•ECOND COFY, I8d9. A PRACTICAL COURSE IVlECHANlCAL DRAWING WILLIAM FOX, M. E., Assistant Professur cf Applied Matl'fniutics, College of the City of New York-. ' AND CHARLES W. THOMAS, M. E., Member of the A. S. M. r.. Instructor in Descriptive Geometrj cmd Drawing. College of the City of New York. WITH NUMEROUS ILLUSTRATIONS. NEW YORK: D. VAN NOSTRAND COMPANY, 23 MURRAY AND 27 WARREN STREETS 1899 \^ .A^ i 39565 Copyngm, 1899, BY D Van Nostrand Compawy, isas I F*REKACE. The object of this work is to provide a simple, prac- tical course of progressive lessons in Mechanical Draw- ing. It will be noticed that all instructions are given in connection with a special, concrete exercise, instead of being presented in an abstract and general manner; fur- thermore, the didactic principle of " one thing at a time " has been followed as much as possible. No practical draughtsman will criticise us for not starting with the traditional geometric problems that, from time immemorial, have adorned the introductory- pages of " Manuals of Mechanical Drawing." We have reason to believe that the average student does not appre- ciate the beauty and use of Euclid's Geometry and Monge's Descriptive Geometry, if these subjects are introduced before their bearing and practical application are understood. We reserve the introduction of such scientific work for a second part, hoping thereby to arouse an interest in advanced problems that necessitate strictly mathematical constructions. The subject is best taught with the use of models, instead of sketches and pictorial illustrations. A glance through the book will convince the teacher that a set of models corresponding to the exercises can be easily procured. The result of the instruction will then be real instead of imaginary, since the student knows absolutely what his drawings represent, and need not rely on an untrained imagination. ■UjL IV PREFACE. This course is peculiarly adapted to the need ^ of High- schools, Schools for Apprentices, and 3'oung Mechanics. The exercises are elementary and progressive in character. There is no striving after effect ; all thinking teachers deplore the tendency tov^ards ' ' exhibition-work ' ' of any kind ; the danger in the case of mechanical drawing is the greatest of all. The student is taught to copy a magnificently tinted, complicated drawing in a faithful, photographic style ; and, lo, the populace stand open- mouthed before a work of ' ' art ' ' of absolutely no educa- tional value. Ask the skillful draughtsman of a marine- triple- expansion-steam-engine to make a working sketch of the piston rod and nee what he invents ! The figures in this book are intended to show what an average draughtsman should be able to accomplish. No unusual skill or finish is claimed for these illustrations ; their very imperfections are such as to encourage the student, since he feels that he can certainly do at least as well as the designer. We trust that after he has faith- fully worked through the series of exercises prescribed, the pupil will find that he can make sketches from any actual piece of machinery, and also that he will be able to ' ' read ' ' and understand an ordinary mechanical drawing. We take this opportunity to express our thanks for cuts furnished by Lexington Gear Works, Schwencke, Kirk & Co., F. W. Devoe, C. T. Raynolds Co. and Keuffel & Ksser. CoivLEGE OF THE CiTY OF NEW YORK, W. F. November, 1898. C. W. T. COXTHNTS. PARES Introduction 1-5 Working drawinocs ; perspective ; parallel perspec- tive ; perpendicular projection; views. Use of T-Square, Triangles and Ruling Pen. 6-11 E-vercise i. — Practice drawing. Material required and its use. Exercise 2. — A. Square Prism, a Square Pyramid, and a Wedge Clioice of views ; foresliortenc d lines. Dimension Links 12-13 E.veirise j. — Biocks. Dimensioning drawings. Drawing to Scale 14-16 Exo'cise 4, — Bench. Scale-rule. Exercise 5. — Box. Freehand working sketch. Center Lines 17-20 Exercise 6. -Pin. Method of drawing center-lines; use of compass. Use of Dividers 21-24 Exercise 7. — Ink-pot Division of lines into equal parts. Use of Bowpen 25-27 Exercise S. -Angle-patch. Small circle.-^. Exercise g. — Face-wheel Center-circle. Sections 28-34 Exercise 10. a. Cylindrical Pipe; /'. Box and Cover. Manner of taking and drawn ng sec- tions. Exercise 11. — Stufhng-box and gland Sectioning different pieces. Exercise 12. — a Phenix Column; b. Brasses. Large and small section -surfaces. VI CONTENTS PAGES Shading ^ 35-45 Exercise 13. — Examples iuvolving projecting parts and hollows. Outline-shading. Exercise 14 — Eye-bar Shading of cylinders. Exercise 15. — Rivets. Shading spheres and cones. Exercise 16. — a. Journal; b. Handle. Shading fillets ; irregular curved surfaces; use of sweeps. Exercise ly.— a. Key; b. Pin; c. Bracket; d. Cylin- der-head. Miscellaneous rules for shading. IvKTTERING 46-49 Exercise 18. — Ruled letters. Exercise ig — Freehand Tetters. Round writing. Exercise ^o.