• UsK • Digitized by the Internet Archive in 2007 with funding from Microsoft Corporation http://www.archive.org/details/courseofinstructOObentrich * f COURSE OF INSTRUCTION IN ORDNANCE AND GUNNERY: COMPILED FOR THE USE OF THE CADETS OF THE UNITED STATES MILITARY ACADEMY. Capt. J. G. BENTON, Oed. Dept., LATE INSTRUCTOR OF ORDNANCE AND SCIENCE OF GUNNERY, MILITARY ACADEMY, WEST POINT, PRIN. AS9T. TO TIIE CHIEF OF ORDNANCE, U. S. A. SECOND EDITION, REVISED AND ENLARGED. or thc UNIVERSITY ^LlfORH^y KEW YORK: D. VAN NOSTRAND, 192 BROADWAY. 1862. v 1 pK Entered according to Act of Congress, in the year 1 862, By D. VAN NOSTRAND, In the Clerk's Office of the District Court of the United States for the Southern District of New York. C. A. AI.VORD, KLECTROTYPER AND PRINTER. A large portion of the matter contained in the following pages, and particularly that which relates to the " Effects of Gunpowder'' and the " Motion of Projectiles in fire-arms" is taken from Piobert's Cours oV Artillerie. 70 CONTENTS. CHAPTER I. Page. Gunpowder 7 CHAPTER II. Projectiles 71 CHAPTER III. Cannon 104 CHAPTER IV. Artillery Carriages 212 CHAPTER Y. Machines and Implements 248 CHAPTER YI. Small-Arms 270 CHAPTER YII. Ptrotechny 342 CHAPTER YIII. Science of Gunnery . 382 CHAPTER IX. Loading, Pointing and Discharging Fire- Arms 435 CHAPTER X. Different Kinds of Fires 450 CHAPTER XL Effects of Projectiles 471 CHAPTER XII. Employment of Artillery 488 CHAPTER XIII. Tables of Multipliers 505 Tables of Fire 516 APPENDIX. 525 INDEX 537 ORDNANCE AND GUNNERY. PART I. ee £ CHAPTER I. GUNPOWDER. 1. General theory. Gunpowder and the compositions of pyrotechny are the means used, in modern warfare, to propel projectiles, explode mines, destroy ships and buildings, and furnish light and signals for the opera- tions of an army at night. They are simply mechanical mixtures of substances which give out light, heat, and gas in their combustion, or chemical union with each other. The two classes of substances generally used for these purposes are the nitrates and chlorates on one hand, and charcoal, sulphur, antimony, &c, on the other. The former class contains a large amount of oxygen, which is a strong supporter of combustion ; and the latter em- braces those substances which have a powerful affinity for it. Explosion is a phenomenon arising from the sudden enlargement of the volume of a body, as in the case of combustion, when a solid body is rapidly converted into one of vapor or gas. If this change of state be t 8 GUNPOWDER. accompanied by the development of a large amount of heat, the explosive effect will be very much increased. Gunpowder is an explosive substance, formed by the mechanical mixture of nitrate of potassa, sulphur, and charcoal. The parts performed by these ingredients in the ex- plosion will be best understood by an examination of the following table : COMPOSITION OF GUNPOWDER. AFTE] 3 carbonic acid (gas). BEFORE COMBUSTION. AFTER COMBUSTION. 3 parts of carbon, 3 carbon, 6 oxygen, 1 part of nitrate of potassa, -J 1 nitrogen, 1 nitrogen (gas). •.^ Dry Powder, or one containing \ per cent, of moisture, has a velocity of 0.48 in. „ 0.39 in. 0.33 in. 29. Law of formation of gaseous product*. When the form and size of the grains and the velocity of com- bustion are known, we can ascertain, at any given mo- FOKMATION OF GASEOUS PRODUCTS. 45 Fig. 2. ment, the amount of powder consumed, as the velocity is uniform and independent of the surface. Spherical grain. Take a spherical grain of powder of homogeneous structure, one that will completely burn up in -Jq- of a second. Apply fire at any point of its surface, the flame will immediately envelop it, and burn away the first spheri- cal layer ; if, for example, we suppose the time of this partial combustion be T V of the time required to burn up the entire grain, then the radius of the remaining sphere will be only T 9 ^- of the first ; but the volumes of spheres being to each other as the cubes of their radii, the primitive sphere will be to the one which remains after the burning of the first layer, as 1.0 is to 0.729, the cube of .9. Subtracting the second of these numbers from the first, we shall have 0.271, which expresses the difference of volumes of the two spheres, or the amount consumed in the first T V of time, compared to that of the entire grain. By making similar calculations on the other layers, we shall obtain the results contained in the following table : Time of burning 0.000 .100 .200 .300 .400 .500 .600 .700 .800 .900 1.000 Decreasing radii 1.000 .900 .800 .700 .600 .500 .400 .300 .200 .100 0.000 Volumes of grain 1.000 .729 •m .343 .216 .125 .064 .027 .008 .001 0.000 Volumes burnt 0.000 .271 .488 .657 .784 .875 .936 .973 .992 .999 1.000 Volumes burnt in each 0".10 0.000 .271 .217 .171 .127 .091 .061 .037 .019 .007 0.001 It will be seen from this, that for equal intervals of time, those taken in the first period of combustion give forth very much larger amounts of gas than those taken in the last. If, instead of a sphere, we suppose the 46 GUNPOWDER. ITS EFFECTS. grain to be & polyhedron circumscribing a sphere, the burning layers being parallel, the decreasing grain will continue to be a similar polyhedron, circumscribing a sphere. The results given in the table will be strictly true for this case, as well as for grains of conical or cylindrical form, provided their bases be equal to their heights. General formula. A general formula may be de- duced to show the amount of gas developed at any instant of the combustion of a grain or charge of pow- der. For this purpose take a spherical grain of powder, and consider it inflamed over its entire surface. Let t represent the time of burning, from the in- stant of ignition to the moment under consideration: t', the time necessary to burn from the surface to the cen- tre, or total combustion: i?, the radius of the grain. Since the combustion passes over the radius JR in the time t', the velocity of combustion is equal -7", and for the time t 7 it will pass over the space t— - or H— ; t t the radius of the decreasing sphere will therefore be jg/l— — ) The volume of the grain of powder and that of the decreasing sphere are -^nfi 8 and o A. / t \ 3 7r- n IPll— — )> respectively; and their difference, or the quantity of powder burned, will be equal to 3 GENERAL FORMULA. 47 The first factor of this expression represents the primitive volume of a grain of powder, and the other expresses the relation of the volume burned to the primitive volume. The same expression will answer for all the grains of a charge of powder, if they are of the same size and composition ; consequently, if we let A represent the volume or weight of the grains composing a charge of powder, the quantity remaining unburned after the time t will be represented by Ay 1 - t ); and the quantity burned, by A (\-(l -J J). Although the grains of powder are not spherical, their sharp angles are partially worn away by rubbing against each other in glazing and in transportation; and the mode of fabrication and inspection reduces the variation in size within narrow limits; therefore, if we examine the influence which the actual form and size of the grains exercises over the phenomenon of combustion of powder, we shall find that the effect varies but slightly from that due to the spherical form. Application to ordinary powder. Take a grain of ob- long form, like that of a spheroid, or cylinder termi- nated by two hemispheres: it will present a greater surface than a spherical grain of the same weight, and consequently the amount of gas formed from it in the first instants of time, will be greater, and the duration of the combustion will lie less. It can be shown, how- ever, that so long as the size of the grains is kept with- in the regulation limits, this influence will be slight. To do this, take an oblong grain the cylindrical part of 48 GUNPOWDEK. ITS EFFECTS. which has a diameter of .054 in., let it be terminated by two hemispheres, and have a total length of .097 in. (these being the minimum and maximum size of a grain of French cannon-powder, respectively) ; its weight will be about .07 grain, or yy? of a gramme, and with a velocity of combustion of 0.48 it will take 0.056" to burn up completely. French war-powder is composed of grains of different weights, numbering about 310 to every gramme, or 15.4 grs. Troy. If, therefore, powder contain oblong grains of the size stated above, there must be others still smaller : if we suppose them to be in equal quantities, and the larger to be ¥ fy of the unit of weight, then the smaller must be equal to T | ¥ of the unit of weight ; which would be equal to spheres with a radius of 0.027 inch. Comparing the quantities of gas developed in intervals of .008", or about | of the time necessary for the combustion of the smallest grains, we obtain the result in the following table : — Relation of the volume of powder burned, to the vol- Kinds of grains of Powder. ume of the grains after a time of 0".008 0".016 0".024 0".032 0".040 0".048 0".056 Elongated grains, diamr. .054 in. ; length, 0.98 in.,— 210 to the gramme, or 15.4 grs., 0.310 0.555 0.737 0.864 0.946 0.987 1.000 Spherical grains ol 410 to the gramme, or .056 in. diameter, 0.357 0.616 0.794 0.907 0.968 0.994 0.999 Elongated and spherical grains as above, in equal quantities, form- ing a mixture of 310 to the gramme, 0.333 0.585 0.766 0.885 0.958 0.990 0.999 Spherical grains of 310 to the gramme, or 0.063 in. diameter, 0.330 0.580 0.758 0.875 0.948 0.985 0.998 Difference between mixed grains and spherical grains of the same mean weight, 0.003 0.005 0.008 0.010 0.010 0.005 0.001 The differences in the results do not much exceed T ± T , INFLAMMATION. 49 and may be neglected in practice ; we may accordingly consider all the grains of a charge of powder as spheres with radii corresponding to their mean weight. This mean weight is an important element, and may be de- termined by counting the number of grains in a given charge, and dividing the weight of the charge by this number. In war-powder the largest portion of each grain is burned in the first two-tenths of the time required to consume the entire grain : as it has been shown that a grain of ordinary cannon-powder requires 0.1 second for its combustion, the largest portion of the grain will be burned in the first T | -^ of a second. If we consider the velocity of the projectile on leaving a gun, and the time necessary to overcome its inertia in the first period of its movement, we shall see that a very large portion of each grain is burned up before the projectile leaves the gun. If the size of the grain be increased, the effect will be to diminish the amount of gas evolved in the first instants of time, and to diminish the pressure on the breech* This principle has been made use of lately to increase the endurance of large cannon. 29. inflammation. When grains of powder are uni- ted to form a charge,, and fire is communicated to one of them, the heated and expansive gases evolved, insin- uate themselves into the interstices of the charge, en- velop the grains and ignite them, one after the other. * This idea has been carried out more fully in the experiments of Captain Rodman, by converting the powder into one or more cakes, which are perforated with numer- ous small holes for the passage of the flame. In this way a large portion of the powder is consumed on an increasing instead of a decreasing surface, and the amount of gas given out in the last moments will be greater than in the first ; and thus the strain on the breech of a gun may be very much diminished without pro- portionately diminishing the velocity communicated to the projectile. For actual results obtained with this kind of powder, see Note appended to section 109. 4 50 GUNPOWDER. ITS EFFECTS. This propagation of ignition is called inflammation, and its velocity the velocity of inflammation. It is much greater than that of combustion, and it should not be confounded with it. The velocity with which inflamed gases move in a resisting tube, like a cannon, is very great. Hutton cal- culated it to be from 3,000 to 5,000 feet per second ; and Robins determined it by experiment to be about 7,000 feet per second. But when these gases are forced to pass through the interstices of powder, the resistance offered will consider- ably diminish the velocity of their expansion : it is found to vary with the form and size of the grains ; and may be supposed to be reduced to 33 feet per second. The velocity of combustion, as before stated, is only .48 inch per second. Although the velocity of inflammation of a train of powder can afford but an imperfect idea of this velocity in a gun, it may be interesting to study it. The velocity of inflammation of a train of powder generally varies with the size of the grains, with the quantity of powder employed, and the disposition of the surrounding bodies, as will be shown by the following results of actual experiment. The amount of powder in each train was about .11 lb. to the linear foot, and the time corresponding to the distances was one second. On a plane surface in the open air, . 7.87 feet. In an uncovered trough, . . . 8.13 " In a linen tube, .... 11.38 « In the same tube placed in the trough, 17.48 " In the trough covered up, . 27.88 " INFLAMMATION. 51 These velocities are less than those obtained in fire- arms, for the reason that the powder is not only confined at the sides, but at one end, which was not the case in the experiment with the covered trough, where it could expand in both directions. A velocity of more than three hundred feet can be obtained by burning quick-match inclosed in a cloth tube. The size of the cross-section influences the velocity, as was shown by burning a train containing .062 lb. per foot in an open trough : the velocity was 5.77 feet, in- stead of 7.87 feet; and in a covered trough it was twenty feet, instead of 27.88. The velocity, therefore, increases with the cross-section of the train. To determine the influence of the size of the grains on the velocity of inflammation, two trains were fired, one, composed of fine grains, and the other of large ones ; the velocity of the first was 8.2 feet, and the second was 7.54. This difference was due to the greater amount of gas developed by the small grains in the first instants of combustion. The nature of the charcoal exerts an influence, the black being more favorable to inflammation than the red. For a specific gravity of 1.3, the velocity is 7.5 feet. « u "16 u "79 u Light powder is therefore found to be more, inflam- mable than heavy. If the grains be round the interstices are larger, and more favorable to the passage of the flame, and the in- 52 GUNPOWDER. PEODTTCTS OF COMBUSTION. flanimation of the mass. If they be sharp and angu- lar, they will close npon each other in such a way as to reduce the interstices; and although the ignition of such grains may be more rapid, its propagation will be diminished. It has been shown that, when powder is burned in an open train, fine powder inflames more rapidly than coarse ; such, however, is not the case in fire-arms, owing to the diminution of the interstices. If a charge were composed of mealed powder, the flame could no longer find its way through interstices, and the velocity of in- flammation and combustion would become the same. The velocity of inflammation of powder compressed by pounding is about .64 inch, while that of mealed pow- der in the same condition is only .45 in. PRODUCTS, ETC., OF COMBUSTION. 30. Nature of products Temperature and atmos- pheric pressure considerably influence the products ob- tained from burning gunpowder. When exposed in the open air to a temperature gradually increasing to 572° Fahrenheit, the sulphur sublimes, taking with it a por- Note. — By compressing grain-powder under a hydrostatic press it may be con- verted into a solid cake, and be used in loading fire-arms, in place of the ordinary cartridge. No cement is required to unite the grains, as the pressure brings the particles of the surface of the grains within the limits of cohesive attraction, in the same way that artificial limestone is formed by compressing sand. As the pressure diminishes the interstices of the grains, it also diminishes the velocity of inflammation, aad the rapidity with which the charge is converted into flame. Experiments made at "West Point, on some specimens of powder thus prepared by Dr. Doremus, of New York, showed that the pressure on the surface of the bore may be increased or diminished by diminishing or increasing the pressure on the cakes. The cakes were covered by a water-proof, but highly inflammable varnish, which protected the powder from moisture, without apparently diminishing its inflammability. NATURE OF PEODUCTS. 53 tion of the carbpn. This was shown by Saluces, who passed the volatilized products through a screen of very fine cloth, and found carbon deposited on it. Powder may be, therefore, completely decomposed by a gradual heat, without explosion; but when suddenly brought in contact with an ignited body, the temperature of which is at least 572° Fahrenheit, the sulphur has not time to sublime before explosion takes place The proportions for war-powder for the United States service are seventy-six parts of nitre, ten of sulphur, and fourteen of carbon. By the atomic theory the proportions should be 74.64 nitre, 11.85 sulphur, 13.51 carbon. If we adopt these last proportions, the formula for gunpowder becomes (jvo 5 +xo)+s+sa If we suppose the ingredients to be pure, and to arrange themselves under the influence of heat according to their strongest affinities, there will result one equivalent of nitrogen, three of carbonic acid, and one of sulphide of potassium, for (JY0 5 +1T0)+S+ZC=JV+3C0 2 +SK The products are, therefore, solid and gaseous. Usually, powder contains a slight quantity of moisture ; the in- gredients are not absolutely pure, nor are they propor- tioned strictly according to their combining equivalents ; it might be expected, therefore, that the actual would differ from the theoretical results. The actual gaseous products obtained by combustion are, principally nitrogen and carbonic acid, sometimes carbonic oxide, a little sulphuretted hydrogen, carburetted hydrogen, and nitrous oxide. The solid products are, sulphide of potassium, sulphate of potassa, sub-carbonate 54 GUNPOWDER. PRODUCTS OF COMBUSTION. of potassa (mingled with a little carbon), and traces of sulphur. When the sulphide of potassium comes in contact with the air, it is converted into sulphate of potassa, and gives rise to the white smoke which follows the ex- plosion of gunpowder. A portion of the sulphide is sometimes condensed on the surface of the projectile, which accounts for the red appearance of shells, some- times observed in mortar-firing. The solid products are probably volatilized at the moment of explosion by the high temperature which accompanies the combustion ; but, coming in contact with bodies of much lower temperature, they are imme- diately condensed. In chambered arms, small drops of sulphur may be observed condensed on the sides of the bore, which show that the sulphur has been volatilized ; and we know that good powder burns on paper and leaves no trace. This fact, however, was most com- pletely shown by the experiments of Count Rumford. This celebrated observer used a small eprouvette of great strength, which he partially filled with powder, and hermetically closed with a heavy weight. The powder was fired by heating a portion of the eprouvette to redness. Whenever the force was sufficient to raise the weight, the entire products escaped; when it was not, a solid substance was found condensed on the sur- face of the bore furthest from the source of heat. 31. Temperature. The temperature of the gaseous products of fired gunpowder has been variously estima- ted. Saluces determined by experiment that pure cop- per, which melts at a temperature of 4,622 Fahr., was not always melted by them ; while brass, the melting- DETERMINATION OF FORCE. 55 point of which is about 3,900 Fahr., was invariably melted ; he was, therefore, induced to place their tem- perature at about 4,300 Fahr. As metals absorb a large amount of heat before melting, it is probable that the temperature of fired gunpowder is actually more than is here stated. DETERMINATION OF THE FORCE OF GUNPOWDER. 32. Absolute force. The absolute force of gunpow- der is measured by the pressure which it exerts when it exactly fills the space in which it is fired. Various experiments have been made to determine mechanically the absolute expansive force of fired gunpowder, but with widely different results. Robins estimated it at 1,000 atmospheres, Hutton at 1,800, D'Antoni from 1,400 to 1,900, and Rumford carried it as high as 100,000 atmospheres.* These discrepancies arise, in a great measure, from the very great difference which exists be- tween the expansive force of the gases in the different mo- ments of combustion, and from a want of coincidence in the observations. The apparatus used by Rumford to determine this point consisted, essentially, of a small eprouvette, E, capa- ble of holding exactly 25 grains of powder. The orifice * RodmaiVs experiments show the absolute pressure to be at least 13,333 atmos- pheres, or 200,000 lbs. to the square inch. 56 GUNPOWDER. FORCE. was closed with a heavy weight, and the powder was fired by heating the stem of the eprouvette, S, with a redhot cannon-ball, B. For the first trial, he filled the eprouvette with 25 grains of the best quality of dry pow- der, and rested upon the cover the knob, C, of a 24-pd. gun, whose weight was 8,081 lbs. Notwithstanding its great strength, the eprouvette was burst at the first fire into two pieces ; and the 24-pdr. was raised. Rumford endeavored to show from the weight thus raised, that the pressure of the gases on the sides of the eprouvette was greater than 10,000 atmospheres. He further attempted to show, that as the tenacity of good iron is equal to 4,231 times the pressure of the atmosphere on the same surface, and as the surface of rupture was 13 times that of the bore, the force necessary to produce the rupture of the eprouvette must have been 13x4,231, or 55,003 atmospheres. There are circumstances attending this experiment which should be taken into account, and which will very materially diminish this result. They are, the diminution of the tenacity of the iron, due to heating the eprouvette to produce explosion, and the incorrect method by which Rumford estimated the strength of a hollow cylinder subjected to a strain of expansion. 33. Relation between density and force. Experi- ments were continued, with a similar apparatus, to de- termine the relation between the density and the expan- sive force of fired gunpowder. The capacity of the eprouvette was nearly 25 grains. It was fired with vari- ous charges from 1 up to 18 grains; and the expansive force of each discharge was determined by the smallest weight necessary to close the orifice against the escape DENSITY AND FORCE. 57 of the gas. With, the results of 85 trials a table was formed, from which a curve was constructed which ex- presses the relation between the density and expansive force of fired gunpowder, from 1 to 15 grains. By analogy and calculation, this curve was continued up to a charge of 24 grains ; and for the density correspond- ing to this charge, the pressure was found to be 29,1 7 8 atmospheres. This pressure is much greater than that developed in the explosion of projectiles and mines, owing to the low temperature of the surrounding surfaces, and the large amount of heat which they absorb. It is the same with cannon, for the most rapid firing does not raise the temperature of the bore above 210 Fahr., which is much below that of the eprouvette. Besides, the powder does not completely fill the space in rear of the ball ; and, as powder burns progressively, this space is enlarged before the gases are completely developed, and conse- quently their density is diminished. There is also a loss of force by the escape of the gases through the windage and vent. The following equation expresses the relation found to exist between the density and expansive force of charges of gunpowder, from 1 to 15 grains, fired in an eprouvette the capacity of which was 25 grains, or in other words, for charges in which the densities vary from .04 to .6 : p= 1.841 (905dy +0M2d ; in which p represents the pressure in atmospheres, and d the density of the inflamed products. It will be seen from this equation, that the pressure 58 GUNPOWDER. FORCE. +tA increases more rapidly than the density, since the expo- nent of the density is greater than unity. The density of the gases is equal to the weight of the powder burned divided by the space occupied by the gases. By substituting this in the equation, we can determine the pressure exerted at any given instant of the com- bustion. Although this relation is deduced for a particular kind of powder, it may be used for all service- powders and service-charges without serious error, since the actual amount of gaseous products is nearly the same for all, and the densities of the highest service-charges never exceed 0.6* Z^i by substituting t—e for t, and supposing JT=1, should the charge completely fill the space in which it is burn- ed. Integrating between the determined limits, we ob- tain the mean density of the gases developed. The solution of this question, in a general sense, is very difficult, and requires the aid of the differential calculus. There are particular cases, however, where the solution is not difficult ; for instance, where the charge is of cylindrical form and is placed at the bottom of the bore of a gun. 36. Calculation of the den§ity of a charge of cylin- drical form. Although the charge of a gun is ignited at the rear and upper portion, we may consider that all portions of the circular layer at the bottom are inflamed FORCE. 63 at once, and that the inflammation spreads by parallel layers throughout its extent. The space at the bottom of the bore, and the escape of gas through the vent, favor this supposition. Let L represent the total length of the charge, and Q' the time necessary for the inflammation to pass over this length. Let us assume that e'—nt\ t' being the time necessary for the combustion of a single grain of the charge ; n, therefore, is the ratio of these times. L L The velocity of inflammation will be -7, or — ,; and — will represent the portion of the charge inflamed in nt' the time t The length of the charge which will be consumed (and no portion can be entirely consumed unless t>f) will be (t—f) — } ] and the thickness of the burning layer will be the difference between these two quantities, or — ; which is constant. n If the area of a section of the charge, perpendicular to its axis, be taken as the unit of surface, the volumes may be represented by their lengths. Divide the length of the burning portion into a number, A, of smaller sections, the length of one of the smaller sec- tions will be equal to — ; if A be very large, the grains of each very small section may be considered in the same stage of combustion, and the radii of the consumed layers in each grain of the small sections will be represented in parts of the primitive radius, as fol- lows : — 64 GUNPOWDEK. FOKCE. For the 1st, 2d, 3d. . . A— 2, A— 1, A, sections. A A-l A-2 _3 _2_ 1_ A' h ' A ' " ' V A' A' The radii of the burning grains will be, 1 2 A-3 h— 3 A-l. "' A A' " ' "TT 1 A ' A ' and the corresponding volumes of the unburnt portions will be represented by. /1V /A 8 /A-3V /A-2V /A-1V The volumes burned will be represented by, If D represent the gravimetric density of the pow- der, the weight of each small section will be — -D, and the weight of the gaseous products in all the sections will be LjyU l»+2 8 +3 8 +4 8 ...+(A-l) 3 ) . nfi°Y~- ¥ }' but we know in general terms that l3 +2 3 +3 8 ...^, or2z 8 =^±iY; therefore the sum of the weights of the gases formed will be, If we suppose h, the number of sections, to be infi- nite, the above expression will reduce to LD . . LD •(i-0= 3. •' T n FORCE. 65 The portion of the charge entirely consumed being ^ £ t ft equal to —jrL, its weight will be — y-ZD, and the total weight of gaseous matter developed will be, nt ' n nt \ 4 / The space which they occupy is equal to the volume of the inflamed portion of the charge, diminished by the volume of the unburned grains at the end of the time t ; the volume of the burning powder is — , and n its weight is —D. The weight of the portion burned being equal to f- ; that which remains unburned n will be equal to J- , and the density of the grains being d\ their volume will be equal to \ — - The nd volume into which the gases expand will consequently be equal to tZ«LD nt' 4 nd' ' Finally, the mean density of the gases at the instant t will be, tL_ i ZIJ tTB_ nt' T nd' 4d From this it will be seen that the density is indepen- dent of the velocity of inflammation and length of the charge. The formula, however, can only be applied 66 GUNPOWDEE. FOECE. from the instant t=t' to that in which t=d' — t\ that is to say, so long as there exists a portion of the charge in which the combustion is ceasing on its posterior surface, and commencing on its anterior surface. Without committing a serious error, we can, how- ever, apply the formula when t—\t\ because, in taking the sum of the cubes ()+l 8 +2 3 +3 8 +. . .+ (A-l) 3 from 1 to (A— l) 8 it will only be necessary to take it //A 8 from |~J to (h— l) 3 , which makes an error equal to seen by replacing A by - in the expression -J — ^ ' !■ . If the section of the charge, instead of being equal to the section of the bore of the gun, is only -=, the gases being developed freely in a space K times greater, the density D will be diminished in an inverse ratio, and we shall have K tJ D 4tKd' 37. Application to practice. Thus it will be seen that the density, and consequently the expansive force of fired gunpowder can be determined at each instant of combustion, either in the case in which the inflamma- tion is considered instantaneous, or when considered progressive. The accuracy of the formulas was verified in France some years since, in the course of a series of experiments PRACTICAL RESULTS. 67 to determine the influence which the size and density of grains of powder exert upon the initial velocity of a projectile. There were six different sizes of grains tried, viz. : — .26 in., .21 in., .18 in., .15 in., .10 in. (cannon), .05 in. (musket) ; of each size there were six different densi- ties, viz. : — 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, and four different modes of manufacture, making 144 varieties of powder in all. The instruments used were the ballistic pendu- lum, the 4-pdr. gun pendulum, the mortar eprouvette, and the infantry musket. The results of calculation and direct experiment show a remarkable agreement, and may be summed up as fol- lows, viz.: — 1. With the 4-pdr. gun the high densities gave greater velocities when combined with the smallest grains, and vice versa, the low densities gave greater velocities when combined with the largest grains. The grains which gave the highest velocities possessed me- dium size and density, or a density of 1.5 combined with a diameter of 0.18 in. 2. With the mortar eprouvette, which fired a smaller charge than the 4-pdr. gun, the fine-grained powder gave almost invariably greater velocities than the coarse. For a grain of .1 in. (or cannon size), the low- est densities gave the best results, and for a grain of .05 in. (or musket size), the highest densities gave the best results. 3. With the infantry musket, and a still smaller charge, the superiority of fine grains was more marked for all densities, and particularly so for the least. It would appear from the foregoing, that the proper 68 GUNPOWDER. GUN-COTTON. size and density of grains of powder will depend on the weight of the projectile to be moved, the size of the charge, and the diameter and length of the bore in which it is to be burned ; or, in other words, cannon powder should have a coarser grain and higher density than that intended for use in small -arms. GUN-COTTON. 38. Gun-cotton, or pyroxiie. The action of nitric acid on such vegetable substances as saw-dust, linen, paper, and cotton, is to render them very combustible. In their natural state these substances are almost entirely composed of lignine, the constituents of which are oxy- gen, hydrogen, and carbon ; nitric acid furnishes nitro- gen, a substance which enters into the composition of nearly all explosive bodies. Gun-cotton was discovered by Prof. Schonbein, and published to the world in 1846. His method of pre- paring it consists in mixing three parts of sulphuric acid, sp. grav. 1.85, with one part of nitric acid, sp. gr. 1.45 to 1.50 ; and when the mixture cools down to be- tween 50° and 60° Fahr., clean rough cotton, in an open state, is immersed in it ; when soaked, the excess of acid is poured off, and the cotton pressed tightly to remove as much as possible of what remains. The cotton is then covered over and left for half an hour, when it is again pressed, and thoroughly washed in running water to remove all free acid. After being partially dried by pressure, it is washed in an alkaline solution made by dissolving one ounce of the carbonate of potash in a gallon of water. The free acid being thus expelled, it GUN-COTTON. 69 is placed in a press, the excess of alkaline solution ex- pelled, and the cotton left nearly dry. It is then washed in a solution of pure nitrate of potash, one ounce to the gallon, and being again pressed, is dried at a temperature of from 150° to 170°. The sulphuric acid has no direct action on lignine, its use in the preparation of pyroxile being to retain the water abstracted from the cotton, and prevent the solu- tion of the compound, which would take place, to a greater or less extent, in nitric acid alone. Cotton, in its conversion into an explosive substance, increases very considerably in weight, owing to the for- mation of a new and distinct chemical compound. Gun-cotton, when properly prepared, explodes at a temperature of about 380° Fahr. It will not, therefore, ignite gunpowder, when loosely poured over it. Under ordinary circumstances, the electric spark will not explode it ; but if the fluid be retarded in its prog- ress by being passed over the surface of a string mois- tened with common water, and in contact with the cot- ton, explosion will follow. From the experiments of Major Mordecai, made at Washington arsenal, in 1846, the following facts regard- ing the use of this substance in the military service, were ascertained: — 1. The projectile force, when used with moderate charges in musket or cannon, is equal to that of about twice its weight of the best gunpowder. 2. When compressed by hard ramming (as in filling a fuze), it burns slowly. 3. By the absorption of moisture, its force is rapidly diminished, but it is restored by drying. 70 GUNPOWDEK. GUN-COTTON. 4. Its explosive force, or bursting effect, is in a high degree greater than that of gunpowder. In this respect the nature of gun-cotton assimilates much more to that of the fulminates than to gunpowder. It is, conse- quently, well adapted for many purposes in mining. 5. Gun-cotton, well prepared, leaves no perceptible stain when a small quantity is burnt on white paper. 6. It evolves little or no smoke, as the principal resi- due of its combustion is water and nitrous acid ; the lat- ter is made sensible by its odor, and by its effects on the barrel of a gun, which will soon be corroded by it, if not wiped after firing. 7. In consequence of the quickness and intensity of action of gun-cotton, when ignited, it cannot be used with safety in our present fire-arms. An accident of service, such as that of inserting two charges into a musket before firing (which frequently occurs), would cause the bursting of the barrel ; and it is probable that the same result would be produced by regular service charges, repeated a moderate number of times. Within a few years, attempts have been made to in- troduce gun-cotton into the Austrian field-artillery, as a substitute for gunpowder; and for this purpose several batteries of short, thick bronze guns have been prepared for service. ^ d ** PROJECTILES. 71 CHAPTER II. '^tt* PROJECTILES. 39. Definition. A projectile is intended to reach and strike, pass through, or destroy, a distant object; the effect of a projectile varies with its form and the mate- rial of which it is composed. To destroy an object against which it is thrown, a projectile should have certain hardness and tenacity; if it be softer and less tenacious than the object, it will spread out laterally, or break into pieces, and presenting a greater surface, will meet with greater resistance, and consequently penetrate less than if it had preserved its primitive form. Great density is also favorable to penetration, inasmuch as it gives a projectile a greater mass for an equal surface. 40. Material!. Stone, lead, wrought and cast iron are materials, each possessing peculiar advantages for projectiles, according to the circumstances under which they are fired, and the objects against which they are used. Stone. Stone projectiles were used before the inven- tion of gunpowder, and very generally after it, until the year 1400, when the French made them of cast iron. The defects of stone as a material for projectiles, are a want of density and tenacity, which requires it to be used in large masses, and fired with comparatively small charges of powder. The effect of stone balls against 72 PROJECTILES. the walls of ancient cities was very great, but against modern fortifications, where the walls are sustained by large masses of earth, their effect is very slight. Until quite lately, bronze guns, throwing stone balls of enor- mous calibre, were used by the Turks in defending the passage of the Dardanelles. It is stated that when the English fleet, under Admiral Duckworth, forced the passage of these straits, a stone ball weighing 800 lbs. struck and nearly destroyed the English admiral's ship, and that one hundred men were killed and wounded by it. Lead. Lead as a material for projectiles, possesses the essential quality of density ; but it is too soft to be used against very resisting objects, since it is flattened even against water. From its softness and fusibility, large projectiles of this material are liable to be disfigured, and partially melted, by the violent shock and great heat of large charges of powder. Its use is chiefly confined to small- arms and case-shot, which are generally directed against animate objects. These defects of lead may be correct- ed, in a measure, by alloying it with tin, antimony, , b, for the intermediate layer, and a screw-bolt, jo m Fior 13. * The balls for canister for bronze rifle-guns are made of lead, or enclosed in a case of some soft material, to avoid injury to the surface of the bore. 6 82 PROJECTILES. CASE-SHOT. It is stated that canister-shot were first used in the defence of Constantinople, about the middle of the 15 th century. Spherical case-shot. Though projectiles similar to spherical case-shot were used in France as early as the time of Louis XIV., the credit of perfecting them is due to Colonel Shrapnel of the British army. They were first successfully used by the English against the French, in the Peninsular war. The envelope in the spherical case-shot, is a thin cast- iron shell, the weight of which, when empty, is about one half that of the equivalent solid shot. To prepare this shot, it is first filled with round musket-balls, 17 to the lb., and the interstices are then filled up by pouring in melted sulphur or resin ; the object of which Fig. 14. is to solidify the mass of bullets, and prevent them from striking, by their inertia, against the sides of the case and cracking it, when the piece is fired. A hole is bored through the mass of sulphur and bullets, to receive the bursting charge; and, in order not to displace too many bullets, and not to scatter them too far when the shot bursts, the bursting charge should only be sufficient to produce rupture. If the iron, of which the case is made, were always of suitable quality, and the cavity filled with bullets snugly packed in, there would be no necessity for sul- phur to prevent accidents. In this case, it would not be necessary to remove any of the bullets, as the burst- ing charge would be disseminated through the inter- stices ; and the difficulty, which now sometimes arises Ifin^ IP- BAK-SH0T. 83 from their adhering to fragments of the case, would be entirely obviated. To increase the effect of a small bursting charge, the lower portion of the fuze-hole, b, fig. 14, is partially closed, by screwing into it a disk perforated with a small hole for the passage of the flame from the fuze. The spherical case-shot mostly used for field service is the 12-pounder; it contains about 80 bullets; its burst- ing charge is 1 oz. of powder ; and it weighs when fin- ished 11.75 lbs., — nearly as much as a solid shot of the same calibre. The rupture of a spherical case-shot may be made to take place at any point of its flight ; and in this re- spect it is superior to canister and grape-shot, which begin to separate the moment they leave the piece. 