Fig. 111. Illustrating DegreesFig. 111. Illustrating DegreesToList
Look atFig. 111. This has a vertical line A, and a horizontal line B. The circle is thus divided into four parts, and where these lines A, B, cross the circle are the cardinal points. Each of the four parts is called a quadrant, and each quadrant has 90 degrees.
Any line, like C, which is halfway between A and B, is 45 degrees. Halfway between A and C,p. 103or between B and C, like the line D, is 221/2degrees.
Memorizing Angles.—It is well to try and remember these lines by fixing the angles in the memory. A good plan is to divide any of the quadrants into thirds, as shown by the points E, F, and then remember that E is 30 degrees from the horizontal line B, and that F is 60 degrees. Or, you might say that F is 30 degrees from the vertical line A, and E 60 degrees from A. Either would be correct.
Fig. 112. Section LiningFig. 112. Section LiningToList
Section Lining.—In representing many parts of a machine, or article, it is necessary to show the parts cut off, which must be illustrated by what is called "section lining." Adjacent parts shouldp. 104have the section lines running at right angles to each other, and always at 45 degrees.
Look at the outside and then the inside views ofFig. 112, and you will see how the contiguous parts have the angles at right angles, and clearly illustrate how every part of the wrench is made. Skill in depicting an article, for the purpose of constructing it from the drawing, will make the actual work on the bench and lathe an easy one.
Fig. 113. Drawing an EllipseFig. 113. Drawing an EllipseToList
Making Ellipses and Irregular Curves.—This is the hardest thing to do with drawing tools. A properly constructed elliptical figure is difficult,p. 105principally, because two different sized curves are required, and the pen runs from one curve into the other. If the two curves meet at the wrong place, you may be sure you will have a distorted ellipse.
Follow the directions given in connection withFig. 113, and it will give you a good idea of merging the two lines.
First. Draw a horizontal line, A, which is in the direction of the major axis of the ellipse—that is, the longest distance across. The narrow part of the ellipse is called the minor axis.
Second. Draw a perpendicular line, B, which we will call the center of the ellipse, where it crosses the line A. This point must not be confounded with thefocus. In a circle the focus is the exact center of the ring, but there is no such thing in an ellipse. Instead, there are two focal points, called thefoci, as you will see presently.
Third. Step off two points or marking places, as we shall term them, equidistant from the line B, and marked C, C. These marks will then represent the diameter of the ellipse across its major axis.
Fourth. We must now get the diameter of the minor axis, along the line B. This distance will depend on the perspective you have of the figure. If you look at a disk at an angle of about 30 degrees it will be half of the distance across the major axis
p. 106
So you may understand this examineFig. 114. The first sketch shows the eye looking directly at the disk 1. In the second sketch the disk is at 30 degrees, and now the lines 2 2, from the eye, indicate that it is just half the width that it was when the lines 3 3 were projected. The marks D D, therefore, indicate the distance across the minor axis inFig. 113.
Fig. 114. Perspection in AnglesFig. 114. Perspection in AnglesToList
Fifth. We must now find the focal points of the ellipse. If the line A on each side of the cross line B is divided into four parts, the outer marks E may be used for the foci, and will be the places where the point of the compass, or bow pen, is to be placed.
Sixth. Describe a circle F, so it passes through the mark C, and move the point of the compass to the center of the ellipse, at the star, and describe a circle line G, from the mark C to the line B. This will give a centering point H. Then draw a line I from H to E, and extend it through the circle F.
Seventh. If the point of the compass is now putp. 107at H, and the pencil or pen on the circle line F, the curve J can be drawn, so the latter curve and the curve F will thus merge perfectly at the line I.
The Focal Points.—The focal points can be selected at any arbitrary point, between C and the line B, and the point H may be moved closer to or farther away from the line A, and you will succeed in making the ellipse correct, if you observe one thing, namely: The line I, which must always run from H to E, and intersects the circle F, is the starting or the ending point for the small curve F or the large circle J.
Figs. 115-117. Perspectives of CubesFigs. 115-117. Perspectives of CubesToList
Isometric and Perspective.—A figure may be drawn so as to show an isometric or a perspective view. Thus, a cube can be drawn so as to make an isometric figure, as inFig. 115, where the three sides are equal to each other.
Isometric means a method of drawing any object in such a manner that the height, length andp. 108breadth may be shown in the proportion they really bear to each other.Fig. 115has the sides not only equal to each other, in appearance to the eye, but they have the same outlines and angles.