— Lettering the Exercises 1-17. Rules. Screws ' 50-63 Explanations and general directions. Exercise 21. — Bolt and nuts. Triangular thread. Exercise 22. — Oil -cup. Exercise 23 — Tail-stock of Lathe. Square-thread Exercise 24. — Relief Valve. Drawing of a helical spring. COG-W HEELS 64-76 Exercise 2§. — Two Gear-wheels. Parts and proportions of teeth. Exercise 26. — Rack and 'iuion. Exercise ^7. — Worm and Worm-wheel. Exercise 28 — Bevel-gear and Pinion. Reading of Drawings 77-86 Exercise 2g. — Main Shaft of Steam-engine. Conventional markings. Exercise JO. — Piston and Piston-rod. Exercise j/. — Con necting-rod . Use of detail views. Miscellaneous 87-92 Views ; Dimensions ; Methods ; Colored Inks ; Special Practice; Lettered Instructions; Tra- cing; Additional Instruments. INTRODUCTION. A zc or king draiving must give all the necessary infor- mation to the workman, if it is to be of any practical use in the shop. The form of the object to be constructed, as well as the dimensions, must be shown in an unmis- takable manner. Sometimes rigid laws, and in other cases conventional rules, must be obeyed in order that the resulting drawing can be easily " read " or understood. It is evident that in deciding as to the different methods to be emploj^ed certain conditions are imposed ; the method which fulfills the greatest number of these conditions and in the best manner, would naturalh^ be the one adopted. A few of these are the following : parallel lines are to be shown parallel ; dimensions of lines in the drawing should correspond in some definite ratio to the real dimensions in space ; angles between lines should be represented true to nature ; the details of construction and the interior also must be distinctl}^ shown. An ordinary perspective drawing is not available for this work, since it shows the object as it appears to the eye with all the distortions of form and changed relative dimensions. We find, however, that, as the point of view is moved further and further away from the object, these distortions are gradually decreased. Thus, if far enough away, the eye would perceive the right angles of the front face of a cube, for example, as right angles, and the front face itself as a square, and the other edges as parallel lines. 2 MECHANICAL DRAWINP- Let us now imagine a '.ear pane of glass to be placed in front of the cube, and let us trace the outline and edges of the cube on that pane as they would appear to an eye very far away. Rays of light from every point of the cube to the distant eye are practically parallel to each other, and the points where they pierce the pane of glass, form the image or tracing of the cube beyond. "^ig. ■ shows the cube as viewed at an angle by an eye placed far away, above the level of the cube and to the vight. If we now suppose the eye to move down and to the front of the object, the rays of vision will become perpendicular to the pane of glass, and the top and the side of the cube will shrink in size until, when at last the eye is in front, they disappear altogether and Fig. 2 is the result. Fig. I is a so-called parallel perspective of the cube. The top and side are evidentl}^ distorted, while the edges, though parallel to each other, may or may not be equal in length to the lines bounding the front face, depen-^''" on the obliquity of the view. This method of drawing is useful in bringing out the solidity of an object, an- .^ giving ■ ■ ' ^a concerning the relative dimensions of INTRODUCTION. 3 some of the lines. TheinforL ..ion imparted is, however, not absolute. Thus, in the case of Fig. i , the block repre- sented may be a solid in which the sides, top and bottom are inclined to the front face, and are not at right angles to it, as in the cube. We shall emplo}^ this method of representation (parallel perspective) as an auxiliary to -^nable the student to imagine the solids to be drawn. Fig. 2 gives the manner usually employed. We may imagine the eye sighting along each perpendicular edge Fig. 2. and tracing the lines on the transparent pane as the eye moves, keeping alwaj's directl}^ in front of the edges drawn. The result will then be the same as if the view were taken from a ver}' distant point. This drawing alone (Fig. 2) is, however, not sufficient : it gives only two dimensions of the solid. To obtain the third dimension, another direct view of the cube is traced on a trans- parent plane placed perpendicularly to the pane in front of +he object. This second view maybe either from the top, liom below, from the right or from the left, and is taken ' sighting in a manner like the one described above. In a working draAving these views are th"*^ ~' d on the 4 MECHANICAL DRAWING. same sheet of paper in proper corresponding positions. Usually two of the views taken suffice to show the form and proportions : in complicated pieces of machinery, however, three and even more views are necessary to give the information required. The planes on which the tracing is supposed to be done are placed at right angles to each other, and the tracings are then properly arranged on the same sheet of paper. Fig. 3. Fig. 3 shows a glass box in which the solid is sup- posed to be placed ; the views are shown traced on the panes, the lines of sight being in every case at right angles to the pane taken. The view on the front plate is called the front-view or elevation, and shows the front of the object in its natural upright position ; the top plane giv th_ top-view or plan ; the right and the left sides INTRODUCTION. 