47. Bar-shot. Bar-shot consist of two hemispheres, or two spheres, connected together by a bar of iron ; the motion of rotation which these projectiles assume in flight, renders them useful in cutting the masts and rigging of vessels ; but, as they are very inaccurate, they are only employed at short distances. They are very little used, however, at the present day. Chain-shot only differ from bar-shot in the mode of connection, which is a chain, instead of a bar. 48. Percussion bullets. Percussion bullets may be made by placing a small quantity of percussion powder, enclosed in a copper envelope, in the point of an ordinary rifle-musket bullet, or by casting the bullet around a small iron tube, which is afterward filled with powder and surmounted with a common percussion-cap. ^i^^p 5 * 1 The impact of the bullet against a sub- 84 PROJECTILES. RUPTURE. stance no harder than wood is found to ignite the percussion charge or cap, and produce an effective explosion. These projectiles can be used to blow up caissons, and boxes containing ammunition, at very long ditsances. 49. Carcasses. Carcasses are shells which have three additional holes, of the same dimensions as the fuze- hole, pierced at equal distances apart in their upper hemispheres, with their exterior openings tangent to the great circle perpendicular to the axis of the fuze- hole. The object of a carcass is to set fire to wooden structures, by the flame of the burning composition which issues through the holes. CHARGE OF RUPTURE OF SHELLS. 50. Plane of rupture. Suppose the cavity of the shell to be spherical, and concentric with the exterior. As soon as the enclosed charge of powder is inflamed, the gases developed expand into the cavity, and the expansive force increases until it is sufficient to over- come the tenacity of the metal, and produce rupture ; which will take place in the direction of least resistance, or following a surface composed of lines normals to the two surfaces. Let R be the radius of the exterior, and r the radius of the interior surface ; 0, the common centre of the two spheres ; T, the tenacity of the material of which the sphere is composed ; and />, the pres- Fig. 16. sure on a un it f surface to overcome the tenacity of the metal. PLANE OF KUPTURE. 85 Let C be the radius of the circle of rupture on the interior surface. From the known properties of gases, the pressure exercised on the area of this circle to pro- duce rupture is equal to the components of all the nor- mal pressures acting on the spherical segment of which it is the base, taken perpendicularly to the plane of this circle ; therefore npC 2 is the pressure of the gases which tends to break the sphere. Under this supposition, rupture should follow the surface of the frustrum of a cone of which this circle is the smaller base. The surface of this frustrum is equal to the differ- ence of the surfaces of two cones whose common apex is at the centre of the sphere. The base of the smaller is 2 7r CJ and its slant height r ; its surface therefore is equal to nCr, The surface of the larger cone, whose generatrix is the radius of the exterior sphere, will be R 2 to the smaller as R 2 is to r 2 , and therefore -nCr— their difference, or the area of the surface of rupture will be equal to -«(>-') If the pressure of the gases acted normally to the sur- face of the fracture, or in the direction of the tenacity, this surface multiplied by T would give the total resist- ance, which should be equal to the pressure of the gases ; but it acts obliquely, and to produce rupture should be increased by a quantity which depends on the law of increase of the resistance due to the angle which the pressure makes with the normal. Although we cannot measure this resistance, it must be admitted 86 PROJECTILES. RUPTURE. that the effect to overcome is greatest when the power is in the direction of the normal to the surface of rupture. We shall, therefore, have the relation, pn C 2 = TnCr(~-l\+d y =^)+ Or, In this expression the value of 6 is unknown ; but it is easy to be seen that it diminishes as the direction of the pressure approaches the normal, and when they coincide 6 becomes 0. At the same time C increases, and the value of p diminishes, until C becomes equal to r, its maximum value. Therefore, the section of easiest rupture of a hollow sphere passes through a great circle, and the pressure which is in equilibrio with the tenacity of the metal, will be given by the fore- going formula, by making C= r, and (5=0 ; it will then become, When the pressure is less than this value of J9, the sphere will resist its charge of powder; when it is greater than this value, the sphere will burst. The density of the gaseous products of the powder necessary to burst the sphere can be easily found by Rumford's formula : Atmos. L + 0.362d p= 1.841 (905d) v but d, or the density of the gaseous products, is equal LOSS OF GAS. 87 to their weight, or the weight of the bursting charge, divided by the interior space of the sphere. j w Or, " **'*' 51. Lo§s of gas by fuze-hole. This loss of force by the fuze-hole may be ascertained with sufficient accuracy, provided we know from actual experiment the amount of the loss from the fuze-hole of any one shell. Let H and r be the exterior and interior radii of a spherical projectile ; T, the tenacity of the metal ; i y the radius of the fuze-hole ; ?//, the weight of powder neces- sary to burst it under the supposition that there is no loss of force at the fuze-hole ; w, the weight of powder that is actually required to burst it. By the preceding formulas we obtain the value of w'\ lu—w is therefore the amount of loss by the fuze-hole. Take another pro- jectile, and let w\ represent the charge which is neces- sary to burst it, under the supposition that there is no loss, and w / the weight that is found by experiment necessary to burst it; w, — w\ will represent the loss. We are at liberty to suppose the loss from the two fuze-holes is proportional to the size of the holes, and the density of the gases at the moment of rupture ; we shall, therefore, have this proportion, w—w' : w / —w/ : : #d : i*d t i , / ,\#d or, w=w -\-{w—w. j-tttt- From the experiments made at Metz in 1835, it was shown that this mode of estimating the loss of force by 88 PKOJECTILES. FABRICATION. the fuze-hole, was sufficiently exact for practical pur- poses. FABRICATION OF PROJECTILES. 52. Materials. Shot and shells should be made of gray or mottled iron, of good quality. Spherical case-shot should be made of the best quality of iron, and with peculiar care, in order that they may not break in the gun. All projectiles should be cast in sand and not in iron moulds, as those from the latter are generally not spher- ical in form, nor uniform in size ; they are also full of cavities, and are cracked by being heated. Sand. The sand used should be silicious, of an angu- lar grain, and moderate degree of fineness. It should be mixed with a sufficient quantity of clay, so that, when slightly moistened, it will retain its shape when pressed in the hand. Pattern. The pattern of a spherical projectile is corn- Fig. 17. to draw it from the sand when the half-niould is completed. The flasks which contain the mould are made of cast iron, in two equal parts united at their larger bases. Moulding. This operation is performed by placing the flat side of one of the hemispheres on the moulding board, and covering it with a flask. Sand is then PATTERN. 89 poured into the flask, filling up the entire space between it and the hemisphere, and well rammed. The flask is then turned over, the hemisphere is withdrawn, and the entire surface of the sand painted with coke-wash, and dried. The remaining half of the mould is formed in the same way, except that a channel for the introduc- tion of the melted iron is made by inserting a round stick in the sand before it is rammed, and withdrawing it afterward. This channel forms a sinking head, and supplies any deficiency of metal in the mould. The inner orifice of the sinking head should be situated at the side of the mould, in order that the surface of the sand may not be broken by the falling metal. Hollow projectiles. Thus far, the operation of mould- ing and casting solid and hollow projectiles are the same. The cavity of a hollow projectile is made by in- serting a core of sand, which is formed around a stem fastened into the lower half of the mould. The stem is hollow, and perforated with small holes to allow of the escape of steam and gas generated by the heat of the melted metal. It is also made of iron, but that part of it which comes in contact with the melted iron, and forms the fuze-hole, is coated with sand. In pouring the melted iron into the mould with the ladle, care should be taken to prevent scoria and dirt from entering with it ; and, for this purpose, the sur- face should be skimmed with a wooden stick. Before the iron is fairly cooled, the flasks are open- ed, and the sand knocked from the castings. After this, the core is broken up and knocked out, and the in- terior surface cleaned by a scraper. The sinking head 90 PKOJECTILES. INSPECTION. and other excrescences are knocked off, and the surface smoothed in a rolling-barrel, or with a file, or chisel, if necessary. The fuze-hole is then reamed out to the proper size, and the projectile is ready for inspection. INSPECTION OF PROJECTILES. 53. Object of inspection. The principal points to be observed in inspecting shot and shells are, to see that they are of proper size in all their parts ; that they are made of suitable metal; and that they have no defects, concealed or otherwise, which will endanger their use, or impair the accuracy of their fire. As it would be impracticable to make all projectiles of exact dimensions, certain variations are allowed in the fabrication. See Ordnance Manual. Inspection of shot. The instruments are one large and one small gauge, and one cylinder gauge ; the cylin- der gauge has the same diameter as the large gauge, it is made of cast iron, and is five calibres long. There are also, one hammer with a conical point, six steel punches, and one searcher made of wire. The shot should be inspected before they become rusty ; after being well cleaned, each shot is placed on a table and examined by the eye to see that its surface is smooth, and that the metal is sound and free from seams, flaws, and blisters. If cavities or small holes appear on the surface, strike the point of the hammer or punch into them, and ascertain their depth with the searcher ; if the depth of the cavity exceed 0.2 inch, the shot is rejected ; and also if it appear that an at- tempt has been made to conceal such defects by filling them up with nails, cement, &c. INSPECTION. 91 The shot must pass in every direction through the large gauge, and not at all through the small one ; the founder should endeavor to bring the shot up as near as possible to the large gauge, or to the true diam- eter. After having been thus examined, the shot are pass- ed through the cylinder gauge, which is placed in an in- clined position, and turned from time to time, to pre- vent its being worn into furrows ; shot which slide or stick in the cylinder are rejected. Shot are proved by dropping them from a height of twenty feet on a block of iron, or rolling them down an inclined plane of that height, against another shot at the bottom of the plane. The average weight of the shot is deduced from that of three parcels of twenty to fifty each, taken indiscrim- inately from the pile ; some of those which appear to be the smallest should also be weighed, and they are rejected if they fall short of the weight expressed by •their calibre, more than one thirty -second part. They almost invariably exceed that weight. Inspection of grape and canister shot. The dimen- sions are verified by means of a large and small gauge, attached to the same handle. The surface of the shot should be smooth, and free from seams. Inspection of hollow projectiles. The inspecting in- struments are a large and small gauge for each calibre, and a cylinder gauge for shells of eight inches and under. Calipers for measuring the thickness of shells at the sides. Calipers to measure the thickness at the bottom. 92 PROJECTILES. INSPECTION. Gauges to verify the dimensions of the fuze-hole, and the thickness of the metal at the fuze-hole. A pair of hand-bellows ; a wooden plug to fit the fuze-hole, and bored through to receive the nozzle of the bellows. A hammer; a searcher ; a cold chisel ; steel punches. Inspection. The surface of the shell and its exterior dimensions, are examined as in the case of shot. The shell is next struck with the hammer, to judge by the sound whether it is free from cracks ; the position and dimensions of the ears are verified ; the thickness of the metal is then measured at several points on the great circle perpendicular to the axis of the fuze-hole. The diameter of the fuze-hole, which should be accurately reamed, is then verified, and the soundness of the metal about the inside of the hole is ascertained by inserting the finger. The shell is now placed on a trivet, in a tub contain- ing water deep enough to cover it nearly to the fuze- hole ; the bellows and plug are inserted into the fuze- hole, and the air forced into the shell ; if there be any holes in the shell, the air will rise in bubbles through the water. This test gives another indication of the soundness of the metal, as the parts containing cavities will dry more slowly than other parts. The mean weight of shells is ascertained in the same manner as that of shot. Shot and shells rejected in the inspection, are marked with an X made with a cold chisel — on shot near the gate, and on shells near the fuze-hole. PRESEKVATION. PILING. 93 PKESERVATION AND PILING OF BALLS. 54. lackering. Projectiles should be carefully lack- ered as soon as possible after they are received. When it is necessary to renew the lacker, the old lacker should be removed by rolling or scraping the balls, which should never be heated for that purpose. Piling. Balls should be piled according to kind and calibre, under cover if practicable, in a place where there is a free circulation of air ; to facilitate which, the piles should be narrow if the locality permits ; the width of the bottom tier may be from twelve to fourteen balls, according to the calibre. Prepare the ground for the base of the pile by rais- ing it above the level of the surrounding ground, so as to throw off the water ; level it, ram it well, and cover it with a layer of screened sand. Make the bottom of the pile with a tier of unserviceable balls, buried about two-thirds of their diameter in the sand ; this base may be made permanent ; clean the base well, and form the pile, putting the fuze-holes of the shells downward, in the intervals, and not resting on the shells below. The base may be also made of bricks, concrete, stone, or with borders and braces of iron. 55. To find the number of balls in a pile. Multiply the sura of the three parallel edges by one-third of the number in a triangular face. In a square pile, one of the parallel edges contains but one ball; in a /triangular pile, two of the edges have but one ball in each. 94 PEOJECTILES. EOCKETS. The number of balls in a triangular face is ^ ~*~ , n being the number in the bottom row. The sum of the three parallel edges in a triangular pile is n -\-2 ; in a square pile, 2n-\-l ; in an oblong pile, 3JV-\-2n—2 ; N being the length of the top row, and n the width of the bottom tier; or 3m— n-\-\; m being the length, and n the width of the bottom tier. If a pile consist of two joined at right angles, calcu- late the contents of one as a common pile, and the other as a pile of which three parallel edges are equal. THEORY AND CONSTRUCTION OF ROCKETS. 56. structure, A rocket is a projectile which is set in motion by a force residing withjn itself; it therefore performs the two-fold function of piece and projectile. It is essentially composed of a strong case of paper or wrought iron, enclosing a composition of nitre, charcoal, and sulphur — the same as gunpowder, except that the ingredients are proportioned for a slower rate of com- bustion. If penetration and range be required, its head is surmounted by a solid shot / if explosion and incen- diary effect, by a shell or spherical case-shot, to which is attached a fuze, which is set on fire when it is reached by the flame of the burning composition. The base is perforated by one or more vents for the escape of the gas generated within, and sometimes with a screw-hole to which a guide-stick is fastened. The disposition of the different parts will be readily understood by reference to the subjoined figure, which MOTION. 95 represents a section through the long axis of a Congreve rocket. Fig. 18. 57. uiotion. A rocket is set in motion by the reaction of a rapid stream of gas escaping through its vents. If it be surrounded by a resisting medium, the atmosphere for instance, the particles of gas, as they issue from the vent, will impinge against and set in motion certain par- ticles of air, and the force expended on the inertia of these particles will react and increase the propelling force of the rocket. It follows, therefore, that, though a rocket will move in vacuo, its propelling force will be increased by the presence of a resisting medium. Whether the effect will be to accelerate the rocket de- pends upon the relation between the resistance which the medium offers to the motion of the gas, and that which it offers to the motion of the rocket. Vent. As the rate of combustion of the composition is independent of the pressure of the gas in the bore, it follows, that if the size of the vent be contracted, the flow of gas through it will be accelerated. The strength of the case, and the friction of the gas, which increases as the vent diminishes, alone limit the reduction of the size of the vent. For vents of the same size, but of different shapes, that one which allows the gas to escape most freely, will be most favorable to the flight of the rocket. A conical form of vent, with the larger orifice next to the bore, will allow the gas to escape more rapidly than 96 PROJECTILES. ROCKETS. one of cylindrical form. This may be shown by burn- ing portfire composition in tubes with different-shaped vents. It will be found that the sparks from a conical vent will be thrown much higher than those from a cylindrical vent ; the relative heights depending on the slope of the sides of the conical vent. Bwe. As the composition of a rocket burns in parallel layers of uniform thickness, the amount of gas generated in a given time, or the velocity of its exit from the case, depends on the extent of the inflamed surface. Experience shows that to obtain the required sur- face of inflammation, it is necessary to form a long cavity in the mass of the composition. This cavity is called the lore. In small rockets, the bore is formed by driving the composition around a spindle which is after- ward withdrawn ; but in the large ones, the composition is driven into the case in a solid mass by a powerful hydrostatic press, and then bored out with a bit. In all rockets the bore should be concentric with the case ; its shape should be made conical to facilitate the draw- ing out of the spindle, and to diminish the strain on the case near its head, by reducing the amount of surface where the pressure on the unit of surface is greatest. Nature of movement Suppose the rocket in a state of rest, and the composition ignited; the flame imme- diately spreads over the surface of the bore, forming gas, which issues from the vent. The escape is slow in the first moments, as the density of the gas is slight ; but as the surface of the inflammation is large compared to the size of the vent, the gas accumulates rapidly, and its density is increased until the velocity of the escape GUIDING PRINCIPLE. 97 is sufficient to overcome the resistances which the rocket offers to motion. These resistances are, inertia, friction, the component of weight in the direction of motion, and, after motion takes place, the resistance of the air. The constant pressure on the head of the bore accel- erates the motion of the rocket until the resistance of the air equals the propelling force ; after this, it will remain constant until the burning surface is sensibly diminished. When the gas ceases to flow, the rocket loses its distinctive character, and becomes, so far as its movement is concerned, an ordinary projectile. The increase in the surface of combustion whereby more gas is developed in the same time, and the dimi- nution in the weight of the remaining composition, cause the point of maximum velocity to be reached with increased rapidity.. If the weight of the rocket be increased, the instant of maximum velocity will be pro- longed, but the amount will remain the same. A change in the form of the rocket which increases the resistance of the air, will have the effect to diminish the maximum velocity. The maximum velocity of French rockets, and the distances at which they are attained, are given in the following table : — CALIBRE. DISTANCE. MAXM. VELOCITY. 2} inches, 134 yds. 278 yds. 3£ " 141 " 370 " According to* the- calculations of Piobert, for small rockets it takes about f- second for the gas to attain its maximum velocity of 850 yds. 58. Ouiding principle. The propelling force of a 7 98 PEOJECTILES. KOCKETS. rocket changes its direction with the axis along which it acts ; it follows, therefore, that without some means of giving stability to this axis, the path described will be very irregular, so much so, at times, as to fold upon itself; and instances have been known where these pro- jectiles have returned to the point whence they started. An example of this irregular motion may be seen in "serpents," a species of small rockets without guide- sticks. The two means now used to give steadiness to the flight of a rocket are, rotation, as in the case of a rifle- ball, and the resistance of the air, as in an arrow. Holds system. The first is exemplified in Hale's rocket, where rotation is produced around the long axis by the escape of the gas through five small vents situ- ated obliquely to it. In his first arrangement, the in- ventor placed the small vents in the base, surrounding the large central vent, so that the resultant of the tan- gential forces acted around the posterior extremity of the axis of rotation. In 1855, this arrangement was changed by reducing the number of the small vents to three, and placing them at the base of the head of the rocket. The rocket thus modified, and shown in fig. 20, is the one now used by the United States government for war purposes * * It is said that Mr. Hale's latest improvement consists in placing the tan- gential vents in a plane passing through the centre of gravity of the rocket, and at right angles to the axis. This is accomplished by dividing the case into two distinct parts, or rockets, by -pjg 19 a perforated partition. The composition in the front part furnishes the gas for rotation, and that in the rear the gas for propulsion. See fig 19. — New Resources of Warfare, by Scoff em. HOW FIKED. 99 Fig. 20. a. .Bore and vent. b . . Recess in the base of the head. c. .Tangential vent (three). d. .Head (solid). Congrevds system. A Congreve rocket is guided by a long wooden stick attached to its base. If any cause act to turn it from its proper direction, it will be op- posed by resistances equal to its moment of inertia and the lateral action of the air against the stick. The effect of these resistances w r ill be increased by placing the centre of gravity near the head of the rocket, and by increasing the surface of the stick. In signal rockets, where the case is made of paper, the stick is attached to the side by wrapping around twine; and there is but one large vent, which is in the centre of the case. In war-rockets the stick is attached to the centre of the base, and the large central vent is replaced by several small ones near its circumference. See fig. 18. The former arrangement is not so favorable to accuracy as the latt3r, inasmuch as rotation will be produced if the force of propulsion and the resistance of the air do not act in the same line. 59. How fired. Rockets are generally fired from tubes or gutters ; but should occasion require it, they may be fired directly from the ground, care being taken to raise the forward end by propping it up with a stick or stone. As the motion is slow in the first moments of its flight, it is more liable to be deviated from its 100 PROJECTILES. ROCKETS. proper direction at this time than any other ; for this reason the conducting tube should be as long as prac- ticable, say from five to ten feet.* 60. Form of trajectory. Take that portion of the trajectory where the velocity is uniform. The weight of the rocket applied at its centre of gravity, and acting in a vertical direction, and the propelling force acting in the direction of its length, are two forces the oblique resultant of which moves the rocket parallel to itself; but the resistance of the air is oblique to this direction, and acting at the centre of figure, a point situated be- tween the centre of gravity and extremity of the guide- stick, produces a rotation which raises the stick, and thereby changes the direction in which the gas acts. As these forces are constantly acting, it follows that each element of the trajectory has less inclination to the horizon than the element of an ordinary trajectory in which the velocity is equal. When the velocity is not uniform, the position of the centre of gravity has a certain influence on the form of the trajectory. To understand this, it is necessary to consider that the component of the resistance of the air which acts on the head of the rocket is greater than that which acts on the side of the stick. It is also ne- cessary to consider that the pressure of the inflamed gas acts in a direction opposite to the resistance of the air, that is to say, from the rear to the front, and that the centre of gravity is near the rear extremity of the case. * Mr. Hale has suggested a means of using a short tube, by applying a pressure to the rfccket to retain it in its place until the^ gas has acquired the requisite velocity. TOEM OF TRAJECTORY. 101 At the beginning of the trajectory, when the motion of the rocket is accelerated, its inertia is opposed to motion, and being applied at the centre of gravity, which is in rear of the vent, the point of application of the moving force, it acts to prevent the rocket from turning over in its flight. But when the composition is consumed, the centre of gravity is thrown further to the rear, and the velocity of the rocket is retarded, the inertia acts in the opposite direction, and the effect will be, if the centre of gravity or inertia is sufficiently far to the rear, to cause it to turn over in the direction of its length. If the rocket be directed toward the earth, this turning over will be counteracted by the acceleration of velocity due to the weight, and the form of the trajectory will be preserved. Effect of wind. When the wind acts obliquely to the plane of fire, its component perpendicular to this plane, acting at the centre of figure, will cause the rocket to rotate around its centre of gravity. As the centre of figure is situated in rear of the centre of grav- ity, the point will be thrown toward the wind, and the propelling force acting always in the direction of the axis, the rocket will be urged toward the direction of the wind. To make an allowance for the wind, in firing rockets, they should be pointed toward the op- posite side from which the wind comes, or with the wind instead of against it. If the wind act in the plane of fire from front to rear, it will have the effect to depress the point, and with it the elements of the trajectory in the ascending branch, and elevate them in the descending branch ; as 102 PEO JECTILES. ROCKETS. the latter is shorter than the former, the effect of a front wind will be to diminish the range. The converse will be true for a rear wind. 61. History. Rockets were used in India and China for war purposes before the discovery of gunpowder; some writers fix the date of their invention about the close of the ninth century. Their inferior force and ac- curacy limited the sphere of their operations to incen- diary purposes, until the year 1804, when v Sir William Congreve turned his attention to their improvement. This officer substituted sheet-iron cases for those made of paper, which enabled him to use a more powerful composition ; he made the guide-stick shorter and lighter, and removed a source of inaccuracy of flight by attaching the stick to the centre of the base instead of the side of the case. He states that he was enabled by his improvements to increase the range of 6-pdr. rock- ets from 600 to 2,000 yards. Under his direction they were prepared, and used successfully at the siege of Boulogne and the battle of Leipsic. At the latter place they were served by a special corps. 62. Advantages. The advantages claimed for rockets over cannon are, unlimited size of projectile ; portabil- ity; freedom from recoil; rapidity of discharge; and the terror which their noise and fiery trail produce on mounted troops. The numerous conditions to be fulfilled in their con- struction in order to obtain accuracy of flight, and the uncertainty of preserving the composition uninjured for a length of time, are difficulties not yet entirely over- come, and which have much restricted their usefulness for general military purposes. KIND USED. 103 63. Kind used. The two sizes of Hale's rockets in use in the American service are, the 2-inch (interior diameter of case), weighing 6 lbs. ; and 3-inch " " " " 16 lbs. Under an angle of from 4° to 5° the range of these rockets is from 500 to 600 yds. Under an angle of 47° the range of the former is 1,760 yds. and the latter 2,200. O 104 CANNON. d%( <^- 1 CHAPTER III. HISTORY OF CANNON. MORTAR. 64. The terms cannon and ordnance are applied to all heavy fire-arms which are discharged from carriages, in contradistinction to email arms, which are discharged from the hand. 65. Early cannon.* The shape of the first cannon used, after the invention of gunpow- der was conical, internally and externally resembling an apothecary's mortar. They Fi s- 21. were called mortars, bombards and vases, BOMBARD. were fired at high angles ; and, in conse- quence of the slow burning of the pow- der of that day, and the conical shape of the bore, the stone balls which they pro- Fig. 22. jected moved with very little velocity and accuracy. Perriere. To economize the action of the powder, and give a more accurate direction to the projectile, the in- terior space, or bore, was afterward made nearly cylin- drical, from 4 to 8 calibres long ; it was terminated at * Vide Thiroux. ANCIENT CANNON. 105 the bottom by a very narrow and deep chamber, the object of which was to increase the effect of the powder, by retarding the escape of the gas before it acted on the projectile. These cannon were further improved by making the bores perfectly cylindrical ; and were called perrieres (fig. 23), from the fact that they fired stone balls. They were principally employed to breach stone walls, and for this purpose were fired horizontally. PERRIERE. Fig. 23. 66. Con§truction of early cannon. The first bom- bards were made of bars of iron, bound together by hoops, after the manner of the staves of a barrel. Fig. 22. Afterward they were made of wrought iron, and finally of cast metal. Bronze guns were used in the time of King John of France. Among the earliest cannon are found those which were loaded at the breech instead of the muzzle. One of the methods is shown in Hg. 24, in which A repre- sents a rectangular opening formed at the breech for the purpose of receiving a movable chamber, C 9 which con- tained the charge, and was held in its place by a key, Fig 24. D. Though these pieces possessed great facility in load- 106 CANNON. ANCIENT GUNS. ing, they were abandoned for want of strength and solidity. 67. Ancient guns. The introduction of cast-iron pro- jectiles, which are much stronger and denser than those of stone, led to the invention of a new species of can- non, called cuherins, which very nearly correspond in construction and appearance to the guns of the present day. The great strength of these pieces and their pro- jectiles, permitted the use of a large charge of powder ; and their introduction proved an important step in the improvement of artillery. CULVERIN. OSSii •2* Pig. 25. The idea was entertained by ancient artillerists — founded on the relation which cannon were erroneously supposed to bear to small arms — that the range increased with the length of the piece ; and in consequence, many culverins were made of enormous length. A remark- able piece of this description still exists at Dover, Eng- land, familiarly known as Queen Anne's pocket-piece. While it carries a ball weighing only 18 lbs., it is more than 25 feet long. 68. Ancient mortars. From the earliest days of ar- tillery there existed short, chambered pieces, which projected stone balls under great angles of elevation. In 1478, an attempt was made to use in these pieces, hollow projectiles filled with powder, to which was at- tached a burning match to set the powder on fire ; but it is probable that the accidents which accompanied CALIBKE. 107 their use caused them to be abandoned for the time. In 1634, however, means were devised to overcome this difficulty; and, thus perfected, these pieces were intro- duced into the French service as a class of cannon now known as mortars. In the reign of Louis XIV., a great variety of mor- tars were used ; and some of them, called Comminges, after their inventor, threw bombs weighing 550 lbs. 69. Ancient howitzers. Early attempts were also made to throw hollow projectiles from " perrieres," and " culverins," or guns ; but great difficulties were expe- rienced in loading them ; and the accidents to which they were liable, as in the case of mortars, caused them to be abandoned. Subsequently, however, the Dutch artillerists conceived the idea of reducing their length, so that the projectile could be inserted in its place by hand; and, thus improved, these cannon rapidly came into use, under the name of howitzers, from the Ger- man, Haubitz. 70. Calibre. The calibre of a cannon is the diameter of its bore expressed in inches, or the weight of the shot corresponding to it.* Each nation early adopted a series of calibres, decreasing in a geometrical pro- gression. The principal series were the French, or 32-pounder, 16-pounder, 8-pounder, 4-pounder, and * In some services the calibre refers to the size of the bore, in others, to the size of the shot. In Germany, the projectile referred to is a stone ball. TABLE OP CALIBRES IN AMERICAN SERVICE. 6-pd. 9-pd. 12-pd. 18-pd. 24-pd. 32-pd. 42-pd. 3.67" 4.2" 4.62" 5.2" 5.82" 6.4" 7.0" 108 CANNON. - "MATERIEL. SYSTEM. 2-pounder; and the German, or 48-pounder, 24-pounder, 1 2-pounder, 6-pounder, 3-pounder, and Impounder. 71. Devices. Down to the time of the French revo- lution, bronze cannon were highly ornamented with carved figures representing some fanciful design, to- gether with the national coat-of-arms and cypher of the reigning monarch. Each piece also bore a particular name borrowed from some animal or passion ; and French cannon of the ,time of Louis XVI. bore the mot- toes, " Nee pluribus impar," and " Ultima ratio regum." That this custom of naming cannon is not entirely ob- solete, is shown by a piece of singular shape and con- struction, captured in the late war with Mexico, which bears the title of "El Terror del Norte Americano." 72. " Hateriei."— System. The expression, "materiel of artillery" embraces all cannon, carriages, implements, ammunition, &c, necessary for artillery purposes, and is used in contradistinction to "personnel of artillery" which refers to the officers and men. The expression, " system of artillery" refers to the character and arrange- ment of the materiel of artillery, as adopted by a nation at any particular epoch. In the United States' service, the term " ordnance and ordnance stores," embraces not only all the materiel of artillery, but the swords, small arms, and accoutrements used by infantry and mounted troops. The principal qualities to be observed in establishing a system of artillery are simplicity, mobility, and power ; and the improvements which have been made in artil- lery in the last four hundred years have had these quali- ties steadily in view. The American systems of field and siege artillery are FIRST SYSTEM. 109 chiefly derived from those of France ; it will, therefore, be useful to the pupil to study the history of the latter, and compare the successive steps of improvement which have brought them to their present state of perfection * 73. First system. Toward the middle of the sixteenth century, the various guns of the French artillery were reduced to six. The weights of the balls correspond- ing to these calibres were 33|, 15|, 7|, 2£, 1^, and f- lb. respectively. This range of calibres was thought to be necessary, for the reason that it required guns of large calibre to destroy resisting objects, while guns of small calibre were necessary to keep up with the movement of troops. Each of the five principal calibres was mounted on a different carriage, and the ammunition, stores, and tools were carried on different store-carts. Three kinds of powder were used, viz. : large-grain, small-grain, and priming, which were carried in barrels of three sizes. The axle-trees, which were of wood, varied for the different wheels, as well as for the different guns. The gun-carriages were without limbers, and had only two wheels, the shafts being attached to the trails, which often dragged along the ground. No spare wheels were used, except for pieces of large calibre ; and for facility of transportation these were put on an axle-tree, so as to form a carriage. With the exception of replacing injured wheels, all repairs were made on the spot, from the resources of the country, and no spare articles were carried with the train. There was no established charge of powder for * Vide New System of Field Artillery, by Captain Fave. 110 CANNON. DIFFERENT SYSTEMS. the guns ; although a weight equal to that of the shot was generally used. Such was the character of the artillery which accom- panied the French armies up to the middle of the seven- teenth century. 