i m: ESSENTIALS IN MECHANICAL DRAWING THE MACMILLAN COMPANY NEW YORK • BOSTON • CHICAGO • DALLAS ATLANTA • SAN FRANCISCO MACMILLAN & CO., Limited LONDON • BOMBAY • CALCUTTA MELBOURNE THE MACMILLAN CO. OF CANADA, Ltd. TORONTO ESSENTIALS IN MECHANICAL DRAWING BY L. J. SMITH, B.S. PROFESSOR OF AGRICULTURAL ENGINEERING, MANITOBA AGRICULTURAL COLLEGE ; FORMERLY INSTRUCTOR IN CHARGE OF THE DIVISION OF FARM MECHANICS, MICHIGAN AGRICULTURAL COLLEGE ; MEMBER OF THE AMERICAN SOCIETY OF AGRICULTURAL ENGINEERS THE MACMILLAN COMPANY 1917 All rights reserved Copyright, 1917, By the MACMILLAN COMPANY. Set up and electrotyped. Published May, 1917. -0 MAY 10 1917 .1. S. Gushing Co. — Berwick & Smith Co. Norwood, Mass., XT.B.A. ^CI,A4G0653 PREFACE This brief treatment of the essentials of mechanical drawing is designed to give instruction in the rudiments of plan drawing as it occurs in everyday life, so that the student will be able to read and understand ordinary drawings and be able to do ordinary mechanical sketching. The book should be of value also to one who is about to take a longer course in drawing, for it aims to correct the com- mon mistakes of the beginner. Where work is given without the regular instruments, it is well to provide the students with small drawing boards about 12 X i8 inches in size, together with a T square. This equipment makes for more rapid and accurate work. The bottom edge of the drawing board can be planed square with the left side so that the T square may be used for both horizontal and vertical lines. The lists of exercises offered are merely suggestive. Where possible it is best to have drawings made from the object itself rather than from another drawing. This is possible even in the drafting room, in institutions where shop work is given, for one can there secure enough joints or other woodwork so that at least every two students will have the object on the drafting table. VI PREFACE Some of the drawings offer good exercises in making detail sketches of each piece in the object. Good practice can be had also in getting out the bill of material of the lumber required for some of the objects shown. The workbench or the pig cot furnishes the beginner a good exercise along this line. While the book is designed primarily for use in the drafting room, the exercises shown are such as to be of value for use as a course in practical wood shop in schools of agriculture. The writer believes that the time will soon come when our schools and colleges will consider elementary mechan- ical drawing at least equal in educational value to free- hand drawing. L. J. SMITH. March, 19 17. ESSENTIALS IN MECHANICAL DRAWING ESSENTIALS IN MECHANICAL DRAWING MECHANICAL SKETCHING Introduction. — Mechanical drawing is, in these days of careful planning, the basis of all constructive work. The building of ships, the erection of the home, the large fac- tory, or the sky-scraping office building, the construction of large locomotives, or of any of the great public works, is always preceded by very careful and complete drawings previously planning all arrangements in detail. A knowledge of mechanical drawing is not only essential in the constructive trades and professions, but it is of value in almost all walks of life. The newspapers and magazines make wide use of drawings. Educational books dealing with the more practical phases of life are illustrated in this way. Indeed, the general public will never get the benefit of many of the new ideas, nor be able to give others the benefit of their own experience, with- out sotne knowledge and use of mechanical drawing. It is not necessary to take a long course of instruction in order to be able to make or understand ordinary draw- 2 ESSENTIALS IN MECHANICAL DRAWING ings. The making of six or eight pencil sketches will be sufficient to give the ordinary student a general knowledge of the subject. He will, of course, not become an expert, but he will have laid a good foundation for future development. Neither is it necessary to have an expensive set of in- struments in order to make sketches and learn to inter- pret drawings. With a good foot rule graduated into sixteenths of an inch, a compass fitted with hard lead, a fairly hard drawing pencil (3 or 4 H), and an eraser, it is possible with very little expense to make quite complicated drawings in lead, and to learn a great deal about lettering and drawing in general. What mechanical drawing is. — In ordinary free-hand drawing where the work is done in " perspective," making picture drawings of the objects, the drawings usually show three sides of the object, or enough to completely represent it, in the one view. In mechanical drawing, the thing represented is shown by means of two or more views, each view showing one side of the object. In this kind of drawing, therefore, several views of the object are necessary and must be studied in relation to each other, in order to give a proper conception of that object. As an illustration, consider the object shown in Fig. i, in one view only. In this drawing the eye sees three sides of the block at the same time and readily understands what is represented. A complicated drawing to accurate scale cannot readily be made showing three sides of the object, and so the idea of separate views has come into use. MECHANICAL SKETCHING 3 Names of views. — Figure 2 shows a mechanical drawing of the same block, which is 