Contrast this figure withFigs. 116and117. InFig. 116two of the sides are equal in angles and outline; and inFig. 117each side has a different outline, and different angles. Nevertheless, all the cubes are, in reality, of the same dimension.
The Protractor.—This is a most useful tool for the draughtsman. It enables the user to readily find any angle.Fig. 118shows an approved form of the tool for this purpose.
Fig. 118. Protractor. Section Lining MetalsFig. 118.Protractor.Section Lining MetalsToList
Suggestions in Drawing.—As in the use of allp. 109other tools, so with the drawing instrument, it must be kept in proper order. If the points are too fine they will cut the paper; if too blunt the lines will be ragged. In whetting the points hold the pen at an angle of 12 degrees. Don't make too long an angle or slope, and every time you sharpen hold it at the same angle, so that it is ground back, and not at the point only.
Fig. 119. Using the Protractor.Fig. 119.UsingtheProtractor.ToList
Holding the Pen.—The drawing pen should be held as nearly vertical as possible. Use the cleaning rag frequently. If the ink does not flow freely, after you have made a few strokes, as is frequently the case, gently press together the points. The least grit between the tines will cause an irregular flow
p. 110
Inks.—As prepared liquid inks are now universally used, a few suggestions might be well concerning them. After half the bottle has been used, add a half teaspoonful of water, shake it well, and then strain it through a fine cotton cloth. This will remove all grit and lint that is sure to get into the bottle however carefully it may be corked.
Fig. 120. Section Lining MetalsFig. 120. Section Lining MetalsToList
Tracing Cloth.—It is preferable to use the dull side of the tracing cloth for the reasons that, as the cloth is rolled with the glossy side inside, the figure when drawn on the other side will be uppermost, and will thus lie flat; and on the other hand, the ink will take better on the dull side.
If the ink does not flow freely, use chalk, fine pumice stone, or talc, and rub it in well with a clean cloth, and then wipe off well before beginning to trace
p. 111
Detail Paper.—The detail paper, on which the drawing is first made in pencil, should show the figure accurately, particularly the points where the bow pen are to be used, as well as the measurement points for the straight lines.
How to Proceed.—Make the circles, curves, and irregular lines first, and then follow with the straight lines. Where the point of the circle pen must be used for a large number of lines, as, for instance, in shading, the smallest circles should be made first, and the largest circles last, because at every turn the centering hole becomes larger, and there is liability to make the circles more or less irregular. Such irregularity will not be so noticeable in the large curves as in the smaller ones.
Indicating Material by the Section Lines.—In section lining different materials can be indicated by the character of the lines, shown inFig. 120.
p. 112
Annealing.—A very important part of the novice's education is a knowledge pertaining to the annealing of metals. Unlike the artisan in wood, who works the materials as he finds them, the machinist can, and, in fact, with many of the substances, must prepare them so they can be handled or cut by the tools.
Annealing is one of the steps necessary with all cutting tools, and it is an absolute requirement with many metals for ordinary use, as well as for many other articles like glass. This is particularly true in the use of copper.
Toughness and Elasticity.—It means the putting of metals in such a condition that they will not only be less brittle, but also tougher and more elastic. Many substances, like glass, must be annealed before they can be put in condition for use, as this material when first turned out is so brittle that the slightest touch will shatter it, so that it must be toughened.
Malleable or wrought iron, if subjected to pressure, becomes brittle, and it is necessary to anneal it. Otherwise, if used, for instance, for boilerp. 113plates, from the rolled sheets, it would stand but little pressure.
The most immediate use the boy will have is the treatment of steel. He must learn the necessity of this process, and that of tempering, in all his cutting tools, and in the making of machinery where some parts are required to be constructed of very hard metal.
The Process.—To anneal steel it must be heated to a bright cherry red and then gradually cooled down. For this purpose a bed of fine charcoal, or iron filings and lime, is prepared, in which the article is embedded, and permitted to remain until it is cold.
There are many ways of doing the work, particularly in the use of substances which will the most readily give up their carbon to the tool. Yellow prussiate of potash is an excellent medium, and this is sprinkled over the cherry-heated article to be annealed. The process may be repeated several times.
Tempering.—This is the reverse of annealing as understood in the art. The word itself does not mean to "harden," but to put into some intermediate state. For instance, "tempered clay" means a clay which has been softened so it can be readily worked.