74. Second system. In the reign of Louis XIV., the calibres of cannon were gradually changed by the in- troduction of several foreign pieces. There were 48, 32, 24, 16, 12, 8, and 4 pdrs. ; and those of the same calibre varied in weight, length, and shape. Uniformity existed in general in each district com- manded by a lieutenant-general of artillery, but the cannon of one district differed from another. Each district had (for the six kinds of cannon) six carriages, with different wheels, and three kinds of limbers, with different wheels, making nine patterns of wheels, with- out counting those for the platform wagons used to transport heavy guns, the ammunition carts, the trucks, and the wagons for small stores and tools. Spare carriages were carried into the field, but those of one district would not fit the guns of another. There was but one kind of powder, and this was carried in barrels. The charge was usually two-thirds the weight of the projectile, roughly measured. Besides this, the powder often varied in strength according to the dis- trict from which it came. 75. Vaiiere's system. In 1732, General Valiere abol- ished the 32-pdr., as being heavy and useless, and gave uni- formity to the five remaining calibres. Toward the end of the 18th century, mortars, or Dutch howitzers, were sometimes attached to the field trains ; for the latter, a small charge, and calibre of 8 inches, were adopted. gribeatjval's system. Ill There were also light 4-pdr. guns attached to each regi- ment. Up to that time an army always carried with it heavy guns (24-pdrs.), and light guns (4-pdrs.), which were combined in the same park. Valiere established a system of uniformity for cannon throughout France ; but such was not the case with the carriages and wagons used with them. Great exactness was not then sought for, and there existed as many plans for constructing gun-carriages as there were ar- senals of construction. The axle-trees were made of wood, the limbers were very low, and the horses were attached in single file. 75. Gribcauvai's sy§tem. In 1765, General Gribeauval founded a new system, by separating the field from the siege artillery. He diminished the charge of field-guns from a half to a third the weight of the shot, but as he diminished the windage of the projectile at the same time, he was enabled to shorten them and render them lighter, without sensibly diminishing their range. Field artillery then consisted of 12, 8, and 4 pdr. guns, to which was added a 6-inch howitzer, still retain- ing a small charge, but larger in proportion than that before used. For draught, the horses were disposed in double files, which was much more favorable to rapid gaits. Iron axle-trees, higher limbers, and travelling trunnion-holes, rendered the draught easier. The adoption of cartridges, elevating screws, and tangent scales, increased the rapidity and regularity of the fire. Stronger carriages were made for the lighter guns, and the different parts of all were made with more care, and strengthened with iron work. Uniformity was estab- lished in all the new constructions, by compelling all 112 CANNON. DIFFERENT SYSTEMS. the arsenals to make every part of the carriages, wagons, and limbers according to certain fixed dimensions. By this exact correspondence of all the parts of a carriage, spare parts could be carried into the field ready made, to refit. Thus an equipment was obtained which could be easily repaired, and could be moved with a facility hitherto unknown. In order to reduce the number of spare articles neces- sary for repairs, Gribeauval gave, as far as practicable, the same dimensions to those things which were of the same nature. The excellence of this system was tested in the wars of the French Republic and Empire, in which it played an important part. 77. stock trail §y§tem. In 1827, the system of Gri- beauval was changed by introducing the 24 and 32 pdr. howitzers, lengthened to correspond with the 8 and 12 pdr. guns, and abolishing the 4-pdr. gun and 6-inch howitzer. Afterward some important improvements were made in the carriages, chiefly copied from the English system ; the number for all field cannon was reduced to two, the wheels of the carriage and limber were made of the same size ; the weight of the limber was reduced, and an ammunition chest placed on it ; the method of connecting the carriage and limber was sim- plified, and the operations of limbering and unlimbering greatly facilitated ; and the two flasks which formed the trail were replaced by a single piece, called the stock, which arrangement allowed the new pieces to turn in a smaller space than that required by the old ones. 78. JLouis Napoleon's system. In 1850, the present Emperor of the French caused a series of experiments to RECENT IMPROVEMENTS. 113 be made, at the principal artillery schools of France, to test the merits of a new system of field artillery pro- posed by himself. The principal idea involved in this system was, to substitute a single gun of medium weight and calibre, capable of firing shot and shells, for the 8 and 12 pdr. guns and 24 and 32 pdr. howitzers, then in use. The calibre selected was the 12 pdr. The favorable results of all these experiments, and the simplicity of the system, led to the adoption of this, the Napoleon gun, as it is sometimes called, into the French service ; and others of similar principle were in- troduced into various European services, and also into our own. As this piece unites the properties of gun and howitzer, it is called canon-obusier, or gun-howitzer. 79. Recent improvement*. At no time since the dis- covery of gunpowder, have such important improve- ments been made in fire-arms, as within the past few years. These improvements may be summed up as fol- lows, viz. : — 1st. Improvement in the quality of cast iron, and the consequent increase in the calibre of sea-coast cannon. In 1820, the heaviest gun mounted on our sea-coast bat- teries, was the 24-pdr. ; at present, the heaviest is a 15-inch gun, carrying a shell weighing 420 lbs. with 50 lbs. of powder. 2d. The use of wrought iron as a ma- terial for fortress carriages, and for covering ships of war. 3d. The extensive introduction of shells in sea-coast de- fences and naval warfare ; and spherical case-shot into the field-service ; and, 4th. The successful application of the rifle principle to small arms and cannon. 8 114 CANNON. CONSTRUCTION. CONSTRUCTION, Ac, OF CANNON. 80. Definition. A cannon is a heavy machine, used to set projectiles in motion by means of gunpowder. Its general form is that of a tube closed at one end. 81. Clas§iflcation. All cannon may be classified, according to their nature, as guns, howitzers, and mor- tars ; and, according to the uses to which they are applied, as field, mountain, prairie, siege, and sea-coast cannon. The recent introduction of rifle-cannon into the military service, requires that a further distinction should be made, between rifled and smooth-bored can- non. How far this change will affect the distinction now made between guns and howitzers, remains to be determined by future experience. In treating of cannon, it is proposed, in the first place to discuss those parts and principles common to all ; and, in the second place, to consider the peculiar characteristics of each class and calibre. A. .Cascable. B. .First reinforce. C. .Sec'd reinforce. D.. Chase. E. .Swell of the muz- zle. F. .Trunnions. G. .Rimbases. Fig. 26. H. .Bore. 82. Womenciatnre.* The coscohle is that part of the gun in rear of the base of the breech ; it is com- posed generally of the following parts: the knob, the neck, the fillet, * This nomenclature refers more particularly to guns of the old pattern, large numbers of which will probably remain in service for some time to come. The most recent models are characterized by an entire absence of mouldings and orna- ments, and the elements, in most cases, are curved instead of right lines. The modifications which it is necessary to make to suit the present nomenclature to the new system, will readily suggest themselves to the mind cf the pupil. NOMENCLATURE. 115 The base of the breech is a frustum of a cone, or a spherical segment, in rear of the breech. The base-ring is a projecting band of metal adjoining the base of the breech, and connected with the body of the gun by a concave moulding. It serves as a point of support for the breech sight, and rests upon the head of the elevating screw. The ring is omitted in guns of recent model. The breech is the mass of solid metal behind the bottom of the bore, extending to the rear of the base-ring. The reinforce is the thickest part of the body of the piece, in front of the base-ring. If there be more than one reinforce, that which is next to the base-ring is called the first reinforce / the other, the second rein- force. The chase is the conical part of the piece in front of the reinforce. The astragal and fillets, in field guns, and the chase- ring in other pieces, are the mouldings at the front end of the chase. The neck is the smallest part of the piece, in front of the astragal or chase-ring. The swell of the muzzle is the largest part of the piece in front of the neck. It is terminated by the muzzle mouldings, which, in field and siege guns, con- sist of the lip and fillet. In sea-coast guns, and heavy howitzers and columbiads, there is no fillet. In field and siege howitzers, and in mortars, a muzzle band takes the place of the swell of the muzzle. The face of the piece is the terminating plane per- pendicular to the axis of the bore. The trunnions are cylinders, the axes of which are 116 CANNON. INTERIOR FORM. in a plane perpendicular to the axis of the bore, both axes being in the same plane. The rimbases are short cylinders, uniting the trun- nions with the body of the gun. The ends of the rim- bases, or the shoulders of the trunnions, are planes per- pendicular to the axis of the trunnions. The bore of the piece includes all that part bored out, viz.: the cylinder, the chamber (if there be one), and the conical or spherical surface connecting them. The muzzle, or mouth of the bore is chamfered, in order to prevent abrasion and facilitate loading. The lock-piece is a block of metal at the outer open- ing of the vent for the attachment of the lock. As friction-tubes are now used for firing cannon in the land service, this part is omitted. The natural line of sight is a line drawn, in a vertical plane through the axis of the piece, from the highest point of the base-ring to the highest point of the swell of the muzzle, or to the top of the sight if there be one. The natural angle of sight is the angle which the natural line of sight makes with the axis of the piece. The dispart is the difference of the semi-diameters of the base-ring and the swell of the muzzle, or muzzle- band. It is, therefore, the tangent of the natural angle of sight, to a radius equal to the distance from the rear of the base-ring to the highest point of the swell of the muzzle, the sight, or the front of the muzzle-band, as the case may be. INTERIOR FORM. 83. Division of parts. The interior of cannon may be divided into three distinct parts ; 1st, the vent, or THE VENT. . 117 channel which communicates fire to the charge ; 2d, the seat of ths charge, or chamber, if its diameter be differ- ent from the rest of the bore ; 3d, the cylinder, or that portion of the bore passed over by the projectile. 84. The vent. The size of the vent should be as small as possible, in order to diminish the escape of the gas, and the erosion* of the metal which results from it. All vents in -the United States' service are 0.2 inch in diameter. In bronze pieces which fire large charges of powder, the heat of the imiamed gases would be sufficient to melt the tin, and rapidly enlarge its diameter. For this reason, they are bushed by screwing in a perforated piece of pure wrought copper, called the vent-piece. See fig. 27. This arrangement al- lows the vent to be renewed when too much enlarged by continued use, or when closed with a spike. Position. The axis of the Fig. 27 vent is generally situated in a plane passing through the axis of the piece, and at right angles to the trunnions. Formerly it made an angle of 80° with the axis of the piece, measured from the rear, but in nearly all pieces of new model it is at right angles to this line. The first, or oblique direction, was given to insure the pricking of the car- tridge, in case it was not rammed completely home ; the perpendicular position is given to prevent the body of the friction-tube from being pulled out in firing. * It is stated that the wear, by the passage of the gas through the vent of the large 13-in. wrought gun lately tried in England, was so great as to require rebushing after every nine rounds. Field rifle-cannon with steel vent- pieces were found to require rebushing after every 350 rounds ; copper vent-pieces having been found to enlarge very slightly, have been adopted for all rifle guns. 118 CANNON. POSITION OF VENT. The interior orifice of the vent is placed at a distance from the bottom of the chamber eqnal to a fourth of its diameter, or at the junction of the sides of the cham- ber with the curve of the bottom. Experiment shows that this position of the vent is more favorable to the full development of the force of the charge than any other along its length. Many authors have attributed the injuries which .are observed to take place about the lodgment of the pro- jectile, to the position of the vent at the bottom of the bore, supposing that the evolution of the elastic gases begins at the upper portion of the charge, and that the projectile is consequently pressed down upon the lower side of the bore before it is set in motion. To remedy this, it was proposed to place the orifice at the centre of the bottom of the bore ; and to determine the merits of this proposition, special experiments were made at the artillery schools of Douai, Toulouse, and Strasbourg, on new guns of 24 and 16 lbs. calibre. The first gun had the ordinary, old-fashioned vent ; see fig. 27 (A) ; in the second the orifice of the vent was placed at the centre of the bottom, with its axis making an angle of 30° with that of the gun (i?) ; and the third had its orifice at the centre of the bottom, with its axis coincident with that of the gun ( C). The several pieces were fired under the same circum- stances, and the injuries noted with great care. It was found that the gun with the ordinary vent had only ex- perienced slight injuries, while the others became un- serviceable in a few rounds; as will be seen by an examination of the following table : LOSS. 119 Position of the vent. Depth of Lodgement. r Strasbourg 24-pdr. Gun. Toulouse 24-pdr. Guns. "'■ ^ Douai 16-pdr. Gun. Vent in the axisJ Vent inclined 30<»] Ordinary vent 37 points after J 40 shots. j 34 points after j 60 shots. ( 23 points after 6 sh. ( 25 " M 30 " -j 14£ " " 6" ( 33 " " 30 " ] 3 " " 30 " i 8 points aft. 6 sh. 17 " " 30 " 24 " " 60 " 14 " " 30 " 25 " « 90 " 3 " u 60 " 4 " " 90 " The most probable explanation of these results is this : In guns with the ordinary vent, the gas which is developed in the first moments of combustion, expands freely into the space between the top of the cartridge and bore ; it has therefore less tension when it passes over the ball, which will have been moved before all the charge is inflamed. In the two cases in which the orifice is situated at the centre of the bottom, the gas formed cannot develop itself in the space over the charge, but it expands into the interstices of the charge with a greater tension than it had in the first case, and thereby accelerates the inflammation of the charge. From this it follows, that the ball is not moved from its place quite so soon as in the first case, but it begins to move at an epoch more nearly approximating that of the maximum tension of the gas of the charge ; and the pressure, therefore, of the gas as it passes over the ball, will be greater ; which will account for the greater depth of the lodgment. 85. L-oss. Experiment also shows that the actual loss of force by the escape of gas through the vent, as com- pared to that of the entire charge, is inconsiderable, and may be neglected in practice. \ 120 CANNON. SEAT OF THE CHARGE. SEAT OF THE CHARGE. 86. Seat of the Charge. The form of that part of the bore of a fire-arm which contains the powder, will have an effect on the force of the charge, and the strength of the piece to resist it. The points to be considered as most likely to affect the force of the powder, are, the form of the surface, and its extent compared to the enclosed volume. In the first place, to obtain the full force of a charge, its form should be such that its inflammation will be nearly completed before the gas begins to escape through the windage, and the projectile is sensibly moved from its place — in other words, the length of the space occupied by the charge should be nearly equal to its diameter ; in the second place, as the tension depends much upon the heat evolved by the combustion, the absorbing sur- face should be a minimum compared to the volume. 87. Heavy charges. The charges with which solid projectiles are generally fired being greater than \ of their weight, the cartridge occupies a space, the length of which is greater than the diameter ; in cannon, there- fore, which fire solid projectiles, the form of the seat of the charge is simply the bore prolonged; this arrange- ment, when compared with the chamber, makes the absorbing surface of the metal a minimum, and reduces the length of the charge so that its inflammation will be as complete as possible, before the gas escapes and the projectile is moved. To give additional strength to the breech, and to prevent the angle formed by the plane of the bottom LIGHT CHARGES. 121 and sides of the bore from becoming a receptacle for dirt, and burning fragments of the cartridge-bag, it is rounded with the arc of a circle whose radius is one- fourth the diameter of the bore at this point. See fig. 27. Instead of being a plane bottom, it is sometimes made hemispherical, tangent to the surface of the bore. In all cannon of the most recent model, the bottom of the bore is a semi-ellipsoid. This is thought to fulfil the condition of strength more fully than the hemi- sphere. 88. L-igiit charges. When a light piece is used to throw a projectile of large diameter and great weight, the effect of the recoil can only be diminished by em- ploying a small charge of powder. If such a charge were made into a cartridge of a form to fit the bore, its length would be less than its diameter, and being ignited at the top, a considerable portion of the gas generated in the first instants of in- flammation, would pass through the windage, and a part of the force of the charge would be lost. To obviate this defect, to give the cartridge a more manageable form in loading, and to make the surface a minimum, as regards the volume, the diameter of this part of the bore is reduced so as to form a chamber. The shape of the chambers of fire-arms is either cylindrical, conical, or spherical. The effect of these different forms of chambers on the velocity of the projectile will be modified by the size of the charge and the length of the bore. Up to a charge of powder equal to \ of the weight of the projectile, and a length of bore equal to 9 or 10 calibres, experience shows that the presence of a chamber is ad- 122 CANNON. SEAT OF THE CHARGE. vantageous ; but beyond these, it possesses no advan- tages to compensate for its inconvenience. Cylindrical chamber. For very small charges of pow- der, and short lengths of bore, the cylindrical chamber gives bet- ter results than the conical cham- ber. This may be explained by the fact, that in this chamber the charge acts a longer time on the projectile, inasmuch as it acts on a smaller portion of its surface, and the grains of pow- der are therefore more completely consumed when the projectile leaves the piece. But for larger charges the conical chamber is found to answer best ; which may be seen from the following table taken from actual firing : Fig. 28. MORTARS. CHARGE. CYLINDRICAL CHAMBER. CONICAL CHAMBER. 10-inch. 1.10 lbs. 456 meters. 390 meters. u 1.65 " 790 " 695 t» 2.20 " 1060 " 969 " a 2.75 " 1290 . " 1297 M 7.00 " 2530 " u 7.90 " 2530 " 2750 " 8-inch. 0.50 " 325 " 210 u 0.60 " 775 " 540 u 1.30 " 1250 1308 " Note. — Supposed to have been fired at 45 ° elevation. Conical chambers. For the same capacity, the coni- cal chamber gives a shorter cartridge, and is therefore better suited to the rapid inflammation of a large charge of powder than the cylindrical chamber. It EFFECT ON STRENGTH. 123 Fig. 29. also presents less surface of, metal for the absorption of heat. The particular kind of chamber represented in the di- agram is called a Gomer cham- ber, after its inventor. Its prin- cipal advantages are, that of distributing the force of the charge over a large portion of the surface of the projectile, thereby rendering it less liable to break, if it be hollow; and that of destroying the windage when the projectile is driven down to its proper place. Spherical chamber. This chamber was formerly used in mortars, but, owing to the inconveniences which attend its construction and use, and its liability to deterioration, it is now entirely abandoned. Experiment shows that when a chamber of this kind is entirely filled with pow- der, it gives a greater initial ve- locity to the projectile than any other ; and this, probably, for the reasons that its form is better suited to the rapid inflammation of the charge ; that it has the least surface compared to its capacity ; that sensible motion does not take place so soon; and that the escape of gas by windage is comparatively small. Other forms of chambers, such as the parabolical, hyperbolical, w hh?h D represents the diameter of a solid cast-iron shot suited to the bore; O the proof charge ; and P the real weight of the projectile. For cast-iron cannon, E should be multiplied by the coeffi cient 1.17. In general terms, the thickness of a bronze gun, at the seat of the charge, is a little less, and of a cast-iron gun a little greater, than the diameter of the bore. These dimensions exceed those determined by calculation, but are necessary to enable the piece to resist the shocks of the projectile, &c. Second reinforce. This portion of the piece connects the first reinforce with the chase. It is made considera- bly thicker than necessary to resist the pressure of the powder, in order to serve as a proper point of support for the trunnions, and to compensate for certain defects of metal liable to occur in the vicinity of the trunnions of all cast cannon, arising from the crystalline arrange- ment, and unequal cooling of the different parts. Chase. From the extremity of the second reinforce, cannon taper more or less rapidly to the vicinity of the DIVISION OF THE EXTERIOR. 159 muzzle. This part is called the chase, and constitutes the largest portion of the piece in front of the trunnions. The principal injury to which the chase is liable, arises from the striking of the ball against the side of the bore ; and the thickness of metal should be sufficient to resist it. In pieces of soft iron, or bronze, the indenta- tions thus made by the projectile may increase to the extent of bursting the piece ; but in cast-iron cannon, where they never exceed 0.02 inch, the taper of the chase can be made more rapid, or, with the same weight of metal, longer than in bronze guns. An example of this is seen in the Dahlgren guns of the naval service. For many years, cast-iron cannon have been made in Sweden of a form nearly approaching that called for by the actual pressure of the powder at different points of the bore. See fig. 36. V — = Fig. 36. In the construction of bronze guns, the thickness of the metal at the neck, or thinnest part, is about equal to -f' T of that at the first reinforce, or T 5 T JE, given in the empirical formula on p. 158. Sivell of the muzzle. Inasmuch as the metal situated immediately at the muzzle, is supported, only in rear, it has been usually considered necessary to increase its thickness, to enable it to resist the action of the projec- tile at this point. This enlargement is called the swell of the muzzle. At present, the practice is to reduce the 160 CANNON. EXTERIOR FORM. diameter of the swell of tlie muzzle of all cannon, and particularly that of heavy iron cannon, designed to be fired through embrasures. By a late order of the war department, the swell is to be hereafter omitted from all sea-coast cannon. In field and siege howitzers, the muzzle band takes the place of the swell. All projections on the surface of cannon, not abso- lutely necessary for the service of the piece, are omitted in cannon of late models. This omission simplifies their construction, renders them easier to clean, and obviates certain injurious strains that would otherwise arise from unequal cooling in fabrication. 119. Trunnions. The trunnions are two cylin- drical arms attached to the sides of a cannon, for the purpose of supporting it on its carriage. They are placed on opposite sides of the piece, with their axes in the same line, and at right angles to its axis. Size. The size of the trunnions depends on the recoil of the piece, and the material of which they are made. The resistance which a cylinder opposes to rupture, is proportional to the cube of its diameter, or the weight of a sphere of the same diameter. On the supposition that the strain is proportional to the weight of the charge, it is laid down as a rule that the diameter of the trunnions of guns shall be equal to the diameter of the bore, and the diameter of the trunnions of how- itzers shall be equal to the diameter of their cham- bers — the recoil being less than for guns of the same calibre. Position. The position of the trunnions, with refer- ence to the axis of the bore, influences the amount of TKUNNIONS. 161 recoil, tlie endurance of the carriage, and the extent of the vertical field of fire. Fig. 37. By reference to the figure, it will be seen that if the axis of the trunnions be placed below the axis of the piece, the resultant of the force of the charge, which acts against the bottom of the bore, will act to turn the piece around its trunnion, and cause the breech to press upon the head of the elevating screw, with a force pro- portioned to the length of the lever arm, or distance be- tween the axes. The effect will be to press the trail on the ground and check the recoil — thereby throwing an additional strain on the carriage. If the trunnions be placed above the axis of the piece, rotation will take place in the opposite direction, and the effects of the discharge on the carriage and re- coil will be reversed. By placing the two axes in the same plane, the force of the charge will be communi- cated directly to the trunnions, without increasing or diminishing its effect on the carriage, or recoil; this position is given to them in all the cannon of the United States service. It is evident that the space between the lower side of the piece and the carriage, limits the amount of ele- vation or depression that can be given to the piece, and that the greatest angle of fire can be attained when the axis of the trunnions is situated below the axis of the piece. 120. Preponderance. The unequal distribution of 11 162 CANNON. EXTERIOR FORM. the weight of a piece of artillery, with reference to the axis of the trunnions, is called the preponderance, the object of which is to give it stability in transportation and firing, by producing a pressure on a third point of support, generally the head of the elevating screw. In all guns and howitzers, the centre of gravity is situated in rear of the trunnions, and in all mortars it is situated in front of them* Formerly it was measured by the weight which it was necessary to apply to the plane of the muzzle to balance the piece, when suspended freely at the axis of the trunnions ; but in pieces of late model it is con- sidered equal to the pressure exerted on the head of the elevating screw, or a third point of support. The position of the trunnions, with reference to the length of the piece, is an important consideration in siege and sea-coast cannon, for by placing them further to the rear, the piece can be elevated and depressed more rapidly, and its penetration into the embrasure is increased. 121. Rimba§es. Rimbases are two larger cylinders (b £), placed concentrically around the trunnions, for the purpose of strengthening them at their junc- tion with the piece, and by form- ing shoulders, to prevent the piece from moving sideways in the trun- Fig ' 38 ' nion-beds. * The mortars and eolumbiads modelled in 1861 have no preponderance, as the axis of the trunnions intersects the axis of the piece at the centre of gravity. Cap- tain Rodman has shown that, contrary to the generally-received opinion, cannon constructed in this way are found not to sensibly change their position before the projectile leaves the bore — and that the accuracy of the fire is not affected. TRUNNIONS. 163 122. Knob of the cascabie. This is a projection affixed to the breech of a cannon, for the purpose of attaching the sling in mounting and dismounting it from its car- riage. Its axis is that of the bore prolonged. 123. Handier These are two projections (c c,fig. 38,) placed over the centre of gravity of certain bronze field- pieces, for manoeuvring purposes. In the heavy sea-coast mortars, the handle is replaced by a clevis attached to a projection cast on the piece. 124. Portion of the centre of gravity. Having deter- mined the precise form of each part of a cannon, it be- comes necessary to place the trunnions so that the breech shall exert a given pressure on the head of the elevating screw ; or in other words, so that the piece shall have a certain preponderance. In making the computation, it will be necessary to know the position of the centre of gravity of the piece ; and this may be determined from the principle, that the sum of the moments of the weight of the several parts is equal to the moment of the weight of the entire piece. For convenience, let the plane of reference be taken tangent to the knob of the cascabie, and at right angles to its axis. Let a be the volume of the breech and cascabie, b u " 1st reinforce, o " " 2d " d u " trunnions and rimbases, e tt " chase, f u swell of muzzle and mouldings, g " bore, including the chamber, 164 CANNON. EXTERIOR FORM. and a' , b\ mva sin (ISO — a— e)— Wp With this relation we can discuss, by giving different values to 0, «, a, andj9, the effect of the angle of fire, length of trail, position of trunnions, and centre of gravity, on the stability of the carriage, or the resistance which it offers to overturning by the force of the charge acting at the centre of the trunnions. LIMBER. 190. Object. Thus far a gun-carriage has been con- sidered only in relation to the fire of the piece, or as a ttvo- wheel carriage. To suit it to the easy and rapid transportation of its load, it must be converted into a four- wheel carriage, which is done by attaching it to an- other two- wheel carriage called a limber. 191. Construction. The field-limber is composed (see fig. 58), of an axle- tree (1), a fork (2), two hounds (3 3), a splinter- bar (4), two foot-boards (5 5), a pole (6), a pintle- hook and key (7 ), twojwfe- yokes(8),an&apole-pad(9). Fig. 58. •- CONSTRUCTION. 231 A side view of this limber is also shown in fig. 59, together with the manner of attaching the rear carriage to the pintle-hook. The axle-tree. The limber axle-tree is made of iron, imbedded in a body of wood, as in the case of the gun- carriage. The fork. The fork constitutes the middle portion of the limber, and is the portion to which the pole is attached. It is formed of a single piece of wood, one end of which is mortised into the axle-body, and secured by the pintle-hook bolts, and the other is cut into the shape of a fork, to receive the tenon of the pole. The hounds. The hounds are two wooden rails which are bolted to the axle-body and splinter-bar. They serve to support the ends of the limber-chest and foot- boards, and also to transmit the draught of the horses to the axle-tree. The chest is secured by a stay-plate, situated at the bottom of the cut in the fork, and two stay-pins, which pass through holes near the rear ends of the hounds. The splinter-bar. The splinter-bar is a piece of wood placed cross- wise with the pole, and is firmly secured to the fork and hounds. It has four hooks, to which the traces of the wheel horses are attached. The pole. The pole, or tongue, is employed to regu- late the motion, and give direction to the carriage. The point of attachment of the rear carriage being near the axle-tree, and there being no sweep-bar, the weight of the pole is mostly supported by the collars of the rear horses; it should therefore be made of strong, light wood — ash is generally used for this purpose. As the pole is liable to be broken in service, the 232 ARTILLERY CARRIAGES. LIMBER. method of attaching it to the fork should be such that the fragments can be promptly removed, and a new pole inserted. The foot-hoards. The foot-boards are secured to the fork and hounds in a proper position for the feet of the cannoniers to rest upon, while riding upon the limber- chest. The pintle-hook. The pintle-hook is a stout iron hook firmly fastened to the rear of the axle-tree, for the purpose of attaching the rear carriage. This mode of, attachment is simple, strong, and flexible — qualities which are essential to rapid movements and great en- durance. The point of the hook is perforated with a hole for the pintle-key, which prevents the carriages from separating while in motion. In the old system of field-carriages, the operation of limbering and unlimbering was so difficult, that a rope, called a "prolonge," was used to connect the gun-car- riage and limber, in action. This implement is still retained, but the same necessity does not exist for using it. 192. Turning. All field-carriages should admit of being turned in the shortest possible space. This de- pends upon the size of the front wheels, the distance between the front and rear axle-trees, the position of the pintle, and the thickness of the stock at the point where the front wheel strikes it. Notwithstanding that the front wheels are made higher in the present system of field-carriages than the Gribeauval system, which pre- ceded it, the carriages of the former have greater facility of turning, in consequence of the diminished thickness of the stock. LOCKING WHEELS. 233 193. Track. By track is understood the distance be- tween the furrows formed by the wheels in the ground. It is important that the track should be the same for all carriages likely to travel the same road, in order that the wheels of one carriage may follow in the furrows formed by those of its predecessor, and thereby prevent a loss of tractile force. The track of artillery carriages is 5 feet, and the extreme length of the axle-tree is 6^- feet for field, and 6} feet for siege-carriages. 194. i,oad. As the forward wheels "of a carriage form the ruts, they should support a smaller portion of the load than the rear wheels: in field-carriag*es, the pro- portion is as two to three. 195. Length of stock. The length of the stock deter- mines the distance between the front and rear wheels. The longer this distance is, the greater will be the space required to turn the carriage in, and the greater will be the effort necessary to pull the carriage over a sharp elevation of the ground. 196. Wheels. All wheels of an artillery carriage should be of the same height, to permit of interchange, and to make the line of traction parallel to the ground. 197. Locking Wheels, The work of holding back a carriage, on descending ground, devolves on the pole- horses. When the descent is very steep, and the load large, they are relieved of a portion of this work by attaching a chain to one of the rear wheels, in such a manner as to prevent it from turning, and thereby changing the friction on the axle-arm to friction on the ground. In field-carriages, one end of the locking-chain is secured to the stock by the assembling-bolt, and the other is passed around the felloe, and secured to itself 234 ARTILLERY CARRIAGES. FIELD CARRIAGES. by a key. In siege-carriages, where the load is much heavier, a shoe is attached to the chain, upon which the wheel rides. This prevents the tire from being worn and the wheel from being strained ; at the same time, the operation of locking and unlocking can be per- formed without stopping the carriages. FIELD-CARRIAGES. 198. Kind§. The carriages pertaining to the field service, are the gun-carriage, the caisson, the travelling- forge, and the battery -ivagon. The same limber is used for all the field-carriages, with the exception of the in- terior arrangement of the chest, which is adapted to the kind of the carriage to which the limber is attached. 199. Gun-carriage§. Field-carriages are characterized by great lightness, strength, and mobility. They are, The 6-pdr. gun and 1 2-pdr. howitzer carriage. The 12-pdr. gun (light) and the 1\-pdr. howitzer car. riage. The 12-pdr. gun (heavy) and the 32-pdr. howitzer carriage* These carriages are of similar construction, the only difference being in the size and strength of the several parts. The first is mounted on light, or No. 1 wheels, and the second and third on No. 2, or heavy wheels. Attached to each carriage are the following named im- plements, viz., two rammers and sponges, two trail- handspikes, one worm, one sponge-bucket, one tar-bucket, one watering-bucket. * The 10-pdr. Parrott and the 3-in. rifle guns are mounted on the 6-pdr. carriage, and the 20-pdr. Parrott rifle-gun is mounted on the 12-pdr. (heavy) carriage. caisson. 235 200. €ais§ou. The caisson is used to transport ammu- nition ; and in light field-batteries, there is one caisson to each piece, in heavy batteries there are two. The am- munition is contained in three chests — two mounted on the body, and one on the limber. The number of rounds for each chest varies with the calibre of the piece, as follows, viz. : 6-pdr. gun, and 3-inch rifle-gun, . 50 12-pdr. gun, .... 32 12-pdr. howitzer, . . - .39 24-pdr. howitzer, . . . . 23 32-pdr. howitzer, . - . .15 The whole number of rounds for each piece may be ascertained by multiplying the above numbers by four. The caisson is composed of a body, and a limber. See fig. 59. The body is composed of one middle and two side rails (1), one stock (2), and one axle-tree (3). It Fig 59. carries two ammunition-chests (4, 5), a spare wheel (6), which fits upon an iron axle-arm attached to the rear end of the middle rail, one spare pole (7), fastened to the under side of the stock, and a spare handspike. The spare articles are needed to replace broken parts. The caisson also carries a felling-axe, shovel, and pick- axe, to remove obstructions, repair roads, &c, a tarpau- 236 ARTILLERY CARRIAGES. FIELD CARRIAGES. lin strapped on to the limber-chest, a tar-bucket, and a watering-bucket. 201. Travelling-forge. The travel ling-forge is a com- plete blacksmith's establishment, which accompanies the battery for the purposes of making repairs and shoe- ing horses. It consists of a body, upon which is con- structed the bellows-house, &c, and the limber, which supports the stock, in transportation. The body (see fig. 60) is composed of two rails (1), a stock (2), and an axle-tree (3). The bellows-house is di- vided into the bel- lows-room (4), and " Fig. 60. the iron-room (5). Attached to the back of the house is the coal-box (6), and in front of it is the fire-place (7). From the upper and front part of the bellows, an air- pipe (8) proceeds in a downward direction to the air- box, which is placed behind the fire-place. The vise (9) is permanently attached to the stock, and the anvil, when in use, is supported on a stone or log of wood, and when transported is carried on the hearth of the fire-place. The remaining tools are carried in the lim- ber-chest. When in working order, the point of the stock is supported by a prop (10). 202. Battery- wagon. The battery- wagon is employed to transport the tools and materials for repairs. Among the tools are those for carriage-makers, saddlers, armor- ers, and laboratorians' use, scythes and sickles for cut- ting forage and spare implements for the service of the piece. MOUNTAIN CARRIAGE. 237 The body (1) of the battery-wagon (see fig. 61) is a large rectangular box, covered with a roof of painted Fig. 61. canvas ; and to the back part is attached a rack (2) for carrying forage. The bottom of the body is formed of one middle and two side rails, resting on a stock and axle-tree, as in the travelling-forge. The tools and materials of the battery-wagon are carefully packed in the manner prescribed by the Ord- nance Manual, in order that no difficulty may be expe- rienced in finding a particular article when wanted. The smaller articles are carried in boxes properly let- tered and numbered. The travelling-forge and battery-wagon are not con- fined to the service of field-batteries, but are used with siege and sea-coast carriages, as occasion may require. MOUNTAIN-CAKRIAGE. 203. Requirements, &c. The mountain-howitzer car- riage should be light enough to be carried on the back of a pack animal, and the axle-tree should be short enough to permit it to pass through very narrow de- files. It differs in construction from the field-carriage, 238 ARTILLERY CARRIAGES. PRAIRIE. inasmuch as the stock and cheeks (1) (fig. 62) are formed of the same piece, by hollowing out the head of the stock. The wheels are thirty- 's- 62 - eight inches in diameter, and the axle-tree is made of wood, the arms being protected from wear by skeans, or strips of iron. The distance between the wheels is about equal to their diameter. It is arranged for draught by attaching a pair of shafts to the trail. The pack-saddle and its harness are constructed to carry severally, the howitzer and shafts, the carriage, or two ammunition chests, or it enables an animal to draw the carriage, with the howit- zer mounted upon it. A portable forge accompanies each mountain battery, and is so constructed that it can be enclosed in two chests, and carried, with a bag of coal, upon the pack- saddle. PRAIRIE-CARRIAGE. 204. Description, &c. The prairie-carriage is designed to carry the mountain-howitzer, and is similar to the mountain-carriage in the form and combination of its parts ; but being exclusively intended for draught, the axle-tree is made of iron, the wheels are made higher, and the distance between them greater than in the mountain-carriage. It has a limber, and is drawn by two horses abreast, as in field-carriages. The ammuni- tion is packed in mountain ammunition chests, two of which are carried on the limber, and the remainder in a covered cart, of peculiar construction, or packed on animals, as in the mountain service. SIEGE-CARRIAGES. 