5 show respective!}^ the right and left side-views or end- elevations ; the bottom carries the bottom-view or view from the bottom upward. Fig. 4 illustrates the proper grouping of the drawings. The hinges marked in Fig. 3 indicate the manner in froul Vieui or Froril Ele\iol\on. To-p\rve\*; or "PVoon. Ri^\ SideV(ieuf of RiM t\ev(i\OYtt Bo\lom \HivJi Fig. 4. which the various plates are swung forward into the plane in front of the object. The front view is placed in the center, and each of the other views is placed to that side of the elevation from which it is taken. M U DRAWIN' USE OF T-SQUARE, TRIANGLES AND RULING-PEN- EXERCISE 1. Draw the front-view, top-view and riglit-side-view of the object shown in Figs. 3 and 4, making the lines about four times as long as in Fij. 4. It need hardly be said that the box, the panes, and the hinges are not to be drawn. Special Instructions : The student is advised to procure a drawing-board, la^xiy", an i8" T-square, two triangles, 45°, and 60° and 30°, and thumbtacks. Special drawing paper is to be used for this work, and a hard pencil. No. 5 or No. 6 or grade VH, is needed for the purpose of producing a faint sketch that can easily be erased after the drawing has been inked in. The exer- ;ises in this book are designed so as to go on paper 10" X 14", leaving a margin of at least %" on three sides, and a special margin of i" on the left side for the purpose of binding the set. Figs. 5 and 6 illustrate the position of the T-square for drawing horizontal lines ; perpendiculars to these horizontals are made by means of the triangles as shown. Parallel horizontal lines are constructed by simply shift- ing the T-square, the head of the same being in contact with the left-hand edge of the board. In a similar m-^ - ner, perpendiculars are passed through points by si. sliding the triangle along the T-square until it is in proper position, as shown in Figs. 7 and 8. USh OF i^-SOUARE, 'S, ETC. 7 tor the present in An ordinar}^ ;u- may u^ ,^. measuring off disuances, as required. The spacing of the views is chiefly a matter of artistic judgment. All that can be said in regard to this matter is that the views must not be too far apart, because they Fig. 5. then appear to be independent of one another, and it , difficult to trace corresponding parts. Further- .00 small a space must also be avoided, because . the views are merged together and do not appear 8 MECHANICAL DRAWING. separate and distinct. It is also evident that large draw- ings will require larger spaces than small ones. From y^!' to i" is the amount that may be allowed in making the exercises described in this book. It is often desirable to show edges that are not directly visible. This is done by means of so-called dotted lines, which are really formed of short dashes. Fig. 6. These indicate that a certain edge or line would appear in that position if the object were transparent enough. The bottom view in Fig. 4 illustrates this conventional method of representing hidden edges. After the drawing has been sketched in pencil, it is to be " inked in." The drawing-pen, and the proper man- ner of holding it, are shown in Figs. 5 to 8. The India USE OF T-SOUARE, TRIANGLES, ETC. 9 ink used is somewhat different from the ordinary writing fluids ; it can be obtained prepared and ready for use, or may be rubbed up from a stick of Chinese ink. A quill, or an ordinary writing-pen, is employed to transfer the Fig. 7. ink to the space between the blades of the drawing-pen. The outside of these blades must be kept clean and free from ink to prevent blotting. The desired thickness of the line is obtained by tightening the little thumb-screw, bringing the points of the blades the required distance lO MECHANICAL DRAWING. apart. Try your pen on a separate slip of paper, before applying it to the drawing. Like any c " .ools, draw- ing instruments must be kept clean, and should be wiped ^f^y^r - the ink has a chance to dry. .\s regards the qLib.-iL_y of tliC instruments, they should be the best that the student is able to procure. Erase all pencil lines with a soft rubber, that does not mar the ink-lines. Fio. 8. EXERCISE 2. Draw the plan and the elevation of the following objects : a. A square prism, 2" x 2" x 3" ; b. A square pyramid, 2"x2"x3" high; c. A wedge (triangular prism), rectangular base IK" x 3" ; height, 2 2". SpECIaIv Instructions : The elevation represents the object in its natural position. Thus, the prism should be USE OF T-SOUARE, TRIANGLES, ETC. II placed in an upright position, the front face (2" x 3") ap- pearing as a 1- :angle in full size ; similarly the plan will show a squar whose side is 2" . The pyramid, in a like manner, is best placed on the square base : the ^ ^x then be a square with the diagonals to represent the slant- ing edges . It will be noticed that these edges are foreshort- ened in both views, and therefore their actual length can- not be determined directly from the drawing ; if the alti- tude or height of the pyramid and