Am^^^ rnia University o^' bl Southern ] Library * v1^ 1 ^ * "s J *\^ 0- 0! Oi Oi 1 I 9i 6l Oi •0: .-> r IB A TEXT BOOK OF MECHANICAL DRAWING PART III. MACHINE DRAWING, BY Gardner C. Anthony, A. M., PROFESSOR OF DRAWING IN TUFTS COLLEGE ; DEAN OF THE BROMFIELD-PEARSON SCHOOL ; MEMBER OF AJVIERICAN SOCIETY OF MECHANICAL ENGINEERS. Copyright, By Gardner C. Anthony, 1893. Anno)( 5U158i6S PREFACE. This treatise is inteiuled to teach the practical application of the principles of projection to the illustration of machinery ; to inform the student concerning many of the exceptions to the laws of projection ; and finally, to furnish such practical examples as may serve for problems to the student, and suggestions to the draftsman. It aims to encourage a concise graphic expression in the colloquial phrases of modern mechanical drawing, instead of the more classic language which would enforce a rigid adherence to the laws of projection, and the customs of several centuries of architectural draftsmen. The examples chosen are those which, being faithfully and intelligibly executed, will enable the student to acquire much practical information on the subject by the making of only a few drawings. The number of subjects suitable for these exercises is surprisingly small ; for at this period of the student's advancement, it is the art of graphic expression rather than that of drawing which is most required, and this cannot be attained by the making of copies. It is, indeed, almost a waste of time to copy a drawing, since proficiency in penciling may be better acquired by other means, and tracing is much superior as an exercise in inking. The difficulty in obtaining suitable models has, however, necessitated much of this, but it is hoped that the present volume may assist in obviating the trouble by supplying such problems as may lead the student to observe closely, think accurately, and express clearly. The subjects chosen for the exercises are such as have been found suitable for illustrating most of the principles taught as well as the practical suggestions made in this book. Iv PKEFACE. Much care has been exercised in the making and figuring of these drawings, that they should be complete and correct ; but tliat this should be realized in every detail, is more than tiie author's experience would lead him to expect. While it is to be desired that the one great lesson of accuracy should be emphasized above all others, it is also to be remembered that draftsmen are not infallible, and it is the minimum rather than the absence of mistakes by which we are to judge. As this book is tlie advocate of no special systems of lining, figuring, lettering, etc., the plates will be found to represent a variety of types in drawing which may at some time serve the draftsman who is not bound to special methods but seeks the one and only end to be attained, namely, the art of using all available instrumentalities in securing a terse, accurate, and complete expression of mechanical ideas. Gardner C. Anthony. Tufts College, Mass., Oct. 2, 1893. CONTENTS. CHAPTER I. The Representation of Bolts and Screws. screw threads. U. S. Standard Screw Threads, 2 ; Table of the Strength of Screw Threads, 4 ; Table of Decimal Equivalents, 5 ; Representation of V Threads, tj ; Square Threads, (i ; Buttress Thread, 7. BOLTS AND SCREWS. U. S. Standard Hexagonal Head and Nut, 8; Check-nuts and Washers, 10; Square Heads and Nuts, 11; Set-screws, 12; Cap-screws, 13; Round Head Screws, 13. CHAPTER n. General Rules for the Making of Working Drawings. Introduction, 14; Classes of Drawings, 16; Size of Sheet, 16; Lay-out of the Drawing, 17; Number and Arrangement of Views, 17 ; Scale to be Used, 18 ; Method of Penciling the Drawing, 19 ; Method of Inking, 20 ; Shade Lines, 20 ; Line Shading, 21 ; Title, 23. vi CONTENTS. CHAPTER III. SECTIONAL VIEWS. Use of a Section, 24 ; vSection Liners, 24 ; Notation for Section Lining, 25 ; Dotted Sections, 26 ; Colored Sections, 28 ; Choice of Cutting Planes, 2^ ; Broken Sections, 32. FIGURING. Methods considered, 32; Rules to be observed, 34; Finding Dimensions, 36; Finished Sur- faces, 36. TECHNICAL SKETCHING. Value and Methods of Practice, 37 ; Order to be observed in the making of a Sketch, 38 ; Practi- cal Observations, 39 ; Sketch Books, 40. CHAPTER IV. Examples for Practice. Problem 1. Assembled Drawing of a Locomotive Parallel Rod, 4L 2. Assembled Drawing of a Boiler Check Valve, 42. 3. Detailed Drawing of a Globe Valve, 42. 4. Connecting Rod, 42 ; Method of determining the curves of intersection, 42 ; Action of Gib and Key, 44 ; Assembled Drawing of a Connecting Rod, 45. 5. Detailed Drawing of a Back Rest, 46. 6. Assembled Drawing of a Screw Polishing Machine, 47. 7. Detailed Drawing of a Crosshead, 47. 8. Detailed Drawing of the Tail Stock of a 17" Lathe, 48. 