239 SIEGE-CAKRIAGES. 205. Kiiid§ of. The siege-carriages are The 24rpdr. gun and 8-inch howitzer carriage. The 18 -pdr. gun-carriage. The 12-pdr. The mortar-wagon. The limber. The mortar-bed. 206. Gun-carriage. The construction of the siege- gun carriage is similar, in most -of its details, to the field- gun carriage. It differs, however, in the greater strength of the parts, and in the mode of attaching to the lim- ber, and by the absence of the parts used for carrying the implements. The position of the trunnion-beds is such that when the carriage is limbered up, the weight of the piece is thrown too much on the rear wheels for convenience of transportation; another set of trunnions is therefore Fig. 63. formed at the rear end of the cheeks, by enlarging the heads of the cheek-bolts, and the piece is shifted to them in transportation. They are called the " travelling trun- 240 ARTILLERY CARRIAGES. SIEGE-CARRIAGES. nions? See (1) fig. 63. The breech of the piece rests in a groove formed in a block of wood, called the " bol- ster 11 (2) ; and the elevating screw is disposed of by reversing it in its nnt. To prevent it from unscrewing by the motion of the carriage, one of the handles is slipped through a leather loop attached to the under side of the stock. 207. Limber. The same kind of limber is used for all siege-carriages. It is composed of a fork (4), the pole (5), the axle-tree (6), the pintle (7), the hounds (8), the splinter-bar (9), and the friction-circle (10), one end of which is only represented in the figure. The fork constitutes the main part of this carnage, and to it are attached the pintle, the pole, the splinter- bar, the axle-tree, and the friction-circle. As this carriage is not subjected to the shock of firing, the axle-tree is not imbedded in wood to give it stiffness, as in the gun-carriage. The pintle is placed far enough in rear of the centre of the axle-tree to enable the weight of the stock of the gun-carriage to act as a counterpoise to the pole, and give it steadiness when the carriage is in motion. The friction-circle acts as a sweep-bar for the shoe of the trail to rest upon when the limber turns around its pintle. The attachment of the two carriages is secured by a lashing chain and hook. 208. Mortar- wagon. The mortar- wagon is employed to transport siege projectiles, mortars and their beds, and spare guns. It is composed of a limber and body. The body con- sists of two middle-rails, united so as to form the stock, and two side-rails. These pieces rest upon the axle-tree, PLATFORM. 241 and are strongly connected together by cross pieces of wood and straps of iron. At the rear of the body is placed a windlass, which aids in mounting guns and mortars. Stakes are placed around the sides of the body, to sustain the side and end boards which are used in transporting projectiles. 209. Mortar-bed. The lightness of the mortar, and the high angle under which it is fired, render it unsafe to be fired from a carriage ; it is, therefore, mounted on a bed, which rests directly on a platform. The siege mortar-bed is made of a single piece of cast iron, of a form shown in fig. 64* The different parts are, the cheeks (1), and the front and rear transoms (2, 3), shown in Fi g- 64 - broken lines. To the front transom is attached a wooden bolster, upon which rests the quoin, or wedge, used in sustaining the piece at the proper elevation. From the outer sides of the cheeks project four pieces, called manoeuvring bolts, to which handspikes are applied in moving the bed, when point- ing the piece. 210. Platform. To insure accuracy of fire with heavy guns and mortars, it is absolutely necessary that their carriages and beds should rest upon solid and sub- stantial platforms. The platforms for siege-pieces, being transported with an army, should have the greatest lightness, compatible with strength to endure the shocks of long-continued * The beds for all the new-pattern mortars are made of wrought iron — boiler plate and rolled bars fastened together by screw-bolts. 16 242 ARTILLERY CARRIAGES. — SIEGE CARRIAGES. firing. They are composed of a certain number of pieces of wood ; and in order that these pieces may be carried on the backs of soldiers from the depot to the battery, the weight of the heaviest piece should not exceed fifty pounds. Siege-platforms consist of sleepers (1), (fig. 65), and deck-plank (2). The general direction of the sleepers is parallel to the axis of the piece, and the deck-plank at right angles to it; this disposition of the parts offers the greatest resistance to the recoil of the carriage. The deck-planks are fastened together at their edges by dowels ; the outer Fig. 65 planks are secured by iron eye-pins, one at each end of a sleeper. The platform is secured in its place by driving stakes around the edges. There are two principal platforms for the siege-service, viz., the grim-platform, and the rawtor-platform. The former is composed of twelve sleepers and thirty-six deck-planks; the mortar-platform of six sleepers and eighteen deck-planks. A simple and strong mortar-platform, called the rail- platform may be used where trees or timber can be easily procured. This is composed of three sleepers and two rails, secured by driving stakes at the angles and at the rear ends of the rails. The rails are placed at the proper distance apart to support the cheeks of the bed. SEA-COAST CAEEIAGES. 243 SEA-COAST CARRIAGES. 211. cia§sification. Sea-coast carriages are divided into barbette, casemate, and flank-defence carriages, de- pending upon the part of a work in which they are mounted. 212. Material. Heretofore, nearly all sea-coast car- riages were made of wood ; but in consequence of the great difficulty of preserving this material from decay, especially when exposed to the dampness of casemates, it has been determined to replace it by wrought-iron ; and strong, cheap, and manageable carriages have been devised and tested for this service. The principal feature in the construction of the new carriages, is a peculiar combination of boiler-plate and rolled beams, which gives, with requisite lightness, great strength and stiffness to the important parts. 213. Gun-carriage. All sea-coast carriages are com- posed of two principal parts, viz., the gun-carriage (1), and the chassis (2), (fig. 66). \ Fig. 66. Gun-carriage. The purpose of the gun-carriage being to support the piece, it should be so constructed that the piece can be elevated or depressed, in aiming ; and 244 ARTILLERY CARRIAGES. SEA-COAST CARRIAGES. run into and out of battery, in firing. The term " in battery," as applied to sea-coast guns, refers to the posi- tion which the piece occupies when it is ready to be* fired — in casemate pieces the muzzle must be in the throat of the embrasure, and in barbette-pieces, directly Over the superior slope of the parapet. The gun-carriage is composed of two cheeks, held to- gether by iron straps, called transoms. Each cheek is formed of a piece of boiler-plate, cut to a triangular shape, and stiffened by ribs, made by bolt- ing trough-beams to the inner sides of the cheeks. Three trough-beams are placed on each cheek, in such positions as will best resist the strains imposed on it. These are shown by the broken lines of the figure. The form of the transom-straps is shown at (3) ; the ends, which are bent at right angles to the body of the strap, are pierced with holes for the screw-bolts, which secure them to the cheeks. Trunnion-plates are placed on the top of the cheeks, for the trunnions to rest in ; and the bottom of each cheek rests upon a plate, called the shoe. The move- ment of the carriage to and from battery, is regulated by a pair of eccentric manosuv ring-wheels (4), which are placed underneath, and a little in front of the centre of the trunnions. When it becomes necessary to check the recoil of the gun-carriage, the wheels are thrown out of gear by means of a handspike, and the forward part of the car- riage moves on sliding-friction ; when it becomes neces- sary to move it to battery, the wheels are thrown into gear, and the carriage moves on rolling-friction. Elevating-screw. The elevating-screws of sea-coast SEA-COAST CARRIAGES. 245 carriages are of two kinds. One is worked by a geared nut, which is made to revolve by a bevelled spur-wheel, attached to one end of a shaft at right angles to the cheek. The other end of the shaft projects from the right side of the carriage, and is armed with a handle having four branches (5). This screw is used for low angles of elevation. In pieces without preponderance, a simple handspike and fulcrum are all that is required to elevate and depress with facility. Elevating-screws are supported by iron trough-beams, the ends of which are fastened to the cheeks by screw-bolts. Elevating -arc. The elevating-arc (8) is made of brass, and attached to the upper edge of the right cheek by a joint, which allows it to be folded down when not in use. It is graduated, by means of a mark on the base- ring, and is employed to measure the elevation of the piece. It may be also used for giving direction to the piece by sighting along its inner surface and the ex- tremity of the rimbase. Chassis. The chassis is the movable railway along which the gun-carriage moves to and from battery. It is composed of two long i shaped wrought-iron rafo fastened together by transom-straps, as in the gun- carriage. To retard the recoil of the piece when fired, and to facilitate its motion to battery, the rails are in- clined from the front to the rear, at an angle of 1 upon 20. To permit the chassis to be moved horizontally, and thereby to give the proper direction to the piece in aiming, it is supported on traverse-wheels (6, 6), which roll upon circular plates of iron, fastened to the floor of the battery, called traverse-circles. 246 ARTILLERY CARRIAGES. SEA-COAST CARRIAGES. The motion of the gun-carriage is checked, in front and rear, by pieces of iron, riveted to the top of the rails, called hurters and counter-liurters (7, 7) ; and it is prevented from slipping off sidewise, by pieces, called guides, bolted to the inner sides of the cheeks. Pintle, The pintle is the fixed centre around which the chassis is traversed. It is formed of a stout piece of iron, strongly secured to masonry, if the battery be a fixed one, or cross-pieces of timber bolted to a platform of timber which is imbedded in the ground, if it be of a temporary nature. In casemate batteries, the pintle is placed immediately under the throat of the embrasure, and the chassis is connected with it by a stout strap of iron, called the tongue. The muzzle of the piece, when in battery, is situated in the throat of the embrasure — a position which, taken in connection with that of the pintle, gives the greatest horizontal field of fire. In the ordinary barbette-carriage, the pintle is gener- ally placed under the centre of the front transom of the chassis; but in the columbiad-carriage, it is placed un- der the centre of the middle transom. In the first case tjje horizontal field of fire is limited to 150°; and the front traverse-wheels are dispensed with. In the co- lumbiad-carriage, the piece sweeps the entire horizon, and the chassis is supported at a point where it is sub- jected to a very great strain when the piece is fired as a mortar. The barbette-pintle can be made movable by attach- ing it to a frame running upon a railway, situated along the foot of the parapet. This affords the means of con- centrating an increased number of pieces upon the front of attack, or of protecting them from an enfilading fire, SEA-COAST CARRIAGES. 247 by removing them under the shelter of traverses. This plan is employed in the Austrian service. Prop, c&c. Props are attached to the rear extremi- ties of the columbiad-barbette chassis-rails, to prevent the chassis from being tipped up when the gun-carriage recoils with violence against the counter-hurters ; and hooks are placed along the web of the chassis-rail for the attachment of the handspikes when they are not in use. 214. Kinds. The different sea-coast carriages are Barbette. One for 15-inch columbiad. " 10-inch " " 8-inch " 8-inch howitzer, 42-pdr. and 32-pdr. guns. " 24-pdr. and all smaller guns. Casemate. One for 8-inch columbiad and 42-pdr. gun. " 32-pdr. gun and 24-pdr. gun. " 24-pdr. howitzer — flank defence. The carriage for one calibre can be altered to fit that of another, by changing the trunnion-plates and transom- straps. The parts of all the carriages, as far as practica- ble, are made to interchange with each other.* * By a late arrangement, the 8 and 1 0-in. columbiads can be mounted on front pintle barbette-carriages, and the 10-in. columbiad is mounted in casemate batteries. ^/ /^ ^<^^y 248 MACHINES AND IMPLEMENTS. CHAPTER V. MACHINES AND IMPLEMENTS 215. Object. Artillery machines are employed to mount and dismount cannon from their carriages, and to transport artillery material from one part of a work to another. They comprise the gin, the ding-cart, the casemate-truck, the hand-cart, the lifting-jack, and the lever-jack. 216. Gin. A gin is a tripod formed of ash or spruce poles. Two of the poles are joined together by two cross-bars of wood or iron (1, 2), see fig. 67, and are called the legs. The third is called the pry -pole, and is used in elevating the gin to its proper position. The hoisting apparatus is supported by a clevis which is secured by the bolt which unites the legs and pry-poles ; it consists of two sets of iron blocks, through which is rove a rope called Fig. 67. the fall, and which is wound around the windlass (3). The windlass is worked by two handspikes which fit into brass sockets, one at each extremity of the wind- lass ; the operation of the handspikes is made continuous by the action of the pawl of the socket on the ratchet of the windlass. The piece to be raised is attached to the hook of the lower block, by a stout rope called a SLING CART. 249 sling, which passes around the knob of the cascable and a piece of wood projecting from the muzzle. Kinds. There are three kinds of gins, viz. : the gar- rison gin, the casemate gin, and the field and siege gin. The last mainly differs from the others in the smaller size and lesser strength of its parts ; the casemate gin is not so tall as the garrison gin, on account of the low- ness of the casemate roofs under which it is used ; in all other respects the two are alike. 217. siing-cart. A sling-cart is composed of two wheels of large diameter, an axle-tree, a tongue, and the hoisting apparatus / and is intended to transport cannon and their carriages. There are two kinds, viz. : the wooden sling-cart and the iron sling-cart. The wheels of the wooden sling-cart are eight feet in diameter, (figure 68.) The hoisting-apparatus is a screw (1), which passes vertically through the wooden axle- tree, and is worked by a nut Fig. 68. with long handles (2). The lower part of this screw is terminated with two hooks, to which are fastened the chains and trunnion-rings (3). The breech of the piece is sustained by the cascable chain (4). A piece may be also raised by surrounding it with a chain, fastening the chain to the hooks (5, 5), and depressing the tongue, which acts as the long arm of the lever. Iron sling-cart. The iron sling-cart is smaller than the wooden one, and is employed to transport cannon in siege-trenches, ) into it, in such manner that the inner rim is pressed against the end of the barrel at the instant of discharge, the escape of the gas is prevented. This piece is loaded by depressing the lever which withdraws the slide and opens the breech. The car- tridge is inserted, the bullet penetrates as far as the shoulder of the chamber, leaving a portion of the paper and powder projecting; this is cut off by the upward motion of the slide, and the powder is exposed to the action of the cap. A portion of the chamber, surround- ing the bullet, is enlarged in diameter (cc) y in order that the accumulation of dirt may not prevent the bullet from being pushed forward to its place, and thereby increasing the amount of powder cut off by the slide. 1 ■ / * I ... c d : \ ■:■ ■ ~i h J 2 Fig. 98. 276. Maynard'§ system. The chamber (a), (see fig. 98) of the Maynard carbine, is fixed. The barrel is hinged to the stock, and, by means of a lever, which also serves as the trigger-guard, the breech is raised to receive the cartridge, and lowered to close it. The car- tridge-case (ine. The pistol-carbine is a muzzle- loading pistol, with a false butt, which permits it to be used either as a pistol or carbine. It is particularly suited to the service of light artillery. Length of barrel, . . . 12.00 in. Weight complete, .... 5.00 lbs. Weight of projectile, . . . 450.00 grs. Weight of powder, . . . 40.00 grs. Initial velocity, .... 603.00 feet. 299. Coit'§ pi§toi. Colt's pistol is constructed on the revolving principle, and is composed of a cylinder (con- taining six charges), a rifled barrel, and a handle or stock. By cocking the hammer, the cylinder is made to rotate around a spindle in such a way that a new charge is presented to the breech of the barrel every time the piece is cocked. The principal defects of revolving pis- tols are, that more than one charge is liable to go off at a time ; that the fragments of the cap are liable to clog the cylinder ; and that there is an escape of gas through the opening in front of the cylinder. The advantage is rapidity of fire for six discharges. Colt's pistol is considered a very reliable weapon, par- ticularly in partisan warfare. Length of bore (navy), . . . 9.00 in. Weight of do 2.40 lbs. Weight of projectile, . . 125.00 grs. SPORTING RIFLE. 319 Weight of powder, . . . 14.00 grs. Initial velocity, . . . 760.00 feet. 300. Sporting rifle. American sporting rifles have long enjoyed a reputation for extreme accuracy of fire. This has been attained by introducing into their con- struction many refinements which, though ingenious and effective, are incompatible with the strength, safety, and rapidity of fire of a military arm. To give stiff- ness and steadiness to the barrel, it is made very heavy in proportion to the charge ; to prevent the bullet from being disfigured by a heavy proportional charge of powder, the calibre is made as small as the range will permit ; to render friction in the bore uniform, the sur- face is carefully wiped after each discharge ; to prevent disfiguring the corners of the muzzle, the bullet is in- serted into the bore through a false muzzle ; to centre the bullet properly in the bore, it is started with an in- strument called the straight starter; and, finally, the piece is aimed with a globe, or telescopic sight, and fired with a hair-trigger. The dimensions, &c, of a James's rifle, of this class, belonging to the museum of the Academy, are as fol- lows, viz.: Length of barrel, .... 32.50 in. Weight of do 16.50 lbs. Calibre, 00.45 in. Weight of bullet, . . - 217.00 grs. Weight of powder, .... 100.00 grs. Initial velocity, .... 1,900.00 feet. 320 MANUFACTURE OF SMALL- ARMS. MANUFACTURE OF SMALL-ARMS. 301. Where made. With the exception of swords and patent-arms, all small-arms for the United States army and militia are made at the national armories, situated at Springfield, Mass., and Harper's Ferry,* Ya. These armories are under the general charge of the chief of ordnance, who, by the authority of the war department, furnishes the models, and prescribes the kind and quantity of work to be done ; the operations are conducted by civilians. 302. How made. A principal requisite, in the manu- facture of small-arms, is, that similar parts of the same kind of arm, or model, shall be capable of interchange. This demands a higher degree of accuracy in the work- manship than can be attained by hand-labor, without great cost, and the consequence is, that machinery is now very generally employed in this branch of man- ufacture. 303. Operation**. The principal operations of manu- facturing arms are welding, swaging, boring, turning, drilling, tapping, milling 1 cutting and filing, grinding, case-hardening, tempering, Midi polishing. Welding and swaging are performed by blacksmiths ; the other oper- ations, by armorers or finishers. 304. Welding. Welding is the process of uniting certain metals by means of heat and pressure. To bring the heated substances into perfect contact, the joining surfaces should be freed from the coating of ♦Since the first edition of this work was published, the Harper's Ferry armory has been destroyed, and is no longer used for government purposes. ROLLING BARRELS. 321 oxide which generally covers them ; and this is done by applying a composition of ten parts of borax to one of sal-ammoniac. The most important welds in the musket are those of the barrel, and the blade and socket of the bayonet. The first was formerly done under the trip-hammer; it is now better and more economically performed by rollers. 305. Roiling barrels. The material from which a musket-barrel is made is a flat bar of wrought iron, 14 inches long, 5| inches wide, and T 9 T inches thick; the edges are bevelled so that they will make a perfect lap- joint when united as a tube. The several processes of welding are curving, welding, and straightening. Curving. The plate is heated in a reverberatory fur- nace, to a red heat, and then passed between the grooves of the curving-rolls (fig. 109), to bring the bevelled edges in contact. There are five grooves, two being open grooves, and three have tongues upon the upper Fig. 109. roll to bend the plate down into the lower groove. The grooves also differ in size. The first one gives the plate the shape of a trough; the second and third gradually contract it, without changing its form; the fourth and fifth are par- allel grooves, which bring the edges of the plate in con- tact. The object of so many grooves is, to bend the plate gradually, and prevent it from being split open, in case the iron is brittle. In this way, 450 plates can be bent by one set of rolls in a day. Welding. The plates thus bent, or " cylinders" are 21 322 MANUFACTUKE OF SMALL-AEMS. replaced in the furnace to prepare them for the weld- ing-rolls. The workmen are supplied with eight steel mandrels, or rods terminated at the point with an egg- shaped bulb; the bulbs vary from .71 in. to .46 in. in diameter. When one of the cylinders is brought to a white, or welding heat, a workman thrusts the largest mandrel through it, whilst it is in the furnace. He then carries it to the rolls (only one of which is shown in fig. 110), and placing the mandrel through the frame, he introduces the end of the cylinder into the first groove; the action of the rolls is to slip the cylinder over the mandrel, the centre of the bulb being placed and held in the plane of the axis of the two rolls. The cylinder is then straightened by striking it on a flat iron table, and placed Fi &- uo in the furnace to be reheated. The second size mandrel is then inserted, and the cylinder is passed through the second groove in the rolls, which is smaller than the first, and the welding is completed. The object of the remaining grooves is, to give the proper form, or taper, to the cylinder, and for this pur- pose they are made of the same shape as the required barrel. As each groove makes a single circuit of the rolls, and as the rolls are continually in motion, it re- quires some dexterity on the part of the workman to insert the end of the cylinder at the right moment. In this way the cylinder is passed, breech foremost, through five of the taper grooves; it is then passed DRILLING AND TAPPING. 323 twice through the last groove, without a mandrel, to make it smooth. In passing through each taper groove, the barrel is reheated (to a red heat), as the bulb of the mandrel chills the interior surface. Straightening. The welding process being completed, a workman places the barrel in the straightening ma- chine, which is composed of two dies, each of the length and shape of the half-barrel, and which close upon each other as the workman turns the barrel around its axis with a pair of tongs. In this way about 75 barrels can be finished by one set of workmen in a day. 306. Swaging. Swaging is the operation by which the rough iron or steel is converted into a piece of suit- able size and shape for the finisher. It is done by forc- ing the piece of heated metal into a die by means of a heavy drop-weight ; the machine is called a drop-hammer. 307. Boring. Boring is the operation of forming the bore of the barrel. The manner of performing it, and the character of the tools used, depend on the metal employed. If it be steel, the piece to be bored is formed into a solid bar, of homogeneous texture ; if of wrought iron, it is formed into a tube, some portions of which are liable to be harder and more difficult to cut than others. In the first case, a stationary drill is driven through the piece which revolves ; in the second case, the boring instrument revolves rapidly, and, at the same time, is drawn through the hole left by the welding mandrel. 308. Drilling and tapping. The object of drilling is to form holes for the screws, rivets, &c. ; and that of 324 SMALL-ARMS. MANUFACTURE OF. tapping, is to convert the surface of the hole into a fe- male screw. The former operation is performed by the drill-press ; the latter by an instrument called a tap, which is made of a piece of steel, of a pyramidal form, and on the edges of which are segments of screw threads. In all operations of cutting and drilling wrought iron, it is necessary to use oil or water to pre- serve the temper of the tools. In working cast iron, no cooling substance is required. 309. Turning. The object of turning is to give shape and smoothness to the exterior of a body, and is accom- plished in a machine called a lathe. The body is gen- erally made to revolve around a fixed axis, and a cut- ter, which has a motion parallel to this axis, is made to press against its surface ; the combination of these two motions cuts away a spiral chip, and leaves a new sur- face concentric with the axis. It will be easily seen that if the cutter has, in addition to its motion parallel to the axis of rotation, another perpendicular to it, that the resulting figure will be no longer round, but irregular. This constitutes the principle of eccentric turning, and affords the means of turning an almost infinite variety of shapes, simply by regulating the motion of the cutter by a pattern, or model of hardened steel. In this way gun-stocks, and other irregular figures, are formed by machinery ; the principle has even been used in copying statuary. 310. Milling. Pieces of metal which are not suited to the turning-lathe, may be reduced to their proper shape by milling, an operation adapted to nearly all surfaces which have rio*ht-line elements. It is performed by a revolving cutter, armed with CASE-HARDENING. 325 saw-teeth, while the piece to be cut is fastened on a carriage, which moves steadily under the cutter, and along a plane director. The shape of the cut surface depends on the shape of the profile of the cutter ; for instance, to dress the sides of a lock-plate, a cylindrical cutter would be used ; to trim the edges, a curved one. By combining differ- ent shaped cutters on the same arbor, or shaft, a great variety of surfaces can be formed. 311. Cutting and filing. Cutting and filing are done by the hand — the former with a cold-chisel, and the latter by a file. They are employed to finish such parts as are not well adapted to machinery. To guide the workman in giving the proper form, the piece is placed in a hardened steel frame, called ajeg. 312. Qrinding and polishing. Grinding is done with rapidly-revolving grindstones, and is principally con- fined to finishing the bayonet, and exterior of the barrel. Polishing the surface of finished parts is done with emery-wheels, which revolve with great rapidity. The wheels are made of wood, and the circumference is covered with buff leather, to which is glued a coat- ing of emery. 313. Case-hardening. Case-hardening is the conver- sion of the surface of wrought iron into steel, to enable it to receive a polish, or bear friction. The process con- sists in heating the iron to a cherry red, in a close vessel, in contact with carbonaceous matter, and then plunging it into cold water. Old shoes are generally employed for this purpose at the armories, although bones, hoofs, soot, &c, will answer. The materials should be first burnt, and then pulverized. 326 SMALL- ARMS. MANUFACTURE OF. 314. Hardening and tempering steel. Hardening is effected by heating the steel to a cherry red, or until the scales of oxide are loosened on its surface, and plunging it into a liquid, as water, oil, &c., or placing it in contact with some cooling solid; the degree of hardness depends on the heat, and the rapidity of cooling. Steel is thus rendered so hard as to resist the hardest file; and it becomes at the same time ex- tremely brittle. Tempering. In its hardest state steel is too brittle for most purposes; the requisite strength and elasticity are obtained by tempering, which is done by heating the hardened steel to a certain degree, and juunging it into cold water. The requisite heat is usually ascertained by the color which the surface of the steel presents, due to the film of oxide formed on it : At 450° Fahr., a pale j Suitable for hard instruments, straw color. { as the faces of hammers, &c. f Gives a spring temper, or one At 600° Fahr., a grey- J that will bend before break- ish blue. j ing : suitable for saws, sword- v blades, &c. Shades of colors between these extremes, give inter- mediate degrees of hardness. If steel be heated above (300°, the effect of the hardening process is destroyed. The parts of small arms are tempered by dipping them in oil, then heating them until the oil is burned off, when they are again plunged into cold water. 315. Blueing. A blue color may be given to the surface of iron and steel parts, by subjecting them to a OBJECT OF INSPECTION. 327 certain degree of heat. As soon as the proper shade of blue makes its appearance, the piece is removed and allowed to cool, when the color becomes fast. 316. Browning. Browning is the coating given to a gun-barrel to protect it from the action of the at- mosphere, and to prevent the surface from reflecting the sunlight. The process consists in forming a coat of rust, with a mixture of such materials as spirits of wine, blue vitriol, tincture of steel, nitric acid, &c. (see Ord. Manl.), on the clean surface of the barrel, and then rubbing it well with a steel scratch-card until it has a metallic lus- tre. This operation is repeated about a dozen times, until the coating has a deep brown color. The barrel is then washed with boiling water, to dissolve away any of the corroding mixture that may remain, and, when cold, is covered with sperm oil. When the browning has been worn away in places, it may be entirely removed — first, by boiling in lime- water, to remove the varnish or grease, and then soak- ing in vinegar, which loosens the browning so that it can be wiped away with a rag. INSPECTION OF SMALL-AKMS. 317. Object. The objects of inspecting small-arms are, to verify the dimensions, the workmanship, and the quality of the materials of the various parts. Inspections at the armories are made by the foremen of the several departments of work, under the direc- tion of the master armorer. To secure uniformity in 328 SMALL- ARMS. INSPECTION OF. all service-arms, comparative inspections are occasionally made of the work from the different armories ; the parts of one set are required to interchange freely with those of another. Partial inspections are made at the dif- ferent stages of manufacture, to prevent unnecessary labor from being expended on defective pieces. Con- tract-arms are inspected by an officer of the ordnance department, and by sworn assistants taken from one of the armories. The following regulations for the inspection of fin- ished arms, the care and preservation of arms in service, &c, are taken from the Ordnance Manual. 318. Fini§iied arm. The inspector will examine the finished arm on every side, to see that the parts are well fitted together ; he will also verify the principal dimen- sions and forms, by means of appropriate gauges and patterns. 319. Barrel. The diameter of the bore should be verified with the standard and limit gauges. The stand- ard gauge is a cylinder of the diameter of the bore (.58 in,), and the limit gauge is .0025 inch greater. The former should pass freely through the bore, and the latter should not enter it. The barrel should enter the groove of the stock, one-half of its diameter, and should bear uniformly throughout, particularly at the breech. The vent should be accurate in its dimension, position, and direction, and a wire should be passed through it, to s'ee that it is free. The cone should be sound. The shoulders of the breech-screw should fit close to the end of the barrel, and it should be free from cracks or flaws about the tang-screw hole. The straightness of the barrel may be ascertained by turning out the breech- stocks. 329 screw, and holding the barrel up to the light, and re- flecting the image of a straight-edge from the surface of the bore. If the barrel be straight, the reflected image will be straight in all positions of the barrel. The bore should be free from hammer-marks, ring-bores, cin- der-holes, flaws, cracks, &c, and the bayonet-stud and sight notches, should not be cut too deep. 320. Ramrod. The temper of the ramrod may be tested by springing it in four directions, with the point resting on the floor. When the musket-rod is bent six inches out of line, it should spring back perfectly straight without setting. Its soundness may be tested by striking it with a piece of metal, or by bending it over the edge of a block of wood; in the first case the sound emitted should be clear, and in the second case the flaws or cracks will be opened. The screw on the point of the rod should be properly cut ; it should bear properly in its groove, neither too light, nor too loose. The point should rest on the stop. 321. Bayonet. The form and dimensions of the bay- onet are verified with the proper gauges ; the temper is tried by resting the point against the floor, and spring- ing the blade smartly in four directions — toward the back, face, and two edges — grasping the butt of the stock with the right hand, and the middle of the bar- rel with the left. After this, inspect for cracks and flaws. To test the welding of the blade to the socket, strike the elbow smartly on the work-bench. 322. stock§. The wood should be straight-grained, well-seasoned, and free from sap and worm-holes. The effect of unseasoned wood will be to rust the lock and barrel. It may be detected by the odor of a fresh cut, 330 SMALL-ARMS. PACKAGE AND STORAGE OF. or by the crumbling of a chip when pressed in the fin- gers. The edges should be sharp and clear, and free from splits. The dimensions, which concern the fitting of the parts, should be carefully verified. 323. l.ock. All parts of the lock should be sound, well filed, and of proper form and- dimensions. The temper of the hardened parts should be tried with a fine-cut file. See that the main and sear springs have the requisite power. Examine carefullv the action of the lock; see that the movable parts are free, i.e., do not rub against other parts when in motion. Snap on the cone, and see that it fits its seat properly. Let the hammer down several times, to judge of the working of the parts. See that the interior parts are not wood-bound ; that it does not go off at half-cock when the trigger is pulled hard, and that it goes neither too hard nor too easy when cocked. 324. mountings The trigger should work freely, but should have no lateral motion in the guard-plate. The guard-plate should not be screwed up too hard, lest the trigger be brought too close to the sear. The bands should be close to the stock, but not so tight as to re- quire much force to move them. The band-springs should spring back freely when pressed down. The sights are aligned by the flats of the barrel, which are equidistant from the axis of the bore, by construc- tion. The alignment can only be verified by firing at a target. « PACKING AND STORAGE OF ARMS. 325. Boxes. Packing-boxes for muskets are made of STORAGE. 331 well-seasoned pine boards. Each box contains twenty muskets, in two rows of ten each. The pieces are kept from jostling and injuring each other by grooved clamps. The bayonets are unfixed, and placed securely on the bottom of the box, and the appendages are placed in a small apartment at the end. When the regular packing-box cannot be had, arms may be packed in boxes with straw that is dry and free from dust, by forming it into a rope, and wrapping it around them; hay will not answer. They are then placed in rows, the lower row resting on three cushions of .straw placed on the bottom. The butts are kept apart by wedges of straw ; and the top row is covered with straw, pressed in by the cover, which is fastened by two hoops. 326. storage. Arms are kept at the arsenals either in the boxes in which they are received from the armories, or in racks. Each kind is kept separate, and arranged according to model, the place and year of construction, and the time when they were last cleaned. New arms are kept distinct from those which have been repaired. Arms of peculiar kinds, arms to be repaired, and unserviceable or condemned arms, are kept separate. Limbs and spare parts, intended for repairs of arms, should be kept in store by themselves, in a dry place, classed according to the kind of arms, and to the model and year of fabrication, and labelled accordingly. All arms in store should be frequently examined, to see that they are not rusty. Those which are rusty should be immediately cleaned and oiled with sperm 332 SMALL- ARMS. PRESERVATION AND CARE OF. oil. If browned arms are affected with specks of rust, they should be rubbed with linseed oil ; and if the acid be not neutralized, proper authority should be obtained to remove and renew the browning. Empty packing-boxes, from which the arms in racks are taken, should be kept, with the necessary parts, in the attics, or other dry situations. Storehouses for arms should be aired in clear, dry weather. PRESERVATION AND CAEE OF ARMS IN SERVICE. 327. in§truction. The officers, non-commissioned offi- cers, and soldiers, should be instructed and practised in the nomenclature of the arms, and the manner of dis- mounting and mounting them, and the precautions and care required for their preservation. Each soldier should have a screw-driver and a wiper, and each non-commissioned officer a wire tumbler-punch and a spring-vice. No other implements should be used in taking arms apart, or in setting them up. In the inspection of arms, officers should attend to the qualities essential to service, rather than to a bright polish on the exterior. Arms should be inspected in the quarters, at least once a month, with the barrel and lock separated from the stock. 328. Dismounting by a soldier. The rifle-musket should be dismounted in the following order, viz. : — 1st. Unfix the bayonet ; 2d. Insert the tompion ; 3d. Draw the ramrod ; 4th. Turn out the tang-screw ; 5th. Take off the lock ; to do this, put the hammer at half-cock, and partially unscrew the side-screws, then, with a slight TO CLEAN THE BARREL. 333 tap on the head of each screw with a wooden instru- ment, loosen the lock from its bed in the stock ; turn out the side-screws, and remove the lock with the left hand ; 6th. Remove the side-screws without disturbing the washers; 7th. Take off the bands in order, com- mencing with the uppermost ; 8th. Take out the bar- rel. In doing this, turn the musket horizontally, with the barrel downward, holding it loosely, with the left hand below the rear sight, and the right hand grasping the stock by the handle ; tap the muzzle on the ground, if necessary, to loosen the breech. If an attempt were made to pull the barrel out by the muzzle, it would, in case it were wood-bound, be liable to split at the head of the stock. The foregoing parts of the rifle-musket are all that should usually be taken off, or dismounted by the sol- dier. The breech-screw should be taken out only by an armorer, and never in ordinary cleaning. The mount- ings, cone, and cone-seat screw, should not be taken off, nor should the lock be taken apart, except by permis- sion of an officer. 329. To clean the barrel. 