On the other hand, a tempered steel tool is put into a condition where it is hardened, but this hardp. 114ness is also accompanied by another quality, namely,toughness. For this reason, the wordtemper, and nothardness, is referred to. A lathe tool, if merely hardened, would be useless for that purpose.
Tempering Contrasted with Annealing.—It will be observed that in annealing three things are necessary: First, heating to a certain temperature; second, cooling slowly; third, the particular manner of cooling it.
In tempering, on the other hand, three things are also necessary:
First: The heating temperature should be a dull red, which is less than the annealing heat.
Second: Instead of cooling slowly the article tempered is dipped into a liquid which suddenly chills it.
Third: The materials used vary, but if the article is plunged into an unguent made of mercury and bacon fat, it will impart a high degree of toughness and elasticity.
Materials Used.—Various oils, fats and rosins are also used, and some acids in water are also valuable for this purpose. Care should be taken to have sufficient amount of liquid in the bath so as not to evaporate it or heat it up too much when it receives the heated body.
Different parts of certain articles require varying degrees of hardness, like the tangs of files. Thep. 115cutting body of the file must be extremely hard, and rather brittle than tough. If the tang should be of the same hardness it would readily break.
Gradual Tempering.—To prevent this, some substance like soap suds may be used to cool down the tang, so that toughness without hardness is imparted.
The tempering, or hardening, like the annealing process, may be repeated several times in succession, and at each successive heating the article is put at a higher temperature.
If any part of a body, as, for instance, a hammerhead, should require hardening, it may be plunged into the liquid for a short distance only, and this will harden the pole or peon while leaving the other part of the head soft, or annealed.
Glycerine is a good tempering substance, and to this may be added a small amount of sulphate of potash.
Fluxing.—The wordfluxmeans to fuse or to melt, or to put into a liquid state. The office of a flux is to facilitate the fusion of metals. But fluxes do two things. They not only aid the conversion of the metal into a fluid state, but also serve as a means for facilitating the unity of several metals which make up the alloy, and aid in uniting the parts of metals to be joined in the welding of parts
p. 116
Uniting Metals.—Metals are united in three ways, where heat is used:
First: By heating two or more of them to such a high temperature that they melt and form a compound, or an alloy, as it is called.
Second: By heating up the points to be joined, and then lapping the pieces and hammering the parts. This is called forge work or welding.
Third: By not heating the adjacent parts and using an easily fusible metal, which is heated up and run between the two, by means of a soldering iron.
The foreign material used in the first is called a flux; in the second it is termed a welding compound; and in the third it is known as a soldering acid, or soldering fluid.
The boy is not so much interested in the first process, from the standpoint of actual work, but it is necessary that he should have some understanding of it.
It may be said, as to fluxes, generally, that they are intended to promote the fusion of the liquefying metals, and the elements used are the alkalis, such as borax, tartar, limestone, or fluor spar.
These substances act as reducing or oxidizing agents. The most important are carbonate of soda, potash, and cyanide of potassium. Limestone is used as the flux in iron-smelting
p. 117
Welding Compounds.—Elsewhere formulas are given of the compounds most desirable to use. It is obvious that the application of these substances on the heated surfaces, is not only to facilitate the heating, but to prepare the articles in such a manner that they will more readily adhere to each other.
Oxidation.—Oxidation is the thing to guard against in welding. The moment a piece of metal, heated to whiteness, is exposed, the air coats it with a film which is called anoxide. To remove this the welding compound is applied.
The next office of the substance thus applied, is to serve as a medium for keeping the welding parts in a liquid condition as long as possible, and thus facilitate the unity of the joined elements.
When the hammer beats the heated metals an additional increment of heat is imparted to the weld, due to the forcing together of the molecules of the iron, so that these two agencies, namely, the compound and the mechanical friction, act together to unite the particles of the metal.
Soldering.—Here another principle is involved, namely, the use of an intermediate material between two parts which are to be united. The surfaces to be brought together must be thoroughly cleaned, using such agents as will prevent the formation of oxides.
The parts to be united may be of the same, or ofp. 118different materials, and it is in this particular that the workman must be able to make a choice of the solder most available, and whether hard or soft.
Soft Solder.—A soft solder is usually employed where lead, tin, or alloys of lead, tin and bismuth are to be soldered. These solders are all fusible at a low temperature, and they do not, as a result, have great strength.
Bismuth is a metal which lowers the fusing point of any alloy of which it forms a part, while lead makes the solder less fusible.
