fCRCST PRCDtCTS lABCRATORrS TCtGliNCSS TESTING MACHINE November 1941 \ U.S. DtKOSiiWf-T THIS I^EPCI^T IS ONE CE A SEPIES ISSLED TO 4ID THE N4TICN'$ DEEENSE EEECI^T Nc. 13€$ UNITED STATES DEPARTMENT OF AGRICULTURE FOREST SERVICE FOREST PRODUCTS LABORATORY Madison, Wisconsin In Cooperation with the University of Wisconsin Digitized by the Internet Archive in 2013 http://archive.org/details/forestplaOOfore THE FOHSST PRODUCTS LABOBATORY' S TOUGHIIESS TESTING IJ^CHIITi^'- ITo two pieces of wood, even of the same species, are exactly alike. In studying the variability of wood it is observed that some pieces contain thick-walled cells and small cell spaces, others very thin-walled cells, large cell spaces and large pores or vessels, the amount of wood substance in a given volume occasionally varying as much as three to one in a single species. Since all wood substance has approximately the same density, the denser specimen v;ill contain more wood substance than the lighter one. What is more logical, then, than to believe that the denser the piece (the more wood substance per unit volume) the higher will be its strengtn properties? Such, in general, is actually the case. Laws governing the relation of density to the different strength properties have been determined, and, in general, show that any increase in density is usually attended by more than a proportional increase in other pro"Derties. But while density gives a good indication of the rsroperties, it, nevertheless, has som.e important limitations. Thus the position in the tree for such species as hickory and asn is of great significance, the material from the butt of upland timber having very high tensile strength, and relatively low compressive strength for its weight, while higher in the tree the reverse is true. Other species, or these species when grown under different conditions, may not show this characteristic variation. There are many silvicultural conditions which probably influence somewhat the relation of density to strength. It is seldom, however, that all strength- properties are influenced in the same way. Toughness in wood, which is essential in many uses, is dependent on a combination of properties, or rather on the relation of tensile 1 -The Civil Aeronautics Authority (Airworthiness Report 18, July, igUo) approves the use of this machine "as a means of determining the basic quality of wood to be used in aircraft construction. -Jhis mimeograph is one of a series of reports issued by the Forest Products Laboratory to aid the Nation's defense effort. L^irneo. No. 1308 -2- to compressive strength. When the tensile strength is abnormally high for a given density, it is quite common that the compressive strength will he som.ev/hat low. On the other nand, when the tensile strength is abnormally lo^- for its density, the compressive' strengtii is not infrequently normal or above normal. It is sirnific^nt, further, that relatively small ch,anges in ratio of tensile to com- pressive strength have an important bearing on the failure in bend- ing, and are accompanied by very large chancres in toughness. In addition, incipient decay may have a very marked influence on toufjh- ness before its effect is indicated by density. ITor is density a criterion of other defects v;hich have a pronounced effect ur^on the tensile strength. Thus it is seen that density cannot be depended upon to give a reliable criterion of toughness. When this property is of importajice, therefore, some dependable means of determining it is essential. Such a means is provided by the toughness machine developed at the Forest Products Laboratory which offers a relative- ly simple method of obtaining the relation of compression to tensile strength, as will later be explained. In brief, the inspection method which the Forest Products Laboratory now recommends for stock intended for exacting uses, oa.rtic- ularly aircraft, provides for the testing of one or more specimens (pref- erably not le s3 t han four) from pach piece under consideration . To be acceptable, the piece (l) m.ust either meet a minimum toughness require- ment established for the species in question, or if within a certain tolerance below the minimum must pass in addition the present specific gravity limitation; (2) must shov; a limited range in toughness values for all specimens from the same piece; and (3) must pass careful visual inspection. The object of limiting the raJigfe in toughness values for specimens from any one piece of stock is to guard against pieces which contain compression failures. Careful visual inspection is necessary to eliminate com.pression wood as well as diagonal and spiral grain, etc. It should not be inferred that the Forest Products Laboratory Toughness Machine is recommended as a panacea for all inspection or selection difficulties. Its use is not practical or necessary in cases involving wood inspection where strength is not a prime requisite. In certain special instances, however, v/here safety, un- interrupted factory operations, or the like, are dependent on one or a few wooden pieces, the toughness machine should prove of great value. As a means of obtaining suitable airplane material its merit has been demonstrated by tests on continuous beams and also by the comparison of static strength values for structural members studied. 1302 -3- The toughness tests may be made on samples from the rough stock. If at this early stage a piece is found unsuitable for the purt^ose in- tended, the material has not only been kept practically intact to divert to other uses, but the time and effort involved in unnecessary machining and fabrication has been saved. Again, in many cases la.rge quantities of high-grade lumber have been rejected for strength used because of stains which develop after purchase. Such stock, even though purchased at a premium, can usually be disposed of only at a sacrifice. If the toughness test were employed for selection, piXic'^ treatment given to prevent further infection, much of this stock would no doubt be found satisfactory. These are but examples of possible economies which await the use of the toughness machine. How the Toughness Tester TiTorks The toughness machine operates on the loendulum principle, but it differs radically from other types in that the load is applied to the specimen by means of a cable fastened around a di'um mounted on the axis of the pendulum, as shown in the drav^ing, rather thnn by direct impact of pendulum and specimen. If the pend\iliJim is raised to some initial position and allowed to swing freely, it '^/ill reach a like height on the op-posite side except for a small loss due to friction. 77hen a specimen is in the machine, the pendulum fail^ to s.-fing to a like height on the opDOsite side by an amoxint representing the energv consumed in breaking the piece. Hence, in determining touf^hness it is only necessary to read the initial and the final angle of sv/ing; after which, by reference to a table for the given "'eight position the tough- ness of the standard-sized specimen can be read directly. Because of its relatively simple operation, technically-trained observers are unnecessary for the successful use of the machine. Description of Machine The toughness machine consists essentially of n frnme suTiporting a pendulum, the whole being so arranged that a measured amount of the energy from the fall of the -Dendulum may be ar)T)lied to a test st)ecimen. The pendulum consists of a bar to which i^ bolted a ^-ei^nt adjustable to different -positions, and carries at th<; upner en'^ a dr^om or iralley riiose center -orovides the axis of rotation. The toughness specimen I3O8 -Il- ls tested as a beam with two vertical pins, adjustable as to span, acting as supports. The force is applied to the center of the specimen (in the standard test) by means of a flexible steel cable passing over the drum. A stationary graduated sc^le or dial and a vernier operated by the moving driwi are provided for reading the angles through which the pendulum swings. The toughness values for specimens tested may be obtained directly from a table which can be readily prepared. Adjustment and Use The shaft on which the pendulum rotates must be level rnd con- . centric with the dial (g) (See Figure I), and the pendulum must swing in a vertical plane parallel to the longitudinal axis of the machine. The plane of the dial must be parallel to the plane in '"hich the pendulum swings. These are fundamental adjustments '"hich should be made at the time of manufacture, and should usually require no attention unless the machine has been disassembled or damaged. The dial is so constructed that it may be rotated slightly about its axis to allow adjustment for the zero of the vernier (h) , shoulci this be necessary. The machine is so designed that the pendulum may be raised to any one of three initial angles, ^0° , ^5°. or 60° ?