1st. Stop the vent with a peg of soft wood, or piece of rag or soft leather pressed down by the hammer ; pour a gill of water (warm, if it can be had) into the muzzle ; let it stand a short time, to soften the deposit of powder; put a plug of soft wood into the muzzle, and shake the water up and down the barrel ; pour it out, and repeat the washing until the water comes out clear ; remove the peg from the cone, and stand the barrel, muzzle downward, to drain, for a few moments. 2d. Screw the wiper on the end of the ramrod, and 334 SMALL-ARMS. PRESERVATION AND CARE OF. put a piece of dry doth, or tow, round it, sufficient to prevent it from chafing the grooves of the "barrel ; wipe the barrel dry, changing the cloth two or three times. 3d. Put no oil into the vent, as it will clog the pas- sage, and cause the first primer to miss fire ; but, with a slightly oiled rag on the wiper, rub the bore of the barrel, and the face of the breech-screw, and immedi- ately insert the tompion into the muzzle. 4th. To clean the exterior of the barrel, lay it flat on a bench or board, to avoid bending it. The practice of supporting the barrel at each end, and rubbing it with a strap, buffstiek, ramrod, or any other instrument, to burnish it, is pernicious, and should be strictly forbidden. 5th. After firing, the barrel should always be washed as soon as practicable ; when the water comes off clear, wipe the barrel dry, and pass into it an oiled rag. Fine flour of emery cloth is the best article to clean the exte- rior of the barrel. 330. To clean the lock. Wipe every part with a moist rag, and then a dry one ; if any part of the inte- rior shows rust, put a drop of oil on the point or end of a piece of soft wood dipped into flour of emery; rub out the rust, and wipe the surface dry ; then rub every part with a slightly oiled rag. 331. To clean the mountings. For iron and steel parts, use fine emery moistened with oil, or emery cloth. For brass parts, use rotten-stone moistened with vinegar or water, applied with a rag, brush, or stick; oil or grease should be avoided. The dirt may be removed from the screw-holes by screwing a piece of soft wood into them. Wipe all parts with a linen rag, and leave the parts slightly oiled. lock. 335 332. Dismounting by an armorer. The parts which are specially assigned to be dismounted by an experi- enced armorer will be stated in their regular order, fol- lowing No. 8, viz. : 9th. Unscrew cone ; 10th. Take out cone-seat screw ; 11th. Take out band-springs, using a wire punch ; 12 th. Take out the guard-screws. Be careful that the screw- driver does not slip, and mar the stock; 13th. Remove the guard without injuring the wood at either end of the plate ; 14th. Remove the side-screw washers with a drift-punch; 15th. Remove the butt-plate; 16th. Re- move the rear-sight ; 17th. Turn out the breech-screw by means of a " breech-screw wrench" suited to the tenon of the screw. No other wrench should ever be used for this purpose, and the barrel should be held in clamps, neatly fitting the breech. 333. L.ock. To take the lock apart : — 1st. Cock the piece, and apply the spring-piece to the mainspring ; give the thumb-screw a turn sufficient to liberate the spring from the swivel and mainspring notch ; remove the spring; 2d. The sear-spring screw; 3d. The sear- screw and sear ; 4th. The bridle-screw and bridle ; 5th. The tumbler-screw; 6th. The tumbler. This is driven out with a punch, inserted in the screw-hole, which at the same time liberates the hammer ; 7th. Detach the mainspring swivel from the tumbler with a drift -punch; 8 th. Take out the feed-finger and spring ; 9th. The catch- spring and screw. As a general rule, all parts of the musket are assem- bled in the inverse order in which they are dismounted. Before replacing screws, oil them slightly with good sperm oil (inferior oil is converted into a gum which 336 SMALL- ARMS. INSPECTION OF, ETC. clogs the operation of the parts). Screws should not be turned in so hard as to make the parts bind. When a lock has, from any cause, become gummed with oil and dirt, it may be cleaned by boiling in soap-suds or in pearlash or soda water ; heat should never be applied in any other way. 334. Precautions in using. In ordering arms on parade, let the butt be brought gently to the ground, especially if the ground be hard. This will save the mechanism of the lock from shocks, which are very in- jurious to it, and which tend to loosen and mar the screws, and split the woodwork. The ramrod should not be " sprung" with unnecessary force, for fear of injuring the corners of the grooves ; and, in stacking arms, care should be taken not to in- jure the bayonets by forcibly straining the edges against each other. No cutting, marking, or scraping the wood or iron should be allowed ; and no part of the gun should be touched with a file. Take every possible care to pre- vent water from getting between the lock, or barrel, and stock. If any should get there, dismount the gun as soon as possible, clean and oil the parts as directed, and see that they are perfectly dry before assembling them. INSPECTION OF ARMS IN SERVICE, &c. 335. Gauges. The inspecting instruments are the standard and limit gauges of the bore and exterior of the barrel, and a screw-plate with taps for the holes of the lock-plate. CLASSIFICATION. 3o7 336. inspection. The following are the principal points to be attended to in the inspection : Barrel. Defects for which the barrel must be con- demned as unfit for service. The large gange entering the whole length of the barrel. The small or standard gauge not entering, unless the diminution of the bore is caused by the barrel being indented or bent, defects which may be remedied. A diminution of the exterior diameter at the breech, or at the muzzle, so as to enter the small receiving gauges ; this diminution is 0.1 inch at the breech ; 0.03 inch at the muzzle, for arms with bayonets ; 0.045 inch for arms without bayonets. A diminution of 0.5 in length of the barrel, splits, cross- cracky an 1 other serious defects, caused either by bad workmanship, or by use. See that the bayonet-stud is not too much worn or broken ; that the cone-seat is perfect, and the vent un- obstructed. See that the breech-screw is tight after entering five or six threads ; that the threads are sharp and sound ; that the body fills the bore of the female screw; that the tang is not broken or cracked at the screw-hole, and that it is even with the upper surface of the barrel. If it have any of these defects, replace it with a new one. Cone. See that the chamfered end is not broken or bruised, and that the thread and vent are in proper condition. Bayonet. A bayonet is considered unserviceable if the blade is one inch too short. See that it is sound and perfect in all its parts; that it fits the barrel; and that the clasp is in good order, and turns freely. Lock. See if the fixed branches of the springs fit 22 338 closely to the lock-plate, if the movable branches are clear of it, and if any of the parts are wood-bound. Renew the springs and the bridle of the tumbler when their pivots are broken. If the sear rubs on the plate, have it adjusted. The friction of the tumbler may be caused by the bridle being badly pierced, in which case renew the bridle. If the hammer rubs on ono side, have it adjusted; if it rubs everywhere, the ar- bor of the tumbler does not project sufficiently, and the tumbler should be renewed. If the notches of the tumbler are broken, or the edges blunt, have them dressed; if the hook of the tumbler projects beyond the edge of the lock-plate when the hammer is let down, the tumbler should be renewed. The arbor and pivot of the tumbler should fit well in their holes. Ex- amine the sear closely, and have it renewed when the nose is too thin, or is worn on the side next the lock- plate, although it may be perfect on the exterior.- If the hammer is not steady, the tumbler should be renewed. Try the action of the hammer, to see that it explodes the cap with certainty. Renew the lock-plate when the screw-holes are too much, worn to be dressed over. Renew every limb that is broken or cracked, the screws which are too much worn, or of which the stems are bent, or the slits too much enlarged. Mountings, See if the parts be complete and sound. Ramrod. See if it be sound, and have a good thread, and be of the proper length; otherwise re- place it. Stock. Examine carefully the bed of the loch, and the holes for the band and springs. Press the thumb against DURABILITY. 339 the facings, to see if they are split at the holes for the side-screws, and renew the stock if it be split at any other part to an injurious extent. 337. cia§siflcation. Arms that have been in service may be classified as follows : 1st. Serviceable arms, 2d. Arms requiring repairs. 3d. Irreparable arms. Arms in the hands of the troops may be repaired by replacing the defective parts by new ones, or by transferring parts from other arms of the same model. Every officer in charge of arms should be supplied with a suitable number of spare parts for making repairs in the field. Arms are considered irreparable when both the bar- rel and stock are unfit for service ; or when they require extensive repairs, and the parts can be used for repairing other arms. DURABILITY AND STRENGTH OF THE MUSKET-BARREL. 338. Durability. Some idea may be formed of the endurance of small-arms generally, by that of the French musket-barrel — the barrel being the most important part of any arm. It has been shown that this barrel will bear 25,000 discharges without becoming unser- viceable. In time of war a musket is not fired more than five hundred times a year ; with good care, there- fore, it ought to last fifty years. The principal cause of weakness in a barrel is the diminution of the exterior diameter, at the breech, by 340 SMALL- ARMS. STRENGTH. wear. This diminution is limited to 0.1 inch, although a barrel worn away 0.13 in. has borne the discharge of two cartridges, placed one upon the other. 339. strength. Trials made at Mutzig, in 1829, with arms sent there for repairs, show the following results : 1st. When a musket-barrel is charged with a single cartridge placed in any part of the barrel, or with two, or even three cartridges, inserted regularly, without any interval between them, there is no danger; with four cartridges, inserted regularly over each other, or with two or three cartridges placed over each other with slugged balls, there is danger only in case of some defect of construction, or some deterioration in the barrel ; with more than four cartridges inserted regu- larly over each other, or with two, three, or four car- tridges, with intervals between them, it is not safe to fire. Late experiments with the rifle-musket, show that any number of cartridges can be placed one upon the other, and the piece be fired, without injury. In con- sequence of the expansive nature of the projectile, which cuts off the passage of the flame, but two charges will be inflamed, and their force will be expended through the vent. 2d. No danger of bursting is occasioned by leaving a ball-screw in the barrel. There may, be danger from a plug of wood driven tightly into the muzzle when the barrel is loaded with two cartridges ; or from a cork rammed into the barrel to a certain distance from the charge, with another cartridge over it. Snow, clay, and sand, accidentally introduced into the barrel, are not dangerous, if they lie close to the charge ; but they are so when there is a space between STRENGTH. 341 them and the charge ; in this case sand is the most dan- gerous, then clay and snow. Balls or pieces of iron inserted over the charge, are not attended with dan- ger when placed close to it, even when their weight amounts to 1} lbs. ; but there is danger from a piece of iron 0.5 inch square, weighing J- lb., if placed 20 inches or more from the breech. 3d. A barrel, with a defect which might have escaped the inspector, bore the explosion of three cartridges, regularly inserted. In these trials, barrels originally 0.272 inch thick at the breech did not burst when loaded with two cartridges, until the thickness was reduced to 0.169 inch, and with one cartridge, to 0.091 inch. 342 PYROTECHNY. BUILDINGS, ETC. CHAPTER VII. PYROTECHNY. 340. Definition. Pyrotechny is the art of preparing ammunition and fireworks for military and ornamental purposes. It will be treated under the head of build- ings, materials, ammunition, military fireworks, and ornamental firework*. BUILDINGS, &c. 341. How arranged. To conduct the operations of a military laboratory with safety and convenience, the following rooms are necessary, viz. : — 1st. Furnace-room, for operations requiring the use of fire. 2d. Cartridge-room, for making all kinds of car- tridges. 3d. Filling-room, for filling cartridges with powder. 4th. Composition-room, for mixing compositions. 5th. Driving-room, for driving rockets, fuzes, cfec. 6th. Packing-room, for putting up articles for trans- portation. 7th. Carpenters and tinners shop. 8th. Magazine, for storing powder and ammunition. A laboratory, like a powder-mill, should be situated apart from inhabited buildings ; and, for convenience of communication, the rooms, with the exception of the PRECAUTIONS. 343 farnace-room, carpenter's shop, and magazine, should be situated under one roof. 342. Furnaces. A furnace is composed of a cast-iron kettle, 2 feet in diameter, set in a fire-place of brick. In the field, sods may replace the brick, if the latter cannot be obtained. Two kinds of furnaces are employed in a laboratory ; in the first, the flame circulates around both bottom and sides of the kettle ; in the second, it only comes in con- tact with the bottom ; the latter is used for composi- tions in which gunpowder forms a part. 343. Precautions. To prevent accidents in the oper- ations of a laboratory, avoid, as much as possible, the use of iron in the construction of the buildings, fixtures, ), the straps () ; the long tube is filled with rifle powder, and is in- serted in the vent of the piece. When the extremity of the loop is violently pulled by means of a lanyard, through its hole in the long tube, sufficient heat is generated to ig- nite the friction powder which surrounds it, and this communicates with the grain-powder in the long tube. The charge of grained powder has sufficient force to pass through the longest vent, and penetrate several thicknesses of cartridge-cloth. The composition of fric- tion powder is: — Fig. 122. CHLORATE OF POTASS A. SULPHURET OF ANTIMONY. 2 1 formed into a paste with gum- water. 371. Fuzes. Fuzes are the means used to ignite the bursting-charge of a hollow projectile at any desired moment of its flight ; they may be classified according to their mode of operation, as percussion, concussion, and time-fuzes. Time-fuze. This fuze is composed of a case of paper, wood, or metal, enclosing a column of burning compo- sition, which is set on fire by the discharge of the piece, and which, after burning a certain time, communicates with the bursting-charge. Its successful operation depends on the certainty of FUZES. 361 ignition, the uniformity of burning, and the facility with which its flame communicates with the bursting- charge. Composition. The ingredients of all time-fuze compo- sitions are the same as for gunpowder, but the propor- tions are varied to suit the required rate of burning- Pure mealed powder gives the quickest composition, and the others are derived from it by the addition of nitre and sulphur in certain quantities. The rate of burning of a column of fuze composition depends on the purity and thorough incorporation of the materials, and on its density. These qualities are best secured by procuring the materials from the powder, mills ready mixed, and driving them with a press of peculiar construction. Three kinds of time-fuzes are employed in the United States service, viz.: the mortar-fuze, the Bormann-ftize, and the sea-coast fuze. Mortar-fuze. The case of the mortar-fuze is made of beech-wood, turned in a lathe to a conical shape, and bored out nearly to the bottom to receive the composi- tion (fig. 123). The composition is driven with fifteen blows of the mallet. The bore is en- larged at the top to receive a priming of mealed powder moistened with alcohol. To protect the priming from injury by moisture, the top of the fuze is covered with a cap of water-proof paper, on which is marked the rate of burning of the composition. The exterior is divided into inches Fig. 123. and tenths, to guide the gunner in regulating the time of burning. This operation is generally performed be- fore the fuze is driven into the fuze-hole of the shell, by 362 PYROTECHNY. MILITARY FIREWORKS. cutting it off with a saw, or boring into the composition with a gimlet. If the fuze be driven, the column of composition may be shortened by taking a portion from the top with the fuze-auger. 372. Bormann-fnze. This fuze is the invention of an officer of the Belgian service. The case is made of an alloy of tin and lead, cast in iron moulds. Its shape is that of a thick, circular disk ; and a screw thread is cut upon its edge, by which it is fast- ened into the fuze-hole of the project- ile. (See figure 124.) The upper sur- face is marked with two recesses (a a), and a graduated arc. The former are made to receive the prongs of a screw- driver ; and the latter overlies a circu- lar groove, filled with mealed powder, tightly pressed in and covered with metal cap. The only outlet to the groove containing the mealed powder is under the zero of the graduation ; this outlet, or channel (), which is filled with musket powder, and covered with a perforated disk of tin. To enable this fuze to resist the shock of discharge, and at the same time to increase the effect of a small bursting-charge, the lower portion of the fuze- hole is closed with a perforated disk (e). Before the projectile is inserted into the piece, a cut is made across the graduated portion, laying bare a small proportion of the mealed powder, which, 1 being ig- nited by the flame of the charge, burns in both direc- tions until the outlet is reached and the grain powder Fig. 124. SEA-COAST FUZE. 363 ignited. The graduations are seconds and quarter sec- onds, and the time of burning of the fuze depends on the length of the column of mealed powder included between the incision and outlet. If the metal covering be not cut, the projectile may be fired as a solid shot The Bormann-fuze is used for the field and siege ser- vices, and is found to be accurate and reliable, especially for spherical-case shot.* 373. Sea-coa§t fuzc.-f- The sea-coast fuze is princi- pally distinguished from the mortar-fuze by having a metal cap, constructed to pre- vent the burning composition from being extinguished when the projectile strikes against water. It is composed of a brass plug (a y fig. 125), which is firmly driven into the fuze- hole of the projectile ; a paper-fuze (7>), in- serted into the plug, with the fingers, im- Bg. 125. mediately before loading the piece ; and a water-cap () of variable quick- ness of burning. A long cavity is formed in the lower part of the composition, by driving it around a spindle, as in a rocket ; this cav- ity is filled with moist plaster of Paris, and a rig. 12 6. long needle is inserted in it, nearly to the bottom of the plaster, forming a tube (gl cos. (90°— a) ; from which we see that the velocity of the pendulum increases from its highest to its lowest point, and vice versa. The time t' is equal to the circumference of the circle, the radius of which is Z, divided by the velocity, v; THE WEST POINT BALLISTIC MACHINE. 395 again divide this by 360, we have the time of passing over each degree, or, t=z 2j S60i/2gl cos.(90°— 5) • To determine £, it is necessary to change the cylin- drical arms of suspension to knife-edges, in order to de- termine the time of vibration through a veiy small arc. The mean of 500 vibrations will be very near the exact time of a single vibration. Knowing the time of a single vibration, the length of the equivalent simple pendulum can be obtained by the relation l=d't"*, in which t" is this time, and V is the length of the simple second's pendulum at the place of observation. At West Point Z'=:39.11448 inches. " " ^=32. 17050 feet. In this way all the constants of the expression for t are known, and by assigning different values to a?, a table can be formed, from which the times corresponding to different arcs can be obtained by simple inspection. The table in chapter XIII. is calculated for the West Point machine. y MOTION OF A PROJECTILE IN VACUO. 411. Determination of equation§ of motion. A 'pro- jectile is a body thrown or impelled forward, generally in the air ; and the trajectory is the line described by its centre of inertia. The movement of a projectile will be considered firstly in vacuo, and secondly in the air. Let A (fig. 135) be the position of the muzzle of a fire-arm, and the line A B its axis prolonged. 396 SCIENCE OF GUNNERY. MOTION IN VACUO. Fig. 135. Let

- 2 F 2 cos. 2 MOTION IN VACUO. 397 From the laws which govern falling bodies, F== V'lgH, or V 2 —^gH; in which H is the height due to the velocity V. Substituting this value of V 2 , the equation becomes, x 2 y=x tan. $—-7-7? r*~i (1) y r 4:B cos. 2 ' v J which is the equation of a parabola. From the same figure we obtain — y=Vt sin. -igt 2 . (2) #= Vt cos. . (3) *= ® „ . (4) K COS. v 7 2d. To determine the vertical ascent and horizontal range of the projectile, differentiate equation (1), and place the value of -^=0; whence we obtain, dx X— 4 Hsin. cos.tf>=: 2 J7 sin. 20. (5) ^ X being the abscissa of the highest point, Y"=^ r sin>. (6) The first value of X shows, that the range can he ob- tained with two angles of projection, provided they be complements of each other ; the second value shows, that the greatest range corresponds to an angle of 45°, and that this range is equal to twice the height due to the ve- locity ; and, also, that variations in the angle of fire produce less variations in range as the angle of fire ap- proaches 45°. 3d. If two projectiles be thrown under the same angle, with different initial velocities, V and V\ the ranges being X and X \ we have, Y 2 V' 2 X=2#sin.20= — sin. 20, and X'— sin. 20; 9 9 398 SCIENCE OF GUNNERY. MOTION IN VACUO. and from these we nave, V _<^ (7) Therefore, under the same angle of fire, the ranges are proportional to the squares of the velocities ; and recip- rocally, the velocities are proportional to the square roots of the ranges. ds 4th. The velocity at any point is equal to -j, or du 2 -\-dx 2 v*=-^—j-2 — . Substituting the values of dy and dx, obtained by differentiating equations (2) and (3), we have v*= V 2 -2 Vgtsm.+gH 2 . Substitute for -2 Vgt&m.cos.<£, equation (5), in equation (4), which becomes 4j£Tsin.=45°, sm.cp=V% 1 and V=VgX. Calling T the time of flight, we have, ' V \q V 16.07 T Hence the time of flight for an angle of 45° is equal to the square root of the quotient of the range divided by one-half of the force of gravity ; or, it is approximately equal to one-fourth of the square root of the range ex- pressed in feet 6th. The tangent of the angle made by a tangent line at any point of the trajectory is equal to -X which is obtained by differentiating equation (1) ; calling this angle 0, we have, x tan.(9=tan.w> == . (10) r 2^cos. 2 tf> v J Substitute the value of JT=4 H sin.^ cos.0, the angle of fall on horizontal ground is tan.0= — tan.0 ; that is to say, the angle of fall is equal to the angle of projection, measured in an opposite direction. 7th. The position of a point being given, to find the initial velocity necessary to attain it, let a and b be the horizontal and vertical co-ordinates of this point of the curve, and e its angle of elevation. Substituting these quantities in equation (1), and recollecting that tan. e= -, we have, a a COS.e H- 4 sin. (<£ — e)- cos.0' or, 7=4 / ■ , a 9 c °^ . (11) V 2 sin.(<2>— eVcos.o!) 400 SCIENCE OF GUNNERY. INITIAL VELOCITY. 8th. The position of a point being given, to find the angle of fire necessary to attain it. Substituting a and b for x and y in equation (1), we have, ~ 9 b=a tan.^. 4i7cos. 2 from which to determine . Making tan.<£=a, we have, cos. 2 <£ = ; which be- ing substituted in the above equation gives— a=tan.0=:-(2^r = Li/4S' T ^4^3^y (12) The two values of tan.^ show that the point may be attained by two angles of projection; and the radical shows the solution of the problem is possible when the quantity under it is positive / or, 4:H 2 >4:JIb+a\ 412. Practical application of formula. The preced- ing formula will only be found to answer in practice for projectiles which experience slight resistance from the air, or for heavy projectiles moving with low velocities, as is commonly the case with those of mortars and howitzers. The following table gives the difference between the observed and calculated times of flight of the French 8 and 10-inch mortar shells, weighing 64 and 119 lbs. respectively. The initial velocities being unknown, the times are calculated from the observed ranges. The observed times are invariably greater than the calculated times, as might be expected from the resist- ance of the air, which retards the motion of projectiles. PRACTICAL APPLICATION OF FORMULA. 401 Kind of projectiles. ■fi.'S "S3 o Ranges at angles of Times of flight. 4 5° 30° 45° 30° Observed. Calcu- lated. Observed. Calcu- lated. Kilog. 0.234 Meters. 343 Meters. 290 Seconds. 9.8 Seconds. 8.4 Seconds. 6.8 Seconds. 5.8 8-inch. 0.351 0.585 629 1146 561 1011 12.9 16.0 11.3 15.3 10.0 12.3 8.1 10.9 0.994 1792 1690 20.8 19.2 16.9 14.1 0.468 457 383 11.0 9.7 7.5 6.8 0.693 734 637 14.0 12.2 10.0 8.7 10-inch. 1.054 1132 980 17.0 15.2 12.0 10.2 1.405 1555 1355 20.0 17.8 14.0 12.6 1.639 1757 1516 23.0 18.9 15.0 13.4 The next table shows the observed and calculated ranges, for 30° elevation, and the observed ranges for 45° elevation, for the above projectiles, the initial veloc- ities being the same for each projectile. Kanges of 10-inch Mortar Shells. Ranges of 8-inch Mortar Shells. 45° 30° 45° 30° elevation. elevation. elevation. elevation. Calcu- Calcu- Observed. Observed. lated. Difference Observed. Observed. lated. Difference Meters. Meters. Meters. Meters. Meters. Meters. Meters. Meters. 457 383 396 + 13 343 290 298 + 8 734 637 637 629 561 545 —16 1132 980 982 + 2 1146 1011 993 —13 1555 1355 1350 — 5 i 1792 1690 1552 —138 1757 1516 1522 ■ + 6 It appears from the foregoing tables, that the ranges of mortars with different degrees of elevation, can be calculated up to about 1,400 yards from equation (5), or, 26 X=2^ r sin. 20, 402 SCIENCE OF GUNNERY. RESISTANCE OF THE AIR. and the times from equation (4), or X T= T^COS. RESISTANCE OF THE AIR. 413. Importance of considering it. A body moving in the air experiences a resistance which diminishes the velocity with which it is animated. That the retarding effect of the air, on projectiles moving with high veloc- ities, is very great, is seen by comparing the actual ranges of projectiles with those computed under the supposition that they move in vacuo. Thus, it has been shown that certain cannon-balls do not range one-eighth as far in the air as they would if they did not meet with this resistance to their motion; and small-arm projectiles, which have but little mass, are still more affected by it. 414. Law of resi§tance. Incompressible fluid. The resistance experienced by a plane surface moving parallel to itself through an incompressible fluid, is equal to the pressure of a column of the fluid, the base of which is the moving surface, and its height that due to the ve- locity with which the surface is moved through the fluid, or, from the law of falling bodies, h= • in y which h is the height, v the velocity, and g the force of gravity. The resistance on a given area is therefore propor- tional to the square of the velocity, and the density of the fluid medium. Let d, «9J and v represent the density or weight of a LAW OF EESISTANCE. 403 unit of volume of the fluid, the area pressed upon, and the velocity of the moving surface, respectively, and p the resistance in terms of the unit of weight, and we have, 9=MS^ (13) in which h is a coefficient to be determined by experi- ment. Compressible fluid. If the medium be formed of com- pressible gases, as the atmosphere, the density in front of the moving body will be greater than that behind it ; and it will be readily seen that the body will meet with a resistance which increases more rapidly than the square of the velocity, in such a manner that the coefficient \ or the density of the medium, d, should be increased by a quantity which is a function of the velocity itself, or, what is the same thing, by adding another term to the resistance which shall be proportional to the cube of the velocity. In examining the table of resistances, obtained by Hutton from firing a one-pound ball into a ballistic pen- dulum, at different distances, and with velocities vary- ing from 300 to 1,900 feet, Piobert found, that if v 2 in the foregoing expression be replaced by the binomial term, ( v 2 -\ — i, m which -—_ , the expression would nearly satisfy the results of experiments. hd Calling A= — , and ttR* the area of the cross section of a projectile, the general expression for the resistance in air becomes, 9 =AnB>(l+f)v\ (14) \ 404 SCIENCE OF GUNNERY. RESISTANCE OF THE AIR. In this expression, A is the resistance, in pounds, on a square foot of the cross-section of a projectile moving with a velocity of one foot; r is a linear quantity de- pending on the velocity of the projectile. For all service spherical projectiles, ^4. =.000514; and for all service velocities 7*= 1427 feet. The value of A for the oblong projectiles of our service remains to be determined by experiment; it is stated in the French Aide-Memoire that for a certain oblong bullet (presumed to be that of the carabine a tige) ^.=.000342, or that the resistance of the air is one-third less on the pointed than on the spherical form. The coefficient A, being a function of the density of the air, its value depends on the temperature, pressure, and hygrometric condition ; in the above value the weight of a cubic foot of air =.075 lb., at a temperature of 60° Fahr., and for a barometrical pressure of 29.5 inches. If the surface of the projectile be rough or irregular, the value of this coefficient will be slightly too small. Example. — What is the pressure of the air on a 42-pdr. shot moving with a velocity of 1,500 feet? — 2 ,/ 1500\ p=.000514 X 3.1415 x .29 X 1500 2 ( 1 + — - I =629.3 lbs / 150o\ ( 1 + l427j 415. Fall of a projectile In the air. The motion of a body falling through the air, will be accelerated by its weight, and retarded by the buoyant effort of the air, and the resistance which the air offers to motion. As the resistance of the air increases more rapidly than the velocity, it follows that there is a point where the retarding and accelerating forces will be equal, and that beyond. this, the body will move with a uniform veloc- FALL OF A PROJECTILE IN THE AIR. 405 ity, equal to that which it had acquired down to this point. The buoyant effort of the air is equal to the weight of the volume displaced, or P— ; in which P is the weight and D the density of the projectile, and d the density of the air. When the projectile meets with a resistance equal to its weight, we shall have, P(l-§)=^v(l+^); (15) in which the weight of the displaced air is transferred to the first member of the equation. As the density of the air is very slight compared to that of lead or iron, the materials of which projectiles are made, ~> may be neglected. Making this change, and substitu- 4 ting for P, —nil 3 1) (g having been divided out of the o second member, should be omitted in the first), the ex- pression for the final velocity reduces to The resistance on the entire projectile for a velocity P of 1 foot, is AttR 2 ; dividing this by — , or the mass, we if get the resistance on a unit of mass. Calling this — , we have, zc 1 AnB? a P 9 406 SCIENCE OF GUNNERY. LOSS OF VELOCITY. Substituting for P its value in the equation of verti- cal descent, we have, 2^=* 2 (i+^); from which we see that v depends only on c / but 2 ED €= 3 gA (17) hence, the final velocity of a projectile falling through the air is directly proportional to the product of the diameter and density of the projectile, and inversely proportional to the density of the air, which is a factor of A. SHOT. SHELLS. MUSKET BULLET. Calibre 42 24 18 12 6 13 in 10 in 8 in. 24 pdr. Round, 69 diam. Final velocity of de- scent in air, in feet per second 485 455 425 410 360 585 505 445 375 213 Value of c 4899 4247 3650 3370 2518 6436 4677 3570 2754 804 The value (, and that 2c= -p, the equation reduces to, dv_ v 2 / v\ Integrating this equation between the limits and %, which correspond to V and v, we have, T + V To obtain a relation between the space and velocity. we have v—-j-i ovdt— — ; substituting this in the equa- tion for the intensity of the retarding force, and reduc- ing, we have, dv A 1\ 2c, ' v. \v-v)-T l °^--r (18) dx=: — 2c V H) 408 SCIENCE OF GUNNERY.— LOSS OF VELOCITY. Integrating between the same limits as in the preced- ing case, we have, r x 1 + 2c x=2clog. -or l+£sjflHrjfV (19) T 1+ V Solving this equation with reference to v, we have, r v= ('+T>*- (20) Substituting, in equation (18), x for its value given in equation (19), we have, t=2c ( l *\- X . (21) The logarithms in the above equations belong to the Napierian system, and are obtained by multiplying the corresponding common logarithm by 2.3026:0=2.713. Practical remarks. Equation (19) gives the space passed over by a certain projectile when the velocities at the commencement and end of the flight, are known. Equation (20) gives the remaining velocity when the initial velocity and the space passed over are known. Equation (21) gives the time of flight when the ve- locities at the beginning and end and the space passed over, are known. The distance at which the velocity Fls reduced to t\ and the duration of the trajectory, being proportional to c, are directly proportional to the product of the diame- ter and density of the projectile, and inversely propor- tional to the density of the air. This fact shows the great advantage, in point of range, to be derived from THEORY. 409 using large projectiles over small ones, of solid projec- tiles over hollow ones, of leaden projectiles over iron ones, and of oblong projectiles over round ones. FORM OF PROJECTILE. 417. Theory. When a body moves through the air, the gaseous particles in front are crowded upon each other until they meet with a certain resistance, after which they move off laterally, and finally pass around and arrange themselves in rear of the moving body. It is evident that the difference of the densities, or pressures, front and rear, depends on the velocity with which the displaced particles rearrange themselves after displacement ; and this, in turn, depends on the shape, and extent of the surfaces of the moving body. The best form for a projectile can only be determined by ex- periment, as theory and experiment do not agree in their results. According to theory, if a plane of given area be moved through the air, it meets with a resistance which is proportional to the square of the sine of the ans4e which its direction makes with that of motion. The experiments of Hutton with low velocities show that this is only true in cases of 0° and 90° ; that from 90° up to 50° or 60°, the resistance is nearly propor- tional to the sine ; beyond this, it decreases a little more rapidly than the sine, but not so rapidly as the square of the sine : 410 SCIENCE OF GUNNERY. LOSS OF VELOCITY. For an angle of 22° it is only \ the resistance proportional to the sine. a U 14.0 a \_ u ►< u 3 « « Qio "1 " ** M tt U 40 « 1 M « U * 5 « U 0° << 1 « " U 418. Experiments of Hutton and Borda. The fol- lowing are the results of the experiments made by Hutton and Borda, on the resistances experienced by different forms of solids moving through the air with velocities varying from 3 to 25 feet per second. HUTTON 1 S EXPERIMENTS. VELOCITY, 10 FEET. Kind of surface. Experimental resistance. Theoretical resistance. | No. 1 Hemisphere (convex surface in front), No. 2 Sphere, No. 3 Cone, elements in- clined to the axis 25° 42', No. 4 Disk, No. 5 Hemisphere (plane surface in front), No. 6 Cone (base in front), 119 124 126 285 288 291 144 144 53 288 288 288 Fig. 136. BORDA. Kind of surface. Experimental resistance. Theoretical resistance. | No. 1, Prism, with triangular base, No. 2, " M No. 3, " semi-ellipse, No. 4, " ogee, 100 52 43 39 100 25 50 41 Fig. 137. CONCLUSIONS. 411 419. Conclusions The foregoing experiments show: 1st. That the results of theory do not agree with those of practice. 2d. That rounded and pointed solids suffer less resistance from the air than those which present flat surfaces of the same transverse area, but, at the same time, the sharpest points do not always meet with the least resistance. 3d. That where the front surfaces were the same, the resistance was least with those in which the posterior surfaces were the flattest. 4th. That the ogeeval form, or the form of the present rifle- musket bullet, experiences less resistance than any other tried. These experiments, as before remarked, were made with low velocities, compared to those which ordinarily actuate projectiles, and the conclusions which have been drawn from them may not be strictly applicable in prac- tice. Now that oblong projectiles are used in all kinds of fire-arms, it is important to determine that form which will be least affected by the resistance of the air. It is evident that that form will be the best which, on trial, is found to give the least value to A in equation (14), or, what is the same thing, to give the greatest value to c in equation (21).* * The author proposes the following method of determining the value of c by the electro-ballistic machine. Establish four targets in the line of fire, in such manner that the first shall be near the piece, the second shall be at a distance x from the first, the third at a distance 2x from the first, and the fourth at a distance of 4x from the first ; let t, t\ and t" represent the intervals of time corresponding to the distances between the targets, respectively; let v be the velocity at the middle point between the first and third targets, or at the distance x, and let v' be the velocity at the middle point between the first and fourth targets, or at the distance 2x. Equation (21) becomes 2c 2e X or 2^ = 2c_^_ # v V r V v r 412 SCIENCE OF GUNNERY. TRAJECTORY IN AIR. TRAJECTORY IN AIR. 420. Bifflcuitie§ of the problem. In consequence of the variable nature of the resistance of the air, it has been found impossible to integrate the differential equa- tions of the real trajectory, even under the supposition that this resistance varies in as simple a ratio as the square of the velocity. Several distinguished mathe- maticians have obtained expressions which approximate to the true results, but the expressions are generally too complicated to be of much practical value. 421. Diction's method. Captain Didion, professor of gunnery in the artillery school at Metz, however, furnishes an approximate solution to this difficult ques- tion, which may be used in practice. To do this, he considers the resistance of the air equal to Mffft+tyf; and by assuming a mean value for the different inclina- tions of the elements of the trajectory to their horizon- ds tal projections, which makes -r- constant, he is able to 2 c Since ■— is the same for all the distances, we have t—t'—~ 2c fit 2c 2x , r f— r 1, or c— -jz -— v r v r 2 From the note on page 389, we are at liberty to place v— =— and v'— ■— • substitut- t t ing these values in the preceding equation, reducing and changing the signs of both numerator and denominator of the second member, we have 2x1 f—t+~ c- t"—2t' "Which equation gives the value of c in terms of t, t', t", and which can be deter- mined by taking the mean of several shots, with the electro-ballistic machine, at the different distances, x, 2x, and 4x. 413 integrate the differential equations, and place them un- der the following forms : ft fl$ y=x tan. (j> —~ -« r B ; * 2 V 2 cos. 2 \ OS Tan. d= tan.0 — a-™ tt.1; X -r. T^COS. 1 t= «r- JJ ; v=. yt- V cos. <$> 7 cos. e U The same notation being preserved as in the equa- tions in vacuo (page 397), it will be perceived that the equations in air differ from those in vacuo, by the mul- tipliers B, I, ./>, and U, respectively. The multiplier B relates to the fall of the projectile ; 7, to the inclination ; Z>, to the duration ; and U, to the velocity ; they are each functions of — and — -; in which a is the constant relation of the arc to its projec- tion, V,= 7^ cos. 0, and c and r are co-efficients of the formula for the resistance of the air. (See pages 403 and 406.) The general expression for a particular mul- tiplier, B for instance, is B( — ; - — - V The values B, I, D, and TJ % for such values of c and r as are likely to arise in service, have been computed, and arranged in tabular form ; these tables, their con- struction, and use, are explained in chapter XIII. So long as the inclination of the trajectory is slight, « differs but slightly from unity; for an angle of 15° it does not exceed 0.01 ; and as it only enters into the term which relates to the resistance of the air, the error 414 SCIENCE OF GUNNERY. TRAJECTORY IN AIR. does not exceed a pressure corresponding to 0.25 in. in the height of the barometer ; it may, therefore, be re- garded as unity, and — - reduces to -. The same with G G regard, to — — • or — ; as a cos. tj>, when 0=10°, differs only about 0.01 from unity ; and this expression y may be reduced to — . When the angle of projection does not exceed 3°, cos.