2" ^ long, f wide, and f high on one side, and f high on the other. T represents the top view or plan of the block, 5 the side view or side elevation, and E the end view or end elevation. It will be noticed that the views are in line with each other. Figure i. that is, the top view is directly above the side view, and the end view is directly to the right of the side view, as shown by the light dotted lines which in practice are not drawn. The lines a and h will be parts of the same vertical line, and c and d of the same horizontal line. ^ The two short dashes above at the right of a number denote inches, while one dash means feet. 4 ESSENTIALS IN MECHANICAL DRAWING The terms ^' plan " and ^' elevation " are used in con- nection with architectural drawings and many civil en- gineering drawings, while the word " view " is commonly applied to other mechanical drawings. In plans for buildings, the drawings of the various lay-outs of each floor are called floor plans — first-floor plan, second-floor -Q ^ n T ^^ 5 E c cf Figure 2. plan, basement plan, etc. Sometimes the side, top, and end views are not sufficient, in which case a drawing is made showing part of the object cut away, and this drawing is called a ^' sectional view." In reality the floor plans of a building are sectional views, showing what would be seen if the upper part of the building were cut away down to the center of the windows of the particular floor plan sho\vn. MECHANICAL SKETCHING 5 Position of the eye in relation to the views. — In mechan- ical drawing, if a top view is wanted, it is supposed to be drawn as seen by the eye placed directly above the object ; if a side view is being made, the eye must view the object from that side ; or if the end view is necessary, it is rep- resented as if the eye were looking directly at the end of the object. The eye is supposed to be far enough away so that the rays of light coming from each point on the side of the object shown enter the eye in parallel lines. This must be continually kept in mind by beginners. Isometric drawings. — The isometric drawing affords one of the most common methods of showing an object mechani- cally in one view only. In this type of drawing the object is drawn as viewed from such an angle that all edges of rectangular objects are cut down from their true length the same proportionate amount. Because of this fact the lines are commonly drawn the same length as the lines of the object represented. Figure 3 represents an isometric drawing of a half dovetail joint. The rectangular edges are usually drawn vertically, or 30 degrees from the horizontal (see Fig. 4) ; the vertical edges of the object being drawn verti- cal, and the edges running lengthwise and crosswise are drawn at an angle of 30 degrees from the horizontal. All other lines are obtained by reference to the lines represent- ing rectangular edges. The parallel lines of an object are shown parallel in isometric drawings instead of sUghtly converging as they do in perspective drawings. On account of this fact, 6 ESSENTIALS IN MECHANICAL DRAWING isometric drawings of large objects do not look natural, and the use of these drawings is limited to smaller articles ; but they are very serviceable in conveying ideas to those who are not able to understand mechanical drawings. HALF DOVE TAIL JOINT, Scafe Name. Figure 3. To get the angle of 30 degrees where no 30 degree tri- angle is to be had, use the protractor ; or in case none is at hand, draw an equilateral triangle with one side vertical to an imaginary horizontal Hne ; the other two sides will be at an angle of 30 degrees with this line. One can buy pads of 9'' X 12'' isometric section paper which is lined horizontally and vertically into squares, MECHANICAL SKETCHING and which has lines also running each way at an angle of 30 degrees with the horizontal. The angle iron in Fig. 4 is a very simple example of this 8 ESSENTIALS IN MECHANICAL DRAWING type of drawing. It also gives the method of putting in dimensions. Where the isometric drawings are made of cylindrical objects, the circle appears as an ellipse which is usually drawn by an approximate method. First draw an isomet- ric square whose sides are the same length as the diameter of the circle. The ellipse will be drawn tangent to the center of the sides of the square at c, e^ d, and /. Draw line ab and Knes cd and ef. Draw ch and gd, and these lines inter- sect ab at i and 7 respectively. With these points i srndj as centers, draw curves ce and df. Then with points g and h as centers, draw the curves ed and /c, completing the ellipse. It is not difficult to make an isometric drawing of curved surfaces or edges. Figure 5 illustrates a common method of procedure. The end view and the end of the isometric drawing are divided into the same number of spaces. The lengths of the lines i, 2, 3, etc., are measured on the end view of the mechanical drawing or the end of the object itself. Then the lengths are transferred to the ends of the isometric drawing, thus locating points on the curve. Size of drawings. — Objects are represented on paper to different scales or sizes, depending on the size of the paper and of the object to be shown. Small objects are generally represented in the drawing in full or actual size. Very small objects may be magnified and shown on paper double their actual size. If the drawing is half size, the scale will be " 6 inches