/ith the vertical and the weight adjusted to five different positions. The pendulum release trip operated by the foot lever can be inspected by remov- ing the cover plate (r) on the trip housing. With the cover x)lates off, the trip can be readily removed and replaced so as to afford release from any one of the throe initial angles desired. The various springs connected with the trip should be adjusted to afford easy operation. There are tvw interrelated principal adjustments which must be made preparatory to testing, and v.-hich must be checked at intervals during testing work, namely, (l) the zero adjustment of dial, and (2) friction compensating adjustment. The -procedure is as folloM^s: Zero adjustment of dial . Set the pendulum in motion with a small amplitude and let it swing until it comes to rest, the objf^-ct being to insure its stopping in a truly vortical position. Adjust the zero of the vernier by means of the thumb-screv' (j) to corresTDond to the zero on the dial. Friction compensating adjustment . A loractical method of correct- ing for friction is to increase the initial angle sufficiently so that I3O8 - 5 - the final angle of free swing shall have exactly the nominal value. This is done by raising one end of the machine by means of the ad- justing screTTS (a) ^vhich are provided for the purpose. To make the adjustment, operate the machine ^.vithout a specimen, taking care that the stirrup is in its proper seat and the vernier adjusted to zero and in contact '^ith the thumbscrew. If the nendulum, on being released by the trip and allov/ed to s',7ing free, gives a final angle of exactly 30° » ^5°f o^ S0° , as the case may be, the irachine is. in adjustment. If, on the other hand, the dial reading after operation is less than 30° » ^5°» o^ 6o°, as the case may be, the end of the machine must be raised by mesns of the adjusting screws provided, care being taken to keep the machine level laterally by advancing both screws the same amount. If the dial reading is more than 30°, 45° , or 60°, the end of the machine must be lowered. After raising or lov/ering the end of the machine, the zero of the vernier should again be set to correspond to that of the dial. The machine should be operated as before without a specimen, and if the final angle does not read exactly 30°, ^5°. oi" 60° as desired, the manipulations should be continued until the -oondulum '"hen re- leased gives the desired final angle, and, on coming to rest in the vertical position, a zero dial reading. The initial an^ele will then exceed the nominal 30°, ^5°i 0^ 60° by a small reading "hich repn sents the friction compensation. 'e- The cable is slack when the pendulum is in the initial -oosition. Its amount of free play is adjusted by moving the specimen suDiDort plate (u) by means of the wheel (t), so that the pendulum ar)plies the force when it s'^ings to -rithin about' 15° of the vertical, the object being to produce com-plete failure by the time the downward swing is completed. With very tough material earlier contact should be provided. Use of Toughness Machine Size of Specimen It is preferable, wherever possible, to use the standard test specimen, whicn is 5/g by 5/g by 10 inches tested over an 8-inch span, since no siir;ple law has as yet been arrived at by which tne data may be reduced to an absolute basis independent of variations in span and depth of specimen. A snecial table is -provided, by means of ?fhich toughness, represented by the total work in inch-pounds ex- pended by the pendulum in breaking the piece, can be read directly without computation. When the machine is used for acceptance tests, it is at least essential that the specimen be accurately cut to the same size as that upon which the minim-'jm acceptance values have been- e^.tablished. The load should be ap-olied to the tangential face grain side of the specimen. 1308 - 6 - In special cases, tvhen it is necessary to dep=rt from the standord size, the width only should be varied and this not to exceed about one-third the standard if com-D^rison is to be made -'ith standard pieces on a strictly nroportional basis. Specimens of less than standard width should be tested with the full standard dimension (depth) in the direction of the pull. Operation . In the operation of th*^ machine the position of the weight and initial angle of pondulum must be such that complete failure is obtained viith a single drop. On the other hand, the pendulum should not sv'ing too far after failure of the specimen. For the most satis- factory results there should preferably be a difference in initial and final angle of "at least 10° for the a.verage specimen. Weight Positions .' In general, not more than five ''/eight positions '■■ill be found on- the standard machine. These will be sufficient to meet the ■ ordinary requirements of use, although other machine capacities may be obtained by means of supiolementary pendulum weights. 'The weight positions provided are numbered from tiie lower end of the pendulum, the number of each position being stam^oed on the bar so as to appear immediately above the ?/eight when bolted in place, ; , WETFOD OF LOCATING POSITION OF HOLES FOR ATTACHING SLIDING WEIGHT A theoretical method of calculating the distance of the -Areight from the axis for the several machine capacities, when given the weight and measurement of the several parts, and a means of calculat- ing the effect of the metal removed in boring the several holes is herein presented. Calculations by this method show that the effect of the removal of the metal for the holes causes a maximum error of only about 0.2 percent. The effect of borine- the holes can, therefore, be icnoredii The simplest method of loc.ting the hole positions is therefore as follows: 1. Remove the cable from the drum, but replace .the cable clips. 2. Measure the distance from the center of axis of rotation to the center of the pin at the end of the pendulum. - 7 - 3. Support the pendvd'am (v.ith the sliding weight) horizontally, letting the shaft at the axis of rotation serve as one fulcrum. Support the other end of the center of the end pin on a sensitive platform scale. The weight is then slid on the pendulum bar until the scale indicates the required reaction, as calculated from the desired machine constants and the length of moment arm as determined under 2 above. The position of the weight is then spotted on the bar with a special pointed center pin. Empirical Method Calculation of required reaction on scale, when sliding weight is in proper position to provide specified machine constants. Extra moment due to unbored pendulum 1.33 inch-pounds. Position 1. WL - 1546 inch-pounds ^L + 1.55 » 1547,5 Position 2. Position 5. Position 4. T^ - 1547.5 52.17 « 41.88 pounds WL - 1222 To - 1225.5 32.17 - 58.03 pounds WL - 1055 T, - 1056.5 32.17 « 52.85 pounds WL - 685 T4 - 886.5 - 52.17 27.55 pounds 2 ii 39707 F - 8 - Position 5. WL - 716 T5 ■ 717«3 • 22.50 pounds 52.17 The establishment of the specified machine constants by this empirical method then consists in sliding the weight on the pendtilum bar until the scale indicates the required reaction, as computed above. The position of the weight is then spotted on the bar with a spiral pointed center pin. A sample calculation follows. If desired the positions can be checked by measurements calculated from the theoretical method herein presented. Deteraination of Positions of Sliding Weight F. P. L. Toughness Machine Calculation Method 1. Measure reaction R and distance L before boring holes in rod. Then RL - moment of rod and fixed attachments. 2. Let M^, Mg, etc, specified moment with sliding weight at l-^, 1^, etc. (See page 11 for values of machine constants for different weight positions.) W - weight of sliding weight. Z U i-ilOb t - 9 - Find Xz - Xi from the relation W(X2-Xi) = M2 - Ml find X3 - Xi, X4 - Xi, and X5 - X^, similarly. Distaijjee bj-tTreen holes are now knotm and all that remains is to find X^. 3. Let w ■ Weight of metal to be bored from one hole. Then ■^1 ♦ RL - w(Xi + Xg + X5 + X4 ♦ X5) - WXi ♦ RL - w[5Xi + (X2 - Xi) + (X5 - Xi) ♦ (X4 - Xi) * (X5 - Xi) ] - Ml Whence X^ is readily found. f:x ample : Weight of sliding weight - 55.00 pounds Weight of pin for sliding weight ■ . 