, and are each equal to unity, the equations of the trajectory in air may be reduced to — r=»***-fii*; ( 22 ) Tan.0=tan.0-gr * /; (23) teyD; (24) v=^. (25) Knowing the weight and diameter of the projectile, c can be calculated by the formula c=~- — if it be SgA not found in the table which accompanies it. We x V know - and — , and by means of the tables can deter- c r mine the desired values of B, I, D, and TI. Of the three things, the initial velocity, J 7 ", the dis- tance of the object, X, and the angle of projection, , two being known, to determine the third. 1st. To determine the angle of projection, =-——. == 1.449. = 0.01864. = Z loUO 1° 05'. 2d. To determine the initial velocity, V, make y=0, in equation (22), solve it with reference to V, and mul- tiply both members by -, we have. )/~B~ t V 2 tan.0~~2* X Having the values of — and q, seek in table (5) for G X V the value of — , the value of — , which gives that of q ; c r multiply — by 1427 and we shall have V. r Example.— Find the initial velocity of a 12-pounder shot which, fired under an angle of 1° 05', has a range of 1800 feet. 1 / 16.08 x 427 y 0.0181 1800 :0.8732. 1427 V 0.01864 — = 1.05. F=1.05 x 1427=1498.35 feet. r 3d. To determine the range, X. — Make y=0 in equa- tion (22), obtain the value of X, and divide both mem- bers of the equation by g, we have, X-n tan.* V 2 — Jj— —p. g c\g FIRST CLASS. 417 Having the initial velocity, FJ and angle of projec- tion, 0, we can determine, — and p; seek in table (4), V X for the value of — , that of — , which gives p; having y c X _, multiply it by = 0.0 1864. r 0.01864 1500 rt „„. , £ . . . ., X KO , A v co . A Vx= . = 0.774; (from table 4), — = .5340; X— .5340 3370 16.08 v ! c X 3370=1800 feet. The slight discrepancies in the three preceding results, arise from the neglected decimals. In firing spherical case-shot, it is important not only to know the time of flight, in order to regulate the fuze, but it is important to know that the projectile will have sufficient remaining velocity to render the impact of the contained projectiles effective. 4th. The time of flight can be obtained from equa- tion (24), or, t= -=jd). Knowing — and — , we can ob- tain the corresponding value of D from table (3). Example. — Find the time of flight of a 12-pdr. spherical case-shot for a distance of 1500 yards, the initial velocity being 1500 feet. *^f<» 1.335 J Z = 1 ^° = 1.051 J i> = 1.859. c 3370 r 1427 *=1^ ) 1.859=5.58 seconds. 1500 5th. The remaining velocity can be obtained from 27 418 SCIENCE OF GUNNERY. TRAJECTORY IN AIR. equation (25), or, v—--. Knowing — and — , obtain ± \ /•> jj c r from table (3) the corresponding value of U. Example — Find the remaining velocity of a 12-pdr. spherical case- shot at the distance of 1500 yards, the initial velocity being 1500 feet. *,!!??_l.a27; .t^J.051; ^=2.882; ,-**» =520 feet. c 3370 r ' 2.882 This velocity is more than sufficient for a musket-bullet to disable an animate object at the distance of 1500 yds. 423. 2 *= *,* A (28) V cos.0 v 7 •=-5=£ (29) (Tcos.0 If the object be on a level with the piece, the solu- tion of this class of problems is the same as those of class 1st, when the angle is very small ; if not, it will be necessary to substitute for V, V / = F^cos. , and after having obtained V n divide it by the cos. 0, which gives V. The object being situated at the distance a from the piece, and at the distance b above the horizontal plane passing through the centre of the muzzle, is seen under an angle of elevation e, for which tan.e=-. One of the SECOND CLASS. 419 two things, the initial velocity or angle of projection being known, to determine the other. 1st. To determine the initial velocity, V. Substitute in equation (26) the co-ordinates a and b, and V n ' solve it with reference to V J / substitute tan. e for -, and di- a vide both members by r, we have, V 1 / f* VB ry tan.(/> — tan.e q ' Having the value of q, seek in table (5) for the known value of -, the value of — i corresponding to it, and mul- tiplying by , we shall have V. COS.0 Example. — Find the initial velocity of an 8-inch siege-howitzer shell, which, being fired under an angle of 12°, will strike an object situated 1,000 feet from, and 20 feet above, the muzzle of the piece. 20 Tan.0=O.2125; tan.e= — —=0.0200; tan.— tan.e=0.1925 ; coa.0-0.9781; i_"™ 0.2801; f -JL , /™Z?JW^ c 3570 * 1427 Y .1925 V _ 0.2150. 1427 „ no . . 0.2023; —^ = 0.2150; V== — -— — =313 feet. 2d. To determine the angle of projection. The result will be sufficiently near the truth, if we substitute, in equation (26), Ffor V n or V cos. ; and solving it with reference to tan. 0, we have, tan.0=tan. e+ *L= B, in which we substitute for B its value, corresponding to _ and — , obtained from table (1). 420 SCIENCE OF GUNNERY. TRAJECTORY IN AIR. Example. — What angle of projection is necessary for an 8-inch siege-howitzer shell to strike an object situated 1000 feet from, and 20 feet above, the muzzle ? The initial velocity being 313 feet, a 1000 V 313 20 F=313 feet; -=-—=0.2801; -=-—— = 0.2193; tan.e= — — ' c 3570 ' r 1427 1000 16.08.1000 = 0.0200; tan. 0=0.0200+ —-= 1,142 = 0.2084; 0=11° 28 . 313 2 424. 3d cia§§. Properties of trajectories under high angles of projection. As a projectile rises in the ascending branch of its trajectory, its velocity is diminished by the retarding effect of the air and the force of gravity : in consequence of the resistance of the air alone, the velocity continues to diminish to a point a little beyond the summit of the trajectory, where it is a minimum ; and from this point it increases, as it descends, under the influence of the force of gravity, until it becomes uniform, which event depends on the diameter and weight of the pro- jectile and the density of the air, or, in other words, upon the value of c. The inclination of the trajectory decreases from the origin to the summit, where it is nothing ; it increases in the descending branch from the summit to its ter- mination, and if the ground did not interpose an ob- stacle, it would become vertical at an infinite distance. An element of the trajectory in the descending branch has a greater inclination than the corresponding element of the ascending branch. Strictly speaking, the trajectory in air is an expoten- tial curve with two asymptotes; the first is the axis of the piece, which is tangent to the trajectory when the initial velocity is infinite ; the second is the vertical line toward which the trajectory approaches as the horizon- THIED CLASS. 421 tal component of the velocity diminishes, and the effect of the force of gravity increases. The curvature of the trajectory increases in the as- cending branch, to a point a little beyond the summit. The point of greatest curvature is situated nearer the summit than the point of minimum velocity. In the fire of mortar shells under great angles of pro- jection, and at customary distances, the trajectory may be considered as an arc, in which the angle of fall is slightly greater than the angle of projection. In the ascending branch, the arc commences under an angle of 0, and terminates under an angle of ; the ratio of the length of this arc to its projection, or a, is calculated for all arcs from 5° to 75°, and arranged, in groups of fives in the accompanying table. The value of a is considered the same in the descend- ing as in the ascending branch. ARCS. a ARCS. a ARCS. a 5° 1.00127 30° 1.05306 55° 1.27583 10 1.00516 35 1.07596 60 1.38017 15 1.01184 40 1.10730 65 1.53433 20 1.02*165 45 1.14777 70 1.77772 25 1.03514 50 1.20189 75 2.20349 The multipliers, B, I, D, and the divisor, U, are cal- culated for the values — and -. and they are em- c r ' J ployed in equations (26), (27), (28), (29), as in the preceding class of cases. 1st. Find the initial velocity of a mortar shell, know- ing the range and angle of projection. We know — , and by solving equation (26) as before, c 422 SCIENCE OF GUNNERY. TRAJECTORY IN AIR. we have. r r V tan.<£ * Having determined the value of q, seek in table (5) the value of — 'corresponding to it for — ; then V C multiply it by , and we have V. r J J a COS.0 7 Example. — What initial velocity is necessary to project a 10-inch shell 1,800 feet, under an angle of 45°? For a 10-inch shell, cr=r4677; for 45°, a = 1.148; — = c 1.148.1800 1.148 = 0.4418; q 4677 ' * 1427 / 16.08. 1800 „ 10 ^ ., A \ / , nnnn —0.1369. By th( y l.oooo : aV aid of table (5) we find ^^0.1490 ; and from this we get Tr 0.1490.1427 nn m A v = , , ,» „*«», = 2 62 feet. 1.148.0.7071 2d. To determine the angle and velocity of fall, and the time of flight, knowing the initial velocity and range. Let the projectile be the same as in the preceding case. Example. — We have — =0.4418 ; and ^ = 0.1490 ; from ta- ble (1) we have /= 1.291 ; from table (2), D = 1.121 ; and £7=1.272. Substituting the proper values in equation (25) we have oo 1 *1 1 800 Tan. 0= 1.0000- 262=/?. c gc X V Having found the value of c - , which for - - gives c i p (table 4) ; multiply it by—, and we have X. Example. — Find the range of a 10-inch mortar shell, the angle of projection of which is 45°, and the initial velocity is 262 feet. aV. Cos. = 0. 7071 ; the sin. 20 = 1.0000; and a— 1.148; — == 2 1.148.262.0.7071 aVi . j 1.148.262 , _^ = 0.1490 ; p= — sin.2 = — » • „. 1.0000 = 1427 ' l gc Y 32.17.4677 0.5238 from table (4) --=0.4412 ; X= — =1798 feet. v c ' 1.148 The slight discrepancies in these, as in the preceding results, arise from the neglected decimals. 425. Comparison of true and calculated trajectories. In consequence of considering the inclination of the tra- jectory as constant in the preceding equations, the re- sistance of the air is slightly underestimated in the more inclined portions of the trajectory, or at the be- ginning and end, and slightly overestimated in the less inclined portions, or about the summit. It follows that the calculated trajectory will at first rise above the true one, then pass below it, and again pass above it ; the calculated ranges will therefore be found slightly in excess. 426. Trajectory of oblong projectile. From the law 424 SCIENCE OF GUNNERY. DEVIATION OF PROJECTILES. of inertia, a rifle projectile moves through the air with its axis of rotation parallel to the axis of the bore. Hence, it follows, that an oblong projectile, fired under a low angle of projection, presents a greater surface to- ward the earth, and less parallel to it, than a round projectile of the same weight ; consequently the vertical component of the resistance of the air is greater, and the horizontal component less, in the first case than in the second. The effect of this will be to give an oblong projectile a flatter trajectory and longer range than a round one. DEVIATION OF PROJECTILES. 427. Nature and cau§e§. The path described by the centre of inertia of a projectile, moving under the influ- ence of gravity and the tangential resistance of the air, is called the normal trajectory / and it is this trajectory which has been the subject of the preceding discussions. In practice, various causes are constantly at work to deflect a projectile from its normal path, and it becomes necessary to study the nature of these causes, and their effects. All deviating causes may be divided into two classes — those which act while the projectile is in the bore of the piece, and those which act after the projectile has left it. The first class includes all the causes which affect the initial velocity, and give rotation to the pro- jectile ; the second includes the action of the air. 428. Causes which affect initial velocity. The princi- pal causes which affect initial velocity are variations in the weights of the powder and projectile, the manner ROTATION. 425 of loading, the temperature of the piece, and the ballot- ing of the projectile along the bore. Experiments made by firing siege and field projectiles into the ballistic pen- dulum, show that, with care, the mean variation in the initial velocity, in a series of fires, doe3 not exceed 20 feet. A variation of 20 feet in initial velocity only produ- ces a variation of £ a foot, in the vertical height of the trajectory of a 12-pdr. ball, at a distance of 1,000 yards. 429. Rotation. The principal cause of the deviation of a projectile is its rotation combined with the resist- ance of the air. It is proposed, in the first place, to show how rotation may be produced, and, in the sec- ond, to show how rotation, combined with the resist- ance of the air, produces deviation. By balloting. If the projectile be spherical and ho- mogeneous, rotation is produced by the bounding or balloting of the ball in the bore, arising from the wind- age. In this case the axis of rotation is horizontal, and passes through the centre of the ball ; the direction of rotation depends on the side of the projectile which strikes the surface of the bore last ; if it strike on the upper side, the front surface of the projectile will move upward; if on the lower side, this surface will move downward. The velocity of rotation from this cause depends on the windage, or depth of the indentations in the bore, the charge being the same. It has been found to be, for ordinary windage, about 30 feet for a 24-pdr. shell fired with 2f lbs of powder. By eccentricity. If, from the structure of the ball, or from some defect of manufacture, the centre of grav- ity do not coincide with the centre of figure, rotation 426 SCIENCE OF GUNNERY. DEVIATION OF PROJECTILES. generally takes place around the centre of gravity. This arises from the fact that the resultant of the charge acts at the centre of figure, while inertia, or re- sistance to motion, acts at the centre of gravity. The axis of rotation passes through the centre of gravity, and is perpendicular to a plane containing the resultant of the charge and the centres of figure and gravity. For the same charge, the velocity of rotation is proportional to the lever arm, or perpendicular, let fall from the cen- tre of gravity to the resultant of the charge. Knowing the position of the centre of gravity of the ball in the bore, it is easy to foretell the direction and velocity of rotation. In general terms, the front surface of the projectile moves toward the side of the bore on which the centre of gravity is situated, and the velocity of rotation is greatest when the line joining the centres of gravity and figure is perpendicular to the axis of the bore. The position of the centre of gravity of a projectile is found by floating in a mercury bath ; and by an in- strument called the eccentrometer. The topmost point of the surface, when the projectile has settled to a state of rest in the bath, marks one point at which the line joining the centre of gravity and figure pierces the sur- face ; the position of the centre of gravity along this line is determined by the eccentrometer, which is a pe- culiar kind of balance. w being the weight of the projectile, and x the distance of its centre of gravity from the fulcrum of the balance, and w being the weight necessary to balance the projectile, and a its distance from the fulcrum, we have, from the equality of the moments— THE EFFECT OF KOTATION. 427 . aw aw =zw%. or x=. w The position of the projectile on the balance being known, by placing the marked point on the surface nearest the fulcrum, the position of the centre of grav- ity becomes known; for if b be the distance of the marked point from the fulcrum, and r the radius of the projectile, x—b—r is the distance between the centres of gravity and figure. 430. The effect of rotation. The effect of rotation in producing deviation, may be studied under three heads: 1st. When the projectile is spherical and concentric. 2d. When it is spherical and eccentric; and 3d. When it is oblong. Concentric projectiles. The simplest case is that of a homogeneous spherical projectile, rotating around a ver- tical axis passing through the centre of gravity. Let A B D represent the great circle cut out of the sphere perpendicular to the axis of rotation, and suppose rotation to take place in the direction A C B, and the motion of translation in the di- rection A B ; it is evident that each point of the circle moves in the direction A B, with a ve- Fig. iSS! locity which is equal to the velocity of translation, plus or minus the component of its velocity of rotation in the direction of the axis A B, which is equal to the projection of the arc over which the point moves in a unit of time, on the line A B. The points <7and D have the greatest velocity in the direction of this line, A B, and the points A and B the least. All the points 428 SCIENCE OF GUNNERY. DEVIATION OF PROJECTILES. in the semi-circle A C B rotate in a forward direction, and the components of their velocities of rotation must be added to that of translation ; while the points in the semicircle B D A move backward in rotation, and the components of their velocities must be subtracted from it. A body moving in the air draws with it a film of the particles which surround it, and these particles set in motion the adjacent particles, and so on from one layer to another ; the number of particles set in motion and their reaction on the surface of the projectile, de- pend on the velocity of the moving surface; now it has been shown that the surface A O B moves with a greater velocity than the opposite side, the reaction, or pressure upon it, must be greater than upon the latter, and the projectile will be urged in the direction C D. Eccentric projectiles. Let A G B D represent the great circle cut out of an eccen- tric projectile perpendicular to the axis of rotation, and contain- ing the centre of figure O, and the centre of gravity O'. Sup- pose the motions of rotation and Fi s- 139 - translation to take place as in the preceding case, it follows that the same cause will operate in this, as in the preceding case, to deviate the projectile in the direction CD; but there is another and more powerful cause operating to deviate the pro- jectile in the same direction, and that is, the greater pressure on the side A C B arising from the greater surface offered to the air in consequence of the eccen- tricity. Prof. Magnus 1 apparatus. These phenomena may be THE EFFECT OF ROTATION. 429 easily illustrated by the very simple and ingenious ap- paratus devised by Prof. Magnus, of Berlin. Let C (fig. 140) represent a light brass cylinder, delicately susj>ended in a ring, and made to revolve rapidly around its vertical axis, by means of a string, after the man- ner of a top ; let this ring be suspended at the extremity of a wooden lever I>\ which, in turn, is suspended by a delicate wire from the ceiling, so that it may rotate freely in a horizontal direction ; let Pbea counterpoise, and R the direction of a strong current of air blowing upon the cylinder from a fan-blower. It is invariably found, that the axis of the cylinder will move in the opposite direction from the side which is moving toward the current of air from the blower (see direction of the arrows) ; but if there be no rota- tion of the cylinder, the axis will remain stationary. Conclusions. If a projectile be spherical and concen- tric, rotation takes place from contact with the surface of the bore around a horizontal axis, and the effect will be to shorten or lengthen the range, as the motion of the front surface is downward or upward. If the projectile be eccentric, the motion of the front surface is generally toward the side on which the centre of gravity is situated, and the deviation takes place in this direction. The extent of the deviation for the same charge, de- pends on the position of the centre of gravity; the horizontal deviation being the greatest when the centres of gravity and figure are in a horizontal plane, and the 430 SCIENCE OF GUNNERY. DEVIATION OF PROJECTILES. line which joins them is at right angles to the axis of the piece ; the vertical deviation will be the greatest when these centres are in a vertical plane, and the line which joins them is at right angles to the axis of the piece. If the axis of rotation coincide with the tangent to the trajectory throughout the flight, all points of the surface have the same velocity in the direction of the motion of translation, and there will be no deviation. This explains why it is that a rifle-projectile moves through the air more accurately than a projectile from a smooth-bored gun. In the experiments of Major Wade with 32-pdr. field- shells, made purposely eccentric, the difference of the extreme lateral deviations, produced by placing the centre of gravity first on one side and then on the other, amounted to 100 yds., or one-fourth of the entire range. The experiments of Captain Dahlgren with service 32- pdr. balls, show the following results when the centre of gravity is placed in different positions in the verti- cal plane through the axis of the bore. POSITION OF CENTRE OF QRAVITY IN VERTICAL PLANE. 90° up. 90° down. Inward. 45° up. and in. 1415 yds. 1264 yds. 1329 yds. 1360 yds. In accurate firing, therefore, it is important to know the true position of the centre of gravity : in ricochet firing over smooth water, the number of grazes may be increased or diminished by placing, in loading, the cen- tre of gravity above or below the centre of figure. The first person to call attention to the deviation DEVIATION OF OBLONG PROJECTILES. 431 produced by rotation, was Kobins, who illustrated it by bending a musket-barrel to the right, and firing through a succession of paper screens ; the projectile was observed to deviate, first to the right, in the direction in which the muzzle was pointed, and then to the left, in the opposite direction from the side of the projectile which rotates toward the front. 431. deviation of oblong projectiles. The cause of the deviation of an oblong rifle pro- jectile is quite different from one of spherical form. An oblong projec- tile moving in the air is acted upon Pig. 141. D y two rotary forces, viz. ; one which gives it its normal rotary motion around its axis of pro- gression, and another the resistance of the air, which, in consequence of the deflection of the axis of progression from the tangent to the trajectory by the action of grav- ity, does not pass through the centre of inertia, but above or below it, depending on the shape of the pro- jectile. From a law of mechanics, a body thus circum- stanced, will not yield fully to either of the forces that thus act upon it, but its apex will move off with a slow uniform motion to the right or left of the vertical plane, depending on the relative direction of the two rotary forces. If the action of these forces be contin- ued sufficiently long, it will be seen that the axis of the projectile before referred to, describes a cone around a line passing through the centre of inertia and parallel to the direction of the resistance of the air. Owing to the short duration of the flight of an ordi- nary projectile, it is only necessary to consider the first part of this conical motion. If the projectile rotates in 432 SCIENCE OF GUNNEKY. DEVIATION OF PEOJECTILES. the direction of the hands of a watch to the eye of the marksman, and the resultant of the resistance of the air pass above the centre of inertia, as it does in the service bullet with a conoidal point, see fig. 141, then the point of the projectile will move to the right, which brings the left side of the projectile obliquely in contact with the current of the air. The effect of this position with reference to the air, will be to generate a component force that will urge the projectile to the right of the plane of fire, as a vessel sailing on the wind has a mo- tion to the leeward. If the bore be grooved with a left-handed twist, the deviation will be to the left of the plane of fire, as has been shown by actual experiment. This peculiar devi- ation was called by the French officers that first observed it, " derivation" or " drift." That it is not produced by the effect of the recoil on the shoulder of the marksman, 1 as some assert, is shown by the fact that drift increases more rapidly than the distance. The following table gives the drift at different dis- tances, for the French rifle, model of 1842, with a twist of 4.37 feet, and a bullet with a single groove : Distances in yards. 218 328 437 546 656 165 874 984 1093 1312 1421 Drift in feet and inches. .5" l'.l" 1'.9" 1 2'.0"U'.9" 7'.6" 11'.6" 16'.1" 21'.0" 38'.4" 50'.6" In consequence of the reduced calibre and twist, the drift of our present rifle-musket projectiles is less than the foregoing. The mean drift of 40 shots fired from two service rifle-muskets, at a distance of 1,150 yds., in SUMMARY OF DEVIATING CAUSES. 433 a perfectly calm day, was about 18 feet; not a single shot deviated to the left of the point aimed at.* 432. Effect of wind. The deviating effect of wind depends on its force, and its direction with regard to the plane of fire ; generally speaking, large and heavy projectiles, moving with high velocities, are deviated less than those of contrary character. It is difficult to calculate the effect of the wind in any particular case ; in making allowance for it, therefore, the gunner should be guided by experience and judgment. For the same projectile, velocity, and wind, the deviation varies nearly as the square of the range. 433. Summary of deviating causes. The following summary may be considered as embracing nearly all the causes of deviation of cannon and small-arm projectiles. 1st. From the construction of the piece. These causes are, wrong position of the sight ; bore not of the true size; crooked barrel; too hard on the trigger; wind- age ; the recoil ; and spring of the barrel. 2d. From the charge of powder. Improper weight; form of grain and variable quality of the powder ; in- jury from dampness; more or less ramming; sticking along the bore from foulness and dampness. 3d. From the projectile. Not of the exact size, shape, or weight ; disfiguration in loading, or on leaving the bore; eccentricity. 4th. From the atmosphere, &c. The effect of wind ; variations in the temperature, moisture, and density of * The subject of drift has been fully exposed in a learned analytical investigation by General Barnard, of the engineer corps, who shows that it is a particular case of the gyroscope. It has also been explained experimentally by Professor Magnus, of Berlin, a copy of whose apparatus may be found in the Museum of the United States Mili- tary Academy. 28 434 SCIENCE OF GUNNERY. DEVIATION OF PROJECTILES. the air; position of the sun as regards the effect on the aim; difference of level between the object and piece ; and rotation of the earth. The latter source of deviation arises, 1st. From the fact that all points on the surface of the earth, not in the same parallel of latitude, move with different angu- lar velocities; and 2d. That when a body is thrown from one point to another, it carries with it the angu- lar velocity with which it started. Applying these facts, it is found that a projectile will deviate to the right of the object, whatever may be the direction of the line of fire, and at a distance from it, depending on the latitude of the place, and on the time of flight and the range of the projectile. Poisson has shown that a 12-inch shell weighing 200 lbs., fired under an angle of 45°, with an initial velocity of 900 feet, will deviate from 15 to 20 feet to the right of the object — the range being about 4,400 yards. USE OF PROJECTILES NOT SUITED TO THE BORE. 435 CHAPTER IX. LOADING, POINTING, AND DISCHARGING FIRE- ARMS. 434. Loading. In loading guns and howitzers, the powder is carefully put up in a cartridge-bag of woollen cloth, which is either attached to, or carried separate from the projectile, depending on the weight of the projectile. In ramming a charge, only a sufficient force should be used to send it home, as the space which the powder occupies affects the initial velocity. In loading mortars, the powder is poured from the cartridge-bag into the chamber, and levelled with the hand ; the shell is then carefully lowered upon it with the hooks. 435. Precautions. After a piece has been discharged the bore should be well sponged, to extinguish any burning fragments of the cartridge that may remain ; and to prevent the current of air from fanning any burning fragments that may collect in the vent, it should be kept firmly closed with a thumb-stall in the operation of sponging. Experience shows that the use of a wet sponge is dangerous, as it contributes to form, from the fragments of the cartridge-bag, a substance which retains fire. 436. Use of projectiles not suited to the bore. It may be sometimes necessary to fire projectiles that are either very much smaller or larger than the bore. If it be desired to use a gun-shell, or solid shot, which 436 LOADING AND POINTING FIKE-AKMS. is much smaller than the bore, it is strapped to a stout sabot which fits the bore ; if a mortar-shell, it is placed in the centre of the bore by means of wedges, and the surrounding space is filled up with earth. Mortar-shells are fired from guns and howitzers, by digging a hole in the ground about 20 inches deep, and placing in it two pieces of stout plank inclined at an angle of 45°, for the support of the breech ; the chase is supported on a movable wedge, which rests on skids firmly secured with platform stakes;* the charge of powder is then inserted in the bore, and the projectile is placed on the muzzle, and secured by passing strings over it, and tying their ends to a rope, which encircles the neck of the chase. Pieces fired in this way should be elevated 40° or 45°; thus situated, the fuze of the 8-inch mortar-shell takes fire from very small charges ; but the 10-inch fuze should be primed with strands of quick-match, which are allowed to hang over the sides of the shell. POINTING. To point or aim a fire-arm is, to give it such direction and elevation that the projectile shall strike the object. To do this properly, it is necessary to understand the relations which exist between the line of sight, line of fire, trajectory, &c. 437. I>eflnition§. The line of sight is the right line containing the guiding points of the sights. The sights are two pieces, A and B, on the upper surface of the * Pieces that have been disabled by breaking off a trunnion, may be fired in this manner. DEFINITIONS. 437 Fig. 142. gun, the situation of which with regard to the axis of the bore is known. The front sight is situated near the muzzle, or on the right rimbase, and is generally fixed ; the rear sight is placed near the breech-sight, and is movable in a vertical, and sometimes in a horizontal di- rection. The natural line of sight is the line of sight nearest the axis of the piece ; the others are called arti- ficial lines of sight. The line of fire is the axis of the bore prolonged in the direction of the muzzle, or CD. The angle of fire is the angle included between the line of fire and horizon; on account of the balloting of the projectile, the angle of fire is not always equal to the angle of departure, or projection. See section 268. The angle of sight is the angle included between the line of sight and line of fire ; angles of sight are divided into natural and artificial angles of sight, cor- responding to the natural and artificial lines of sight which enclose them. The plane of fire is the vertical plane containing the line of fire. The plane of sight is the vertical plane containing the line of sight. The point-blank is the point at which the line of sight insersects the trajectory, or P. Strictly speaking, the line of sight intersects the trajectory at two points, C 438 LOADING AND POINTING FIRE-ARMS. and P / but, in practice, the j)oint P is only considered. The distance, B P, is called the point-blank distance. The natural point-blajik corresponds to the natural line of sight ; all other point-blanks are called artificial point-blanks. In speaking of the point-blank of a piece, the natural line of sight is supposed to be hori- zontal. In the British service, the point-blank distance is the distance at which the projectile strikes the level ground on which the carriage stands, the axis of the piece be- ing horizontal. It is evident that this definition of point-blank distance conveys a better idea of the power of the piece than the former, which makes it depend on the form of the piece, as well as on the charge. As the angle of sight A C C is increased, the point- blank distance is increased ; as it is diminished, the in- tersections of the line of sight and trajectory approach each other until they unite, when the line of sight and trajectory are tangent to each other ; beyond this, the point-blank is imaginaiy. As the angle of fire increases, the force of gravity acts more in opposition to the force of projection, and the point-blank distance is diminished, until at 90° it becomes zero. Under an angle of depression, the force of gravity acts more nearly in the direction of gravity, and the point-blank distance is increased, becoming in- finite when the angle of depression is equal to 90° minus the angle of sight. In ordinary firing, it is not considered that the trajec- tory changes its position with reference to the lines of sight and fire, for angles of elevation and depression, less than 15°. In aiming at an object, therefore, the POINTING GUNS AND HOWITZERS. 439 angle of elevation of which is less than 15°, aim as though it were in the same horizontal plane with the piece. For the same piece, the point-blank distance in- creases with the charge of powder; for the same initial velocity, a large projectile has a greater point- blank distance than a small one ; a solid shot than a hollow one ; an oblong projectile than a round one ; or, in other words, it varies with the value of c, before re- ferred to. Range is the distance at which a projectile first strikes the ground on which the carriage is situated ; extreme range is the, distance to the point at which the projectile is brought to a state of rest. ; 438. Pointing guns and howitzers. In pointing 2- «* guns and howitzers under ordinary angles of elevation, &*•»• the piece is first directed toward the object, and then elevated to suit the distance. The accuracy of the aim depends — 1st. On the fact that the object is situated in the plane of sight; 2d. That the projectile moves in the plane of fire, and that the planes of sight and fire coincide, or are parallel and near to each other; and 3d. On the accuracy of the elevation. The first of these conditions depends on the eye of the gunner, and the accuracy and delicacy of the sights ; the errors under this head are of but little practical im- portance. When the trunnions of the piece are horizontal, and the sights are properly placed on the surface of the piece, the planes of sight and fire will coincide; but when the axis of the trunnions is inclined, and the natural line of sight is oblique to the axis of the bore, the planes are neither parallel nor coincident, and the ^4 440 LOADING AND POINTING FIRE-ARMS. aim will be incorrect. If the natural line of sight be made parallel to the line of fire, by making the height of the front sight equal to the dispart of the piece, the planes of sight and fire will be parallel, and at a dis- tance from each other equal to the radius of the breech multiplied by the sine of the angle which the axletree makes with the horizon. To show this, let the circle A C B D represent the section of the breech of the piece taken at right angles to the axis, and C the projection of the natural line of sight upon this plane; let A' B' be the inclined position of the axletree, or trunnions, C marks the revolved position of the natural line Fig - 143 ' of sight, and C D' the trace of the plane of sight, which is parallel to C Z>, the trace of the plane of fire. As the lines of sight and fire are paral- lel in their revolved position, the planes of sight and fire must also be parallel. The angle COC' = BOB\ therefore CC'= OC' sin. BOB', It is easily seen that with this arrangement of the front sight, the error of pointing can never exceed the radius of the breech. By an inspection of the figure, it will also be seen, that in the revolved position of the line of sight, the eleva- tion is diminished by a small quantity, which is equal to the versed sine of the arc CO. By referring to the construction of the pendulum hausse, on page 255, we see that if its centre of motion coincide with the point C\ and the scale coincide with the line C JD', the error of aiming with an artificial line of sight is practically no greater than with the natural line of sight. POINTING GUNS AND HOWITZERS. 441 If the natural line of sight be not parallel to the axis of the piece, the planes of sight and fire intersect at a short distance from the muzzle ; hence, it follows, that as the object is situated in the plane of sight, the projectile will deviate from the object to the side on which the lower wheel is situated, and at a distance from it, which is proportional to the distance of the object from the piece; to correct for this source of error, the line of sight should be pointed to the side of the higher wheel, and at a distance from the object, which is proportional to the distance of the object from the piece. Siege and sea-coast cannon are generally fired from fixed platforms, which renders the axis of the trunnions horizontal ; they are, therefore, not furnished with pen- dulum sights. In case the axis of the trunnions is not horizontal, and the piece has not a pendulum hausse, the highest points of metal at the breech and muzzle may be de- termined by the gunner's level (see page 254), and marked with chalk ; the centre line of the tangent scale, or breech-sight, is placed on the mark at the breech, the slider is placed at the proper elevation, and the aim is taken along the notch of the slider and the mark on the muzzle. This method, however, does not give a perfectly accurate aim. In the absence of a breech-sight, the piece can be pointed with the natural line of sight so as to strike objects not situated at point-blank distance; if the object be within point-blank range, as at P" (fig. 142), the natural line of sight should be depressed be- low the object as much as the trajectory is above it ; if 442 LOADING AND POINTING FIRE-ARMS. it be beyond point-blank, as at P\ the natural line of sight should be directed to a point JI, which is as much above the object, as the point H\ of the trajectory, is below it. Owing to the shape and size of the reinforce of sea- coast cannon, the natural line of sight is formed by affixing a front sight to the muzzle, or to a projection cast on the piece between the trunnions. Although the latter arrangement does not give quite so long a distance between the sights as is desirable, it permits the use of a shorter breech-sight, and the front sight does not interfere with the roof of the embrasure, when the piece is fired under high elevation. 439. Pointing mortars and small-arm§. In pointing small-arms and mortars, the piece is first given the ele- vation, and then the direction necessary to attain the object. Pointing mortars. Mortars are generally fired from behind epaulements, which screen the object from the eye of the gunner. The elevation is first given by a gunner's quadrant, applied as described on page 256 ; and the direction is given by moving the mortar-bed with a handspike, so as to bring the line of sight into the plane of sight, which, by construction, passes through the object and the cen- tre of the platform. The plane of sight may be deter- mined in several ways; the method prescribed is to plant two stakes, one on the crest of the epaulement, and the other a little in advance of the first, so that the two shall be in a line with the object, and the gunner stand- ing in the middle of the rear-edge of the platform ; a cord is attached to the second stake, and held so as to POINTING MORTARS AND SMALL-ARMS. 443 touch the first stake ; a third stake is driven in a line with the cord, in rear of the platform, and a plummet is attached to this cord so as to fall a little in rear of the mortar. It is evident that the cord and plummet determine the required plane of sight into which the line of sight of the mortar must be brought. The usual angle of fire of mortars is 45°, which cor- responds nearly with the maximum range. The advan- tages of the angle of greatest range are : 1st. Economy of powder; 2d. Diminished recoil, and strain on the piece, bed, and platform ; 3d. More uniform ranges. When the distance is not great, and the object is to penetrate the roofs of magazines, buildings, i: C" : C, or, for the same difference between the angle of fire and the angle of elevation of the object, the charges are pro- portional to the distances. In arriving at the foregoing rules, we have committed three errors: 1st. Supposing the sides of the triangles proportional to the angles. 