equals i foot," meaning that 6 inches of the MECHANICAL SKETCHING Q drawing represents a foot of the actual object. The follow- ing are equivalent sizes and scales : — Size Scale One half &' =i' One quarter 3" = i' One eighth i|'' -= i' etc. If a drawing is made full size, the scale is not put on the drawing, but simply the words " Scale, full size." In Figure 5. architectural work and in other drawings representing large objects, the scale is very often as small as i'' = 1'. The ordinary rule with the inches divided into sixteenths answers very well for quite a wide variety of scales in mechanical sketching. If one is doing a good deal of this work, however, it is better to buy the regular triangular 10 ESSENTIALS IN MECHANICAL DRAWING rule, which has twelve different scales on the one piece of wood. This rule, however, should never be used as a straight edge for drawing lines. Dimensions. — No matter to what scale the drawing is made, the full dimensions are put on the drawing. This is very important. For example; if a drawing were made half size, and if the dimensions put on the drawing were also all reduced by half, then the drawing itself would be a full- size drawing of an object only one half as large as the one to be constructed; and, if so used, would result in the object being made half size. As far as practicable, the dimensions are put at the bottom, and to the right of the various views : this, how- ever, is not a fixed rule. Where there are a great many dimensions they are placed on all sides and often across the view itself when it does not confuse the drawing. In any case, the dimensions should not be crowded too close to the lines which represent the various views. Figure 6 illustrates the proper method of putting in dimen- sions. A short dash and a longer one are put in, these being called '^ witness or projection lines." Then lines, called *' dimension lines,'' are drawn from the centers of the longer dashes, and the dimension is put in at about the center, as shown. Arrows are drawn at the points where the dimension lines touch the witness lines. The tip of the arrow should just touch the witness line. In the case of the 2'' dimension shown in the illustration, the distance is indicated as being 2" from the point of one arrow to the point of the other ; and, MECHANICAL SKETCHING II as the witness lines are the same distance apart as the ends of the block, the dimension shows the block to be 2" long. Often, as in the case of the \" dimension, there is not sulBS.- cient room between the witness lines for both the dimension and the dimension lines, in which case the dimension is put inside and the dimension lines and arrows outside the wit- FlGURE 6. ness lines ; but the meaning is the same. It is f ^' from the tip of one arrow to the tip of the other, whether the arrows are on the inside or on the outside of the witness lines. In still another instance where there is very little room between the witness hnes or between two lines whose distance apart is to be given, both dimension lines and arrows and the dimension may be put outside the two lines, as shown in the \'' dimension. Fig. 7. The f dimen- 12 ESSENTIALS IN MECHANICAL DRAWING sion, shown in the upper right-hand corner of Fig. 6, shows a method of putting in a dimension very common with be- ginners, but one which is not considered the best practice. How to make the arrows. — The arrows are not so easy to make as one might think. Properly made, they are at least twice as long as they are wide at the barbs, and are 8 2. 7 ^- ^ \ W/,.,. ^ 5. ' G. ' Figure 7. made slightly curved, as shown by arrow i, Fig. 7. Arrow 2 is in common use. It is made more easily, perhaps, but it is not so artistic and might lead to confusion where a number of witness lines or lines of the drawing are very close together. It has the objection also that it is likely to be the first thing that catches the eye at the first glance over a drawing, whereas the views should be first seen. Arrow 3 is not symmetrical about the dimension line. Arrows 4 MECHANICAL SKETCHING 1 3 and 6, shown in Fig. 7, illustrate incorrect shapes. Arrow 5 shows a very common mistake made by beginners in draw- ing, — that of not having the point of the arrow touch the witness line. Before starting a drawing make a dozen or more arrows, trying to make them as nearly as possible, symmetrical with respect to the dimension lines. There is a tendency on the part of beginners to make the arrows too heavy on account of the fact that they cannot at first be put in by a single stroke of the pencil, but must be gone over several times in order to get the proper shape. In making arrows, therefore, make the strokes of the pencil very light, and avoid making the arrows too large and prominent. Relation of border line to views. — When beginning a sketch of an object, first figure out the size of the views according to the scale to be adopted, and try to get the views in the center of the paper. It is customary to put in a border line which is first put in very lightly ; then if the various views do not come quite in the center of the border line as desired, and if there is plenty of paper outside the border line for trimming, it can readily be shifted- a Kttle in any direction desired. The border line acts as a frame around the object shown, and for that reason should be made heavy, the heaviest weight line of any on the drawing. In