20 pounds Weight of sliding weight and pin - 55.20 pounds Weight of Pendlum including drum and cable clips, and end pin 52.64 pounds. Distance from center of rotation to center of end pin (L) ■ 32.17 inches. Weight of reaction of pendulum horizontal, supported at other end by shaft, P » 4.40 pounds. (Sliding weight not included.) R=4-.40 lbs. 32.17 ^, u 39709 F - 10 - Sliding Weight + pin - 53.20 lbs. 4.4-0 lbs. M « 32.17 X 4.40 » 141.55 inch-pounds. Machine Constants Position 12 3 4 5 Capacity (Inch-Pounds) 1432 1346 1222 1055 885 716 X2 - Xi - 885 - 716 - 169 - 3.177 53.20 53.20 X3 - Ii - 1055 - 716 53.20 339 53.20 X4 - Xt - 1222 - 716 - 506 55.20 53.20 6.372 9.511 X5 - Xi - 1346 - 716 - 630 - 11.842 55.20 53.20 Metal bored from each hole (3/8 inch diameter hole in bar 1/2 inch thick) ■ .0157 pound. 716 - 53.20 Xi ^ (32.17 x 4.40) - .0157 (5Xi + (Xg - Xi) ♦ (X5 - Xi) ♦ (X4 - Xl) ♦ (X5 - Xl)) 53.20 Xl - .0785 Xl - 716 - 141.55 + 0.49 53,12 Xl - 574.94 SXi - 5 (10.82) - 54.10 Xl - 10.82 inches .0157 x 85.00 - 1.33 u. iiTiO T Computation of Results Values have been tabulated from the solution of the follov:ing formula: Toughness (Work per specimen, inch-pounds) = wl (cos Ap - cos Aj_) v;here w = weight of the pendulum in pounds 1 = distance from the center of the supporting axis to the center of gravity of the pendulum A-|_ = initial angle (Since friction is compensated for in the machine adjustment, the initial angle may be regarded as exactly 30°, ^5°, or 60° , as the case may beO Ap = final angle the pendulum makes vith the vertical after failure of the test specimen. The product "vl" is a machine constant v/hich has been adopted as stand&rd for Forest Products Laboratory toughness machines, and is a part of the inherent design. The poise used has a v-eight of about 75 pounds. The values of 7/1 for various positions of the weight are as follows: Position of the weight Value of wl inch-pounds 1 2 1,U32 1.3U6 1,222 3 h 5 . 1,055 885 716 De script ion of Table The table which has been prei^r^red for convenience in obtaining toughness values from the fiml angle at failure is divided into three sections — the first for r-.n initial angle of 60° , the second for U5<^, and the third for 30°. In eacn section the work values are calculated for the different weight oositions. Toughness values for position No. may be obtained by m-'ol tip lying the corresDOnding values for position No. 5 by 2. The table can be extended as necessity re- quires. I3O8 -12- By means of the vernier provided, the angle may be read to minutes, vhile the table gives toiighness values for tenths of a degree only. With standard specimens, therefore, the vernier need ordinarily be read only to the nearest tenth of a degree. Example ; The following data rrere obtained on a ^/^rhy 5/2- by 10-inch Sitka spruce specimen tested on an S-inch span: Weight in position Fo . h Initial angle, ^5" (nominal) Final angle, 29°05' To find the toughness, turn to the table headed "Initial angle U5° plus friction". Kead down the first column, headed "Final angle", until 29.1° (the nearest equivalent to 29°05') is reached. Opposite this value, and in the column headed "Position of weight No. U" , the figures 1^7*5 appear. The work required to break the specimen, and hence its toughness value, is therefore IU7.5 inch-pounds. Spruce specimens of standard size tested in accordance with the preceding instructions (load applied to the tangential face) are con- sidered to represent spruce acceptable for use in aircraft construc- tion if they have an average toughness value of at least 9*^ inch- pounds per specimen (75 inch-pounds if the specific gravity based on weight and volume of oven-dry wood is not less than O.36). These acceptance values are to be applied to the average of four or more specimens and the range in individual test values should not exceed 1 to 2-1/2 under the acceptable among four specimens. Carp should be taken to obtain enough specimens from each piece of material to be used so as to get a representative test of the member. In no case should less than t^!"0 specimens from each end of a member sioaced as v.'idely apart as possible be considered as giving a fair value of the toughness of the member. I.Iinimum acceptance requirements for a niimber of sioecies includ- ing spruce are given in the follov;ing tabulation: I3O8 -13- uiniiTiUm acceptance requirements for aircraft woods based on tests in the Forest Products Laboratory toughness machine 1 Species of v^rood Size of s-oecimen Span Minim'om avera^:e acccTDtable tougimess With specific gravity limitation Minimum : Minimum specific : average gravity-: toughness- ¥ithout specific gravity limitation Minimum average ^ toughness-^ Inches White ash....:5/S x 5/g x 10 Yellow birch. :3/U x 3/U x 12 : Douglas-fir. .: 5/8 x 5/g x 10 : White oak :3/U x 3/U x 12 : Sitka spruce.: 5/8 x 5/8 x 10 : Black walnut. :3/U x 3/U x 12 : Inches : Inch-pounds :per specimen Inch-nounds per SToecimen 8 ; 0.56 : 150 : 175 10 : .5S : 225 : 2 So 8 : .1+5 : 95 : 115 10 : .62 : 175 : 200 8 : .36 : 75 90 10 : .52 : 150 : 175 —The load is to be applied to the tangential face of the specimen. 2 —Based on weight and volume of oven-dry wood. 3These values are to be applied to the average of U or more test snecimens, and the range in individual test values used in arriving at the average should not exceed 1 to 2-1/2 among U specimens. A number of terting machine manufacturers are pre-nared to furnish the Forest Products Laboratory toughness testing machine on order or complete blueprints necessary for the conrtruction of this machine will upon request be released to any Madison, V;is., reproduction firm by the Laboratory. I3O8 Page 1 60P Page 2 60° INITIAL AIWLE 60° PLUS FRICTION ?tnal angle Degrees' 1 Posltlon of Weight 1 2 3 4 5 ! *i- 1546liil. 1222!irl- 1055 jd . 885 wl. . 716 n.naX IHTTIAL AICLE 60° PLCS FRICTION Position of Weight .1 .2 .5 .4 .5 .6 .7 .8 .9 1.0 1.1 .2 .5 .4 .5 .6 .7 .8 .9 2.0 2.1 .2 .5 .4 .5 .6 .7 .8 .9 5.0 5.1 .2 .3 .4 .5 .6 .7 .8 .9 4.0 4.1 .2 .5 .4 .5 .6 .7 .8 .9 5,0 Inch 675.1 675.1 675.1 675.1 673.1 675.0 673.0 673.0 673.0 672.8 672.8 672.8 672.7 672.7 672.7 672.5 672.5 572.4 672.4 672.5 672.1 672.1 672.0 671.9 671.7 671.7 671.6 571.5 671.3 671.2 67ia 670.9 670.8 670.7 670.5 670,4 670.3 670 J. 670.0 669.9 669.6 sae.s 669.5 669,2 668,9 668. 8 668.5 568.4 668.1 688.0 SU.O Ql.O 511.0 SU.O sa.o 510,8 sia.8 510. 8 510.8 S10.7 S10.7 610.7 ao.6 ao.6 610.6 ao.5 610.5 510.3 ao.5 S10.2 610.1 ao.i 610.0 609.9 609.7 609.7 609.6 609.5 609.4 809.2 609 a 609.0 608.9 608,8 808,6 608,5 908.4 608,5 608.2 608.0 607.8 607.7 607.5 607,4 607,2 p o n D d s r 527.5 i 527.5 527. 5 527.5 i 527.5 527. 4 527.4 527,4 527.4 527.3 527.3 527.3 527.2 527.2 527.2 S27.0 527.0 526.9 526.9 526.8 526.7 525.7 526.5 526.5 526.4 525,9 525,8 525,7 525.6 525,5 525,4 525,5 525. 1 525.0 524.9 524,7 524.6 524.5 524,4 524,2 442.4 358.1 442.4 358.1 442.4 558.1 442.4 338.1 442.4 358.1 442.5 358.C 442.5 358.0 442.5 558.0 442.3 358.0 442.2 558.0 442.2 558.0 442.2 358.0 442.1 357.9 442.1 357,9 442.1 557.9 442,0 i 357.8 442.0 ' 357.8 442.0 , 357.8 442.0 357.8 441.9 i 557,7 441.8 441.8 441.7 441.6 441.5 525.4 441.5 526.3 441.4 526.2 441.3 526.1 ' 441.2 526.0 441.2 e07,l 524 J. 606.8 525.9 606.7 i 525.8 606.4 I 523.6 606.5 ; 525,5 441,1 441.0 440.9 440.8 440.7 440.6 440.5 440.4 440.4 440.5 440.1 440.0 440.0 439,8 439.6 459.5 439.4 439.5 439.1 439.0 557.6 557.5 357.5 557.5 557.4 557.4 557.3 357.2 557.2 557.1 357.0 557.0 356.9 356.8 556,7 356,7 355.6 556,5 356.5 356,4 356,2 556.2 356a 556.0 555,9 555.8 555.7 555.6 555.5 355.4 1 Jwl- 1546lwl. 1222inl- 1055 irl- 885' wl- 716 1 agrees: I n e h - p u n i 8 5.1 667.7 606,1 525.2 438.9 355.2 .2 667.6 606.0 523.1 458.8 355.2 .5 667.3 605.7 522.9 438.5 355.0 .4 667.2 605.6 522.8 458.5 355.0 ,5 1 666.9 905.3 522.5 438.3 354.8 ,6 : 666.6 605.1 522.4 458.1 554.7 .7 566.5 605.0 522.3 458.1 354.6 ,8 666.2 604.7 522.1 457.9 354.S .9 66^.0 904.5 521.9 437,7 354.3 6.0 665.7 904.2 521.7 437.5 354.2 6.1 665.4 904.0 521.5 437.3 354.0 .2 6ffi.3 903.9 521.? 437.3 354.0 .3 665.0 903.6 521.1 437.1 353.8 .4 664.7 903.4 520.9 436.9 353.7 ,5 ; .6 ■ 654. 5 905.1 520.7 436.7 555.5 664.2 902,9 520.5 436.6 553.4 .7 653.9 602.7 520.5 436.4 3S3.2 .8 553.7 602.4 520.1 436.2 353.1 .9 663.4 602,2 519.9 43 6.0 353.0 7.0 563.0 601.8 519.6 455.9 352.7 7.1 662.7 801.5 51S.3 455.5 352.6 .2 662.5 901.3 a9.i 435.4 352.5 ,5 662.2 601.1 518,9 435.2 552.5 .4 661.9 600.8 518.7 435.0 352.2 .5 561.5 600.5 518.4 454,8 551.9 ,6 661.2 600.2 518.2 434.6 351.8 ,7 ; ea.o 600.0 518.0 434.4 351.7 .8 i 593.6 599.5 517.7 454.2 351.4 .9 590. 3 599,4 517.4 434.0 551.5 8.0 690.O 599.1 517.2 433.8 5a.2 8.1 ! 