2d. Considering the re- sistance of the air nothing; and, 3d. That the initial velocities are proportional to the square roots of the charges. The errors resulting from these suppositions are not only small in themselves, but the 2d and 3d are of a nature to counteract each other. By means of the foregoing relations suitable charges can be calculated for every case of practice, when we know the charge corresponding to a given distance, and to a given difference between the angle of fire and the angle of elevation of the object. Represent by C the charge corresponding to a distance, B\ and to a differ- ence, JE\ between the angle of fire and the angle of ele- vation of the object; we have the charge, (7, corre- sponding to the distance, B, and the difference, BJ, be- tween the two angles, by means of the formula C~ D x C ' E ' 458 DIFFEKENT KINDS OF FIRES. The factor, is a constant number for each cali- bre. This number may be considered as the charge corresponding to the distance of 1 yard, and to a differ- ence of 1° between the angle of fire and of elevation of the object. For the French 8-inch siege howitzer, the value of this factor has been found by careful experiment to be 0.31 oz. Making an allowance for difference of weight of projectile and unit of distance, it becomes 0.28 oz. for the American 8-inch siege howitzer. Example. — Find the angle of arrival, angle of fire, and charge of powder, necessary to hit, with an 8-inch howitzer shell, a point on a terreplein, 12 yards behind a traverse which is 2.5 yards high and 350 yards from the battery — the angle of elevation of the crest being 1°, and the command 6 yards. For the angle of arrival we have B C 60° x 2.5 ^ 60 ^ == -T2-= 12 ° 30 '- For the angle of fire we have 0==a + 2f=12° 30-f2°==14 o 30'. For the charge we have „ D 350. tf=^0.28oz. ==—-0.28 = 7.25 oz. Hj » lo.O 449. Roiling fire. Rolling fire is a particular case of ricochet fire, produced by placing the axis of the piece parallel, or nearly so, with the ground. It is generally used in field service. When the ground is favorable for ricochet, the projectile, in rolling fire, has a very long range, and never passes at a greater distance above the ground than the muzzle of the piece; it is therefore more effective than direct fire, as may be seen by in- specting ^g. 150. EFFECT OF FIRE IN GENERAL. 459 Fig. 150. To point a piece in rolling fire, direct it at the object, and depress the natural line of sight so as to pierce the surface of the ground about 80 yards in front of the muzzle; if the piece be sighted for the pendulum hausse, aim directly at the object with the lowest line of sight, or with the slider fixed at the zero point of the scale. 450. Plunging fire. A fire is said to be plunging when the object is situated below the piece. This iire is par- ticularly effective against the decks of vessels. 451. Effect of fire in general. Before proceeding to describe the fires of different kinds of projectiles, it may be proper to explain what is meant by accuracy of fire, and to determine a suitable measure for it. It has been seen that there are causes constantly at work to deviate nearly every projectile from its true path. As the effect of these deviating forces cannot be accurately foretold, there is only a probability that the projectile will strike the object against which the piece is pointed. The de- gree of probability is called accuracy of fire. For all projectiles of the same nature, the chance of hitting an object increases with the velocity and weight of the projectile, whereby the effects of the deviating forces are diminished ; it also increases as the size of the object is equal to, or greater than, the mean deviations, and as the trajectory more nearly coincides with the line of sight. If the size of the object be greater than the extreme deviation, and the trajectory coincide with the 460 DIFFERENT KINDS OF FIRES. line of sight, the projectile will be certain to hit the object at all distances. 452. Measure of deviation. For the same trajectory, therefore, the mean deviation of a projectile at a given distance may be taken as an indirect measure of its ac- curacy at this distance. To obtain this mean deviation, let the piece be pointed at the centre of a target, stationed at the re- quired distance, and fired a certain number of times — say ten — and let the positions of the shot-holes, meas- ured in vertical and horizontal directions, be arranged in the following tabular form : o i 1 Distances from centre of target, in feet. Distances from centre of impact, in feet Vertical. Horizontal. Vertical. Horizontal. Above. Below. Eight. Left. Above. 1 Below. Eight Left. 1 2 3 3 6 1 4 2 2 4.33 ' 4.66 .33 j 2.66 .66 3.33 3 1 6 2 4.66 4.66 3.33 3 33 4-^3 = 1.33 4-^3 = 1.33 9.32 -^ 3 = 3.1116.66 -4-8= 2.22 The algebraic sum of the distances in each direction, divided by the number of shots, gives the position of the centre of impact in this direction. In the above table the position of the centre of impact is found to be 1.33 ft. below, and 1.33 ft. to the right, of the centre of the target. To obtain the mean deviation, it is necessary to refer each shot-hole to the centre of impact as a new origin of co-ordinates ; and this is done by subtracting the tabular distance from the distance of the centre of impact, if both be on the same side of the DEVIATIONS. 461 centre of the target, and adding them, if on different sides. The sum of all the distances thus obtained in one direction, divided by the number of shots, gives the mean deviation in that direction ; which in the present case is 3.11 ft. vertically, and 2.22 horizontally. The foregoing affords a measure for the accuracy of fire of the piece and projectile, but it does not afford a measure for marksmanship, the object of which is to di- rect a projectile so as to strike a given point or surface. In target-practice with sporting rifles, the string, or sum of the distances of a certain number of shots, from the point aimed at, is taken as the measure of accuracy. In military arms, marksmanship is measured by the greatest number of projectiles out of a certain number, placed in a target of given size, or placed within a given space surrounding the centre of the target. 453. Targets. Targets for heavy cannon are made of cotton cloth (or light boards) stretched over two upright poles firmly secured in the ground. The size varies with the distance : for 1,000 yards and upward, it should be about 20 feet high and 40 feet long. Targets for the field service are made of the same materials, about 8 feet high, and from 30 to 40 feet long. Targets for small arms, if permanent, are made of cast-iron ; if portable, of a wrought-iron frame cov- ered with cotton cloth. For distances less than 200 yards, they should be 6 feet high and 22 inches broad; beyond this distance, the breadth of a target may be increased by placing two or more of these targets side by side. 454. Deviations. The vertical deviation of a pro- jectile is generally greater than its corresponding hori- 462 DIFFERENT KINDS OF FIRES. zpntal deviation, and this difference increases with the range. As objects against which military projectiles are directed, present a greater extent of surface in a horizontal than in a vertical direction, it "becomes ne- cessary to exercise great care in the selection of the proper angle of fire. If the ground or water in front of the object be favorable to ricochet, the difficulty will be diminished by aiming so that the projectile will strike the object after one or more rebounds. 455. Solid-shot firing. Solid shot are generally used for percussion and penetration, and, when heated to a red heat, for the purpose of setting fire to wooden vessels or buildings. From their great strength, they can be fired with a large charge of powder, which gives them great initial velocity, and having great density, which diminishes the effect of the resistance of the air, they have great range and accuracy. In firing hot shot, the charge should be reduced, to pre- vent too great penetration, which would exclude the air and render combustion impossible. The extreme range of field artillery is about 3,000 yards; it is not very effective, however, beyond 1,700 yards for the 6-pdr., and 2,100 yards for the 12-pdr. At 600 yards the horizontal deviation of the 12-pdr. is about 3 feet, and at 1,200 yards it is about 12 feet. For the 6-pdr. the deviations are somewhat greater at both distances. The service of solid shot demands less skill than that of shells and spherical case-shot, and they are often effective when the latter are rendered non-effect- ive by untimely explosion. 456. Shell-firing. The diameter and velocity of two SHELL-FIRING. 463 projectiles being the same, the retarding effect of the air is inversely proportional to their weight (see page 406) ; hence a shell has less accuracy and range than a solid shot of the same size, in the proportion of 3 to 2 — these numbers representing the weights of a solid shot and shell, respectively. Field s/iells. As shells act both by percussion and explosion, they are particularly effective against ani- mate objects, earthworks, buildings, block-houses and shipping, posts and villages occupied by troops, and against troops sheltered by accidents of the ground; but against good masonry they have but little effect, as they break on striking. Against troops, especially cavalry, they possess a certain moral effect which solid shot do not possess. They are used to form breaches in intrenchments, in which case they act as small mines. The 32-pdr. shell is the most effective field projectile for this purpose; and, when fired with a large charge, has a penetration of from 5 to 8 feet in fresh earth. The extreme range of field shells is from 2,500 to 3,000 yards. The 24 and 32-pdr. shells burst into about eighteen effective fragments, some of which are thrown to a distance of 600 yards. All field shells have considerable lateral deviation; it is stated that the 24-pdr. shell is sometimes deviated as much as 30 yards in 1,200. Mountain shells. The extreme range of the moun- tain howitzer is about 1,200 yards, after three or four rebounds. The 12-pdr. shell employed in this service bursts into twelve or fifteen fragments, some of which are thrown to a distance of 300 yards. 464 DIFFERENT KINDS OF FIRES. Siege shells. The great weight of an 8-inch shell, and the large quantity of powder which it contains, render it a very formidable projectile against the traverses and epaulements of siege works. Sea-coast shells. In sea-coast defence, the 8, 10, and 15-inch shells are very destructive to vessels built of tim- ber. They range from 3 to 3| miles; but the angle which the trajectory makes with the line of sight at this distance (about 40°) renders their fire very uncertain against individual objects of the size of a ship ; but it is presumed that they would have the effect to prevent a blockading fleet from lying at anchor within their range, as it is well known that a single 10-inch shell, striking on the deck of a vessel, has sufficient force to penetrate to the bottom and sink her. The 8-inch shell bursts into 28 or 30 fragments; and from the experiments made at Brest, some years ago, it was inferred that three of four of these shells, properly timed and directed, were capable of disabling a ship of war. Mortar shells are employed to break through the roofs of magazines, inches. The resistance is very much increased by supporting the plate in rear with a mass of stout timber, or some other elastic substance. A plate of wrought-iron 6 feet square and 8 inches thick, standing in an inclined posi- tion against a wall, was broken up by twelve 68-pdr. shots fired with a charge of 16 pounds of powder, at distances of 400 and 600 yards. 3d. Rifle projectiles, having more momentum, are effective at greater distances than round shot. 4th. Though iron-plated vessels have been made which are capable of resisting isolated shots from heavy can- non,* none have yet been made fulfilling all the condi- tions of flotation, stability and manageability, which are capable of resisting a simultaneous and concentrated cannonade of 68-pdr. shot, or of rifle projectiles. Such vessels may afford shelter for their crews for a time, and may pass sea-coast batteries with comparative impunity, but it would not be prudent for them to take up a posi- tion near a place guarded by powerful cannon, for the purpose of cannonading it, more especially if the com- mand of the land-batteries gives a j)lunging fire on the vessels. The results of the numerous trials have induced the English government to construct several plated vessels ; one of which is to serve the double purpose of a frigate * It remains to be determined whether vessels can bo conveniently covered with sufficient thickness of iron to resist the crushing effect of the enormous projectiles of the 15-inch columbiad, or in other words, is it practicable to increase the resist- ance of such iron coverings to keep pace with the increase in the destructive power of projectiles ? Captain Rodman claims, with a show of reason, that if the 15-inch gun bo not sufficient for this purpose, much larger ones can be made, that will suffice. 474 EFFECTS OF PROJECTILES. and steam ram. The sides of this frigate are composed of 20 inches of solid teak-wood, covered on the inside with plates £ inch thick, of the best wrought-iron, and on the outside with plates 4£ inches thick, of the same material. The exterior plates are 15 feet long and 3 wide, and are united together by a tongue and groove joint. Late experiments at Shoeburyness show, that beyond a thickness of f- of an inch, semi-steel plates do not resist the impact of projectiles as well as those made of good wrought-iron, but for less than this thickness, they offer a much greater resistance. It was shown at the same time that, whatever be the angle offered by the surface of the target, the fracture made by the Arm- strong projectiles was the same, although the shape differed somewhat with the angle ; this, probably, was the result of instantaneous concussion. Cast and wrought iron projectiles, fired with high velocities against thick wrought-iron plates, are gen- erally broken by impact, while those of puddled steel and homogeneous iron are not much affected by it. 463. Effect on wood. The effect of a projectile fired against wood varies with the nature of the wood and the direction of the penetration. If the projectile strike perpendicular to the fibres, and the fibres be tough and elastic, as in the case of oak, a portion of them are crushed, and others are bent under the press- ure of the projectile, but regain their form as soon as it has passed by them. It is found that a hole, formed in oak by a ball 4 inches in diameter, closes up again, so as to leave an opening scarcely large enough to measure the depth of penetration. The size of the EFFECT ON EARTH. 475 hole and the shattering effect increase rapidly for the larger calibres. A 9-inch projectile has been found to leave a hole that does not close up, and to tear away large fragments from the back portion of an oak target representing the side of a ship of war, the effect of which, on a vessel, would have been to injure the crew stationed around, or, if the hole had been situated at or below the water line, to have endangered the vessel. If penetration take place in the direction of the fibres, the piece is almost always split, even by the smallest shot, and splinters are thrown to a considera- ble distance. In consequence of the softness of white pine, nearly all the fibres struck are broken, and the orifice is nearly the size of the projectile ; for the same reason, the effects of the projectile do not extend much beyond the orifice ; pine is therefore to be preferred to oak for structures that are not intended to resist cannon pro- jectiles, as block-houses, may be used to 1650 2 d calculate penetrations in wood, for velocities which do not exceed 1,000 feet, making use of the following values of e for penetrations perpendicular to the fibre : For oak of ordinary quality, . . e=.Vl\ " elm, 16 " pine, 23 For velocities exceeding 1,000 feet, the formula just employed gives results which are too large ; from this it is inferred that penetration really increases less rapid- ly than the square of the velocity. Earth. In the experiments made at Metz, in 1834, on various kinds of earths, it was found necessary to modify this expression for penetration. Calling p the weight of the powder, and m the weight of the projec- tile, the expression becomes, for all charges between 4- and T V, _ lo K 1+480x £ )i> y{ l +^^ D ■ E - e log^(l-\-4:S0x^)d~ e , 2.20683 d' The following values of e, for a charge of |, were found for different earths : For sand mixed with gravel, . 6=sl0j- For earth, settled, . . . Wj 480 EFFECTS OF PROJECTILES. Potter's clay, saturated with water, . 36 Light earth newly dug over, . . 32-^ The penetration being given in terms of the weight of the powder and projectile, the piece should be suffi- ciently long to obtain the full force of the charge, or from 17 to 20 calibres; or, in other words, the expres- sion is only suited to field and siege guns. In general, sand, sandy earth mixed with gravel, small stones, chalk, or tufa, resist shot better than the produc- tive earths, or clay, or earth that retains moisture. Water. To obtain penetration in water, replace 480^. by 4800^-, and make e equal to 275 calibres. m m In some late experiments, it was found that the Whit- worth projectile had sufficient force, at short distances, to pass through 33 feet of water and then penetrate 12 or 14 inches of oak beams or scantling. The penetra- tion of a rifle-projectile in water, depends much on the direction of its axis with respect to penetration, for in- stance, penetration rapidly diminishes at long distances, as the axis of the projectile strikes the surface of the water under a diminished angle. 466. Effect on masonry. The effect of a projectile against masonry, is to form a truncated conical hole, terminated by another of a cylindrical form. (See fig. 153.) The material in front of and around the projec- ts- 153 - • tile is broken and shatter- ed, and the end of the cylindrical hole even reduced to powder. Pieces of the masonry are sometimes thrown BREACHING. 481 50 or 60 yards from the wall. The elasticity developed by the shock, reacts upon the projectile, sometimes throwing it back 150 yards, so as to be dangerous to persons in a breaching battery. The exterior opening varies from 4 to 5 times the diameter of the projectile, and the depth, as we have seen, varies with the size and density of the projectile, and its velocity. With charges of -*-, -|, |, and |, a projectile ceases to rebound from a wall of masonry when the angles, formed by the line of fire and the surface of the wall, exceed 20°, 24°, 33°, 43°, respectively. With these angles, the angle of reflection is much greater than the angle of incidence, and the velocity after impact is very slight. When a projectile strikes against a surface of oak, as the side of a ship, it will not stick if the angle of inci- dence be less than 15°, and if it do not penetrate to a depth nearly equal to its diameter. Solid cast-iron shot break against granite, but not against freestone or brick. Shells are broken into small fragments against each of these materials. 467. Breaching. Escalade being ordinarily very dif- ficult, particularly when the besieged are aware of the intention of the besiegers, the latter are generally com- pelled to destroy a portion of the face of the work to obtain an entrance. Such an opening is called a breach; and to effect it with artillery, particularly in a well- constructed work, where no part of the scarp-wall is visible from the adjacent ground, within effective range of siege-cannon, breaching-batteries are established either on the crest of the covered vjay, or on the glacis. When the walls of fortified places were very high and not supported by terraces or ramparts, stone pro- 31 482 EFFECTS OF PKOJECTILES. jectiles were used. From the want of sufficient hardness in these projectiles, the besiegers were forced to com- mence battering at the top of the wall where the least resistance was offered, and gradually to lower the shot until the breach reached the wrecks already formed at the base of the wall. When the style of fortification was changed, this operation became very laborious, the ascent was very steep, and the breach was often imprac- ticable. This method was abandoned and mining sub- stituted. Iron projectiles superseded stone, and then a more rapid mode of effecting a practicable breach was suggested and confirmed by experience. Vauban recommended increasing the size of the hole first formed, by continually firing at its sides until the wall should fall ; but the ball was found to glance into it, and injure but slightly the untouched portion of the revetment. The best mode, however, as found by ex- periment, is to cut the wall up into detached parts, by making one horizontal and several vertical fissures, and battering each part down separately. (Fig. 154.) The easiest mode of making the cut is to direct the shots upon the same line, and form a series of holes (Jig. 154), a Fig. 154. little greater than a diameter apart, and then to fire a second series of shots, directed at the intervals between the first, and so on, until an opening is made completely through the wall. The first cut is made horizontally, and finished, which will be known by the earth falling through it ; the ver- tical cuts are then made, there being one at each end of the intended breach. These cuts are commenced at the BREACHING. 483 horizontal cut, and raised until the wall, isolated from its supports, sinks, overturns, and breaks into pieces, which become covered by falling earth. If the earth be sustained by its tenacity, loaded shells are fired into it, which, acting like small mines, cause it to fall, and make the breach practicable, or of easy ascent. If the portion of the wall between the vertical cuts should not be overthrown by the pressure of the earth behind, it must be detached by a few volleys of solid shot, fired at its centre. This will speedily bring it down in a mass. The moment the wall is down, and the parapet destroyed, the breach will be as perfect, and the slope as easy of ascent, as it can be made by the fire of the batteries. It is important to determine the height of the horizontal cut above the bottom of the ditch, for, if this height be not properly chosen, the breach may be difficult, if not impracticable. If too high, the ramp composed of the debris will be inter- cepted by a portion of the wall ; if too low, the open- ing will be masked by the debris, and the formation of the cut impeded. The most suitable height is nearly equal to the thickness of the wall where the cut is established. The thickness, where not known, can be deduced from the dimensions necessary to be given to the wall, to resist the pressure of the earth of the rampart and parapet. The time necessary to make a breach, depends on the size of the breach to be made, the material of the scarp, the number of guns, &c. For a breach of 20 to 30 yards in length, at forty yards from the battery, 1,500 shot of large calibre will be required ; but when the battery is at a greater distance, a greater number of 484 EFFECTS OF PROJECTILES. projectiles will be necessary, on account of the dimin- ished accuracy and penetration. Thus, at 500 or 600 yards 9,000 to 10,000 may be needed. Rules, The following general rules should be ob- served in firing to effect a breach : — 1. Ascertain as accurately as possible the widths of the ditch and covered way, the height of the scarp- wall, the thickness of the parapet, the height of the counterscarp, and crest of the covered way. By the aid of a profile that can be constructed from this data, determine the height of the horizontal cut to be made in the scarp, so that the slope of the ramp shall be 45°. This height should never be below a fourth of that of the scarp, and, to avoid interference from the wrecks, it should be nearly equal to the presumed thickness of the wall at the cut. If the ditch be a wet one, commence cutting at the water's edge. 2. From the number of pieces with which the bat- tery is to be armed, and the length of the breach, de- termine the field of fire of each piece, and the length of cut that it is to make. 3. Ascertain the angle of elevation, or depression, for each piece, to strike the cut, and mark it unalterably on the elevating screw. 4. Direct each piece on the right or left of the part to be cut, and space the shot from right to left, or from left to right, at If to 1^ yards for the 24-pdr., and 1 yard for the 18-pdr. Mark on the platform the direction of the stock and wheels at each shot. Re- turning then from left to right, or from right to left, fire at the middle of the intervals left by the first shot, and mark the directions as before. Continue this firing i BREACHING WITH RIFLE-CANNON. 485 regularly at the most prominent points, and make the cut progress equally throughout. 5. Fire at the horizontal cut until the earth falls throughout the cut. 6. Determine the number of vertical cuts to be made, at the rate, at most, of one to a piece, without spacing more than 10 yards apart, in order that no part shall be sustained by more than one counterfort. Fire as in the case of the horizontal cut, commeDcing at the upper line. 7. See that the extreme vertical cuts progress as rapidly as the interior ones, and direct the adjoining guns upon them if necessary. 8. If the wall do not fall after the cuts are made, fire a few volleys at the middle of the spaces thus out- lined. 9. After the fall of the wall, break down the coun- terforts, and, if time or resources permit, replace the guns by 8-inch howitzers, and fire upon the earth with loaded shells, or fire shells from the guns. 468. Breaching with rifle-cannon. The superior breaching-power of rifle-projectiles depends not only on penetration, but on great accuracy of flight, whereby they can be quickly concentrated on any desired point. This has been satisfactorily shown by an experiment lately made in England with Armstrong guns, throw- ing projectiles of 40, 80, and 100 lbs. weight, respec- tively. The subject of the experiment was a Martello tower, 30 feet high, and 48 feet diameter; the walls were from 7 feet 3 inches to 10 feet thick, of solid brick masonry of good quality. The distance was 1,032 486 EFFECTS OF PROJECTILES. yards — more than twenty times the usual breaching distance. The 80-pdr. shot passed completely through the ma- sonry (7 feet 3 inches), and the 40-pdr. shot and 100-pdr. percussion shells lodged in the brick- work, at a depth of five feet. After firing 170 projectiles, a small portion of which were loaded shells, the entire land-side of the tower was thrown down, and the inte- rior space was filled with the debris of the vaulted roof, forming a pile which alone saved the opposite side from destruction. It is not presumed that the introduction of rifled siege cannon will change the principles of breaching, as laid down in the preceding section, but it will compel the defence to strengthen his works by the various appli- ances known to the engineer's art. 469. Effect of buiiet§. The penetrations of the rifle- musket bullet, in a target made of pine boards, one inch thick, are as follows : — At 200 yards 11 inches. " 600 yards 6| « " 1,000 yards 3| a From experiments made in Denmark, the following re- lations were found, between the penetration of a bullet in pine and its effects on the body of a living horse, viz. : 1st. When the force of the bullet is sufficient to pene- trate .31 in, into pine, it is only sufficient to produce a slight contusion of the skin. 2d. "When the force of penetration is equal to 0.63 in., the wound begins to be dangerous, but does not always disable. EFFECT OF BULLETS. 487 3d. When the force of penetration is equal to 1.2 inch, the wound is very dangerous. It will thus be seen, that the present bullet is capable of producing very dangerous wounds at a much greater distance than 1,000 yards. A rope matting or mantlet, 3^ inches thick, is found to resist small- arm projectiles at all distances ; it may, therefore, be employed, as it was at the siege of Sebas- topol, to screen the gunners of siege batteries from the enemy's riflemen, A field-cannon ball has sufficient force to disable seven or eight men at a distance of 900 yards. It is stated that a single cannon-ball, at the battle of Zorn- dorf, disabled forty-two men — distance not given. 488 EMPLOYMENT OF FIELD-AKTILLEKY. CHAPTER XII. EMPLOYMENT OF FIELD-ARTILLERY.* 470. Oreatest range. The extreme range of field-ar- tillery has been stated to be about 3,000 yards ;f a some- what greater range than this can be obtained by sinking the trail of the carriage into the ground, thereby in- creasing the elevation of the piece; but in consequence of the great strain thus thrown upon the carriage, and the great inaccuracy of the fire, it should be seldom re- sorted to, unless it be to produce a moral effect on an army in retreat, or passing a defile. If employed against an enemy acting on the offensive, it would have the ef- fect, from its extreme inaccuracy, to give him increased confidence. In general terms, firing at long range should only be employed when the nature of the ground, or the short- ness of the time, does not permit a nearer approach to the object; and it should always cease when the object of the fire is attained. Effective range. The greatest effective range of field- artillery varies from 1,400 to 1,800 yards. Batteries of position belonging to an army acting on the defensive, should open fire at a distance of 1,300 or 1,400 yards. The object of this fire is not so much to arrest, as to re- tard, the movement of the enemy, and compel him to establish batteries to cover his approach. The distances * Vide Decker's Instruction Pratique, &c. f The ranges in this chapter refer to smooth-bored rather than rifled guns. The principles, however, involved in it, are equally applicable to both. GREATEST RANGE. 489 should be carefully estimated, and the firing should take place slowly, in order that the effect of each shot may l>e observed, and the aim corrected, if necessary. Rapid and continuous firing should commence at a distance of 800 or 1,000 yards; the attacking party should, at the same time, establish his batteries to cover the deployment of his columns, and to enable him to make the necessary preparations for attack. At a distance of 600 or 700 yards, or point-blank distance, the fire becomes very destructive; generally not more than six or eight shots can be fired before one of the parties will either advance or retire. As the distance closes, canister-shot should replace round-shot, which generally ends in producing disorder. Against infantry. Formerly artillery could take up a position about 300 or 400 yards in front of infantry without serious loss; but the introduction of the rifle- musket has produced a very great change in the relative powers of these two arms. The experiments made at the musketry-school at Hythe, show conclusively that artillery cannot long maintain a position within half a mile of properly instructed skirmishers, as the fire of rifle-musketry at this distance is as effective as that of canister at 250 or 300 yards. Should the surface of the ground be broken, or of such nature as to afford shelter to skirmishers, the pre- ponderance will be still more in their favor. And should the artillery not succeed in silencing the fire of the skirmishers by well served case-shot, it will be obliged to retire beyond the reach of the rifles, and trust to the effect of round and spherical case-shot upon the enemy's masses. 490 EMPLOYMENT OF FIELD- ARTILLEKY. Against cavalry. Cavalry, in charging upon an enemy situated at a distance of 1,000 yards, pass over the intervening space in about seven minutes. Each piece may fire nine rounds of solid shot, or spherical case-shot, in the first 400 yards, two solid and three canister shot in the next 400 yards, and two rounds of canister-shot while passing over the remaining 200 yards, making a total of eleven round and five canister shot. Neither spherical case-shot nor shells should be fired against cavalry in rapid motion ; and care should be taken not to cease firing solid shot too soon in order to commence firing canister. 471. Employment of different kinds of Are. The fol- lowing circumstances should be known, to enable the artillerist to select the most suitable fire for a particular occasion: 1st. The distance of the enemy. 2d. The conformation and quality of the intervening ground. 3d. The formation of the enemy, as far as can be seen or judged of. Direct fire. Direct fire should be employed wherever the surface of the ground is uneven and the quality of the soil varied, or wherever a portion fired over is smooth and the remainder broken, or the soil soft and light. There are other special cases where direct fire should be employed : 1st. When the enemy is so situated as to conceal the depth of his formation; otherwise the ground in rear of his front line may be such that the ricochet will not take effect ; 2d. When the enemy is about to pass a defile, and the head of the column only is seen ; or when the depth of the column can be seen, by being commanded EMPLOYMENT OF DIFFERENT KINDS OF FIRE. 491 or overlooked; in this case, the projectile which would miss the head might strike the middle or the rear of the column ; 3d. It should be employed in all sustained cannon- ades, because the effect of its shots can be more easily distinguished than that produced by the shots of a rolling fire. The aim should be corrected by observing the point of fall of the projectile; and, for this purpose, it is desirable to take the mean of three shots. If a rolling fire be employed under these circumstances, the character of the ground and formation of the enemy may be such, that the cannonade may be carried on for hours without knowing what effect is produced. To produce good results with direct fire, it is abso- lutely necessary to ascertain the exact distance of the enemy, which can only be done by a practised eye. This circumstance will be appreciated when we con- sider that, if a shot only strike the ground fifteen yards in front of a target six feet high, it will pass completely over it. When the object is not on the same level with the piece, the character of the fire will be determined by the nature of the intervening ground. If the surface be uniform, and have an inclination to the horizon not exceeding 15°, above or below, no change need be made in the kind of fire, or elevation of the piece, from what they would be on horizontal ground. If the enemy be posted on a mountain, or in a valley, the direct fire can only be used. As it is often difficult to estimate the distance, the pieces should be aimed with great precision, and the point of fall should be 492 EMPLOYMENT OF FIELD-AETILLEEY. carefully noted ; the firing should be deliberate, and it should be recollected that a different height of sight is necessary than when the object is on level ground. 472. Ricochet fire. Ricochet fire should never be used for a less distance than 1,000 yards, even when the ground is favorable; for, in order that this fire may produce its greatest effect, it is necessary that the pro- jectile should make two or three rebounds in front of the enemy, which it rarely does at a less distance than 1,000 or 1,100 yards. If the ground, for 300 or 400 yards in front of the pieces, be soft and uneven, or if it be soft and uneven for 100 or 300 yards in front of the enemy, rolling fire, which is a species of ricochet fire, cannot be employed with effect. Large and deep objects, as a mass of troops, a park, or a column of artillery on the march, are the most suit- able objects for ricochet fire, as these objects present several lines, one behind the other. 473. canister fire. The fire of canister does not always produce the effect anticipated for it, for the fol- lowing reasons, viz. : 1st. The object is thought to be nearer than it really is, and the firing sometimes commences too soon. 2d. The danger is often thought to be more imminent than it really is, and, consequently, proper care is not observed in aiming. 3d. The character of the ground is not properly ap- preciated ; and too much confidence is reposed in the effect of the projectiles thrown over unfavorable ground. 474. Field-howitzers. The extreme range of shells fired from field-howitzers has been stated to be from 2,500 to 3,000 yards. The deviation of shells at ex- LONG RANGES. 493 treme distances is so great that they should only be employed against large objects, as cities, camps, &c. The greatest effective range of howitzer-shells is about 1,500 yards ; shells should only be employed at this distance in the offence, and then, rather as an exception to the general rule. The gun should always be employed when capable of producing the same effect as the howitzer. Shells act by percussion, by explosion, and by moral effect ; and they should be employed in preference to shot under the following circumstances, viz. : 1st. When the enemy is stationary and under cover. 2d. When the ground is much broken, or cannot be seen. 3d. When troops are posted in woods. 4th. From one mountain to another. 5th. When the enemy is posted on higher or lower ground. 6th. When on a road leading through a valley. 7th. For incendiary purposes. 8th. In pursuit. 9th. Whenever it is necessary to produce a moral rather than a physical effect. EMPLOYMENT OF SIEGE-CANNON. In siege operations, the same fires are employed as in the field, but under different circumstances. The position of the object is generally fixed and known, and there is sufficient time to consider the best means of attaining it. 475. Long ranges. The greatest range of the 24-pdr. 494 EMPLOYMENT OF FIELD-ARTILLERY. siege-gun, mounted on its appropriate carriage, is about 3,500 yards; but the defence should not, without good reason, make use of a greater distance than 950 yards, or point-blank distance, for it is his duty to economize his ammunition, if it cannot be replaced. It will be proper to fire at a reconnoitring party at a distance of 1,000 or 1,100 yards, to prevent a nearer approach, and against strong attacking columns, provided they offer sufficient surface to render the chances of hitting probable. In the attack. Firing at long ranges, on the part of the besiegers, should be strictly forbidden, as it would disclose to the enemy the proposed front of attack, without any compensating advantage. In the siege service, it is more important to avoid useless firing than in the field, for every shot that does not contribute to the progress of the attack, by weaken- ing the defence, is a shot lost. 476. Enfilading and counter flre§. An enfilading fire is directed along a particular portion of a work, and a counter fire is directed toward it. In tlie defence. Solid shot are used in enfilading and counter fires under the following circumstances : 1st. To destroy the head of a sap, or the parapet of a trench. 2d. When the enemy passes from the first to the second parallel, and before he has completed the bat- teries intended to dismount the artillery of the garrison. 3d. To batter vigorously the lateral works of attack as soon as they are finished. 4th. To protect and support sorties. The guns placed on the parapet of the place keep up a warm fire of ENFILADING AND COUNTER FIRES. 495 solid shot against the batteries of attack, and the heads of saps, until they are masked by the troops making the sortie. 5th. To prevent the enemy from following too closely upon the heels of the party, which, having made the sortie, are returning, successful or otherwise. 