some civil engineering drawings and in map work, two lines are often drawn and fancy corners are put in. Do not let any part of the drawing or the lettering touch the border line, and do not put printing outside the border line. 14 ESSENTIALS IN MECHANICAL DRAWING Penciling. — At first make the pencil lines of the drawing very light ; then when the drawing is completed and one is sure that there are no mistakes, the hnes can be gone over again and made heavier where they are not to be inked-in. This practice will save a good deal of erasing, and, there- fore, will save time as well as assist in securing neatness, which is an important consideration in any kind of drawing. Heavier lines make a drawing stand out more clearly and give a much better appearance. The witness Hnes and dimension lines should always be put in much Kghter than the lines of the drawing. When looking at a properly constructed drawing the first thing that the eye should see is the drawing itself, because of its greater weight of line ; then, as a secondary con- sideration, the eye sees the witness and dimension lines and arrows. Putting in curves. — When a corner in the view is to be rounded off, it is properly done by one of two methods. Suppose a right-angled corner is to be rounded with a curve of \" radius. Set the compass to i". Place the point at the corner a (Fig. 8), and strike off two arcs on the lines forming the corner. Then, with these intersections as centers, and with the same radius, strike off two arcs which Figure 8. MECHANICAL SKETCHING 1 5 meet at b, which locates the center for drawing the i" curve. Where the Hnes do not form a right angle, the method of procedure is somewhat different. If, as in Fig. 8, a i^' radius is required, draw light hnes parallel to and "g-^' from the lines on which the curve is to be drawn. The point c at which they meet is the center* for the curve. This last method can be used with the right-angle corners. When to use a solid or dotted line. — The following is a very good rule for the beginner to keep in mind when working on a mechanical drawing. Whenever two plane surfaces meet, forming an edge on the side of the object shown in the view, there is a solid line in that view. It makes no difference whether the surfaces meet at a right angle or at any other angle. If the two surfaces do not meet, making an edge, but rather round off with a considerable curve, then no line is shown except where one of the plane surfaces is parallel to the line of sight. Where two surfaces meet, but on the far side of the object so that the eye cannot see the intersection, the soUd line is not drawn but a dotted line is used, as shown by line 7, Fig. 7. These rules are very important, and a careful observation of them will assist greatly in mechanical drawing. How to make hidden lines. — In making these dotted lines, called " hidden lines '' or " invisible lines,'' the dots, or rather dashes, must not be made too small nor too large. In ordinary drawings the dashes are made about one eighth of an inch long ; on large scale drawings a little longer, and on the small scale drawings they should be made 1 6 ESSENTIALS IN MECHANICAL DRAWING shorter. In any case the dashes should be all of the same length. The spaces between the dashes should be uniform and should not be more than one half the length of the dashes. Hidden lines should not be made as heavy as Ihe solid lines of the view. Center lines. — When drawings are made of cylindrical or partly cylindrical objects, a center line is drawn in the side view through the center of the cylindrical part, and extends on through the end view of this part. Line 8, Fig. 7, shows the proper center line. Breaking dimension lines. — If the dimension lines are very long, it is a common practice to break them up into two or even three long dashes, but this practice should not be carried too far. It is very seldom that more than two dashes should be put in as dimension lines on either side of the dimension. Putting in large dimensions. — Where the dimension is greater than 36 inches, the length of the carpenter's rule, it is often not put down in inches, but in feet and inches. For example, 79 inches would be shown on the drawing as 6' — 7". A very common mistake is to leave out the dash between, thus 6'f'. The objection to this practice is that the workman who might be making the object from the drawing is apt, in the hurry of the work and the possible worn condition of the much-used copy of the drawing, to make a mistake and make the object 67'' instead of 79'' long. The writer recalls seeing mistakes of this kind which usually proved expensive. When making drawings MECHANICAL SKETCHING 1 7 to be used by workmen, make it a practice to give every necessary dimension, for if it is necessary to add or sub- tract other dimensions to get what is wanted, there is always a chance of an error which might be costly. The printing in of dimensions, explanatory notes, and the title constitutes the last, but by no means the least important, part of the drawing. Long after the beginner has acquired considerable faciUty in the making of good drawings, his lettering and figures will betray his inexperi- ence. Lettering. — There are four important things to be kept in mind when lettering. The first point is to have all the letters of a uniform height. In order to accomplish this readily, it is necessary to draw parallel