half the diagonal in the square plan are laid off perpendicularly to each other, then the line (hypothenuse) completing the right-angled trian- gle will give the length of the slanting edges. From the dimensions given, the elevation and the plan of the wedge can be readily found. The former will be a rectangle, 3"x 2V2", but does not show the true size of the slanting front face ; the wedge-line appears as a line drawn across the rectangular plan (3" x i^/^'O' which gives the true size of the base only. If desired, the dimensions of the slanting lines can be found by a construction simi- lar to the one described in connection with the pyramid. Instead of the rectangular elevation , a view from the trian- gular end may be substituted ; the result will then be a drawing showing more clearly the form of the wedge. 12 MECHANICAL DRAWING. DIMENSION-LINES, EXERCISE 3. Draw three views (front-view, side-view, and plan) each of Fig. 9 and Fig. 10.* Mark the dimensions on the drawing ! SpECiaIv Instructions : Auxiliary lines are used to show dimensions. These are thin, long-dashed lines Fig. 9. drawn near and parallel to the distances the size of which is to be given. The ends of the dimension lines are shown to correspond to the proper points by short cross lines ; ♦Note: Fig. 10 is a so-called Isometric drawing. DIMENSION-LINKS. 13 they are also marked with arrowheads, drawn free-hand with an ordinary writing-pen. In a space left open near the middle of the dimension-line the figure indicating the length is marked. These figures are best placed so as to read along the dimension lines, and from the bottom or from the right-hand side, for horizontals and verticals respectively. The inch (marked '') is usually taken as the unit.* Fig. 10. The sketches shown in Figs. 9 and 10 are intended to take the place of models ; they indicate the solid form of the object to be drawn. The dimensions should be marked on every working drawing ; hence the student is expected to ' ' figure ' ' every exercise following. ♦Several forms of these figures are given in Fig. 50. 14 MECHANICAL DRAWING. DRAWING TO SCALE. EXERCISE 4. Draw the three views required for the bench shown in Fig. 11. Scale: 34" = l"- SpECIai, Instructions : Since it is rarely practicable to make the dimensions of a drawing the same as those of the object itself, the method of drawing to scale has been -Hi^FT >iii*— ..a Fig 11. invented. The relative proportions of the parts are cor- rectly shown, while the actual dimensions are obtained by using a reduced unit. Thus, in this drawing each ^" stands for i'' on the object ; and if we construct a rule on which the quarter-inches are marked in the order of num- bers as the inches on the inch-rule, it can be used directly DRAWING TO SCALE. 1 5 to lay off required distances on our drawing. The student is advised to buy a special scale-rule, at least 12" long, and divided to several different scales on various sides. A good scale is the triangular scale, shown Fig. 12, giving different divisions on the six sides and in the grooves. These correspond to %2", Vs", %6", Vi", % ", V2", %", i") i%"» 3'> 12", to the foot, 5aelding reduc- tions as follows : 1/128, %6, Ve-i, Ma, ¥32, %4, Vie, V\2, i/s, lA, and I. The 1/2'' to the foot can be used as a %" scale, the inch being then subdivided into twelfths instead of eighths and sixteenths as usual. M'-''(i) V 2 3| i ^ 6 1\ At 10 Jil 12 1|3 r cii (1 a i 1 s * t t. .1 \ 1 ly / 1 1 4:^^ i I I I I I I ! M I I I 1 1 I I ililili [ I Fig. 12. The scale may also be given simply as an abstract fraction, or again as a certain number of inches or frac- tions of an inch to the foot. Thus, the scale \i" = 1" may be called scale i/4, or scale 3" =^ i'. In every case the scale of the drawing should be marked on it. If for some reason or other an unusual scale is taken, a few dimensions should be marked off on a separate line, as exemplified in maps. The student's attention is called to the special manner of figuring small dimensions : the arrow-heads may be turned the other way, as for the dimension 1I/2"; or else the figure may be placed outside altogether, as for ^2" • (See Fig. 11.) The form of the bench is shown in the free-hand perspective sketch. i6 MECHANICAL DRAWING. EXERCISE 5. Construct a complete working drawing from the free- hand perspective sketch of the box shown in Fig. 13. Scale 1" - 1' (1 ft.). Speciai^ Instructions : A rough sketch is very often given to a draughtsman, from which he is required to construct a complete and accurate drawing. In order to accustom the student to such work, he should be required to develop and copy drawings without paying Fig. 13. the slightest attention to faulty outline, wrong propor- tions, or other mistakes in the original before him. He should also practice sketching free-hand and marking dimensions in a clear and unmistakable manner ; for that purpose actual models or pieces of machinery are neces- sar}^, from which the draughtsman first makes a rough dimensioned sketch, and then works out the finished drawing. The student must decide for himself what views are necessary for the complete drawing. CENTER LINES. 