9. Assembled Drawing of the Head Stock of a 16" Lathe, 48, CHAPTER I. Bolts and Screws. The representation of bolts, nuts, screws and screw-threads, is of such importance that a thorough knowledge of their proportions, and the conventional method of illustrating them, is of the first consideration to the machine draftsman. Printed tables of the dimensions of bolt-heads, nuts, set-screws, etc., are usually published in connection with treatises on machine design, but it is far better for the student of machine drawing to fix the proportions of the various parts in his mind, and learn to judge for himself of their comparative value. In the present treatise, only the more common types will be illustrated, and it is assumed that the student is already familiar with the theory of the helix and its application to the various forms of screw-threads, as well as the drawing of an hexagonal bolt-head and nut.* In the study of the following pages the student is recommended to so master each type that he may rapidly draw or sketch the bolt or screw with its proper proportions, having only the diameter of the thread given. * For a complete t^c■ilti^^e on the helix and its applioation to the drawing nf screw-threads, together wiih the construction of the hexagonal holt-head and nut, see Part II. of this series. SCREW-THREADS. Scuew-Thkeads. The form of screw-thread commonly used, is tliat of the U. S. Standard, also known as the Franklin Institute Standard, and illustrated by Fig. 1. The proportion of pitch to diameter is P=0.24i D 4-0. 625-0. 175. The depth of the thread [S] is 0.65 P. While the pitch in single threaded screws is, properly speaking, the distance between consecutive threads, the term is often applied to the number of threads per inch. Thus a screw having eight threads to an inch is frequently spoken of as 8 pitch. Although this is obviously wrong, yet it leads to no confusion, since the pitch, and the number of threads per inch, are reciprocals of each other. The flattening of the thread, as indicated in the figure, is for the purpose of preventing injury to the thread by the bruising of the otherwise sharp V. In the following table the proportions of this thread are given for bolts from i to 4 inches in diameter. To this is also added the tensile strength of the screw when subjected to varying stresses. Column 1 gives the outside diameter of the thread. Column 2 gives the number of threads per inch, the pitch being the reciprocal of this number. Column .3 gives the diameter at the root, or bottom of thread. This is important in obtaining the diameter of the tap drill, which is approximately given in the next column. Fig. I ^^ge -^ LEFT HAND RIGHT HAND FiG.2 SCREW-THREADS. i Column 4 gives the diameter of drill to be used for any given diameter of thread or tap. It will be noticed that these sizes are a trifle larger than the diameters at root of thread. Columns 5, fi, 7 and 8 are of special value to the machine designer, but are introduced here to enable the student to obtain some appreciation of the strength of the V thread. The weakest part being at the root, its strength will be dependent on the diameter of this part and the tensile strength of the material. In the case of a screw of U inch diameter, the diameter at the root is found in column 3 to be 1.065, the area of which is .78. If it is required that 4000 lbs. be the strain to which every square inch is subjected, then will the thread sustain .78 times 4000 lbs. which is 3120 as given in column 5. In this manner the table is constructed for four, five, six and seven thousand pounds tensile strength. A valuable application of this table is in determming the size of a screw, having given the total load to be sustained and the permissible strain per square inch. Suppose it is required to obtain the diameter of a bolt sufficient to overcome a re- sistance of 32000 lbs. and to be strained to only 4000 lbs. per square inch. In column 5 is found the number 33000, which is the nearest to the required amount. Against this number, in column 1, is seen SJ, which is the necessary diameter of screw. If, however, the allowable strain per square inch had been 7000 lbs. a screw of 2f inch diameter could have been used. In connection with this table, one of decimal equivalents is also published. The student should not be dependent on this for the equivalents of eighths and sixteenths of an inch, as they may be so easily memorized and are of such frequent use. SCREW-THREADS . U. S. STANDARD THKEAD. Diame- ter of Scifw. Threads per luch. Diameter at root of Thread. Diame- ter of Tap Drill Tensile | Tensile Strength at;Strcngth at 4000 lljs.per 60OO Ihs.per sq. Inch. sq. Inch. Tensile | Tensile •Strength at Strength at eoooibs. perTOOOlbs.per sq. Inch. sq. Inch. 1 4 20 .185 A 107 134 161 187 ^ 18 .240 L 181 226 271 316 s 16 .294 A 271 339 407 475 -;v 14 .344 23 371 465 558 650 i 13 .400 Yi 500 625 750 875 A 12 .454 15. 