6th. From the guns placed on the flanks of the bas- tions when the besiegers attempt to pass the ditch ; in this case the fire is plunging. 7th. To drive the besiegers from any outwork that they may have taken. 8th. In a cannonade, the object of which is to dis- mount the besiegers' guns. In the attach. The object of enfilading fire in the attack of a place, is to rake the terrepleins of the faces, curtains, &c, and to render them untenable ; for this purpose the batteries should be established on the prolongation of, and at right angles, or nearly so, with the direction of the part to be enfiladed. As the por- tion of the works to be attained is not commanded by the besiegers' cannon, enfilading fire, under these cir- cumstances, becomes ricochet fire, the nature and treat- ment of which have already been described. Enfilading and counter batteries are generally es- tablished at 300 or 600 yards from the place, or at the first and second parallels. As the object of a counter battery is to silence the fire of the place by dismount- ing the guns, its pieces should be directed against the embrasures. This demands great care in aiming, and great accuracy of fire ; the heaviest smooth-bored or rifled guns should therefore be employed for this purpose. 496 EMPLOYMENT OF FIELD-ARTILLERY. 477. Firing in breach. When the besiegers have approached to a suitable distance to commence the breach, the opposing artillery will have been silenced; but they will be subjected to flank and rear fires, against which they will protect themselves by traverses. Counter-batteries will also be established with the breaching- batteries, the object of which will be to silence the artillery bearing on the breaching-batteries, and the passage of the ditch. The method of forming a breach has already been described. 478. Fire of ca§e-§hot. Case-shot should be employed in the defence of a work under the following circum- stances, viz. : 1st. In sorties, where field-artillery can be employed. 2d. At all points liable to sudden attacks, as on avenues leading toward gates, or on bridges. Pieces situated on the flanks are particularly suited to this fire. 3d. Against the gorge of an outwork which the enemy may make a bold attempt to seize. For this purpose, pieces on the curtains, or shoulder angles, should be employed, taking care, at the same time, not to fire over works occupied by the defence. 4th. This fire may be safely employed in the defence of dry ditches, reveted with masonry. 5th. Against the batteries of the first parallel during their erection, and after their position has been disclosed by means of fire-balls. 6th. Against the head of a sap at night. 7th. Against the workmen engaged on the construc- tion of the second parallel. 8th. Against the workmen engaged on the third par- FIRE OF THE SIEGE-HOWITZER. 497 allel, against the works leading to the covered way, and against the crowning of the covered way. 9th. Against craters formed by the explosion of mines, to prevent the enemy from crowning them. 10th. Against the passage of the ditch. 11th. Against the breach. 12th. All cannon on the flanks which remain mounted, fire rapidly grape or canister shot at the moment of assault. In the attach The besiegers are much more restricted in the use of case-shot than the besieged. It should be principally employed under the following circumstances, viz. : 1st. By cannon placed on the flanks of attack when- ever the besieged make a sortie, and come within suita- ble range. 2d. At night, against the embrasures which have been cannonaded during the day with solid shot, to prevent them from being repaired. 3d. Against the flanks, during the night. 4th. Against the breach during the day or night, as soon as completed, to prevent the enemy from erecting means for defending it. 5th. Against the besieged, if he attempt to pass out through the breach, after the assault has been repelled. 479. Fire of the siege-howitzer. The siege-howitzer should be employed in the defence, — 1st. Against an attacking column, when the ground in front of the place affords a shelter against the fire of guns. 2d. Against the works of the besiegers. Howitzers 32 498 EMPLOYMENT OF FIELD-ARTILLERY. are placed on the salients to blow up, with shells, the works situated on the prolongations of the capitals. 3d. Against the batteries in process of construction on the three parallels. 4th. Against the heads of saps ; this fire should be executed with small charges. 5th. The counter approaches are armed with how- itzers. 6th. Against troops opposing sorties, and especially against cavalry. 7th. Against the enemy's depots, when their position is known, and when they are within effective range. 8th. Against the enemy's convoys, when they can be reached, and they offer sufficient surface. In the attack. Howitzers are employed by besiegers — 1st. In a bombardment, by day and night. 2d. During all periods of the siege, when occasion requires. 3d. In the half-parallels established between the second and third; against the covered- ways and places of arms. The fire is executed with small charges. 4th. For ricochet fire, in preference to cannon. 480. Use of fire-baii§. Fire-balls are used by the de- fence — 1st. Against columns of attack. 2d. Against the opening of parallels, so soon as it is ascertained that preparations are made for this purpose. 3d. Against points in the space occupied by the be- siegers, where a remarkable noise may be heard, and there is reason to suspect that it proceeds from prepa- rations for attack. 4th. Particularly when it is thought that the be- FIRE OF MORTARS. 499 siegers are about to move forward from one parallel to another. 5th. To discover the movements of the enemy after he has repulsed a sortie, and to prevent him, by the fire of the guns of the place, from following too closely in pursuit. In attack. As it is for the interest of the besiegers to conduct their operations as silently and unobserved as possible, they will seldom have occasion to use fire-balls. 481. Fire of mortars. Mortars generally perform a more important part in siege operations than howitzers ; there are times, even, when they play a very decided part ; too much care, therefore, cannot be employed to render them effective. In the defence. Mortars are employed in the de- fence — 1st. Concurrently with howitzers, when the shape of the ground in front shelters the enemy from the fire of the guns. 2d. Against batteries and heads of saps. 3d. Against places sheltered from the fire of flanking guns. Mortars, and particularly light mortars, can be suitably placed at all points, and without interfering with the establishment of gun and howitzer batteries. 4th. Against the works of the besiegers generally, and especially against the opening of parallels, and the passage from one parallel to another. 5th. When the besiegers 7 fire has silenced the fire of the guns, the fire of the mortars continues in full activi- ty, not only in the body of the place, but in the demi- lunes and lateral works. 6th. In covered batteries, during the entire siege, but 500 EMPLOYMENT OF FIELD- AETILLERY. particularly during or after the construction of the third parallel. 7th. Light mortars should be employed in the coun- ter approaches. 8th. Against the workmen who are engaged in run- ning the sap up the glacis, for the purpose of crowning the covered way. 9th. To prevent the construction of counter and breaching batteries. 10th. To prevent the besiegers from establishing themselves in the craters formed by the mines. 11th. To drive the besiegers from any exterior work which they have taken. 12th. To prevent the passage of the ditch, or render it difficult. 13th. To prevent the besiegers from effecting a lodg- ment in the breach, by firing from the interior retrench- ment. In the attack. It is very difficult to specify all the circumstances which should govern the besiegers in car- rying on a bombardment, since they depend on a variety of causes ; the following, however, may be enumerated : 1st. In a regular attack, mortars are the first to open fire, which should be kept up night and day whenever a result can be obtained. 2d. Heavy, and sometimes medium-sized, mortars, can be employed to retard the enemy's works on the front of attack, the armament of his batteries, the transporta- tion of his cannon, and to shower shells upon the places where his troops assemble, and to burn his principal buildings, etc. Light mortars are rarely used for these purposes, in consequence of the distance of the object MORTAR CASE-SHOT. 501 and the lightness of the shells, which have little force of percussion. 3d. Mortars are employed to throw shells over the entire surface of the ramparts of the front of attack ; and, for this purpose, the fire should be taken in the direction of their length. 4th. They are also employed against the lateral works as soon as the enemy seeks to establish his guns there for the purpose of retarding the works of attack. 5th. The curved or mortar fire of the second parallel is as efficient as that of the first parallel, at all periods of the siege. Light mortars here begin to be usefully employed. 6th. Light mortars are also used with great advan- tage in the half-parallels. From this period of the siege, the covered- way and places of arms are showered with shells. 7th. From the period of the third parallel, the ene- my's flanks are plied with mortar shells, to support the fire of the counter batteries. 8th. As soon as the covered-way is crowned, and sub- sequently, when a lodgment in the breach shall have been effected, Coehorn mortars are employed against the enemy, who has withdrawn to the interior retrench- ment of the bastion. 482. Mortar case-shot, &c. Stones and case-shot from mortars, should be thrown by the defence as soon as the besiegers pass to the construction of the third parallel, and the batteries pertaining to it. This should be con- tinued during the crowning of the covered-way, and during the assault. The besiegers, on the contrary, employ these projec- 502 EMPLOYMENT OF SEA-COAST ARTILLERY. tiles in all the batteries of the third parallel, and, by this means, seek to drive the enemy from the covered- way and places of arms, thus preparing the way for the assault. EMPLOYMENT OF SEA-COAST CANNON. 483. Nature of. Artillery plays a very important part in sea-coast defence, particularly, since much of it is composed of pieces of sufficient power to disable a wooden vessel by a single well-directed shot. The principal advantages which sea-coast cannon pos- sess over those mounted on ship-board, arise from — 1st. The greater strength and stability of the foun- dations on which they rest. Hence they are made of the largest calibre, and have perfect steadiness of aim in firing. 2d. The superior resistance of the covering materials of land-batteries. Hot-shot and shells are particularly effective against timber, but they have very little effect on earth, or good masonry. 3d. Less extent of vulnerable surface. The vulner- able surface of a casemate battery comprises that of the embrasures ; that of a barbette battery is composed of those portions of the guns, carriages, and men which are seen above the crest of the parapet — forming, altogether, a narrow belt, not much exceeding two feet in width ; whereas, the entire surface of a vessel, above the water- line, is liable to be seriously injured by projectiles. 4th. Superior height, or command over the surface of the water. The crest of a land-battery is, at least, 45 feet above the surface of the water ; this superiority of Of THE UNIVERSITY position gives not only a greater range to the artillery, but it gives it a destructive plunging fire on the decks of the opposing vessels, and, at the same time, places the battery beyond the reach of ricochet fire. 5th. Greater vertical and horizontal fields of fire. This advantage not only gives greater range to the pro- jectile, but permits the same number of pieces to be brought to bear on a greater number of points. 484. Armament. The armament of sea-coast bat- teries depends on their importance, and on the depth and width of the channel to be defended. The present sea-coast armament comprises the 32 and 42 pounder guns for throwing solid shot, hot-shot, shells, and case-shot ; the 8-inch sea-coast howitzer for throw- ing shells and case-shot ; the 8, 10, and 15-inch colum- biads for throwing shot and shells; and the 24-pounder howitzer for throwing single or double shotted canister, in the defence of ditches ; in addition to these, every sea-coast battery should be provided with a certain num- ber of field-pieces, principally howitzers, to prevent a landing, or to act, in close engagements, against the rig- ging and boats of vessels. Every battery should be provided with permanent or portable furnaces for heating shot. One hour and a quarter is required to heat up a furnace and bring the shot to a red heat, or half an hour to heat the shot if the furnace has been previously heated. Hot shot are better suited for protracted than for short engagements. 485. Fires. Direct, ricochet, and plunging fires are principally employed in sea-coast defence. Direct fire should be used when the surface of the 504 EMPLOYMENT OF SEA-COAST ARTILLERY. water is rough, and the accuracy of the rebound cannot be depended upon. The accuracy of sea-coast fire is generally greater than that of the field or siege service, for the reasons, that, the distance of the object, though moving, can be readily and accurately determined by its relation to known objects, the effect of shot can be more easily observed on water than on land, and the size of the object is large, and its appearance, generally, well defined. In aiming at a vessel with direct fire, the piece should be pointed at the water-line ; for, if the projectile strike the water, it will either penetrate the hull below the water-line, or rebound and strike above it. The range of effective direct fire does not much exceed one mile and a quarter; the extreme range of sea-coast mortars is about two and a half miles ; that of the co- lumbiads, about three and a quarter miles, and the heavy rifle-guns about five miles. 486. Ricochet-fire. The accuracy of ricochet -fire depends on the surface of the water; under favorable circumstances, the larger sea-coast shells have a range of about 3,000 yards in rolling fire ; their penetrating force, however, is very much diminished toward the extrem- ity of this range. The fire of mortars, from ship-board, is very uncer- tain, if the surface of the water be much disturbed. This was shown at the bombardment of Fort McHenry by the British, in the War of 1812, and at the bom- bardment of San Juan d'Ulloa by the French. In the latter case, out of 302 shells that were fired at a dis- tance of 2,200 yards, six only struck the fort, while others fell 1,200 yards beyond it. r TABLE ONE. 505 CHAPTER XIII. TABLES OF MULTIPLIERS. B, I, D, V, &c. 487. Explanation. It would exceed the limits of this work to enter into a discussion of the formulas from which the values of the multipliers used in the equa- tions of motion in air (page 412) are calculated; it will be sufficient to explain how these tables are used in practice. The pupil will find this subject, as well as all others relating to Ballistics, ably and fully treated in Didion's Traite de Balistique. 488. Table 1. Multiplier B. The decimals are car- ried out to three places, which is sufficient for ordinary purposes. The values of — are given in the first hori- zontal line, the value of — ' in the first vertical col- r umn, and the values of the corresponding multipliers are set opposite to them. To find the multiplier B for two intermediate values of-- and — ' not given in the tables, we seek, in the c r absence of the proper numbers, the corresponding values of the nearest tabular numbers. We add to these, parts proportional to the differences, as though each part were to be considered separately. 506 TABLES OF MULTIPLIERS. x V Example. — Find the value of B for _=0.5755, and ——1.1219, c r i. e. B (0.5755; 1.1219). Starting with 0.55 in the first horizontal column, and 1.10 in the first vertical column, we find -5=1.479; the difference between this and the next number of the horizontal line is 0.054 ; the difference between the same and the next number of the vertical column is 0.013. The difference between 0.5755 and 0.55 is 0.0255, and between 1.1219 and 1.10 is 0.0219. The value of B (0.5755; 1.1219)=1.479-f Q - 0255 0.054 + 0,0219 0.013 — 1.479 + v J 0.05 0.05 0.027 + 0.006 = 1.512. Or, for greater convenience, the foregoing may be placed in the fol- lowing form, the differences being written as whole numbers : .#(0.5755; 1.1219) — 1.512 ^(0.55; 1.10) =1.479 s« • • - - 219 ™13 . . = 6 500 Multiplier, I. The values of /are given in the same table as those of JB; except that it is necessary to com- mence in the lower horizontal line, and subtract from V I V\ them the product of — j 1-) i J, by the corresponding number of the line called " correction." Example.— To find the value of 7(0.5755; 1.1219), take - = c 0.545, which is less than the proposed number by 0.305, and which V differs by 0.035 from the next number in the table; — '= 1.10 is the * r nearest number to 1.1219 in the first vertical column; for these two numbers we have 7=1.771. This number differs from the adjoining horizontal and vertical numbers in the table by 0.066 and 0.022, re- spectively. The value sought is 1.830, as is thus shown: TABLE FOUK. 507 7(0.5755; 1.1219)= 1.830 I (0.545; 1.10) =1.771 305 •66 = 58 350 219 ^o5 22 = 10 —1.1219.2.1219.4= —9 Table 3. Values of U and D. This table is calcula- CO ted for differences of 0.10 in case of — > in the upper line, C and for differences of .05 in case of — % For U, the x values of - are found in the upper horizontal line, and c for D, in the lower line. Example.— Find the values of U (0.5755 ; 1.1219) and D (0.5755; 1.1219). D (0.5755; 1.1219) = 1.336 D (0.393; 110) = 1.221 1825 1920 119 = - 113 219 ^00 5 " - 002 U (0.5755; 1.1219) = !. 707 U (0.50; 1.10) = 1.597 755 Toob 138 = - 104 219 • --14 - .006 We have [7=1.707, and Z> = 1.336. Table 4. Values of - B for the calculation of Ranges. This table skives the value oi-B for values of - and — '-, & G c r for differences of 0.05 and 0.05 ; the unknown quantity t • x - V, i <& T* to be determined is - wnen — - and -.#=/>, are given. Arrange the calculations as in the preceding cases. Only one of the proportional parts is unknown, and this is determined by the condition, that if it be added to the other proportional part, and to the number in the table, the sum is equal to the required number. 508 TABLES OF MULTIPLIEES. V x x Examples. — Having ~ =1.1219 and -B, or ^>=0.8729, find -. t .'V k Starting with —=1.10, and following the horizontal line, we come upon 0.8135, the nearest approach to the proposed number, 0.8729. Find * x the corresponding value of — which is 0.55; the unknown value of — surpasses 0.55 by a certain quantity which we shall call A ; following the previous arrangement of the calculation, and observing that the differences of 0.8135 with the adjacent horizontal and vertical tabular numbers are 0.1065 and 0.0071, respectively, and representing by p the result, we have — ^(0.55 + A; 1.1219)= 0.8720 /? (0.55 ; 1.10 ) = 0.8135 A :1065 — .0559 0.05 0.02] 71 = .0035 0.0500 559 We have A=— — 0.05 =0.0263 1065 - =0.55 + 0.0263 =0.5763 c The proportional part 559 is equal to 8729 — (8135+35Y L Table 5. Values of r for initial velocities. 7S This table gives the quotient arising from dividing V x V — ■ by VB f° r values of - and — - ; the quantity to be . V determined is — -. The method is the same as in the r preceding table ; if the value of the quotient q dimin- ishes as - increases, the sign of the difference should be G changed. V, Example.— Having - =0.5755, and? = r = 0.9110, find YL c 1.836 1 386 1 .488 1.9 • 1.000 1.087 1.076 1.117 1.159 1 .203 1.24S 1.295 1 .345 1.396 1.450 . 1.25 1.000 1.038 1.078 1.120 1.163 1.207 1.254 1 .303 1.353 1.406 1.461 For 1 a? 7 1 7 0.000 0.033 0.067 0.101 0.134 0.168 0.202 0.236 0.270 0.804: 0.388 0.001J 0.001 1 rorrtction 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001 0.001 Fo- B ■ 0.50 0.55 0.60 j 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 I 0.00 1.190 1.212 1.234 1.257 1.2*1 1.805 1 .330 1.855 1.882 1 .409 1 .487 0.05 1.200 1.223 1.V47 1.271 1.296 1 .322 1.84S 1.875 1.40 1.43' 1.461 0.10 1.210 1.284 1.259 1.285 1.81' l.«89 1.866 1 .395 1 .425 1 .455 1.486 0.15 1.220 1.246 1.272! 1/99 1.827 1.85« 1.885 1.415 1.447 1.479 1.512 0.20 1 .-281 1 .25S 1.2-5 1.814 1.348 1 .378 1.404 1.436 1.469 1.503 l.ftw 0.25 1.241 1.269 1.298! 1.828 1 .359 1 .3!i0 1.428 1.457 1.491 1.6*1 1.563 0.80 1.252 1.281 1.811 1.348 1 .875 1.408 1.442 1.477 1.514 1.551 1.590 0.85 1.262 1.293 1.8.-5 1.357 1 .391 1.425 1.461 1.499 1.586 1.5 6 1 616 0.40 1.278 1.805 1.833 1.872 1 .407 1.448 1.48 1.520 1.559 1.601 1.643 0.45 1.2-3 1.317 l.*51 1.8-7 1.428 1.461 1.500 1.541 1 .5S8 1.626 1.610 0.50 1.294 1.829 1.365 1.402 1.440 1.479 1.520 i .563 l.fOt 1.651 1.697 ^k ,•0.55 1 .805 1.841 1.878 1.417 1 .457 1.498 1.540 1.584 1 630 1.677 1.725 a 1 0.60 1.815 1 .353 1.8921 1.432 1 .473 1.516 1 .560 l.i-OB 1.654 1.70 1.753 u 0.65 1 .826 1 .865 1.406 1.447 1.490 1.585 1.581 1.629 1.678 1.729 1.781 o 0.70 1 .387 1.378 1.4201 1.468 1.507 1 553 1.601 1.651 1.70; 1.755 1.810 0.75 1.34- 1. 90 1.433| 1.478 1.524 1.572 1.622 1.674 1.7*7 1.7-2 1.839 0.80 1.859 1.403 1.4471 1.494 1.542 1.591 1.643 1.696 1.751 1.809 1.868 0.85 1.870 1.415 1.462 1.509 1.559 1.610 1.664 1.719 1.776 1 >30 1.897 90 1.88 1 .428 1.476 1.525 1.577 1 630 1 6-5 1.748 1.802 1.86< 1.927 0.95 1.898 1.440 1 .490 1.541 1.594 1.649 1.706 1.766 1.8*1 1.691 1.957 1.00 1.404 1 .453 1.504 1.557 1.6'2 1.669 1.728 1.7S9 1.853 1.919 1.9-7 1.05 1 .415 1.466 1 .5.9 1 .574 1.630 1.6S8 1.749 1.813 1.879 1.941 2.017 ' 1.10 1.427 1.479 1.5=8 1.590 1.64H 1.708 1.771 1.881 1.905 1.975 2.048 1.15 1.488 1.49^ 1.548 1.606 1.666 1.728 1.798 1.R61 1.981 9.004 2 079 1.20 1.450 1 505 1.563 1.623 1.684 1.749 1.816 1 .8S6 1.958 8.088 ¥.111 1.25 1.461 1.5IS 1 578 1 .639 1.703 1.769 1.838 1.910 l.s-65 2.06.' 2.142 For 0) c 0.83s 0.372 407 0.441 0.476 0.511 0.545 0.5S0 0.615 0.650 0.685 Correct on 0.001 0.002 0.002 0.002 0.003 0.003 0.004 0.004 0.005 0.005 0.006 TABLES. 511 Values of B and I. — (Continued?) For B 1.00 ! 1.05 1.10 1.15 1.20 | 1.25 1.80 1.85 J 1.40 ! l 1.45 ! 1.50 r o.oo 1.437 1.465 1.494 1.525 1.556 1.588 1 .621 1 1.654 1.689 1.725: 1.762 0.05 1.461 1.492 1.523 1.555 1 1.588 1.6221 1.657 1.698 1.730 1.768! 1.808 0.10 1.486 1.519 1.552 ; 1.586 ! 1.621 1.657| 1.6941 1.782 1.772 1.812! 1.854 0.15 1.512 1.546 1.581 1 1.620 | 1.654 1.6921 1.782! 1.772 1.814 1.857 1.902 0.20 1.53S 1.573 1.610 1.649 ' 1.688 1.T2S 1.770! 1.818 1.857 1.908 1950 0.25 1.56* 1.601 1.610 1.681 1.722 1 1.765 1.809| 1.854 1.901 1.949! 1.999 0.80 1.5 1.629 1.670 1.713 1.757 1 .802 1.848 1.896 1.945 1.996 2.049 0.35 1.M6 1.658 1.701 1.746 1.792 1.889 1.888 1.988 1.990 2.044 2.100 0.40 1.643 1.6»7 1.732 1.779 1.827 1.877 1.928 1.981 2.036 [ 2.098 2.151 0.45 1.670 1.716 1.763 1.812 1.868 1 .915 1.969; 2.025 2.083 1 2.142 2.203 „. 0.50 1.'97 1.745 1.795 1.846 1 899 1.954 2.01l! 2.069 2.129 2.192 2.256 M* 0.55 1.725 1.775! 1.827 1.881 1.936 1.998 2.0 3 2.114 2.177 2.242J 2.810 e 1 0.60 1.7.-3 1.805 1.859 1.915 1.973 2.033 2.095 2.159 2.225 2.293! 2.364 J- 0.65 1.781 1.836 1.682 1.950 2.011 2.073 2.138! 2.205 2.274 2.345! 2.419 1 0.70 1.810 1.866! 1.925 1.986 2.049 2.114 2.182: 2.251 2.323 2.398 2.475 0.75 1.899 1.8971 1.958 2.022 2.085 2.155 2.226 2.29S 2.373 2.451 2.582 0.-0 1.868 1.929 ; 1.99; 2.058 2.12^ 2.197 2.270! 2.846 2.424 2.505 2.589 0.85 1.897 1.9 ! 2.026 2.095 2.166 2.239 2.315^ 2.394 2.475 2.560 2.648 0.90 1 .927 [.992 2.061 2.132 2.206 2.2821 2.361! 2.448 2.527 2.616 2.707 0.95 1.957 2.1(25 2.096 2.169 2.246 2.325 2.407 2.492 2.580 2.672 2.766 1.00 1.987 2.057| 2.131 2.207 2.287 2.369 2.454! 2.542 2.633 2.726 2.627 1.05 2.017 2.090 2.167 2.246 2.32S 2.413 2.501] 2.593 2.687 2.786 2.688 1.10 2. 046 2.127 2.203 2.284 2.370 2.458 2.549! 2.644 2.742 2.844 2.950 1.15 2.079 2.157 2.240 2.323 2.412 2.503 2.5971 2.695 2.797 2.903 3.018 1.20 2.111 2.191 2.276 2.863 2.454 2.548 2 646; 2.746 2.853 2.963 8.076 1.25 2.142 2.225 2.313 2.403 2.49: 2.594 2.696! 2.801 2.909 3.028 8.141 For I X c 0.685 0.721 0.756 0.791 0.827 0.863 0.899 0.934 0.970 1.006 1.043 Correcti r>n ... 0.006 0.007 0.007 0.00* 0.009 0.010 0.011! 0.015 0.013 0.014 0.015 For B X c 1.50 1.55 1.60 1.65 1.70 1.75 1.80 1.85 1.90 1 1.95 2.00 0.00 1.762 1.799 1.838 1.878 1.920 1.962 2.00'. 1 2.051 2.097 2.145! 2.194 0.05 t.80" 1.848 1.890 1.988 1.977 2.022 2.069 2.117 2.167 2.218! 2.271 0.10 1.654 1.897 1.942 1.98- 2.035 2.0v 2.i:-8 2.165 2.23> 2.293! 2.5-49 0.15 1.902 1.94- 1.995 2.044 2.094 2.145 2.199 2.254 2."10j 2.*69| 2.429 0.20 1.950 1.999 2.049 2.101 2.154 2.209 2.265 2.*24 2.384 2.44i>! 2.511 0.25 1.999 2.051 2.104 2.158 2.215 2.27« 2.833 2.395 2.459 2.525, 2..' 94 0.30 2.049 2.103 2.159 2.217 2.277 2.899 2.402 2.468 2.536 2. '06 2. 676 0.85 2.100 2.157 2.216 2.277 2.840 2.405 2.473 2.542 2.614 2.688 2.7»5 0.40 2.151 2.211 2.274 2.339 2.405 2.473 2.544 2.617 2.693 2.771; 2.652 0.45 2.203 2.267 2.8 2 2.400 2.470 2.542 2.*17 2.694 2.774 2.857! 2.942 ^U 0.50 2.256 2.328 2.391 2. 463 2.536 2.«lv 2.691 2.772 2., -56 2.9481 3.083 0.55 2.310; 2.3-0 2.452 2.526' 2.604 2.6*3 2.766 2.851 2.940 8.081! 8.126 e 1 0.60 2.: 64 2.437 2.518 2.i 591 2.672 2.75' 2.842 2.932 3.025 8.121! 3.220 «- 0.65 2.419 2.4'6 2.575 2.657 2.742 2.629 2.920 3.014 8.111 x.212 3.816 o 0.70 2.475 2.555 2.f38 2.723 2.812 2.904 2.999! 8.097 3.199 8.804 8.413 0.75 2.682 2.615 2.702 2.791 2.8-4 2.979 *. 079 8.181 8.288 3.398 6.512 0>0 2.589 2.676 2.7'6 2.860 2.956 3.056 8.160 8.267 8.379 3.494 3.613 0.85 2. 64S| 2.738 2.832 2.929 8.080 3.134 3.242 8.:54 8.471 8.591; 8.715 0.90 2.707 2.801 2>98 8.000 8.105 3.218 8.826 8.443 8.564 3.689! 8.819 0.95 2.766J 2 864 2.966 3.07l| 3.180 8.2«'8 8.411 8.582 8.659 3.790' 3.925 1.00 2.627 2.928 3.034 8.144 3.257 8.875 8.497 8.623 8.755 8.891 4.082 1.05 2.88-1 2.998 H.103 8.217 8>85 3.457 8.584 8.716 8.652 8.994 4.141 1.10 2.950 8.059 8.173 8.291 8.414 8.541 *.fi73 3.809 3.951 4.099 4.251 1.15 8.013: 3.126 3.244 8.8<;7 8.494 8. '25 8.762 3.904 4.052 4.205 4.P63 1.20 8.076: 3.194 8.816 8.443 8.575 8.711 3.858 4.000 4.158 4.812 4.477 . 1.25 3.141 3.262 3.389 1.115 3.520J 8.657 8.798 8.945 4.098 4.257 4.421 4.592 1 or 1 1 x 1 « | 1.048 1.079 1.151 1.188 1.225 1.261 1.298 1.385 1.372 1.409 Correcti • on 0.015 0.017 0.018 0.019 0.021 0.022 0.024J 0.025! 0.027 0.029! 0.081 512 TABLES. Table 3. — Values of U for velocities and D for times. For U X e j 0.00 0.10 0.20 0.30 : 0.40 0.50 ! 0.60 : 0.70 0.80 ! 0.90 1.00 0.00 1.000 1.051 1.105 1.188 1.221 1.884 1.850 1.41S 1.4' 2 1.568 1.649 0.05 1.000 1.054 1.110 1.170 1.238 1.298 1.867 1.44C 1.516 1 597 1.6S1 0.10 1.000 1 .056 1.116! 1.178' 1.244 1.312 1.88B 1.461 1.641 1.625 1.714 0.15 1.000 1.068 1 .121 1 1.1861 1.255 l.:-27i 1.402 1 ASi 1.566! 1.654 1.746 0.20 1.000 1.062 1.1261 1.194 1.2' 6 1.341 1.481 1 509 1.590! 1.682 1.779 0.25 1.000 LOW 1.132 1.202! 1.277 1.865 1.4:37 1 524 1.61C 1.71! 1.811 0.30 1.000 1.007 1.1*7. 1.210. 1.88") l.xeO, 1.455] 1 64E l.<39 1.7 1 1.843 0.85 1.000 1.069 1.142 1.219 1.2'.<9 1.3S3! J .472 1 564 1.664 1.767 1.876 0.40 1.000 1.072 1.147 1.227, 1.810 l.»98| 1.490 1.58. 1.689 1 ,79i 1.90S 0.45 1.000 1.074 1.153 1.285! 1.821 1.412 1.507 1.608 1.718 1.824 1.941 H- 0.50 1.001) 1.077 1.158 1.248 1.889 1.426! 1.525 1.629 1.738 1.858 1.973 0.55 1.000 1.080 1.163 1 .251) 1.848 1.4401 1.542 1.650 1 .7*9 1. 881 2.006 a 1 0.60 1.000 1.0S2 1.168 1.269 1.354; 1.454 1.5*0 1.'71 1.787 1.909 2.088 1 0.65 1.000 1.035 1.174 1.867 1.865 1.469 1.577 1.6 2 1.612 l.«8S 2.070 0.70 1.000 1.0S7 1.179 1.876 1.376 1.488 1.596 1.712 1.836 1.966 2.103 0.75 1.000 1.0' 1.184 1.288! 1.388! 1.497 1.618 1.7-3 L.S6J 1.995 2.185 0.80 1.000 1.092 1.189 1 .291i 1 ,899j 1.511 1.680 1 . 7M 1.886 2.028 2.1 68 0.85 1.000 1.090 1.196 1.2991 1.410! 1.525 1.647 1.775 l.'lO 2.051 2.200 0.90 1.000 1.097 1.200 1.808 1.421! 1.540 1.666 1.796 2.080 2.283 0.95 1.000 1.100 1.205! 1.P16I 1.432| 1.554 1.682 1.210 1.824! 1.443! 1.583! 1.700 1.817 1 .969 2. His 2.265 1.00 1.000 1.103 1/8S 1.984 2.187 2.29T 1.05 1.000 1.105 1.216 1.882 L.464 1.662 1.717 1.859 2.00S 2.165 2.'80 1.10 1.000 1.108 1.221! 1.340 1.468 1.591 1.785 1.880 2.088 2.194 2.862 1.15 1.000 1.110 1.226' 1.34s 1.4T6 1.611 1.752 1.901 2.067 2.222 2.8H5 1.20 1.000 1 .113 1.281 1.868 1.487 1.625 1.770 1.922 2.0S2 2.250 2.427 1.25 1.000 1.115 1.237 1.864 1.498 1.629 1.787 1.948 2.107 2.279 2.460 For X 2> c 0.000 0.198 0.398 0.5S5 0.775 0.962 1.146 1.827 1.506 1.6S3 1.858 For U X c 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1 1.90 2.00 ' < 0.00 1.649 1.7*3 1.822 1.916 2.014' 2.117 2.226! 2.340 2.460 2.586 2.718 0.05 1.681 1.770 1.888 1.961 2.064 2.173 2.287! 2.407 2.533! 2 665 2.804 0.10 1.714 1 807 1.904! 2.007 2.115 2.229 2.348! 2.474 2.606! 2.744 2 890 0.15 1.746 1.S43 1.945J 2.053 2.166; 2.2.85 2.409! 2.541 2.679 2.S24 2.976 0.20 1.779 1.880 1.987 2.099 2.217J 2.840 2.471 1 2.608 2.752 2.908 8.068 0.25 1.811 1 917 2.028| 2.144 2.267! 2.896 2.582 2.675 2.825 2.982 3.148 0.*0 1.843 1.958 2.069! 2.190 2.31S 8.451 2.593 2.742 2 S98 8.061 8.284 0.35 1,876 1.990 '2.110 2.236 2.369, 2.508 2.655 2.809 2 971 3.141 ! 3.320 0.40 1.90S 2.027! 2.15l! 2.282 2.419 2.564 2.716| 2.876 8.048 8.220 3.406 0.45 1.941 2.063! 2.192; 2.328 2.470 2.620 2.777 2 943 8.1161 8.299, 3.492 ^ . 0.50 1.973 2.100 2.233; 2.373! 2.5*11 2.676 2.838 8.010 8.189 3.379, 3.577 M* 0.55 2.006 2.187 2.274 2.419 2.571; 2.731 2.800 3.077 8.262 8.458 3.663 3 1 0.60 2.038 2.173 2.315 2.465 2.622! 2.787 2.961 3.143 3.385! 3.537| 3.749 fe 0.65 2.070 2.210| 2.357 2.511 2.673' 2.848 3.022! 3.210 3.40SJ 8.616 8.886 1 0.70 2.108 2 247! 2.398 2.556 2.723 2.899 8.0*8. 8.877 3.481 3.696 3 921 0.75 2.135 2.283 2.439; 2.602 2.774' 2.955 8.145! 3.344 8 554 8.775 4.007 0.80 2.168 2.320 1 2.480 2.648 8.825 3.011 3.206 3.411 8.627 8.854 4.093 0.85 2.200 2.357 2.521 2.694; 2.875 3.066 8.267! 3. 478 8.700 8.933 4.179 0.90 2.233 2.393 2.562 2.740 2.926 3.122 3.8291 3.545 8.778 4.013 4.265 0.95 2.265 2.430! 2.603 8.786 2.977 3.178 8.890 3.612 3. 846 4.092 4.351 1.00 2.297 2.467: 2.644 2.831 3.028 3.234 3.451 3.679 8.919 4.171 4.437 1.05 2.380 2 503 2.686 2.677 3.078 3.290i 8.512 3.746 3.992' 4.251 4.588 1.10 2.862 2.540 2 726 2.988 3.129 3.346! 3.574 3.813 4.065 4.330; 4.608 1.15 2.395 2 577 2.768 2. 968 3.180 3.402 1 3.635 3.8S0 4.1: J 8' 4.409| 4.694 1.20 2.427 2.613 2.809 3.014 8.230 3.4571 3.696 3.947 4.2111 4.4^9, 4.780 . 1.25 2.460 2.660 2>50 3.060j 3.281; 3.513| 8.75S 4.014 4.284 4.568! 4.866 r or D X c 1.886 i 2.080 2.199 i I ! 2.369 2.535 2.701 2.864 3.026 1 1 3.186 3.344 ; 8.501 TABLES. 513 Table 4. — Values of -B for ranges. z. I 0.00 c ! 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.05 1.10 1.15 1.20 1.25 0.05 0.10 0.15 0.000 0.000 0.000 0.000 0.000 0.000 0.0000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0508 0509 .0509 0. .0510 0. .05100. .05110. .0511 0. .0511 0. .0512 .0512 0. .0513 0. .0513 0. .05140. .0514 0. .0514 0. .0515 0. .0515 0. .0516 0. .0516 0. .0517 0. .0517 0. .0517 0. .0518 0. .0518 0. .0519 0. .0519 0. 1034 0. 1036 0. 1038 0. 1039 0. 1041 0. 1043 0. 10450. 1046 0. 1048 0. 1050 0. 1052 0. 1053 0. 1055 0. 1057 0. 1059 0. 1060 0. 10620. 1064 0. 1066 0. 1067 0. 1069 0. 1071 0. 1073 0. 1075 0. 1076 0. 1078 0. 0.25 1578 0. 15S2 0. 1586 0. 1590 0. 1594 0. 1598 0. 1602 0. 1006 0. 1610 0. 1614 0. 1018 0. 1622 0. 1626 0. 1630,0. 1634 0. 16380. 16430. 1647 0. 1651 0. 1655 0. 1659 0. 1663 0. 1667 0. 1671 0. 1676 0. 16S0 0. 2140 2148 ! 2155 !0 2162 21690 2177J0 2184j0 2191:0 2199 220610 2213 2221 2228 JO. 2286 2243 0.35 0.40 2250 2258 2265 2273 2280 2288 2295 2303 231010 231810 232610 2722 2784 2745 2757 2768 10 278010 2791 2803 ;0 2815,0 282610 233S0 2850,0 2862 287410 2886! 0, 2897 ! 2909 ;0, 29910, 2933 29460, 2958|0. 2970 0. 29S2.0. 299410. 3006! 0. 301910. 3324 33410 3357 3374 3391 3408 3425 3443 3460 3477 3494 3512 3529 3547 3564 808210 3600 0, 36170 3635 0. 3653 0. 36710, 86890. 3707 0. 3725 0, 3743 0, 3761,0, 3947 8970 3993 40170 4040 4064 4088 4112 4136 41600 41840 4209 4233 4257 4282 4307 4332 0, 4356 4381 0. 4407 0, 4432 0. 4457 0, 4482 0, 4508 0. 4533 0, 4559 0, 0.45 4591 4622 4654.0 4685 47160 4748 4780 4812 0. 48440. 4877 ;0. 4909 0. 4942 0, 4974 0. 5007 !0. 5040 0. 5074 0. 5107 0. 5140,0. 5174 0. 5208 0. 5242 0. 5276 0. 53100. 5344 0. 5379 0. 5414|0. 0.50 5258 0. 0. 9 0. .5379:0. .54200. .5461 0. .55030. .5544J0. .558610. .56280. .567010. .57120. .575510. .57970. .584110. .5S84|0. .5927J0. .5971;0. .6015:0. .60590. .6103 0. .6147 0. .61920. .62370. 62S2 0. 6327J0. 5949 6000 6051 6102 6154 6206 6258 6416 6470 6523 6577 6682 6686 6741 7020 7076 7133 7191 7248 33 514 TABLES. Table 5.- V -Values of r B for initial velocities. 0.00 I 0.05 0.10 | 0.15 I 0.2J 0.25 0.80 0.35 0.40 0.45 0.50 0.05 0.10 0.15 0.20 0.25 0.80 0.85 0.40 0.45 0.50 0.55 0.60 0.65 0.70 75 0.80 85 0.90 0.95 1.00 1.05 1.10 1.15 1.20 1.25 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000' 0.0000 0.0000 0.0000 ii. iii mo 0.0000 0.0000, 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 (t. Ill II 10 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0. .04956 .09908 .14857 .19800 .24739 .29675 0.3461 0.3953 0.4446 0.4933 0.5429 0.5920 0.6411 0.6901 0.7391 0.78S0 0.8370 0.8857 0.9347 0.9884 1.0322 1.0809 1.1295 1.1781 1.2267 0. .04913 .09816 .14713 .19601 .24430 .29351 0.3422 0.3907 0.4392 0.4876 0.08SI 0.5841 0.6323 0.6803 0.7283 0.7762 0.8241 0.8717 0.9195 0.9671 1.0145 1.0620 1.1094 1.1566 1.2033 0. .04869 .09725 .14569 .19402 .24221 .29029 0.8888 0.3361 0.4333 0.4815 0.5289 0.5762 0.8988 0.6706 0.7176 • .7645 0.8113 0.8579 0.9045 O.9509 0.9971 1.0434 1.0395 1.1354 1.1813 0. .04825 .14426 .19204 .98968 .28710 0.3344 0.3315 '.4235 0.4754 0.5220 0.5635 0.6148J 0.6610 0.7071! 0.753" 0.7937 0.S443 0.8397 '•.9349 0.9801 1.0251 1.0700 1.1146 1.1592 0. .04782 .09543 .14284 .19')"7 .23703 .23392 o.33o6 0.3770 0.4232 0.4693 0.5152 0.5608; 0.6063 0.6516 0.6967 0.7416 0.7363 0.8309 0.8752 0.9194 0.9634 1.0072 I.11SO8 1.0942 1.1375 i. 04738 .04695 .09452 .09362 .14143 .14001 .18311 .13614 .23454 .98900 23075 .27759 0.8987 .3229 0.3725 0.3650 0.4180 0.4198 0.4633 0.4573 0.5084 0.5016 0.5532 J 0.5456 0.5978 0.5894 0.6422 1.6329 0.6864 0.6761 0.7303 0.7191 0.7741 0.7619 0.8176 0.8044 0.8609 jo. 8467 0.9U40 0.8887 0.9469 0.9305 0.9895 0.9720 1. 0881 > II. 0184 i 1.0741 1.0543 1.1162 1.1952 0. .04651 .09271 .13860 .13418 .99949 .27444 0.3191 0.8035 0.4O75 .4513 0.4948 '.5380 1.6810 0.6236 0.6659 0.7080 .7498 0.7913 0.8327 0.8780 0.9148 0.9547 0.9! 149 1.0848 1.0745 .04564 ,'9<91 .13778 .18023 .22440 .26818 0.8116 3546 0.8973 0.4396 I.4S15 0.5231 0.5645 0.6053 0.6459 0.6862 0.7261 0.7784; 0.7657 0.81880.8051 0.8587 0.8489 .8984 0.8826 O.9377 0.921O 0.97680.9590 1.0156 0.9967 1.0541 l.« 841 .09181 .18719 .15223 .22692 .27180 0.3153 O.3590 0.4024 0.4454 0.4881 0.5305 -.5727 0.6144 0.6558 0.6971 0.7379 0.50 I 0.55 0.60 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.65 0.70 0.75 0.80 0.S5 90 0.-3. l.i'O 1.05 1.10 1.15 1.20 1.25 ;o. 0. 1 .04564 .04521 1 .09091 .09001 j. 13778 .13438 .18 '28 .17835 I .22440 .22190 1. 26818 '. 26507 !". 3116 0.8078 ! 1. 3546 0.85 >2 ;".8973 0.3922 10.4396 0.4338 JO 4815 0.4750: 10.5231 0.5158' 0.5645 0.5563 io. 6053 0.5964 i 0.6459 0.6361 i 0.6362 0.6755, 10.7261 0.7145 0.7657 m. 7532 0.8051 .7916 0.8439 0.8295 0.8326 .8671 0.921-0.9 45 0.9590 0.9415 0.9967 0.9781 i 1.0341 1.0145 I 1 0. .04478 .08911 .13299 .17643 .21942 0.65 0.3041 0.8458 0.3871 0.4280 0.4835 O.50S6 0.54S3 0.5875 0.8264 0.6650 0.7031 0.7409 0.7783 0.8153 0.8520 0.8883 0.9243 0.9599 0.9953 0. .('4435 .08821 .18160 .17451 .21694 .25S90 0.8 04 '.8415 0.8821 0.4223 0.4621 0.5014 • ».5403 0.5788 1 0.6169 0.6546 0.6919 0.7288 0.7652 0.8014 0.8871 0.8725 ".9 75 0.9421 0.9764 0.70 I 0.75 04392 .08732 .18 21 .17259 .21448 .25583 0.2963 0.3372 ".8772 0.4167 0.4557 '.4943 0.5325 .57 2 0.6"75 -.6443 0.6308 0.7168 0.7524 '.7876 0.8225 0.8570 O.8909 0.9246 0.9579 0. .04349 .08644 .128&3 .17069 .21203 .25235 0.2932 0.3*30 0.8723 0.4111 0.4494 0.4873 0.5247 0.5616 0.59S1 0.6342 0.6698 0.7 00 0.739S ".7741 0.8081 0.8417 0.8747 0.9075 0.9398 0.89 0.S5 I 0.90 0.95 0. .04263 .08466 ,12608 .16091 .20715 .94892 0.2S59 0. .04306 .08555 .12746 .16880 .20958 .24983 |0.2S95, .. '0.32S7 0.8946 I ".8674 1 0.3625 '0.4055 O.4000 0.44890.4870 0.4804 0.4735 '0.5170 0.5093 0.5532 0.5448 I ".5889 0.5793 0.0242 0.6143 0.6588 0.6432 10. 6934J 0.6819 o.7273!o.7149 I 0.7608 ".7476 0.7939 0.7798 0.8265". 8116 0.85880.8430 0.8906 0.8739 0.9990 0.9046 0. 0. .04221 .04178 .08878 .08289 .12471 .12334 .16503 .16315 .20478 .20233 .24888 .94087 0.9894|0.9788 0.8203 0.3162 0.3577 0.8529 ".89450.8891 0.4308 0.4247 0.4666 0.4598 0.5018 0.4944 0.6865.0.6284 .5708 0.6619 0.6045 0.5949 0.68770.6278 0.6706 0.6594 0.702S 0.6909 0.7341 0.7219 0.7660 0.7525 0.2753 0.3121 0.34S2 0.3833 0.4187 0.4531 0.4870 0.5203 0.5531 0.5854 0.6171 0.6484 0.6792 0.7094 .7393 0.7970 0.7897 0.7688 0.8275 0.81 24; 0.7975 0.8576 8416 0.8260 0.S873 0.8705 0.8540 1.00 .04136 .08202 .12198 .16128 ,19994 TABLE FOR BALLISTIC MACHINE. 515 Table of Times, calculated for the West Point Ballistic Machine. 2*1 L ngth of simple pendulum, 5.769 in.; and ; =0.001509' 360y2gl Time of Time of 1 Degrees. passage for each degree. Sum of Times. Degrees passage for 1 each degree. Sum of Times. 1 .00151 ' 26 .01)159 .03987 2 .00151 .00302 27 .00159 .04146 3 .00151 .00453 28 .00160 .04306 4 .00151 .00604 29 .00161 .04467 5 .00151 .00755 30 .00162 .04629 6 .00151 .00906 31 .00163 .04792 7 .00151 .01057 32 .00163 .04955 8 .00151 .01208 33 .00164 .05119 9 .00151 .01359 34 .00165 .05284 10 .00152 .01511 35 .00166 .05450 11 .00152 .01663 36 .00167 .05617 12 .00152 .01815 37 .00168 .05785 13 .00152 .01967 38 .00170 .05955 14 .00153 .02120 39 .00171 .06126 15 .00153 .02273 40 .00172 .06298 16 .00153 .02426 41 .00173 .06471 17 .00154 .02580 42 .00175 .06646 18 .00154 .02734 43 .00176 .06822 19 .00155 .02889 44 .00178 .07000 20 .00155 . 03044 45 .00179 .07179 21 .00156 .03200 46 .00181 .07360 22 .00156 .03356 47 .00182 .07542 23 .00157 .03513 48 .00184 .07726 24 .00157 .03670 49 .00186 .07912 25 .00158 .03828 50 .00188 .08100 Example. — What is the velocity of a projectile when the time of its passage between two targets, 100 feet apart, corresponds to 20.5 degrees of the graduated arc ? Time of 20 D : Add for 0.5° Time of 20° .5 0.03044 0.00077 0.03121 2 Log. of 100 = 2.000000 Log. 0.06242 ~ 2.795324 Log. 1602. = 3.204676 Double arc s 0.06242 Velocity ss 1602. feet. 516 TABLES OF FIRE. 4 TABLES OF FIRE RANGES. The range of a shot or shell is the first graze of the ball on horizontal ground, the piece being mounted on its appropriate carriage. The range of a spherical case-shot is the distance at which the shot bursts near the ground, in the time given ; thus showing the elevation and the length of fuse required for certain distances. Kind of Ordnance. Powder. Ball. Eleva- tion. Range. Remarks. Lbs. o / Yards. 6-PDR. FIELD GUN. 1.25 Shot. 1 2 3 4 5 318 674 867 1138 1256 1523 1.25 Sph. case 1 600 Time, 2 seconds. shot. 1 45 700 <• H » 2 800 i, 3 u 2 45 900 , H , 3 1000 u 3f , 3 15 1100 " 4 . « 4 1200 u 5 12-PDR. FIELD GUN, 2.5 Shot. 347 Model 1841. « 1 1 30 2 3 4 5 662 785 909 1269 1455 1663 2.5 Sph. case 1 6U0 Time, If seconds. shot. 1 45 700 " 2i " 2 800 « 21 u 2 15 900 u 3 2 30 1000 M H U 3 1100 « 4 • 3 30 1200 " 4^ « TABLES OF FIRE. Ranges — Continued. 517 Kind ov Ordnance. Powder. Ball. Eleva- tion. Eange. Eemarks. Lbs. c / Yards. 12-PDR FIELD GUN, 2.5 Shot. 325 Model 1857. i. 1 2 3 4 620 875 1200 1320 ii 5 1680 1 2.5 Sph. case 30 II 300 Time, 1 second. shot. 1 575 ' " 1| « " 1 30 633 " 2| " ii 2 730 it 3 ii " 3 960 1 " 4 " M 3 30 1080 1 " 4f " " 3 45 1135 II 5 M 2.0 Shell. 300 u £ U " 30 425 „ ^ u ii 1 616 u !| ii u 1 30 700 ii ^ ii " 2 787 '• 2f « " 2 30 925 ! " 3i " " 3 1080 M 4 II II 3 45 1300 ii jj ii 12-PDR. FIELD HOW- 1.0 Shell. 195 ITZER. II 1 o 3 4 5 539 640 847 975 1072 0.75 Sph. case 2 15 485 Time, 2 seconds. shot. 3 15 715 i. 3 it 3 45 1050 « 4 12-PDR. MOUNTAIN 0.5 Shell. 170 HOWITZER. ii 1 2 300 392 " 2 30 500 Time, 2 seconds. II 3 637 " 4 785 ii 3 i| II 5 1005 0.5 Sph. case 150 shot. 2 30 450 Time, 2 seconds. 518 TABLES OF FIRE. Ranges — Continued. Kind of Ordnance. Powder. Ball. Eleva- tion. Eange. Remarks. Lbs. o / Yards. 12-PDR. MOUNTAIN 0.5 Sph. case 3 500 howitzer — Con- shot. 4 700 Time, 2£- seconds. tinued. 4 30 800 ii 3 ii 24-PDR. FIELD HOW- 2.0 Shell. 295 ITZER. it 1 516 u 2 3 193 976 u 4 1272 u 5 1322 2.5 Sph. case 1 30 600 Time, 2 seconds. shot. 2 700 ,1 2i u M 2 30 800 II 3 £ M » M 2 45 900 " 3* " (( 3 15 1000 u 4 H 3 45 1100 „ 4 ^ N (( 3 50 1200 M 4| u 32-PDR. FIELD HOW- 2.5 Shell. 290 ITZER. II 1 53 L M 2 779 3 o X © 3 Ec"s © 3