17 CENTER LINES. EXERCISE 6.* Front- view and bottom- view of a pin, shown in Figs. 14 and 15. Full size. Special Instructions : The center of the circle is to be marked bj^ the intersection of two lines, called center-lines. One of these is drawn through the two Fig. 14. Fig. 15. views, and shows that they belong together : the other is at right angles to the former and marks the center of the circle. In order to distins^uish them from the other lines of * Xote: Exercises 6 and 7 are designed to be drawn on the same sheet. 15 • MECHANICAL DRAWING. the drawing, they are composed of alternate long and short dashes, and are usually extended indefinitely beyond the outlines of the views, and in no case terminate on the outline or at any particular points. The center-line is drawn in every case as an axis of symmetry, and dimen- sions are laid off from it in both directions . These distances are best marked on the front-view, because there the diam- eters appear as straight lines. CENTER LINES. 19 The small circle shown in the elevation is one view of a hole drilled through the shank of the pin. The center of this hole must also be marked by the intersection of two perpendicular center-lines. The distance of the center Fig. 17. from the end of the pin should likewise be noted on the drawing. The ' ' compass ' ' and the proper position for it are illustrated in Fig. 16. The pen-point should be nearly perpendicular to the paper ; the starting position should 20 MECHANICAL DRAWING. be such that the entire circle can be swept with one con- tinuous stroke by moving the thumb forward and around without shifting the hold on the compass. (Fig. 17.) A circle that has been drawn in several instalments is never as smooth and perfect as one finished with one sweep. The student has probably learned from experience that drawing-pens do not require any pressure to cause the ink to flow from the instrument to the paper. USE OF DIVIDERS. 21 USE OF DIVIDERS. EXERCISE 7. Tliree views of ink-pot shown Fig. 18. Full Size. Mark dimensions ! Speciai. Instructions : The center-line being drawn and the center marked in the plan, draw the circle in Fig. 18. which the regular hexagon is to be inscribed. A pair of " dividers " is the instrument best adapted for " stepping ^2 MECHANICAL DRAWING. off" equal distances. The side of the hexagon is theo- retically equal to the radius of the circle ; but if we appl}' that principle in the present case we may discover an erroi Fig. 19. owing to spring of the dividers, or to inequalities in the board or on the paper. Figs. 19, 20, and 21, show the motion of the points of the dividers in stepping off equal distances along a straight or a curved line . If the distance USE OE DIVIDERS. 23 is too small, we must separate the legs of the dividers by a distance equal to one-sixth of the remainder left over, after stepping six times. If, on the contrary, the side of Fig. 20. the hexagon is too great, it must be decreased by one- sixth of the surplus or distance overstepped. Three suc- cessive trials should, in any case, be sufiQcient to divide the circle into six or any other number of parts. A similar 24 MECHANICAL DRAWING. use of the dividers enables the draughtsman to divide a straight or a curved distance into any number of equal parts. Two viev^^s would have been sufficient in this case : the plan and that view which shows three faces, and not Fig. 21. Lhe one showing only two. The extreme lines of the elevation then represent edges, and not faces ; and the middle face, at least, is drawn in true width, while both faces in the other view appear fore-shortened. The free-hand view gives the necessary dimensions. USE OF BOWPEN. 25 USE OF BOWPEN. EXERCISE 8. Two views of the angle-patch,* 12" long, indicated in the rough sketch, Fig. 22. Scale: 3^" = 1". Exercises 8 and 9 may be drawn on the same plate. Speciai. Instructions : The center of every one of the rivet holes should be marked distinctly by the inter- FiG. 22. section of short lines, perpendicular to each other, and drawn in the main directions, viz.: horizontal and vertical. A smaller compass, called bowpen, may be necessary for inking in small circles. (Fig. 23.) This instrument is certainly more convenient and more accurate for this work than an ordinary compass. The angle is formed by two straight lines tangent to a quadrant of a circle at its ends. It will be found best to • Only part of the patch is shown ; the rest is supposed to be continued In the same manner. 26 MECHANICAL DRAWING. ink the curve first, and then the straight lines, because better tangency will be attained. This rale should be applied in every case where straight lines and curves are to be drawn tangent to each other. The two views taken in this case can hardly be called elevation and plan, or front- and top-view. It is better to place them next to each other, as a front- and a side- elevation, the latter being viewed from the open or con- cave face of the angle. A third view may be considered necessary to show the position, the form, and the spacing of the holes in the other flange of the angle ; yet with the ^g Fig. 23. center-lines and the distances marked, these holes can be accurately located in the two views taken. The radius of the quadrant can be indicated in a way similar to that shown in the sketch (Fig. 22) : an arrow, starting from the center and ending on the circumference, carries the inscription i"R. EXERCISE 9. Two views of the face-wheel. Fig. 24, full size. SpECiai. Instructions : It will be noticed that the small circles, representing in plan the projections from the face of the plate, are arranged around the center of the disk. Instead of a straight center-line, a center- USE OF BOWPEN. 