647 809 971 1133 a 11 .507 1^' 784 980 1176 1372 3 10 .620 R 1200 1500 1800 2100 I. 8 9 .731 4 1680 2100 2520 2940 1 8 .8157 li 2200 2750 3300 3850 u 7 .940 2760 3450 4140 4830 ll 7 1.065 1,^- 3120 3900 4680 5460 IS 6 1.160 lA 4240 5300 6360 7420 u 6 1.284 13^2 5120 6100 7680 8960 1§ 5\ 1.389 isi eiL'O 7650 9180 10710 H 5 1.491 n 7040 8800 10560 12320 H 5 1.616 n 8120 10150 12180 14210 2 4i 1.712 ^ 9200 11500 13800 16100 2i 4i 1.962 2 12480 15600 18720 21840 2J- 4 2.176 2A 14800 18500 22200 2.5900 2iJ 4 2.426 2.^6 18400 23000 27600 32200 3 3!> 2.629 2j!, 217(;u 27200 32K4U 38080 3V 31 2.879 2U 26400 33000 39600 46200 Sk 3} 3.100 H' 30160 37700 45240 52780 3J 3 3.317 Hh 34400 39600 43000 51600 60200 4 3 3.567 49500 594U0 69300 SCBEW-THRKADS . DECIMAL EQUIVALENTS. Fraction. Decimal. Fraction. Decimal. Fraction. Decimal. Fraction. Decimal. tV .015625 .03125 .046875 .265625 .28125 .296875 If .515625 .53125 .546875 u 2 a SS u .765625 .78125 .796875 .0625 5 .3125 tV .5635 H .8125 8 .078125 .09375 .109375 11 II .328125 .34375 .359375 .578125 .59375 .609375 .8281<;5 .84375 .859375 .125 3 S .375 5 8 .625 i .875 .140625 .15625 .171876 ft u .390625 .40625 .421875 U .640625 .65625 .671875 ii II .890625 .90625 .921875 A .J 875 A .4375 H .6875 n .9375 .203125 .21875 .234375 .453125 .46875 .484375 II .703125 .71875 .734375 .953125 .96875 .984375 1 4 .25 '2 .5 3 4 .75 1 FiG.3 SCREW-THREADS. Representation of V Threads. — It is very rarely that a thread would be shown as in Fig. 1 and seldom as in Fig. 2, since the labor of drawing the V is very considerable. The best conventional method of representing the V thread is shown by Fig. 3, although that of Fig. 4 is much used. The objection to the latter form is in tlie greater length of the heavy lines which obscures more of the drawing, often making too little space for the figures. It is rarely necessary to draw the exact number of threads per inch, required by the table; in- deed the representation is usually clearer when a less number is used, and the drawing of unnecessary lines is also saved. If it is of importance to specify tiie pitch, it is best done by Roman numerals, indicating the number per inch. A double thread is shown by Fig. 5, for the pur- pose of calling attention to the difference between it and the single thread. The character of the double thread is better shown by Fig. 6. Fig. 4 in the case of a dotted thread, economy in the use of lines is of still greater importance, and the V alone is often shown as illustrated by Fig. 17 or in a practical drawing by the cross-head pin, and gib set- screws of Plate 10. Square Threads. — In Fig. 7 three forms of the square thread are represented. To the right is the section showing the proportion of pitch to depth of thread. In the middle is drawn the more correct conven- tional representation, and on the left is the simple form commonly used. In the latter it will be observed that the inner helix is omitted and in Fig. 5 SCRE\V-TH HEADS. this type of screw it is also better to draw the exact number of threads required, except the scale be small or the pitch very fine. Buttress Thread.— Fig. 8 illustrates a third type which is sometimes known as a ratchet thread. It is used for imparting motion but only in cases where the strain is in one direction, as in a screw jack. By this means the friction is reduced, while the strength of the V thread is maintained. There is no standard for this thread, but the usual form and proportion is that shown by the figure. Bolts and Screws. Save for the hexagonal bolt-head, there is no generally accepted standard for the heads of bolts and screws. For the draftsman it is essential however, that some system be used in the illustration of forms which occur so frequently as do these. The time required to properly design the head of a bolt, set-screw, or other fastening device, is very considerable, and to have done it once should suflice. When a definite form of head is required it should only be necessary to produce the same according to certain proportions already fixed, and obtainable either from a ready reference table or, better still, from memory. As it is generally unnecessary to give all the dimensions of the head or nut on the drawing, it is immaterial whether the representation conforms exactly to the finished size or not. It is therefore a useless delay for the drafts- OOUBLE THREAD -c-P-A-F Fig. 6 Fig. 8 BOLTS AND SCREWS. r^^^3^^^«Tsrtv man to spend any more than time enough to produce the desired type of head according to his standard. The following proportions are suggested from standards already in use by many shops. U. S. Standard Hexagonal Head and Nut. — Two types of head and nut are illustrated, the rounded or spherical Figures 9, 10, 11, and chamfered or conical Figures 13, 13, 1-1. In general the chamfered head is used for sketching, for rough work and when- ever a special finish is not required. The rounded head, which pre- sents a more finished appearance, is used almost exclusively for the heads and nuts of bolts for finished machinery. Three dimensions only are fixed by the Government standard, viz., the distance