659,5 596.7 a 6.9 433.5 350.9 .2 1 659.4 598.5 516.7 433,4 350.8 .5 659.0 598,1 516.4 435a 550.6 ,4 i 658.7 597.9 516.2 432,9 550,4 .5 ; 658,3 597,5 515.9 432.7 350 JJ .6 : 658,0 597.3 515.7 432.5 350.1 ,7 557.6 596.9 515.3 432.2 349.9 ,8 657.2 596.5 515.0 432.0 549,7 •9 ; 556.9 596.5 514.8 431.8 349.5 9.0 655.5 595.9 514.5 431.5 349,5 9.1 656.1 595.6 514.2 431.2 549.1 .2 655.7 595.2 513.9 431.0 348.9 ,5 655.5 595.0 513.6 430.8 548.7 ,4 655,0 594.6 513.5 430.5 546.5 ,5 654.5 594.2 515.0 430.5 548.5 ,6 654.2 593.9 512.7 430.0 548,1 ,7 555,8 595. S 512.4 429.7 547.9 ,8 655,4 593.1 a2.i 429,5 347,7 ,9 1 655.0 59E.8 511.7 429.2 547.4 0,0 ■ 652.6 592.4 511.4 428.9 547.2 z li 39711 F Page 8 INITIAL ANOLE 60° PLDS FRICTION Page 4 60° INITIAL ANOLE 60° PLUS FRICTION Pinal Position of Weight angle 1 2 5 4 5 wl- 1346 wl- 1222 wl- 1055 wl- 885 wl- 716 Degrees In< jh - pounds 10.1 652.2 592.0 511.1 428.7 547.0 .2 651.8 591.7 510.8 428.4 546.8 .5 651.4 591.3 510.5 428.1 546.6 .4 651.0 590.9 510.2 427.9 346.4 .5 650.6 590.6 509.9 427.6 546,1 .6 650.1 590.1 509.4 427.5 545.9 .7 649.7 589.7 509.1 427.0 545.6 .8 649.3 589.5 508.8 426.7 545.4 .9 648.9 589.0 508.5 426.5 545.2 11.0 648.3 588.5 508.1 426.1 344.9 11.1 647.9 588.1 507.7 425.8 344.7 .2 647.5 587.7 507.4 425.6 344.5 .5 647.0 587,5 507.0 425.2 544.2 .4 646.6 586.9 506.7 425.0 544.0 .5 646.0 586.4 506.3 424.6 545.7 .6 645.6 586.0 505.9 424.3 545.5 .7 645.1 585.5 505.5 424.0 545.2 .8 644.7 585.2 505.2 425.7 545.0 .9 644.1 584.7 504.8 425.4 542.7 IZ.O 643.6 584.2 504.4 425.0 542.4 12.1 643.2 583.8 504.0 422.8 342.2 .2 642.7 585.5 505.6 422.4 341.9 .3 642.1 582.9 505.2 422.0 341.6 .4 641.7 582.5 502.9 421.8 341.4 .5 641.2 582.0 502.5 421.4 541.1 .6 640.6 581.5 502.0 421.1 540.8 .7 640.1 581.0 501.6 420.7 540.6 .8 639.6 580.5 501.2 420.4 340.5 .9 639.2 580.2 500.9 420.1 540.1 15.0 638.6 579.7 500.5 419.7 559.8 13.1 638.1 579.2 500.0 419.4 559.5 .2 637.5 578.7 499.6 419.0 559.2 .3 637.0 578.2 499.2 418.7 558.9 .4 656.5 577.8 498.8 418.5 558.6 .5 635.9 577.2 498.4 416.0 558.5 .6 635.4 576.7 497.9 417.6 558.1 .7 634.7 576.1 497.4 417.2 557.7 .8 634.2 575.6 497.0 416.8 557.4 .9 635.6 575.2 496.6 416.5 557.1 14.0 635.1 574.7 496.1 416.1 556.8 14.1 652.6 574.2 495.7 415.8 556.6 .2 651.9 575.6 495.2 415.5 556.2 .B 651.4 575.1 494.8 415.0 555.9 .4 650.8 572.6 494.5 414.6 555.6 .5 650.1 572.0 495.8 414.2 555.5 .6 629.6 571. S 495.4 415.8 555.0 .7 629.1 571.0 495.0 415.5 354.7 .8 628.4 570. 4 492.4 415.0 554.9 .9 627.9 569.9 492.0 412.7 554.0 15.0 627.2 569.5 491.5 412.2 1 555.7 Final angle 15.1 .2 .5 .4 .5 .6 .7 .8 .9 16.0 16.1 .2 .5 .4 .5 .6 .7 .8 .9 17.0 17.1 .2 .5 .4 .5 .6 .7 .B .9 18.0 18.1 .2 .5 .4 .5 .6 .7 .8 .9 19.0 19.1 .2 .8 .4 .5 .6 .7 .8 .9 20.0 Position of Welj^ 1 2 3 4 5 wl- 1546 wl- 1222 wl-1055 wl- 685 wl- 716 626.6 568.8 491.1 411.9 555.4 626.0 568.2 490.5 411.4 535.0 { 625.4 567.7 490.1 411.1 552.8 624.8 567.1 489.6 410.6 532.4 624.1 566.5 489.1 410.2 352.0 625.5 566.0 488.6 409.8 331,8 622.9 565.4 488.1 409.4 351.4 622.2 564.8 487.6 408.9 351.0 621.5 564.2 487.1 408.5 550.7 621.0 565.7 486.6 408.2 550.4 620.5 563.1 486.1 407.7 550.0 619.6 562.4 485.6 1 407.5 529.7 619.0 561.8 485.1 406.8 529.5 618.5 561.2 484.5 406.4 529.0 617.6 560.6 484.0 405.9 528.6 617.0 560.0 485.5 405.5 328.2 616.5 559.4 482.9 405.1 327.9 615.6 558.8 482.4 404.6 527.5 614.9 558.2 481.9 404.2 527.2 614.5 557,6 481.4 403,7 326.8 615.6 557.0 480.8 403.3 326.5 612.9 556.5 480.5 402.8 526.1 612.2 555.7 479.8 402.4 525.7 611.4 555.0 479.2 401.9 525.5 610.8 554.4 478.6 401.4 524.9 610.1 558.8 478.1 401.0 524.6 609.4 555. 2 477.6 400.5 524.2 608.6 552.4 476.9 400.0 525.8 607.9 551.8 476.4 599.6 525.4 607.5 551.2 475.9 599.1 525.1 606.5 550.5 475.2 598.6 322.7 605.8 549.9 474.7 598,2 322.5 605.0 549.1 474.1 597,6 321.9 604.5 548.5 475.6 597.2 321.5 605.5 547.8 472.9 596.6 521.1 602.8 547.2 474.4 596.2 520.7 602.0 546.4 471,8 595.7 520.5 601.2 545.7 471.1 595.1 519.9 600.5 545.1 470.6 594.7 519.5 599.7 544.4 470.0 594.2 519.1 598.9 545.6 469.5 595.6 518.6 598.2 545.0 468.6 595.2 518.5 597.4 542.5 468.2 592.7 517.9 596.6 541.6 467.5 592.1 517.4 595.8 540.8 466.9 591.6 517.0 596.1 540.2 466.4 591.2 516.6 594.8 559.5 465.8 590.6 516.2 598. S 558.7 465.1 590.1 515.8 1 592.7 558.0 464.5 589.6 515.4 j 591.9 557.5 465.9 589.0 514.9 Z U 39712 F Page 5 60° Page 6 60° INITIAL ANOLE 60° PLUS rai'JTION INTi'IAL ANGLE 60° PLUS FRICTION Final Position of Weight angle 1 2 5 4 5 wl- 15461 Hi- 1222 |wl- 1055 |wl- SSSlwi- 716 Degrees ] n h - p u n d s 20.1 591.1 1 556.5 465.2 588.5 514.5 .2 590.5 555.8 462.6 588.0 314.1 .5 589,5 555.1 462.0 387.4 313.6 .4 588.7 554.5 4SL.3 386.9 313.2 .5 587.9 555.6 460.7 386.4 312,8 .6 587.1 552.9 460.1 385.9 312,3 .7 586.1 552.0 459.5 385.2 511,8 .8 585.5 551.5 458.7 384.7 311.4 .9 584.5 530.6 458.1 384.2 511.0 21.0 585.7 529.8 457.4 383.6 31D.6 21.1 582.9 529.1 456.8 385.1 510.1 .2 561.9 528.2 456.0 382.5 509.6 .5 581.1 527.5 455.4 382.0 309.2 .4 580.5 52 6.8 454.8 581.4 308.8 .5 579.4 525.9 454.0 380,8 308.5 .6 578.6 525.2 453.4 380,5 307.8 .7 577.6 824.5 452.7 379,7 307.5 .8 575.6 525.6 452.0 579,1 506.9 .9 575,9 522.7 451.S 578,5 506.4 22.0 S7S,1 522.0 450,7 378,0 306.0 22.1 574,1 521.1 449.9 377,4 305.5 .2 575.5 520.4 449.5 376,8 305.0 .5 572,4 519.6 448.6 376.2 504,5 .4 571,4 518.7 447.8 375.6 504,0 .5 570.6 518.0 447.2 375.1 503,6 .6 569,7 517.1 446.4 374.4 503,1 .7 588.8 516.5 445.7 373.8 302.6 .8 567.9 515.5 445.1 375.5 502.2 .9 567.0 514.7 444.5 372.7 301,7 25,0 566.1 515.8 445.6 572.1 501,2 25.1 565.1 515.0 442.9 371.4 500,7 .2 S64.2 512.1 442.1 370.8 500.2 .5 565.2 511.5 441.4 370,2 299.7 .4 562.4 510.5 440.8 569.7 299.2 .5 5Q..5 509.7 440.0 389.0 298.7 .6 560,5 508.8 459.3 368.4 298.2 .7 559,6 508.0 458.5 367.8 297.7 .8 558.7 507.1 437.8 567.2 297.2 .9 557,7 506.2 437.1 366.6 296.7 24.0 556,6 505.5 436.2 365.9 296.2 24.1 555,7 504.4 435.5 565.2 295.7 .2 554,8 503.6 454.7 564.6 295.2 .5 555,8 502.7 454.0 564.0 294.7 .4 552.9 501.8 453.5 365.4 294.2 .6 551,9 501.0 432.5 562.8 293.6 .6 550,9 500.0 431.7 362.1 293.1 .7 549,9 499.2 450,9 3a.4 292.6 .6 549.0 498.5 450.2 560.8 292.1 .9 547.9 497.5 429.4 560.1 291.5 25,0 546.9 496.5 428.6 559.5 291,0 Z U 39713 F Pinal Position of Weight angle 1 2 5 4 5 wl- 1546, wl -1222 wl- 10551 wl- 8851 wl- 716 Degrees I n h - p u n d s 25,1 546,0 495.6 427.9 358.9 290.5 .2 544.9 494.6 427.0 358.2 289.9 ,5 544.0 493.8 426.3 357.5 289.4 ,4 542,9 492.8 425.5 556.8 288.9 .5 542,0 492.3 424.7 356.2 288.3 ,6 540. 491.0 423.9 555.5 287.8 ,7 559.9 490.1 425.1 554.9 287.5 ,8 538.9 489.1 422.3 554.2 286.7 .9 537.9 488.3 421.6 355.6 286.2 26.0 536.9 487.5 420.7 352.9 285.6 26.1 535.8 486.3 419.9 352.1 285.1 .2 554.8 485.5 419.1 551.5 284.6 .3 533.8 484.5 418.3 350.8 284.0 .4 532.7 483.5 417.4 350.1 283.4 .5 531.6 482.5 416.6 349.4 282.8 .6 550.7 481,7 'a5.9 348.8 282. S .7 529,6 480.7 415.0 348.1 281.8 ,8 528,5 479,7 ffl.4.2 547.4 281.2 ,9 527,4 478,7 415.5 546.7 280.6 27,0 526,4 477,8 412.5 546.0 280.0 27,1 525.3 476,8 411.6 345.2 279.5 .2 524.2 475.8 410.8 544.5 278.9 ,5 525.1 474.8 409.9 543.8 278.5 ,4 522.0 475.9 409.1 345.1 277.7 ,5 521.0 472,9 408.5 542.4 277.2 .6 519,9 471.9 407.4 341.7 276.6 ,7 518,8 470.9 406.6 341.0 276.0 ,8 517,7 470,0 405.7 340.3 275.5 ,9 516.7 469.0 404.9 559.6 274.9 28.0 515,4 467.9 403.9 558,8 274.2 28.1 514.4 466.9 403.1 538,1 273.7 .2 513.3 465.9 402.2 357.4 273.1 ,S 512.2 464.9 401.4 556.7 272.5 .4 SU.O 465.8 400.5 555.9 271.9 .5 509.9 462.9 599.6 555.2 271.3 ,6 508,9 4a.9 59B.8 554.4 270.7 .7 507.6 460.8 597.8 553.7 270.1 ,8 506.6 459,8 597.0 552.9 269.5 ,9 505.5 458,8 S96.1 552.2 268.9 29.0 504.5 457,7 595.2 531.4 268.3 29,1 503.2 456.8 594.5 530.7 267.7 ,2 502.0 455.7 595.4 529.9 267.1 ,5 500.9 454.7 592.5 529.2 266.5 .4 499.7 455.6 591.6 528.4 265.9 .5 498,6 452.6 590.7 527.7 265.5 ,6 497,4 451,5 589,8 526.9 264.6 ,7 496,2 450.4 588,8 526.1 264.0 ,8 495,1 449,4 388,0 525.4 265.4 .9 496,9 448.5 587.1 524.6 262.8 50,0 492,7 447.2 586,1 523.8 1 i 1 262.1 60° INITIAL ANOLE 60 PLUS FRICTION jYi-va Poaitlon of Weight Rn^e 1 2 5 4 5 Iwl. 1546 Hi- 1222|iil- 1055|wl- 885 [wl- 716 Degrees I neb - p u n d 8 SO.l 491.6 446.2 585.5 323.1 2a.6 .2 490.4 445.1 584.5 322.3 260.9 .5 489.2 444.0 585.4 321.5 260.5 .4 468.0 442.9 382,4 320.7 259.6 .5 486.8 441.8 581.5 319.9 259.0 .6 485.6 44D.7 580,5 319.1 256.3 .7 484.5 439.8 379.7 518.4 257.8 .6 483.3 438.7 378. 7 317.6 257,1 .9 482.1 437.6 377.8 316.8 256.5 31.0 480.9 436.5 376.8 316.0 255.8 51.1 479.6 435.4 375.9 515.2 255.2 .2 478.4 434.3 574.9 314,5 254.5 .3 477.2 435.2 374.0 313.7 255.9 .4 476.0 432.1 373.0 312.9 255.5 .5 474.7 430.8 372.0 312.0 252,5 .6 473.4 429.7 371.0 311.2 251.9 .7 472.2 428.6 370.1 510.4 251.2 .8 471.0 427.6 569.1 309.6 250.6 .9 469.8 426.4 568.2 308.8 250.0 52.0 468.5 425.2 567.1 307.9 ?,49.2 52.1 467.3 424.1 366.2 307.1 248.6 .2 466.0 425.0 365.2 306.3 248.0 .5 464.8 421.9 364.3 305.5 247.5 .4 463.5 420.7 363.2 304.6 24Q.6 .5 462.3 419.6 362.5 506.8 245.9 .6 461.1 418.5 351.3 303.0 245.3 .7 459. 