27 circle is drawn, marking the positions of these smaller circles ; the short lines intersecting the center-circle mark the centers, and are drawn pointing to the center of the Fis. 24. plate. The diameter of this center-circle is shown on an inclined line passing through the center, and finished off with arrow-heads at the circumference of the circle ; the figure is marked beyofid the center. 28 MECHANICAL DRAWING. SECTIONS. EXERCISE 10. a. Two views of a cylindrical pipe; scale, 1" = 1". b. Three views of a box and cover; scale, 1"=1". Special Instructions : Fig. 25 gives the two views of the pipe. On consideration, however, it is observed that the information imparted by these views is jf...i..—\— ^ecytlon on Fig. 25. Fig. 2U. not definite. We cannot tell from the drawing whether the inner circle and the dotted lines correspond to a plug filling the hollow, or merely to the hollow itself. In the former case, we might mark that fact by lettering the word, " plug," but in the latter case a more direct, con- ventional way is employed. SECTIONS. 29 If we were to saw the pipe in half, as indicated in Fig. 27 , we notice that we are cutting the material in the walls of the pipe only ; if there were a plug, we should be cut- ting it also. If we now show the circular view with the saw in place, we get the plan represented in Fig. 26. The center-line made up of dashes alternating with two dots (or rather two shorter dashes) is called the plane of sec- tion and shows the manner in which the saw is supposed to cut. We now suppose that the front half is removed and the interior will be displayed as well as the surfaces made b}^ the cutting plane. The dotted lines in Fig. 25 are replaced by lines in full. Fig. 26, and the plane sur- FiG. 27. faces are " sectioned," that is, covered with parallel lines. The lettering " AB " and " Section on AB," is customary though not absolutely necessary. The section-lines are best drawn by sliding the 45° triangle along the T-square, giving an inclination of 45" with the center-lines. The thickness of the section-lines should be somewhat less than that of the outline, while the distance apart should not be less than about %2"- The student is cautioned against careless sectioning, and should rather stop short of the outline, than cross it in a ragged manner. The cylindrical box (b) to be drawn is shown only in 30 MECHANICAL DRAWING. "longitudinal section"* in Fig. 28. The other views required are an outside elevation and the plan. The line C, Fig. 28, represents the upper edge of the hollow in the back-ground. The lines marked C in Figs. 26 and 27 show a similar construction. Notice that the sectioning in the box proper is in a different direction from that in the cover. This is done in order to show that these two pieces are separate. Fig. 38. EXERCISE 11. Fig. 29 represents a parallel perspective view of one-half of a " stuffing-box and gland." The student is to draw a sectional elevation and a plan. Scale : 3 " = 1 ft. Special Instructions : As indicated in the per- spective figure by the change of direction of the section- lines, the object contains four separate pieces. In the sectional view, therefore, a similar method must be em- ployed to distinguish the various pieces from each other. * The distinction between longitudinal section and cross section is apparent. SECTIONS. 31 No two draughtsmen would probably agree as to the direc- tion and spacing of the section-lines. We advise the stu- dent to choose the 45° inclination, whenever possible, and also to keep the same spacing between the lines. Thus in the figure shown, even contiguous pieces are sectioned in a similar manner, and the difference between the parts is shown by breaking the sectioning at the dividing lines, taking care that the section lines are not continuous across the two pieces. In exceptional cases, 30° or 60° inclina- tion may be chosen. The fact that the small pieces are to be made of brass, while the rest of the device is to be cast iron, may be indicated, as in the figure, by means of proper inscriptions. The word " brass " is placed outside of the piece, because the space is too small for a neat inscription ; the name " cast iron " on the other hand, is printed right on the parts as shown, in a space left in the sectioning. 