across flats, or short diameter, commonly marked H and equal to one and one-half times the diameter of the bolt, plus one-eighth of an inch. Second, the thickness of the head, equal to one-half the short diameter. Third, the thickness of nut, which is equal to the diameter of the bolt. In the following suggestions for the drawing of hexagonal heads it should be remembered that the rounded type is a sphere cut by six planes parallel to the axis, while the chamfered head may be considered as a cone similarly cut. Fig. 1). — Having determined H or the short diameter and drawn the edges, lay off the thickness of head and describe the top with a radius of twice the diameter of bolt. To obtain the arc ABC, determine point B which is equal in hight to K, and through it describe the required arc BOLTS AND SCREWS. with radius equal to M N, using care to have C and A of same hight. The fine dotted lines show the precise method of finding these points by obtaining the long diameter. Fig". 10. — Figure the short diameter and obtain the long diameter geometrically as shown by the dotted lines. [In small bolts, or drawings to small scale the long diameter may be made equal to 2 D.] The edge SL is equidistant from VW and the center line, and equal to V AV in lensth. Throudi S describe arc O R S concentric with curvature of top. Tiu-ough S and V describe arc S E V with radius equal to L W. Fig. 11. — This differs from the preceeding only in that the thick- ness is equal to the diameter of the bolt. Observe also that the curvature of the top begins at G instead of on the center line. Figures 13, 13, and 14-. — In drawing the chamfered head or nut across corners, as in Figures 12 and 14, describe ABC tangent to top with radius equal to diameter of bolt. From the same center describe arc E F, point F being equal in hight to C. Heads and nuts drawn in connection with the parts which they unite should in general be shown across corners. This will prevent errors in the allowance to be made for hubs, washers, etc., as it gives the maximum space required for the head. The necessity for observing this is at times 80 great that the bolt is required to be drawn across corners in all views in which it may appear. In sketcliing bolts and in the making of bolt lists it is better to represent them across flats, as they are both more easily drawn^and figured. Fig. 1 2 Fig. 13 Fig. 14 10 BOLTS ANJ) SCREWS. Fig. 15 illustrates a bolt with check-nuts and washers. It is a common practice to make both nuts of the same thickness and equal to three-quarters of the diameter of the bolt. The more proper form, however, is to make the thickness of the nut sustaining the load equal to the diameter of bolt. Observe also that the outer nut is chamfered on both faces. This might be done in all cases, but polished parts united by bolts having heads and nuts so chamfered, are not -^ ^ hi T L LENGTH F,G.I5 ' «^'<^16 so easily wiped, since the oil and dust is likely to lodge under the corners. The necessity for chamfering the outer faces is very great, as otherwise the sharp corners would cause difficulty in handling and soon become marred. When a tapped hole is extended for some length beyond the end of the screw or bolt, as in Fig. 16, it is better not to draw the threads in this portion if the piece tapped be in section. But if a tapped hole be shown in a section then the threads may be shown as at A, Fig. 17. Dotted representations of the same thread are shown by B and C. BOLTS AND SCREWS. 11 The end view of a tapped hole is often illustrated by the drawing of two circles in order to distinguish it from a drilled hole. In such cases the outer circle is made equal to the diameter of the thread. The length of a bolt is measured from the underside of the head to the end, unless the end be Fig 18 part only, as in Fig. 18. The length of rounded, in which case it is usual to figure the straight the thread must of course be figured from the end. Square Headed Bolts, Nuts and Screws. usually observed for the square also, save in the radius to be two and one-half diameters. Fig-. 18 The arc A B C is concentric with the top and is described through the point B which is equal in hight to E, In drawing the head or -The proportions for hexagonal heads are for the curvature of the top, which is better nut across corners the geometrical method 12 BOLTS AND SCREWS. may be used as shown, remembering that F G is equal to half the short diameter, and F K half the long diameter. Or the long diameter may be made equal to one and one-half the short diameter in small bolts, or where accurate work is not required. LUgJ 1 Fig. 20 FiG.21 "f (M 1 1 b Fig. 22 Set-screw, Fig. 19. — The construction of this will be apparent from the figure on which the proportions are given. Of course it is unnecessary to draw the top view as the distance marked A can be estimated by the eye. The radius for the point of a set-screw should be four diameters. Fig'uve.s yO, 31 aii