7 417. S 3ffJ.5 302.2 244.6 .8 458.5 416.2 359.3 501.4 243.9 .9 457.2 415.0 358.5 500.5 243.2 53.0 455.9 413,9 557.3 299.7 242.6 55.1 454.6 412.6 556.5 298.8 241,9 .2 453.4 411.5 355.3 298.0 241.2 .3 452.0 410.5 354.2 297.1 240,5 .4 450.7 409.1 353.2 296.2 239.8 .5 449.5 408.0 352.2 295.4 259.1 .6 44B.1 406.8 551.2 294.5 238.4 .7 446.9 405.7 350.2 293.7 237.8 .8 445.6 404.5 549.2 292.9 237.1 .9 444.2 405.2 348.1 292.0 256.4 54.0 442.9 402.0 547.1 291.1 235.6 54.1 441.7 400.9 346.1 290.3 235.0 .2 440.3 399.7 345.1 289.4 234.5 .5 439.0 398.5 344.0 288.5 253.6 .4 437.6 397.2 543.0 287.6 232.8 .5 436.3 396.0 341.9 286.8 232.1 .6 434.9 394.8 343. 8 285.9 221.4 .7 453.6 593.6 339.8 285.0 250.7 .8 452.5 592.4 538.7 284.1 250.0 .9 431.0 891.3 337.8 283.3 229.5 35.0 429.7 590.0 336.7 282.4 228.6 Final angle Degrees SS.l .2 ,3 .4 .5 ,6 ,7 .8 .9 36.0 56.1 .2 .5 .4 .5 .6 .7 .8 .9 57.0 37.1 .2 ,5 ,4 .5 .6 .7 .8 .9 58.0 38,1 .2 .3 .4 .5 .6 .7 .8 .9 59.0 59.1 .2 .5 .4 .5 ,6 .7 .8 .9 40.0 Page 8 60° INITIAL ANGLE 60° PLUS FRICTION Position of Wel^t 12 3 4 I neb - 4^8.2 388.7 426.9 387.5 425.5 386.2 424.2 585.0 422,6 383.8 421,5 582.6 420.1 581.4 418,8 380.1 417.5 378.8 416.0 377.6 414.6 376.4 415.3 375.1 411.8 373.8 410.4 372.6 1 409.1 571.3 407.6 370.0 406.3 568.8 404.8 367.4 403.4 366.2 402.0 364.9 400.6 399.1 397.8 396.3 595.0 593.5 392.0 390.7 389,2 587,7 586.2 364.9 383.4 381.9 580.4 378.9 377,5 576.0 574.5 575.0 371.5 570.1 568.6 367,1 565.6 564.1 562.7 561.2 359.7 558.1 363.6 362.3 3a. 1 359.7 358.5 357.2 355.8 354.6 353.3 551,9 550,6 549,3 348,0 546,7 345.5 344.0 542.6 541.5 539.9 558.6 537.3 355.9 334.6 533.2 531.9 530.5 529.2 527.8 526.5 325,0 3 u n < 1 a 335.6 281,5 227,8 334.5 280.6 227,1 353.5 279.7 226.4 552.4 278.8 225.7 531.4 277.9 225,0 330.5 277.0 224,2 529.2 276.1 225,5 528.2 275,5 222,8 527.0 274,5 222,0 326.0 275.4 221 .5 X4.9 272.5 220,6 323.9 271.6 219,9 322.7 270.7 219,1 521.7 269.8 218.4 320.6 258.9 217.7 319.4 267.9 216.9 318.4 267.0 216.2 317.2 266.1 215.4 316.2 265.2 214.7 315.0 264.2 215,9 313.9 265.3 215.1 312.8 262.3 212.4 311.7 2a.5 211.6 310.6 280.5 210.9 309.5 259.6 210.1 306.4 258.6 209.4 307,2 257.6 208,6 506,1 256.8 207,8 505.0 255.6 207,1 505,8 254.8 20 6,3 302,7 253,8 205.5 301,6 255,0 204.6 500.4 252,0 204.0 299.5 251.0 203.2 298.1 250,0 202.4 297,0 249.1 201,6 295.8 248.1 200.8 294.6 247.1 200.0 293.5 246.1 199.5 292.5 245.2 196.5 291.2 244.2 197.7 290.0 245.2 196.9 288.8 242.5 196.1 287.7 241.5 1 195.5 286.5 240.5 194.5 285.4 259,5 198.7 284.2 258,4 192.9 283.0 257.4 1 192.2 281.9 256.4 191.4 280.6 235,4 190.5 2 w 3971'+ F Page 9 60° INTTIAI ANGLE 600 PUT8 FRICTIOH Position of Walght angle 1 2 S 4 6 j ^- 1546[wl' 1222 |wl- 1066[wl- 886|wl-'716 loeh-pouBd* 40.1 366.6 32i.t 279.6 234.4 ^189.7 .? S5&.1 322.3 278.5 253.4 188.9 .S 363.6 321.0 277.1 • 232.4 188.2 .4 36t.0 519.6 276.9 231,4 187.5 .S 360.5 518.2 274.7 230.4 186.6 .6 349.1 516.8 275.6 229.4 186.7 .7 347.4 516.4 272.5 228.4 184.9 .a 346.0 514.0 271.1 227.4 184.1 .9 544.6 512.7 870.0 226.4 183.5 41.0 S4t.^ 311.2 268.7 225.4 182.4 41.1 341.4 309.9 267.6 224.4 181.6 .2 339.6 308.4 266.5 223.3 180.8 .5 338.5 307.1 266.1 222.3 180.0 .4 356.7 306.6 265.8 221.3 179.1 .5 336.2 504.5 262.7 220.5 178.8 .6 353.6 302.8 261.4 219.2 177.6 .7 532.0 501.5 260.1 218.? 176.6 .8 550.6 300.0 269.0 217.2 176.8 .9 528.9 298.6 267.7 216. » 176.0 42.0 327.5 297.0 266.6 216.1 174.1 42.1 826.8 296.T 266.5 214.1 173.3 .2 824.2 294.2 264.0 213.1 172.6 .3 322.6 292.8 262.8 212.0 171.6 .4 321.1 291.4 261.6 211.0 170.8 ■ .6 319.4 290.0 260.5 210.0 170.0 .6 317.8 288.5 249.1 208.9 169.1 .7 316.2 287.0 247.8 207.8 166.2 .8 314.6 286.6 246.6 206.8 167.4 .9 315.0 284.1 246.3 206.7 166.6 43.0 sii.e 282.8 244.1 204.7 166.7 43. 1 309.9 281.3 242.8 205.7 164.9 .2 308.5 279.8 241.6 202.6 164.0 .8 306.7 278.4 240.3 201.6 163.2 .4 306.0 276.9 239.0 200.6 162.3 .6 505.4 276.4 237.8 199.4 161.4 .6 501.8 274.0 256.6 198.4 160.6 .T 800.2 272.6 256.5 197.5 169.7 .8 298.6 271.0 254.0 196.2 168.9 .9 297.0 269.6 252.7 196.2 158.0 44.0 296.2 268.0 231.3 194.0 167.1 44.1 293.6 266.6 230.1 195.0 166.2 .< 292.0 266.0 228.8 191.9 166.3 .3 290.4 263.6 227.6 190.8 164.6 .4 288.8 262.1 226.5 189.8 163.6 .6 287.1 260.6 226.0 188.7 16S.e .6 286.4 259.0 225.6 187.6 161.8 .7 283.8 267.6 222.4 186.6 161.0 .8 282.t 266.1 221.1 186.6 160.1 .9 280.4 284.6 219.7 184.5 149.2 46.0 278.8 263.1 1 1 218.6 183.2 148.8 Pinal angle Dagreaa .2 .5 .4 .6 .6 .7 .8 .9 41.0 46.1 .t .5 .4 .6 .6 .7 .8 .9 47.0 47.1 .2 .5 .4 .5 .6 .7 .8 .9 48.0 48.1 .2 .5 .4 .6 .6 .7 .8 .9 49.0 49.1 .2 .8 .4 .5 .6 .7 .8 .9 50.0 Page 10 60° INITIAL MTOLZ 60*' PLDS FRICTIOH Position of Weight 1 2 8 4 5 wl» 1346[wl- 1222 [wl- 10S6|wl. 886| wl- 716_ I n eh-pounda 277.2 261.6 217.? 182.2 147.6 276.4 260.0 215.6 181.0 146.6 273.8 248.6 214.6 180.0 146.7 272.2 H7.1 218.3 178.9 144.8 270.4 246.6 211.9 177.8 143.9 268.8 244.0 210.7 176.7 145.0 267.1 242.4 20«.3 176.6 142.1 266. F 241.0 208.0 174.6 141.2 263. r 259.4 206.7 173.5 140.5 262.1 237.9 205.4 172.5 159.4 260.3 236.5 204.0 171.1 138.6 268.6 254.7 202.7 170.0 137.6 287.0 233.3 201.4 168.9 136.7 266.2 231.7 200.0 167.8 136.8 263.6 230.2 198.7 166.7 154.9 251.9 288.6 197.4 166.6 154.0 260.1 227.0 196.0 164.4 135.1 248.4 226.4 194.6 163.2 158.1 246.8 224.0 195.4 168.2 131.5 245.0 222.4 192.0 161.0 130.4 243.3 880.8 190.6 169.9 189.4 241.6 219.2 189.5 158.7 128.6 239.9 217.7 188.0 157.7 127.6 258.1 216.2 186.6 166.6 126.7 256.4 214.6 166.2 156.4 126.8 254.6 218.0 185.9 154.2 124.8 232.9 211.4 182.6 165.1 123.9 231.1 209.8 181.1 161.9 123.0 229.4 208.2 179.8 160.8 122.0 227.6 206.6 178.4 149.6 121.1 225.9 206.0 177,0 148.6 120.2 224.1 203.4 176,6 147.8 U».8 222.4 201.9 174.5 146.2 118.3 220.6 200.5 172.9 146.0 117.4 218.9 198.7 171.8 143.9 116.6 217.1 197.1 170.2 142.7 116.5 216.4 196.6 168.8 141.6 114.6 215.6 193.9 167.4 140.4 113.7 til. 9 192.3 166.0 139.3 112.7 210.1 190.7 164.7 138.1 111.6 206.5 189.0 165.8 136.9 110.6 206.6 187.4 161.8 135.7 109.9 204.8 186.9 160.6 154.6 108.9 203.0 184.3 169.1 135.4 108.0 201.1 182.6 167.6 132.2 107.0 199.4 181.0 156.2 151.0 106.1 197.-€ 179.4 164.9 189.9 106.1 196.9 177.8 165;6 128.7 104.2 194.0 176.1 162.0 127.6 103.2 192.2 174.6 160.6 126.5 102.3 2 a 39715 F P»g« u 60*' INITIAL ANOLE 60° PLCS FRICTIOH Pegs le 60° INITIAL JWOLE 60° PLOS FRICTION Final Poeltion of Weight angle 1 2 S 4 5 wl- 1346 1 wl- 1222 Iwl- 1055! wl- 885 wl. 716 Degrees Inch - pounds 125.1 SO.l ■ 190.5 172.8 149.2 101.5 .2 188.6 171.2 147.8 124.0 100.5 .5 1 186.8 169.6 146.4 122.8 99.4 .4 ' 185.0 167.9 144.9 121.6 98.4 .5 1 ] 183.2 166.5 145.6 120.4 ; 97.5 i .6 181.5 164.6 142.1 119.2 96.5 .7 179.6 165.0 140.7 118.0 95.5 .8 1 177.7 161.5 1S9.8 U6.8 94.5 .9 i 175.9 159.7 157.9 115.6 95.6 51.0 : 174.1 158.0 156.4 114.4 92.6 51.1 172.5 156.4 155.0 115.5 91.7 .2 170.4 154.7 155.6 112.0 90.7 .5 168.5 155.0 152.1 110.8 89.7 .4 166.8 151.4 150.7 109.6 88.7 .5 164.9 149.7 129.2 108.4 87.7 .6 165.0 148.0 127. B 107.1 86.7 .7 161.3 146.4 126.4 106.0 85.8 .8 159.4 144.7 124.9 104.8 84.8 .9 157.5 145.0 125.4 105.5 8S.8 52.0 155.8 141.4 122.1 102.4 82.9 52.1 155.9 159.7 120.6 101.1 81.9 .2 152.0 158.0 U9.1 99.9 80.9 .5 150.1 156.2 117.6 98.7 79.9 .4 148.2 154.5 116.1 97.4 78.9 .5 146.5 132.9 U4.8 96.5 77.9 .6 144.6 131.2 115.5 95.0 76.9 ,7 142.7 129.5 111.8 95.8 75.9 .8 140.8 127.8 110.3 92.5 74.9 .9 138,9 126.1 108.9 91.5 75.9 55.0 137.0 124.4 107.4 90.1 72.9 55.1 155.2 122.7 105.9 88.8 77.9 .2 155.5 121.0 104.4 87.6 70.9 .5 151.4 119.3 105.0 86.4 69.9 .4 129.5 117.5 101. S 85.1 66.9 .5 127.6 115.8 100.0 85.9 67.9 .6 125.7 114.1 98.5 82.6 66.9 ,7 125.8 112.4 97.1 81.4 65.9 .8 122.0 110.7 95.6 80.2 64.9 .9 120.1 109.0 94.1 78.9 65.9 54.0 118.2 107.5 92.6 77.7 62.9 54.1 116.5 105.6 91.1 76.4 61.9 .2 114.4 105.9 89.7 75.2 60.9 .5 112.4 102.0 88.1 75.9 59.8 .4 110.5 100.8 86.6 72.6 58.8 .5 108.6 98.6 86.1 71.4 57.8 .6 106.8 96.9 85.7 70.2 56.8 .7 104.9 95.2 ez.e 68.9 55.8 .8 102.8 95.4 80.6 67.6 1 64.7 .9 101.0 91.6 79.1 66.4 55.7 55.0 99.1 89.9 77.6 65.1 52.7 nnal Position of Weight angle 1 2 8 4 6 wl- 1546 wl- 1222 wl- 1055 wl- 885 wl- 7^6 Degrees I n h - pounds 55.1 97.1 88.1 76.1 63.8 51.6 .2 95.2 86.4 74.6 62.6 50.6 .5 95.5 84.7 75.1 61.8 49.6 .4 91.5 82.8 71.5 60.0 48.6 •5 i 89.4 81.1 70.0 58.7 47.6 .6 1 87.5 79.4 68.6 57.5 ' 46.6 .7 I 85.5 77.6 67.0 56.2 45. S .8 ! 