32 MECHANICAL DRAWING. Some draughtsmen advocate special forms of section- ing for different materials, such as, for example, is used by Unwin in his book on Machine Design, illustrated on p. 1 6 of that work : alternate thick and thin lines for wrought iron, alternate full and dashed lines for brass, dashed lines for steel, etc. No uniform and standard method has yet been definitely adopted ; if, therefore, any one desires to use this plan, sample squares, illus- trating the different shading, should be marked on the drawing, with the names of the materials represented. (See Standard Sections, Fig. 89.) EXERCISE 12, a. Cross-section and elevation of Phenix column, Fig. 30; Scab: V4" = l'. b. Sectional front- view, and plan of the two brasses, Fig. 31. (Fig. 32 illustrates the perspective.) Scale : K, SpKCiaIv Instructions : The Phenix column is built up of a number of flanged strips, fastened together by bolts or rivets. For the sake of simplicity, these fastenings are merely suggested in the drawing, as well as the holes through which they pass. The cross-section alone suffices in this case, if properly marked. The vertical view should be drawn by the student, because it presents the problem of correctly placing the vertical lines. L,arge surfaces need not be covered entirely with sec- tion-lines, while small ones may be filled in in black. This is illustrated in the drawings of the bushings, where the narrow black spaces represent sections of the white metal used. Water colors, instead of section-lines, are sometimes used to cover a cut surface with a tint, definite SECTIONS. 33 colors being employed to distinguish the materials. This method is, of course, not applicable if the drawings are to be reproduced photographically, as, for instance, in blue-printing. Attention is called to the line CD in the elevation ; being made up of alternate one long dash and two short dashes, it indicates a plane of section. The view next to Fig. 30. it does not show any section-lines, because no metal i.:> cut by the plane CD, which passes between the two parts or brasses. In the elevation only one brass is sectioned, since the object is symmetrical, and the other half would simply be 34 MECHANICAL DRAWING. a repetition. The lines AOB show that one-half of the right-hand brass is cut away. The front-elevation is thus a combined outside and sectional view. FRONT j EUtVATION, SIDE tV-tVATIOM. Fig. 31. Figs. 30 and 31 are partly shaded to help the student to imagine these objects. The principles involved are explained in the following pages. SHADING. 35 SHADING. EXERCISE 13. Copy the Figs. 33-36. Full size. Sp^ciai, Instructions : Some of the outlines are drawn heavier than the others, so as to give an appear- ance of solidity. The conventional rule prescribes the "shading" of the lower and the right-hand edges of all solid portions, supposed to project from the paper. It follows, therefore, that the outlines of holes and depres- sions are shaded along the upper and the left-hand edges. The draughtsman finds it most convenient to have the light fall on his work from over his left shoulder ; hence the drawing also is supposed to be viewed in the same light. Thus shadows will be formed to the right and below each projecting part. 36 MECHANICAL DRAWING. In Figs. 33 and 35, a section is not necessary because the shading of the plan shows that the openings are not plugged or filled. The lines separating adjoining pieces are not shaded if the surfaces are " flush " or continuous, because then no shadows can be cast by them. There- J' .4.V f J. -f- 2% a g ^ 3' it — z"- H •*—- 2' - "fT Ll ' — 2'— Fig. 34. fore, if the inner square, Fig. 33, or the inner circles. Fig- 35, were not shaded, we should conclude that the holes were filled. The thickness of the shade-lines should be about double that of the light lines.* In shading circles, first draw the entire circle with the pen-compass, obtaining a * The thickness added for the purpose of shading is usually placed to the right and below the unshaded line. SHADING. 37 single thickness all around ; then, without changing the radius, shift the pin-point down and to the right of the real center by a distance equal to the thickness of the line, and draw over the half of the circle to be shaded. The thickest part will then be to the southeast (or north- west in the case of holes) of the center, while the shading will terminate at the northeast and southwest points. It is customary to shade the right-hand edge of the cylinder, although the correctness of this can be disputed; similarly the shading of the entire line representing the base of the cylinder, in the elevation, can be criticised. As with all conventional methods, the draughtsman should be allowed some license, especially if, as in this case, he improves a drawing which, if constructed in accordance with the strict rules of shades and shadows, would appear strange. The fillet-curves or quadrants in Fig. 36 should be considered portions of circles bounding holes ; the left- 38 MECHANICAL DRAWING. hand one will, therefore, remain light, while the one on the other side is partially shaded. Do not forget to draw these curves before drawing the straight lines tangent to them. EXERCISE 14. Eye-bar shown in Fig. 37. Full size. 