lines to indicate the desired height of the letters or the figures. These lines should be drawn as lightly as possible, especially in case the drawing is not to be inked-in afterwards or traced for blue prints. By the use of the parallel lines the height of letters is sharply defined and there is no difficulty in getting uni- formity in this regard. The second item is that of making all the letters or figures of the same slant. In the system of lettering which is to be used (Fig. 9), the letters and figures are to be made with a slant of about 30 degrees from the vertical. It has been found that the slant system of lettering can be printed much faster than the old vertical system. On account of this fact, the tendency in modern mechanical drawing is to throw aside the old vertical system and more and more to 1 8 ESSENTIALS IN MECHANICAL DRAWING use the slant. There is another reason for the use of the slant system of lettering. A little difference in the slant of the letter or figure is not nearly so noticeable as a corre- sponding difference where the vertical system is used. The eye seems naturally to be trained to notice anything that is out of the vertical, but a slight variation in any given slant is not so readily observed. Sffi^E^^^ n.hrflt->lnf)nklrrir)nrrq-r sl ij \/wyy/ Figure 9. Some difficulty is experienced by beginners in getting the proper slant for such letters as X and F. The easiest method of accomplishing this at the start is to draw a light line at the proper slant, representing the center of the letter, and then to make the letter symmetrical about this line. The third thing to be kept in mind in developing a good system of lettering is the item of spacing. This requires considerable care at the start ; but, after some experience has been gained, letters and figures will be properly spaced MECHANICAL SKETCHING 1 9 without much thought. The letters should not be put in at an equal distance apart, but the distance between the letters should be such that the space or area between the letters is equal. To illustrate, — the capital letters L and M must be as close together as possible where the L pre- cedes the M , in order to get anything like uniform spacing. A glance at the sample lettering will show the necessity for carefully considering the spacing on account of the in- equality in shape of the various letters and figures. In Fig. 9, the spacing between the capitals F and G is too great. The fourth requirement is that the letters and figures should have the same weight or thickness of line. This is essential, not only in the more difficult work of inking-in letters and figures, but also in the pencil work. In ordi- nary lettering for mechanical drawings, no attempt is made to shade either letters or figures. The main objects to be kept in mind in learning lettering for mechanical drawings are simplicity and speed as well as good appearance and clearness. Figure 9 shows a system of lettering that is in very common use. Note the simplicity of the letters. There are no extra curves, only just enough to indicate the letters. This type of lettering is clear cut, can be read easily, and can be penciled in with speed when once mastered. As in any system of lettering, the exact shape of the letters must be memorized. To this end it is well to have at least one memory test in lettering the alphabet early in the drawing 20 ESSENTIALS IN MECHANICAL DRAWING course in order to be sure that the proper shapes are being acquired right from the start. For ordinary drawings, the capitals and the higher of the smaller letters are made i^e'' high, while the smaller letters are put in ^^^ high. The proper proportion is to make the body of the small letter three fifths the total height of the letter. For example, the body of the small letter b is three fifths of its total height. This, however, is a proportion which is rather hard to get, and the propor- tion of i and t6 works out very well and, if anything, gives a bolder and -more rounding shape to the letter. The possible criticism to the letters and figures shown is that they are not broad and full enough. This is more ap- parent in connection with the capitals and the figures. In putting in dimensions, the figures are ordinarily printed i'' high. If a fraction is used, each figure in the fraction is sometimes printed a little smaller, about -^ of an inch in height, three quarters the height of the full number. Good lettering cannot be done with a dull or very soft pencil. Sharpen the pencil to a long point and have a small piece of fine sandpaper at hand for keeping the point in good condition. It is of equal importance to keep the pencil sharp when making the drawings. Titles. — The title of a drawing is variously located. The ordinary drafting office practice is to have the title at the lower right-hand corner. Figure lo shows a simple form. The name and date are i^" from the lower border line. The lettering has yi^" spaces between. The name of the object MECHANICAL SKETCHING 21 shown in the drawing is put in capitals ^ while in the case of the name, the scale, and the date, small letters are used. Often the title is located above the view or views as in case of Fig. i8 and Fig. 20; and sometimes it is placed in the center of the paper directly below the views as in Fig. 17. The im- portant thing to be kept in mind when penciling in the title TABLE BOOK RACK Scale: g"^ /'. v>|