85.6 75.9 65,5 54.9 44.5 .9 1 81.6 74.0 65,9 55.6 I 45.4 56.0 j [ 79.7 72.5 62.5 52.4 1 42.4 66.1 77.7 70.5 60.9 51.1 41.8 .2 75.8 68.8 S9.4 49.8 40.8 .5 i 75.8 67.0 57.8 48.5 89.2 .4 ' 71.9 66.8 56.8 47.2 86.2 .5 69.9 65.4 54.8 45.9 57.2 .6 68.0 61.7 55.5 44.7 56.2 .7 66.0 59.9 51.7 45.4 1 55.1 .8 64.1 58.2 50.2 42.1 54.1 .9 1 62.1 56.5 48.6 40.8 58.0 57.0 60.0 S4.S 47.1 89.5 51.9 57.1 i 58.2 52.8 45.6 58.2 50.9 .2 i 56.1 51.0 44.0 56.9 29.9 .5 i 54.1 49.1 42.4 55.6 28.8 .4 1 52.2 47.4 40.9 84.8 27.8 .5 1 50.2 45.6 59.8 88.0 26.7 .6 1 48.2 45.7 87.8 81.7 25.6 .7 46.5 42.0 56.5 50.4 24.6 .8 44.5 40.2 54.7 29.1 28.6 .9 1 42.5 58.4 55.1 27.8 22.5 58.0 1 40.5 56.5 51.5 26.5 a.4 58.1 58.2 54.7 60.0 25.1 20.5 .2 56.8 55.0 28.5 28.9 19.8 .S 54.8 51.2 26.9 22.6 18.5 .4 82.8 29.5 25.5 21.2 17.2 .5 50.5 27.5 25.7 19.9 16.1 .6 28.8 25.7 22.2 18.6 16.0 .7 26.8 25.6 20.6 17.8 14.0 .8 24.2 22.0 19.0 15.9 12.9 .9 22.2 20.2 17.4 14.6 11.8 59.0 20.2 18.5 15.8 15.8 10.7 59.1 18.2 16.5 14.2 U.9 9.7 .2 16.2 14.7 12,7 10.6 8.6 .5 14.1 12.8 11.1 9.8 7.5 .4 12.1 11.0 9.5 8.0 6.4 .5 10.1 9.2 7.9 6.6 5.4 .6 8.1 7.8 6.5 5.8 4.8 .7 6.1 1 6.6 4.7 4.0 8.2 .8 4.0 8.7 8.2 2.7 2.1 .9 2.0 1.8 1.6 1.8 1.1 60.0 0.0 0.0 0.0 0.0 0.0 Z a 39716 F Page 13 45° Page 14 45° INITIAL ADDLE 46o PLOS PSICTION Pinal Position of Waiglit angle 1 2 3 4 6 iwl- lJ4d wi- ua "ST- I6t6\ wl. 865 { wl- 714 Degraea I n h - I 367.9 ) o u n d 509.0 a 259.2 .1 3S4.3 209.8 .2 394.5 357.9 509.0 269.2 209.8 .S 394.5 367.9 309.0 259.2 209.8 .4 394.3 567.9 509.0 269.2 209.8 .6 394.5 587.9 509.0 259.2 209.8 .6 394.3 567.8 308.9 269.1 209.T .7 594.2 567.8 508.9 269.1 209.7 .8 594.2 367.8 508.9 269.1 209.T .9 394.2 367.8 506.9 269.1 209.7 1.0 394.0 357.7 308.8 1 289.0 209.6 1.1 394.0 387.7 508.8 289.0 209.6 .Z 394.0 367.7 808.8 269.0 209.6 .3 .4 595.9 367.6 508.7 268.9 209.6 393.9 367.5 508.7 268.9 209.6 .6 393.9 567,6 306.7 268.9 209.6 .6 393.8 367.4 506.6 268.8 209.6 .T 393.8 367.4 306.6 268.8 209.6 .8 393.6 367.3 308.6 258.7 209.4 .9 393.6 367.3 508.5 268.7 209.4 2.0 393.6 387.2 508.4 268.6 209.4 2.1 393.4 366.9 508.5 268.5 20S.S .2 393.4 366.9 308.5 268.6 ao9.s .S 393.2 366.9 508.1 268.4 209.2 .4 393.1 366.9 508.0 258.4 209.1 .5 392.9 366.7 307.9 268.5 209.1 .6 392.9 366.7 507.9 258.5 209.1 .T 392.8 356.6 507.8 268.2 209.0 *8 392.7 366.4 507.7 268.1 208.9 .9 392.5 366.3 307.6 268.0 208.8 3.0 392.4 366.2 307,8 267.9 208.8 3.1 392.3 366.1 507.4 267.8 206.7 .2 892.1 555.9 507.5 287.7 208.6 .3 392.0 366.8 807.2 257.6 208.6 .4 391.9 366.7 507.1 267.6 208.6 .8 591.7 388.6 507.0 267.6 208.4 .6 591.6 366.6 506.9 267,4 208.3 .T 391.6 366.5 306.8 267,3 206.3 .8 391.3 366.2 306.7 267.2 208.2 .9 391.2 366.1 306.6 267,1 206.1 4.0 391.1 366.0 506.6 267.0 208.1 4.1 390.8 354.T 506.2 266.9 207.9 .2 590.7 564.6 506.1 266.8 207.8 .3 590.6 364.6 806.0 266.7 207.8 .4 > 590.4 364.4 506.9 266.6 207.7 .6 590.1 364.1 306.7 266.4 207.6 .6 390.0 364.0 306.6 266.5 207.6 • T 389.7 363.7 506.4 j 266.1 207.5 .8 589.6 363.6 306.5 { 266.1 207.5 .9 389.3 363.4 306.1 1 266.9 1 207.1 6.0 1 589.2 565 .5 50S.0 i 266.8 207.1 Z U 3^*717 F nnal angle Degrees INITIAL AJIGLB 46° PLUS ?RICTIOH PoaltloD of Weight 1 2 5 4 6 wl- 1346|wl- \iZi\w \. logejwl. 66fe [wl- m 6.1 .2 .5 .4 .6 .6 .7 .8 .9 6.0 6.1 .2 .5 .4 .6 .6 .7 .8 .9 7.0 7.1 .2 .5 .4 .6 .6 .7 .8 .9 8.0 8.1 .2 .3 .4 .6 .6 .7 .8 .9 9.0 9.1 .1 .3 .4 .6 .6 .7 .8 .9 10.0 I n o h pounds 388.9 588.8 388.8 588.4 388.1 387.8 387,7 387.4 387,2 386.9 386.6 586.6 586.2 386.9 386.7 566.4 585,1 584.9 584.6 384.2 585.9 S8S.7 585.4 383.1 582.7 582.4 SB2.2 381.8 381.6 361.2 380.8 580,6 580.2 379.9 579.6 579,2 578.8 578.4 378.1 377.7 377.5 376.9 376.7 576.5 376.9 376.4 375.0 374,6 574.2 575.8 563.0 362.9 562.6 362.6 362.3 552.0 561.9 561.7 361,4 361,2 360.9 360.8 360.6 560.3 360.1 349.8 349.6 549,3 349.1 348.7 348.6 348.; 546,0 347.8 547.4 347.1 546.9 546,6 546,5 546.0 346.7 546.4 846.1 344.8 544.6 344.2 543.8 543,6 343.2 342.9 342.6 542.1 341,9 541,6 341,2 340,8 S4«,4 540.1 539,7 559.3 304.8 304.7 504.5 504.5 504.1 505.9 303.3 503.6 303.4 503.2 SOS.O 302.9 302.7 302.6 302.2 302.0 301.3 301,6 301,4 301,1 300.9 300.7 300.4 300.2 299.9 299.7 299.5 299.2 299.0 298.8 298.4 298.2 297,9 297.7 297,4 297,2 296.9 296,6 296.5 296.0 296.7 298.4 295.2 294.9 294.6 294.2 293.9 293.6 293.5 293.0 255.6 266.5 256.3 265.3 266.1 254.9 254.3 254.6 264.5 254.3 264.1 264.0 263.8 263.7 263.6 263.3 265.1 255.0 262.8 252.6 262.5 252.2 262.0 261.8 251.6 251,4 251.2 260,9 260.7 250.6 260.3 260,1 249.9 249,7 249,4 249.2 249.0 248.7 248,5 248.5 248,0 247.7 247.6 247.5 247.0 246.8 246.6 246.2 246.0 246.7 Page 15 45° INITIAL J>JtGLE 46° PUIS FRICTION Final 1 Poaltlon of Weight angle 1 2 3 4 5 wl- 1346 wl- 1222 wl- 1055: wl- 886 wl- 716 Jegreee 1 '" h - p U B d ■ 10.1 373.4 339.0 292.6 - 245.4 198.7 .2 373.0 338.6 292.3 245.2 198.6 .S 372.6 338.2 292.0 244.9 198.2 .4 372.? 337.9 291.7 244.6 ; 198.0 .5 371.8 337.6 291.4 244.4 , 197.8 .6 371.3 337.0 291.0 544.0 197.6 .7 370.9 336.6 290.6 243.8 ' 197.3 .8 370.6 336.3 290.3 243.5 . 197.1 .9 370.1 335.9 290.0 243.2 1 196.9 11.0 369.6 336.4 289.6 242.9 ! 196.6 11.1 ! 369.1 336.1 289.3 242,6 ; 136.4 .2 1 368.7 334.7 288.9 242.5 ; 19S.2 .3 ' 368.2 334.2 288,5 242.0 196.9 .4 ' 567.8 333.8 288.? 241.7 196.7 •' i 367.2 333.3 287.6 241.4 195.4 .6 } 366.8 333.0 287.5 241.1 195.2 .7 ! 366.3 332.5 287.0 ;:i0.6 194.9 .8 366.9 332.1 286.7 240.5 194.7 .9 366.4 331.6 286.5 240.1 194.4 12.0 364.B 331.1 285.9 259.8 194.1 12.1 364.4 330.8 285.6 239.6 193.9 .2 1 363.9 330.3 286.1 239.2 193.6 .5 1 363.3 329.8 284.7 238.8 193.3 .4 i 362.9 329.4 284.4 236.6 193.1 •6 : 362.4 328.9 284.0 238.2 192.8 .6 361.9 328.6 283.6 237.8 192.6 .7 361.3 328.0 285.1 237.6 192.2 .8 360.8 327,5 282.7 257.1 191.9 .9 360.4 327.1 282.4 236.9 191.7 13.0 369.8 326.6 282,0 236.5 191.4 13.1 i 369.3 326.1 281.4 236.1 191.2 .2 ; 368.8 326.0 281.1 236.8 190.9 .3 1 3S8.2 325.2 280.7 236.4 190.8 .4 ; 367.7 324.7 280.3 235.1 190.3 ,6 i 367.1 324.2 279.9 234.7 190.0 1 .6 ' 366.6 323.7 279.8 234.4 189.7 .7 366.9 323.1 278.9 233.9 189.4 .S 366.4 322.8 278.6 233.6 189.1 .9 364.9 322.1 278.1 •233.2 188.8 14.0 S64.S 321.6 277.7 232.9 188.5 14.1 363.8 321.1 277.2 252.6 188.2 •'^ ! 353.1 320.6 276.7 252.1 187.9 .3 ; 362.6 820.0 276.8 251.7 187.6 •* i 362.0 319.6 275.9 231.4 187.3 .6 ! 361.4 816.9 276.8 230.9 186.9 .6 i .7 360.8 318.4 274.9 230.6 186.6 350.3 ; 817.9 274.5 230.2 186.4 .8 349.6 317.5 274.0 2S9.6 186.0 .9 849.1 316.8 273.6 229.4 186.T 18.0 948.4 316.2 273.0 229.0 186.4 Z is 39 716 F Final angle Degree* 16.1 .1 .8 .4 .6 .6 .7 .8 .9 16.0 16.1 .2 .S .4 .5 .6 .T .8 .9 17.0 17.1 .2 .5 .4 .6 .6 .7 .8 .S 18.0 18.1 .2 .8 .4 .6 .6 .T .8 .» 19.0 19.1 .2 .8 .4 .6 .6 .7 .8 .9 20.0 Page 16 45° IHITIAL ABOLE 460 PL08 reiCTKM Poaltlon of Halgirt 1 2 8 4 S 1066 wl- 886 wl- Tie Ineh-ponnde 347.9 347.2 846.0 846.3 844.8 844.1 848.4 342.7 842.2 341.6 340.9 340.2 339.6 338.8 838.2 357.6 356.8 336.1 336.5 334.8 384.1 333.4 882.6 832.0 331,3 380.6 329.8 829.1 828.5 S27.T 827.0 826.3 828.9 324. T 924,0 928.2 822.4 921. T 820.9 920.1 919.4 918.6 917.8 917.0 916.4 918,6 814,T 818,9 813.1 316,7 316.1 314,6 814.0 818,4 312,9 812.8 811.T 811.1 810.6 910.0 909.4 908.8 308.2 907.6 906.9 306;8 90S.T 906.1 304.6 803.9 803.8 902.7 301.9 801.3 900.7 900,1 299.4 298.8 298.1 297.4 296.8 296,1 286.5 294.7 294.1 293.4 292,7 292,0 291.8 290.6 290,0 289,2 288,5 287,8 287.2 286.4 286.7 288.0 284.2 272^6 272.1 271.6 271,1 270.6 270.2 289.6 289.1 288.6 268,2 267.6 267.1 286.6 266.1 266.6 266.0 264.6 268.9 288.4 262.9 262.4 261.8 261.3 260.7 280.1 289.8 2S9.1 2M.8 (8T.9 267.4 268.8 286.2 268.8 268,1 264.6 268.9 263.3 262.7 262.1 261,8 260.9 260.3 249.T H9.1 248.4 247.9 247,3 248.8 248.0 248.4 228.8 228.2 227,8 227.4 226.9 226.6 226.2 226.7 226.3 224.9 224.6 224.0 223.6 225.1 222.7 222.3 221,6 221.4 220.9 220.6 220.0 219.6 219.2 218,6 218.2 217.7 217.8 216.8 216.8 218.9 fU.4 214,9 214,4 213,9 219.4 219.0 212.4 211.9 211.6 210.9 210.4 210.0 209.4 208.9 208.4 207.9 207.4 208.9 208.3 206.8 186.1 184,7 184.4 184.1 188.7 183.4 189.1 182.7 182.8 182.1 181. T 181.9 181.0 180.8 180.8 179.9 179.6 179.2 176.8 178.8 178.1 177.8 177,4 177.0 1T8.6 176.9 176.9 176.8 176.1 174.8 174.9 174.0 178.6 178.8 172.8 172.4 178.0 171,6 ITl.t 170.T 170.8 170,0 169.6 169.1 168.7 168.3 187.9 167.8 187,0 168.8 page 17 45° Page 18 45° INITIAL AJIGLE 45° PLUS FRICTION Final Position of Weight angle 1 2 3 4 5 m- 1546 T»l- 1222rwl- 1055 wl- 8851 wl- 716 Degrees I n c h - p u n i a 20.1 512.3 285.5 244.7 205,5 166,2 .2 311.5 282.8 244.1 204.7 165.7 .3 510.7 282.0 243.5 204.2 165.3 .4 809.9 281.5 242.8 203.7 164.9 .5 309.1 280.6 242.2 205.1 164.4 .6 308.5 279.8 241.6 20R.6 164.0 .7 307.3 279.0 240.8 202.0 165.5 .8 306.5 278.2 240.2 201.5 163.1 .9 506.7 277.5 239.6 200.9 162.7 21.0 504.9 276.8 238.9 200.4 162.2 21.1 504.1 276.0 238.5 199.9 161.8 .2 503.2 275.2 257.6 199.3 ia.3 .5 502.4 274.4 256.9 198.7 160.9 .4 501.5 275.7 236.5 198.2 160.4 .5 300.6 272.9 255.6 197.6 159.9 .6 299.8 272.1 234,9 197.0 159.5 .7 298.8 271.5 