'Exercise 15 may go on the same plate.) Special Instructions : The shading of the surfaces is sometimes resorted to for the purpose of emphasizing Fio. 38. certain features. This shading should never be done free-hand. The lines are drawn parallel to each other, and to the elements of the surface ; they increase in thick- ness and proximity towards a point corresponding to the southeast portion with respect to the center or axis. The curvature of the fillets is also similarly represented. At the left end, a partial section is taken and the semi- cylindrical hollow is shown shaded, the darkest portion being at the left-hand edge. SHADING. 39 The irregular line representing the fracture is drawn free-hand, with a writing pen, and indicates that the section is only partial, since it is unnecessary to extend the sectioning across the entire bar. EXERCISE 15. Figs. 39 and 40 illustrate two forms of rivets, showing a section of the plates riveted. Draw these figures with the shading as shown. The perspective sketches, Figs. 41 and 42, will help the student to understand the mechanical drawing". Fig. 39. Fig. 40. Special Instructions : Similar effects may be pro- duced in various ways : thus the plan of Fig. 39 may be shaded by means of straight lines, in a manner similar to the shading of the head in the elevation. The lightest portion should always be that turned towards the imagi- nary source of light, above and behind the left shoulder of the observer; i. e., in front of the upper, left-hand corner of the sheet. 40 MECHANICAL DRAWING. In shading the elevation of a cone, Fig. 40, the slant- ing lines are best drawn not convergent to the apex, so as to avoid a blotch near that point. The section is taken through the central axis of the hole, and the uncut rivet is supposed to be placed into position. This is the almost universal practice in repre- FiG. 41. Fig. 13. senting cylindrical pieces fitting into corresponding cavities : the cylindrical piece itself is supposed to remain uncut by the section-plane. Make the drawings twice the size of Figs. 39 and 40. EXERCISE 16. a. Two views of the journal, Fig. 43, shaded; full size. b. Two views of the handle, Fig. 44, shaded ; full size. Special Instructions : The shading that the student is asked to do in this exercise would rarely be applied in practice. Patent-office drawings, and drawings for books, trade-catalogues, and advertisements, however, require a certain skill in mechanical shading that should be acquired by every draughtsman. In the journal. Fig. 43, the curved shading-lines in the fillets run into the straight lines on the cylindrical parts ; from a circular quadrant at the edges, these curves should change into parts of ellipses, gradually increasing SHADING. 41 in eccentricity until they become straight lines on the center line. They may, however, be drawn as arcs of circles with increasing radii, the centers of these arcs being on the perpendicular line through the center of the quadrant at the edge. Fig. 43. Fig. 44 is somewhat difficult to shade, owing to the irregular curved outline. In this case, the shading can be done more effectively if it is first pencilled free-hand ; " sweeps " are then fitted as nearly as possible for inking. These sweeps are made of rubber or box- wood, and can be obtained in an almost endless variety of forms. Fig. 45 shows a number of these sweeps, as illustrated in trade- 42 MECHANICAL DRAWiNG. catalogues. They are used like au ordinary straight- edge to guide the ruling-pen in drawing a curve that can- not be traced with the compass. Attention is called to the free-hand curve representing the broken ends of the shaft, Fig. 43. EXERCISE 17. a. Two views cf the key, Fig. 46, shaded. Full size. b. " " " pin. Fig. 47, " " " c. " " " bracket, Fig. 48. Scale, V2. Shade. d. " " " cylinder-head. Fig. 49, shaded. Scale, Vs. Speciai^ Instructions : The following conventional rules are usually observed : Parallel equi-distant lines of the same thickness indi- cate a flat surface, facing the observer. Straight (Figs. 46 and 48) or circular (Fig. 49) lines may be used, depend- ing on the outline. A surface in the light appears darker the further it is removed from the eye. This is also illustrated in Figs. 46, 48 and 49, where the shading lines are drawn further apart or finer on the nearer surfaces. SHADING. 43 A surface inclined to the light, but still receiving light, is drawn darker as the inclination of the rays M"^: Fig. 47. decreases ; the high light is placed where these rays are perpendicular to the surface. (See shading of cylinders and sphere, Fig. 47.) *n Fig. 48, A surface in the shade, z. e., turned away from the light, is shaded lighter as it recedes from the eye. (See shading of cylinders and sphere in Fig. 47 and others.) 44 MECHANICAL DRAWING. A shadow is rarely shown in a mechanical drawing, as it tends to obscure the details of the work. If used at all, it should be the darkest part of the drawing. Additional streaks of light are sometimes introduced in the shaded parts, to represent reflections from the sur- face, if it is polished. These additional high lights are very effective, especially in the shading of polished disks, as in Fig. 49. Attention is called to the dimension 2 '-4'' marked in Fig. 49 ; as the mechanic uses the two-feet rule, all FO/HsBOLTS 1 iE= V 1 — ~ w 1 ~ 1 '