254.2 196.4 159.0 .8 298.0 270.5 233.6 195.9 158.6 .9 297.1 269.7 252.8 195.3 158.1 22.0 296.3 268.9 232.2 194.7 157.6 22.1 295.4 268.1 231.5 194.1 157.1 .2 294.5 267.4 230.8 193.6 156.7 .5 293.6 266.5 230.1 195.0 156.2 .4 292.7 265.6 229.5 192.5 155.7 .5 291.8 264.9 228.7 191.8 155.5 .6 290.9 264.1 228.0 191.2 154.8 .7 290.0 263.2 227.2 190.6 154.S .8 289.2 262.5 22 6.6 190.1 153.8 .9 288.2 261.6 225.9 189.4 153.5 23.0 287.5 2'«.8 225.1 189.0 152.8 23.1 286.5 K >.9 224.4 188.2 152.5 .2 285.4 2bv.0 223.6 187.6 151.8 .5 284.4 258.2 222.9 187.0 151.5 .4 283.6 257.5 222.5 186.4 150.9 .5 282.7 256.6 221.5 185.8 150.4 .6 281.8 255.7 220.8 185.2 149.9 .7 280.8 254.9 220.1 184.6 149.4 .8 279.9 254.0 219.5 183.9 148.9 .9 278.9 253.2 218.6 185.5 148.4 24.0 277.8 252.2 217.7 182.6 147.8 24.1 276.9 251.5 217.0 182.0 147.5 . .2 276.0 250.5 216.5 181.4 146.8 .5 275.0 249.6 215.5 180.8 146.5 .4 274.1 246.8 214.8 180.1 145.8 .5 275.1 247.9 214.0 179.5 145.3 .6 272.1 247.0 215.2 178.6 144.7 .7 271.1 246.1 212.5 178.2 144.2 .8 270.2 245.2 211.7 177.6 145.7 .9 269.1 244.5 210.9 176.9 143.2 25.0 1 268.2 245.4 210.1 / / 176.2 142.7 Final angle Degrees INITIAL ANGLE 45° PLUS FRICTION Position of Weight 25.1 .2 .5 .4 .5 .6 ,7 .8 .9 26.0 26.1 .2 .5 .4 .5 .6 .7 .8 .9 27.0 27.1 .2 .5 .4 .5 .6 .7 ,8 .9 28.0 28.1 .2 .3 .4 .5 .6 .7 .8 ,9 29.0 29.1 .2 .5 .4 .5 .6 .7 ,8 .9 50.0 2 41 39719 F Hi- 1546|wl- 12221 Hi- 1055|wl- 885|ti1. 716 Inch -pounds 267,2 266.1 265.2 264.1 263.2 262.1 261.2 260,1 259.1 258.1 257.0 256.0 255.0 255,9 252.8 251.9 250.8 249.7 248.6 247.6 246.5 245.4 244.3 243.5 242.2 241.1 240.0 258.9 237.9 236.7 235.6 234.5 233.4 232.2 231.1 230.1 228.8 227.8 226.7 225.5 224.4 225.2 222.1 220.9 219.8 218.5 217.4 216.3 215.1 215.9 242.6 241.6 240.7 259.7 256.9 257.9 257.1 236.1 255.2 234.2 233.3 232.4 231.4 230.5 229.5 228.6 227.6 226.7 225.7 224.7 225.7 222.8 221.8 220.8 219.8 218.8 217.9 216.9 215.9 214.8 213,8 212.9 2U.9 210.8 209.8 208.8 207.7 206.7 205.8 204.7 205.7 202.6 2CQ..6 200.5 199.5 108.4 197.5 196.4 195.5 194.2 209.4 208.6 207.8 207.0 206.2 205.4 204.7 203.8 203.1 202.2 201.4 200.6 199.8 199.0 198.1 197.4 196.5 195.7 194.8 194.0> 195.2 192.3 191.5 190.6 189.8 188.9 188.1 187.5 186.4 185.5 184.6 183.8 182.9 182.0 lai.i 180.5 179.5 178.5 177.7 176.7 175.9 174.9 174.1 175.1 172.5 181.3 170.4 169.5 168.6 167.6 175.6 174.9 174.5 173.6 173.0 172.5 171.6 170.9 170.3 169.6 168.9 168.5 167.6 166.9 166.2 165.5 164.8 164.1 165.4 162.7 162.0 161.3 160.6 159.9 159.2 158.5 157.8 157.0 156.5 155.5 154.8 154.1 153. 4 152.6 151.9 151.2 150.4 149.7 149.0 148.2 147.5 146.7 146.0 145.2 144.5 145.6 142.9 142.2 141.4 140.6 Page 19 45° Page 20 45° INITIAL ANGLE 45° PLUS FRICTION Final Position of Weight angle 1 2 3 4 5 wl- 1346 wl- 1222 wl- 1055 wl- 685 wl- 716 Degrees Inch - pour d 8 159.9 50.1 212.8 195.2 166.8 113.2 .2 211.6 192.1 165.8 139.1 112.6 .5 210.4 191.0 164.9 138.3 111.9 .4 209.2 189.9 163.9 137.5 111.5 .5 : 208.0 188.8 163.0 136.7 110.7 .6 206.8 167.7 162.0 135.9 110.0 .7 205.7 166.7 161.2 135.2 109.4 .8 204.5 185.6 160.2 134,4 108.8 .9 203.3 184.5 159.3 135,6 108.1 31.0 202.1 183.4 158.3 132.8 107.5 31.1 200.8 182.3 157.4 132.0 106.9 .2 199.6 181.2 156.4 131-2 106.2 .3 198.4 180,1 155,5 130.4 105.6 .4 197.2 ' 179.0 154.5 129.6 104.9 .5 195.9 177.8 153.5 128.7 104.2 .6 ld4.7 178.7 152,5 127.9 103.6 .7 193.4 175.6 151.6 127.1 102.9 .8 192.2 174.5 150.6 126,3 102.5 .9 191.0 173.4 149.7 125.6 101.6 32.0 189.7 172.2 148,6 124.7 100.9 52.1 168.5 171.1 147.7 123.9 100.5 .2 187.3 170.0 14C.7 123.1 99.6 .3 186.0 168.9 145.8 122.3 99.0 .4 184.7 167.6 144.7 121.4 98.3 .5 185.5 166.5 143,8 120.6 97.6 .6 182.3 165.4 142.8 119.6 97.0 .7 180.9 164.2 141.8 118.9 96.3 .8 179.7 163.1 140.8 118.1 95.6 .9 178.4 161.9 139.8 117.2 94.9 53.0 177.2 160.8 158.8 116.4 94.5 33.1 175.8 159.6 137.6 116.6 95.5 .2 174.6 168.5 136.8 U4.8 92.9 .5 175.3 157.3 135.8 113.9 92.2 .4 171.9 156.0 154.7 113.0 91.5 .5 170.7 154.9 155.8 112.2 90.8 .6 169.3 153.7 132.7 111.5 90.1 .7 168.1 152.6 131.8 no. 5 89.5 .8 166,8 151.4 130.7 109.6 88.7 .9 165.4 150.2 129.7 108.7 88.0 34.0 164.1 149.0 128.6 107.9 87.5 34.1 162.9 147.9 127.6 107.1 86.7 .2 161.5 146.6 126.6 106.2 85.9 .3 160.2 145.4 125.5 105.5 85.2 .4 158.8 144.2 124.5 104.4 84.5 .5 157.5 145.0 123.4 103.5 85.8 .6 156.2 141.7 122.4 102.6 85.1 .7 154.8 140.5 121.5 101.8 82.4 .8 155.5 139.5 120.3 100.9 81.6 .9 152.3 138.2 119.3 100.1 81.0 3S.0 150.9 137.0 118.3 99.2 80.5 Final angle INITIAL ANGLE 45° PLUS FRICTION Position of Weight 2 5 4 wl- 1546 |wl- 12221 wl- 1055 wl- 885 jwl- 716 Degrees 1 I 1 n c h - p u n d 8 55.1 149.4 155.6 117.1 98.2 79.5 .2 146.1 154.4 116.0 97.5 78.6 .3 146.7 155.2 115.0 96.4 78.1 .4 145.4 132.0 113.9 96.6 77.4 , ,5 144.0 130.7 112.9 94.7 76.6 .6 142.7 129.5 m.8 93.8 75.9 .7 141.5 128.3 110.6 92.9 75.2 .8 140.0 127,1 109.7 92.0 74.5 .9 138.5 125.7 108.6 91.0 75."' 56.0 157.2 124. s 107.5 90.2 75.0 56.1 185.6 125.5 106.4 89.5 72.5 .2 134.5 122.1 105.4 88.4 71.6 .5 133.0 120.7 104.2 87.4 70.6 .4 151.7 119.5 103.2 86.5 70.0 .5 ISO. 8 118.5 102.1 65.6 69.5 .6 128.8 116.9 101,0 84.7 68,5 ,7 127.5 115.7 99.9 83.8 67. S .8 126.0 114 4 98.7 82.8 67.0 .9 124.7 115.1 97.7 81.9 66.3 57.0 125.2 111.8 96.6 81.0 66.6 57.1 121.8 110.6 95.5 80.1 64.8 .2 120.5 1C9.2 94.5 79.1 64.0 .3 119.0 108.0 95.5 78.2 63. b .4 117.5 106.7 92.1 77.2 62.5 .5 116.2 105.5 91.0 76.4 61.8 .6 U4.7 104.1 89.9 75.4 61.C .7 113.2 102.8 88.7 74.4 60.2 .8 1U.9 101.5 87.7 75.5 59.5 .9 110.4 100.2 86.5 72.6 58.7 58.0 108.9 98.9 85.5 71.6 57.9 38.1 107.4 97.5 84.2 70.6 57.2 .2 106.1 96.5 85.1 69.7 56.4 .5 104.6 94.9 62.0 68.7 55.7 .4 105.1 95.6 60.8 €7.6 54.9 .5 101.6 92.5 79.6 66.6 54.1 .6 100.2 90.9 78.5 65.8 65.5 .7 98.7 69.6 77.5 64.9 62.5 .8 97.2 88.2 76.2 65.9 51.7 .9 95.7 86.9 75.0 62.9 50.9 89.0 94.2 85. 5 78.8 61.9 50.1 59.1 92.8 84.2 72.7 61.0 49.5 .2 91.8 62.8 71.5 60.0 48.6 .5 89.8 81.5 70.4 69.0 47.6 .4 86. 5 60.2 69.2 66.0 47.0 .5 66.8 76.8 66.0 57.1 46.2 .6 85.5 77.5 66.9 56.1 45.4 .7 85.9 76.1 66.7 55.1 44.6 .8 82.4 74.8 64.6 54.1 45.6 .9 80.9 75.4 65.4 65.2 45.0 40.0 79.8 72.0 62.1 52.1 42.2 Z it 39720 F Page 21 Final angle Dogreae I 2 3 4 6 I 6 7 8 9 INITIAL ANGLE 45° PLUS FRICTION Position of Weight 1 2 9 4 wl- 1546 wl- 1222!wl- 1066 1 wl- 886 wl- 716 Inch pound* 7T.8 76.3 74.3 73.2 71.8 70.3 68.7 67. S 65.7 64.1 6t.6 61.0 69.6 67.9 66.4 64.8 63.2 61.7 60.1 48.6 47.0 46.4 43.3 42.3 40.7 39.0 37.4 36.8 34.2 32.7 31.1 29.6 27.9 26.3 24.6 23.0 21.4 19.8 16.2 16.4 14.8 18.2 11.6 10.0 8.3 6.6 6.0 3.4 1.6 0.0 70.6 69.3 67,9 66.6 66.1 63.3 62.3 61.0 69.6 68.2 66.8 66.4 54.0 62.6 61.2 49.7 48.3 46.9 46.6 44.0 42.6 41.2 39.7 38.4 36.9 36.4 34.0 32.6 31. C 29.7 28.2 26.8 26.3 23.8 22.4 20.9 19.4 16.0 16.6 14.9 13.4 12.0 10.5 9.0 T.e 6.0 4.6 3.1 1.6 0.0 61.0 69.8 58.7 67.4 66.2 55.1 5S.8 52.6 61.5 50.2 49.1 47.6 46.6 46.4 44.2 42.9 41.7 40.6 39.2 38.0 36.8 36.6 34.3 33.1 31.9 30.6 29.3 28.1 26.6 26.6 24.4 23.1 21.8 20.6 19.5 18.0 16,8 16.5 14. t 12.0 11.6 10.3 9.1 7.8 6,6 6.2 3.9 2.6 l.S 0.0 51.1 60.2 49,2 46.1 47.2 46.2 45.1 44.2 43.2 42.1 41.1 40.1 39.1 38.0 37.1 36.0 54.9 34.0 32.9 31.9 S0.» 29.8 28.8 27.8 26,7 25.7 24.6 23.6 22.5 21.6 20.4 19.4 18.3 ! 17.3 I 16.2 15.1 ' 14.1 13.0 11.9 ; 10.8 9.7 8.7 7.6 6.6 I 6.6 I 4,3 8.3 2.2 1.1 0.0 41.4 40.6 S9.S 89.0 38.2 37.4 36.6 36.7 36.0 34.1 33.3 32.4 81.7 30.S 30.0 29. S 28.3 27.5 26.6 26.3 26.0 24.1 23.3 22.5 21.6 20.8 19.9 19.1 18.2 17.4 16.6 16.7 14.8 14.0 13.1 12.2 11.4 10.6 9.7 8.T 7,9 7.0 6.1 6.S 4,4 3.6 2.6 1.8 .9 0.0 z 11 39721 F Page 22 50 P«W«2» WITIAL AMaLB SO* PLUS rRICTION Final Poaltion of Weight angle 1 2 5 ^ 4 5 wl- 1546 wl- 1222 wl- 1055, wl- 865 wl- 716 Degrees I n h - p U B d • .1 180.4 165.7 141.4 ' 118.6 96.0 .2 180.4 165.7 141.4 . 116.6 96.0 .5 180.4 165.7 141.4 ' 116.6 96.0 .4 180.4 165.7 141.4 118.6 96.0 .5 180.4 165.7 141.4 1 118.6 96.0 .6 180.5 169.6 141.8 1 118.5 95.9 .7 180.5 165.6 141.8 118.5 95.9 .6 180.5 16S.6 141.5 118.5 95.9 .9 180.5 165.6 141.5 118.6 95.9 1.0 180.1 165.5 141.2 118.4 95.8 1.1 180.1 165.5 141.2 U8.4 95.8 .2 180.1 165.5 141.2 118.4 95.8 .5 180.0 165.4 141.0 118.5 95.8 .4 180.0 165.4 141.0 U8.5 95. 8 .5 180.0 165.4 141.0 U8.5 95.8 .6 179.8 165.2 140.9 118.2 95.7 .7 179.8 165.2 140.9 U8.2 95.7 .B 179.7 165.1 140.8 118.1 95.6 .9 179.7 165.1 140.6 118.1 95.6 2.0 179.6 165.0 140.7 118.0 95.5 2.1 179.4 162.9 140.6 117.9 95.5 .2 179.4 162.9 140.6 U7.9 95.5 .5 179.5 162.6 140.5 117.9 95.4 .4 179.2 162.6 140.4 117.8 95.8 .5 179.0 162.5 140.6 117.7 95.8 .6 179.0 162.5 140.5 117.7 95.8 .7 178.9 162.4 140.2 117.6 95.2 .e 178.8 162.5 140.1 117.5 95.1 .9 178.6 162.1 140.0 117.4 95.0 s.o 178.5 162.0 159.9 117.8 95.0 5.1 178.4 161.9 159.8 117.2 94.9 .2 178.2 161.8 159.7 117.1 94.8 .5 178.1 161.7 159.6 117.1 94.8 .4 178.0 161.5 159.5 117.0 94.7 .6 177.8 161.4 159.4 U6.9 94.6 .6 177.7 161.5 159.8 U6.8 94.5 .7 177.6 161.2 159.1 116.7 94.5 .8 177.4 161.0 189.0 116.6 94.4 .9 177.5 160.9 158.9 U6.5 94.8 4.0 177.2 160.8 158.8 116.4 94.8 4.1 176.9 160.6 158.6 116.8 94.1 .2 176.8 160.4 158.6 116.2 94.0 .5 176.6 160.5 158.4 116.1 94.0 .4 176.5 160.2 188.8 116.0 98.9 .5 176.2 159.9 158.1 115.8 98.8 .6 176.1 159.8 158.0 U5.7 98.7 .7 175.8 159.6 157.8 115.6 98.5 .8 175.7 159.5 157.7 U5.5 98.5 .9 175.4 159.2 157.6 118.8 98.8 5.0 175.5 1S9.1 157.4 115.2 98.3 Final, angle Degrees INITIAL ANOLE SO* PLUS FRICTION Position of Weight ^54 wl. 1546 T wl. 1222 wl- 1055 jwl- 885 wl. 716 I n h p u n d a 5.1 175.0 158.8 157.1 115.0 95.1 .2 174.9 158.7 157.0 114.9 95.0 .5 174.6 158.5 156.6 114.8 92.9 .4 174.5 158.4 156.7 114.7 92.8 .5 174.2 158.1 156.5 U4.5 92.7 .6 175.9 157.9 136.5 114.5 92.5 .7 175.8 157.8 156.2 114.2 92.5 .8 175.5 157.5 136.0 U4.0 92.5 .9 173.5 157.5 135.8 115.9 92.2 6.0 175.0 157.0 135.6 115.7 92.0 6.1 172.7 156.8 155.5 115.5 91.9 .2 172.6 156.7 155.2 115.4 91.8 .5 172.5 156.4 135.0 115.5 91.7 .4 172.0 156.2 154.8 115.1 91.5 .5 171.8 155.9 134.6 112.9 91.4 .6 171.5 155.7 134.4 112.7 91.2 .7 171.2 155.4 154.2 112.5 91.1 .8 171.0 155.2 154.0 112.4 91.0 .9 170.7 154.9 135.8 112.2 90.8 7.0 170.5 154.6 155.4 111.9 90.6 7.1 170.0 154.5 155.2 111.7 90.5 .2 169.8 154.1 153.0 111.6 90.5 .5 169.5 155.8 132.8 111.4 90.2 .4 169.2 153.6 152.6 111.2 90.0 .5 166.8 155.2 152.3 111.0 89.8 .6 168.5 153.0 132.1 110. B 89.7 .7 168.5 152.7 151.9 110.6 89.5 .8 167.9 152.4 151.6 110.3 89.5 .9 167.6 152.1 151.5 110,2 89,2 8.0 167.5 151.9 151.1 110.0 89.0 6.1 166.9 151.5 150.8 109.7 88.8 .2 166.7 151.5 150.6 109.5 88.7 .5 166.5 150.9 150.5 109.5 88.5 .4 166.0 150.7 150.1 109.1 88.5 .5 165.6 150.5 129.8 108.8 88.1 .6 165.5 149.9 129.5 108.7 88.0 .7 164.9 149.7 129.2 108.4 87.7 .8 164.5 149.5 128.9 108.1 87.5 .9 164.2 149.1 128.7 107.9 87.4 9.0 165.8 148.7 128,4 107.7 87.2 9.1 165.4 148.5 128.1 107.4 86.9 .2 165.0 148.0 127.8 107.1 86.7 .5 162.8 147.7 127.5 107.0 86.6 .4 162.5 147,4 127.2 106.7 86.4 .5 161.9 147.0 126.9 106.4 86.2 .6 161.5 146.6 126.6 106.2 65.9 .7 161.1 146.5 126.5 105.9 85.7 .8 160.7 145.9 126.0 105.6 85.5 .9 160.5 145.5 125,6 105.4 85.5 10.0 159.9 145.2 125.5 105.1 85.1 Z iA 39722 K Degrees Page 24 50° INITIAL ANGLE 50° PLUS FalCTION Position of Weight 12 5 4 5 wl= 1546|wl. 1222 l-wi"- 1055| Tq- B85|^» 71 6" Inch pound 8 159.5 159.1 158.7 158.3 157.9 157.4 157.0 156.6 156.2 155.6 155.2 154.8 154.3 153.9 155.3 152.9 152.4 152.0 151.4 150.9 150.5 150.0 149.4 149.0 148.6 147.9 147.4 146.9 146.5 145.9 145.4 144.8 144.3 143.8 143.2 142.7 142.0 141.5 140.9 140.4 139.9 139.2 138.7 158.1 137.4 136.9 136.4 155.7 135.2 134.5 144.8 144.4 144.1 143.7 143.3 142.8 142.5 142.1 141.7 141.3 140.9 140.5 140.0 139.7 139.2 138.8 138.3 138.0 137.5 137.0 136,6 136.1 135.6 135.3 134.8 134.3 133.8 133.5 132.9 132.5 132.0 131.5 131.0 130.5 130.0 129.5 128.9 128.4 127.9 127.4 127.0 12 6.5 125.9 125.4 124.8 124.3 123.8 123.2 122.7 122.1 125.0 124.7 124.4 124.1 123.7 123.3 123.0 122.7 122.4 122.0 121.6 121.5 120.9 120.6 120.2 119.8 119.4 119.1 118.7 118.3 U7.9 117.5 117.1 116.8 116.4 115.9 115.5 115.1 114.8 114.4 113.9 113.5 113.1 112.7 112.2 111.8 111,5 110.9 no .5 110.0 109.6 109.1 108.7 108.2 107.7 107.3 106.9 106.5 105.9 105.4 104.8 104.6 104.3 104.1 105.8 103.4 103.2 102.9 iae.6 102.3 102.0 101.8 101,4 101.1 100.8 100.5 100,2 99.9 99.5 99.2 98.9 98.6 9P.2 97.9 97.6 97.2 96.9 96.5 96.3 95.9 95.6 95.2 94.8 94.5 94.1 93.8 93.5 95.0 92.6 92.3 91.9 91.5 91.1 P0.8 90.5 90.0 89.6 89.2 88.8 88.4 84.9 84.7 84.4 84.2 84.0 83.7 83.5 03.3 83.1 82.8 82.6 82.4 82 a 81.9 81.6 81.4 81.1 80.9 80.6 80.3 80.1 79.8 79.5 79.3 79.0 78.7 78.4 78,1 77.9 77.6 77.4 77.1 76.8 76.5 76.2 75.9 75.6 75.5 75.0 74.7 74.4 74.1 75.8 75.5 73.1 72.8 72.6 72.2 71.9 71.6 Final angle Page 25 30° INITIAL ANGLE 50° PLOS PHICTION Position of Weight •m- 1346 wl- 1222 !«.- 1055 |wl- 885 *1- 71 Degrees! 1 Inch - pounds 15.1 1 153.9 121.6 105.0 88.0 71, .2 : 133.5 121.0 104.4 87.6 70. ,3 132.7 120.5 104.0 87.2 70. .4 132.1 UL9.9 105.5 86.8 70. .5 1 131.4 119.3 105.0 86.4 69. ,6 130.8 118.8 102.5 86.0 69. .7 130.2 118.2 102.0 85.6 69. .8 129.5 117.5 101.5 85.1 68. .9 128.8 116.9 101.0 84.7 68. 16.0 128.3 116,4 100.5 84.3 68. 16.1 127.6 115,8 100,0 83.9 67. .2 126.9 115.2 99.5 83.4 67. .5 126.3 114.6 99,0 85,0 67. .4 125.6 114.0 98.4 82,6 66. .5 124.9 113.4 97.9 82.1 66. .6 124.5 112.8 97.4 81.7 66. .7 125.6 112.2 96.8 81.2 65. .8 122.9 111.6 96.5 80.8 65. .9 122.2 111.0 95.8 80.3 66. 17.0 121.6 110.5 95.5 79.9 64. 17.1 120.9 109.7 94.7 79.5 64. .2 120.2 109.1 94.2 79.0 64. .5 119.5 108.5 95.7 78.6 63. .4 118.7 107.8 95.0 78.0 65. ,5 118.1 107.2 92.5 77.6 «. ,6 117.4 106.6 92.0 77.2 S2. .7 116.7 105. 9 91.5 76.7 62. .8 US. 9 105.2 90.8 76.2 a. .9 115.2 104.6 90.3 75.7 61. 18.0 114.6 104.0 89.8 75.5 61. 18.1 115.8 105.3 89.1 74.8 83. .2 U3.1 102,6 88.6 74.5 60 .< ,5 112.5 101.9 88.0 75.8 59. ,4 111.6 101.5 87.5 73.3 59. ,5 110.8 100.6 86.8 72.8 58. .6 UO.l 100,0 86.5 72.4 58. .7 109.5 99.2 85.7 71.8 58 ,i .8 108.5 98.5 85.0 71.5 57, .9 107.8 97.9 84.5 70.9 57.- 19.0 107.0 97.1 85.9 70.3 56. 19.1 106.2 96.4 83.2 69.8 56. .2 105.5 95.8 82.7 69.4 56.2 .3 104.7 95.1 82.1 68.8 55.' .4 103.9 94.5 81.4 68.5 55.; ,5 103.1 95.6 80.8 67.8 54.; .6 102.4 93.0 1 80.5 67.5 54.; .7 101.6 92.3 79.6 66.8 54.3 .8 100.8 91.5 79.0 66.5 55.f ,9 100,0 90.8 78.4 65.7 55. S 20.0 99,2 90.1 77.7 65.2 52. { z ^ 39723 F Page 26 Page 27 30° INITIAL ANGLE 50° PLUS FRICTION INITIAL ANGLE 30° PLUS FRICTION Final Position of Weight angle 1 2 3 4 5 wl- 1546 wl- 1222 wl- 1055 U- 885 wl- 716 Degrees r n c h - pounds 20.1 98.4 89.5 77.1 64.7 52.4 .2 1 97.6 88.6 76.5 64.1 51.9 .5 96.8 87.9 75.8 63.6 51.5 .4 96.0 87.1 75.2 63.1 51.1 .5 95.2 86.4 74.6 62.6 50.6 .6 94.4 85.7 74.0 62.0 50.2 .7 93.4 84.8 73.2 61.4 49.7 .e 92.6 84.1 72.6 60.9 49.5 .9 91.8 83.3 71.9 60.5 48.8 21.0 91.0 82,6 71.3 59.8 48.4 21.1 90.2 81.9 70.7 59.3 48.0 .2 89.3 81.0 69.9 58.7 47,5 .3 88.4 80.3 69.3 58.1 47.1 .4 87.6 79.5 68.7 57.6 46.6 .5 86.7 78.7 67.9 57.0 46.1 .6 85.9 78.0 67.3 56.4 45.7 .7 84.9 77.1 66.0 55.8 45.2 .8 84.1 76.4 65.9 55.3 44.8 .9 83.2 75.5 65.2 54.7 44.3 22.0 82.4 74.8 64.6 54.1 43.8 22.1 81.4 73.9 63.8 53.5 43.3 .2 80.6 73.2 63.2 53.0 42.9 .5 79.7 72.3 62.5 52.4 42.4 .i 78.8 71.5 61.7 51.8 41.9 .5 77.9 70.7 61.1 51.2 41.5 .6 77.0 69.9 60.3 50.6 41.0 .7 76.0 69.0 59.6 50.0 40.5 .8 75.5 68.3 59.0 49.5 40.0 .9 74.3 67.5 58.2 48.8 39.5 23.0 73.4 66.6 57.5 48.2 39.1 23.1 72.4 65.7 56.8 47.6 38.5 .2 71.5 64.9 56.0 47.0 38.e .3 70.5 64.0 55.5 46.4 37.5 .4 69.7 63.3 54.6 45.8 37.1 .5 68.8 62.4 55.9 45.2 36.6 .6 67.8 61.6 55.2 44.6 36.1 .7 66.9 60.7 52.4 44.0 55.6 .8 66.0 59.9 51.7 45.4 35.1 .9 65.0 59.0 51.0 42.7 34.6 24.0 63.9 58.0 50.1 42.0 34.0 24.1 63.0 57.2 49.4 41.4 53.5 .2 62.1 56.5 48.6 40.8 55.0 .3 61.1 55.5 47.9 40.2 52.5 .4 60.2 54.6 47.2 39.5 52.0 .5 59.2 53.8 46.4 58.9 31.5 .6 58.2 52.8 45.6 38.2 50,9 .7 57.2 51.9 44.6 57.6 30.4 .e 56.3 51.1 44.1 37.0 29.9 .9 55.2 50.1 45.3 36.5 29.4 25.0 54.5 49.2 42.5 55.7 28.9 Final Position of Weight angle 1 2 5 4 5 wl- 1346 wl- 1222 wl- 10551 wl- 885 wl- 716 Degrees Inch - - pour d s 25.1 S3. 3 48.4 41.8 55.0 28.4 .2 52.2 47.4 40.9 54.5 27.8 .5 51.3 46.6 40.2 55.7 27.5 .4 50.2 45.6 39.5 53.0 26.7 .5 49.5 44.7 38,6 52.4 26.2 .6 48.2 45.7 37,8 51.7 25.6 .7 47.3 42.9 57.0 51.1 25.1 .8 46.2 41.9 56.2 50.3 24.6 .9 45.2 41.1 35.4 29.7 24.1 26.0 44.2 40.1 34.6 29.0 25.5 26.1 43,1 59.1 33.8 28.5 22.9 .2 42.1 58.2 33.0 27.7 22.4 .3 41.1 57.5 32.2 27.0 a. 8 .4 40.0 36.3 31.5 26.5 21.5 .5 58.9 55.5 30.5 25.6 20;7 .6 58.0 34.5 29.7 25.0 20.2 .7 36.9 35.5 28.9 24.2 19.6 .8 35.8 52.5 28.1 25.5 19.1 .9 34.7 31.5 27.2 22.8 18.5 27.0 33.7 30.5 26.4 22.1 17,9 27.1 32.6 29.6 25.5 21.4 17.5 .2 31.5 28.6 24.7 20.7 16.8 .5 30.4 27.6 23.8 20.0 16.2 .4 29.5 26.6 23.0 19.5 IS. 6 .5 28.3 25.7 22.2 18.6 IS.O .6 27.2 24.7 21. S 17.9 14.5 .7 26,1 23.7 20.5 17.2 15,9 .8 25.0 22.7 19.6 16.5 15.5 .9 24.0 21.8 18.8 15.7 12,7 28.0 22.8 20.7 17.8 15,0 12,1 28.1 21.7 19.7 17.0 14.2 11,5 .2 20.6 18.7 16,1 15.5 11,0 .3 19.5 17.7 15.3 12.8 10.4 .4 18.5 16.6 14.3 12.0 9.7 .5 17.2 15.6 15.5 U.3 9.2 .6 16.2 14.7 12.7 10.6 8.6 .7 14.9 13.6 11.7 9.8 8.0 .8 13.9 12.6 10.9 9.1 7.4 .9 12.8 11.6 10.0 8.4 6.8 29.0 11.6 10.5 9.1 7.6 6.2 29.1 10.5 9.5 8.2 6.9 5.6 .2 9.3 8.4 7.5 ; 6.1 4.9 .5 8.2 7.5 6.4 5.4 4.4 .4 7.0 6.4 5.5 4.6 5,7 -.5 5.9 5.4 4.6 5.9 5,2 .6 4.7 4.3 5.7 3.1 2.5 .7 3.5 3,2 2.7 2.5 1.9 .8 2.4 2.2 1.9 1.6 1.8 .9 1.2 1.1 .9 .8 .6 30.0 0.0 0.0 0.0 0.0 0.0 2 « 3972t F X O CO LU (O LU X CD ID Cl Lu o X o (jj c/:) UNIVERSITY OF FLORIDA 3 1262 08866 6358