Hard Solder.—These are so distinguished because they require a temperature above the low red to fuse them. The metals which are alloyed for this purpose are copper, silver, brass, zinc and tin. Various alloys are thus made which require a high temperature to flux properly, and these are the ones to use in joining steel to steel, the parts to be united requiring an intense furnace heat.
Spelter.—The alloy used for this purpose is termed "spelter," and brass, zinc and tin are its usual components. The hard solders are used for uniting brass, bronze, copper, and iron.
Whether soft or hard solder is used, it is obvious that it must melt at a lower temperature than the parts which are to be joined together.
There is one peculiarity with respect to alloys:p. 119They melt at a lower temperature than either of the metals forming the alloys.
Soldering Acid.—Before beginning the work of soldering, the parts must be cleaned by filing or sandpapering, and coated with an acid which neutralizes the oxygen of the air.
This is usually muriatic acid, of which use, say, one quart and into this drop small pieces of zinc. This will effervesce during the time the acid is dissolving the zinc. When the boiling motion ceases, the liquid may be strained, or the dark pieces removed.
The next step is to dissolve two ounces of sal ammoniac in a third of a pint of water, and in another vessel dissolve an ounce of chloride of tin.
Then mix the three solutions, and this can be placed in a bottle, or earthen jar or vessel, and it will keep indefinitely.
The Soldering Iron.—A large iron is always better than a small one, particularly for the reason that it will retain its heat better. This should always be kept tinned, which can be done by heating and plunging it into the soldering solution, and the solder will then adhere to the iron and cover the point, so that when the actual soldering takes place the solder will not creep away from the tool.
By a little care and attention to these details, the work of uniting metals will be a pleasure. It is sop. 120often the case, however, that the apparatus for doing this work is neglected in a shop; the acid is allowed to become dirty and full or foreign matter, and the different parts separated
p. 121
The technical name for gears, the manner of measuring them, their pitch and like terms, are most confusing to the novice. As an aid to the understanding on this subject, the wheels are illustrated, showing the application of these terms.
Spur and Pinion.—When a gear is ordered a specification is necessary. The manufacturer will know what you mean if you use the proper terms, and you should learn the distinctions between spur and pinion, and why a bevel differs from a miter gear.
If the gears on two parallel shafts mesh with each other, they both may be of the same diameter, or one may be larger than the other. In the latter case, the small one is the pinion, and the larger one the spur wheel.
Some manufacturers use the word "gear" for "pinion," so that, in ordering, they call themgearandpinion, in speaking of the large and small wheels.
Measuring a Gear.—The first thing to specify would be the diameter. Now a spur gear, as well as a pinion, has three diameters; one measurep. 122across the outer extremities of the teeth; one measure across the wheel from the base of the teeth; and the distance across the wheel at a point midway between the base and end of the teeth.
These three measurements are called, respectively, "outside diameter," "inside diameter," and "pitch diameter." When the worddiameteris used, as applied to a gear wheel, it is always understood to mean the "pitch diameter."
Fig. 121. Spur GearsFig. 121. Spur GearsToList
Pitch.—This term is the most difficult to understand. When two gears of equal size mesh together, the pitch line, or thepitch circle, as it isp. 123also called, is exactly midway between the centers of the two wheels.
Fig. 122. Miter Gear PitchFig. 122. Miter Gear PitchToList
Now the number of teeth in a gear is calculated on the pitch line, and this is called:
Diametral Pitch.—To illustrate: If a gear has 40 teeth, and the pitch diameter of the wheel is 4 inches, there are 10 teeth to each inch of the pitch diameter, and the gear is then 10diametral pitch.
Circular Pitch.—Now the term "circular pitch" grows out of the necessity of getting the measurement of the distance from the center of one toothp. 124to the center of the next, and it is measured along the pitch line.
Supposing you wanted to know the number of teeth in a gear where the pitch diameter and the diametral pitch are given. You would proceed as follows: Let the diameter of the pitch circle be 10 inches, and the diameter of the diametral pitch be 4 inches. Multiplying these together the product is 40, thus giving the number of teeth.
Fig. 123. Bevel Gears.Fig. 123.BevelGears.ToList
It will thus be seen that if you have an idea of the diametral pitch and circular pitch, you can pretty fairly judge of the size that the teeth will be, and thus enable you to determine about what kind of teeth you should order
p. 125
How to Order a Gear.—In proceeding to order, therefore, you may give the pitch, or the diameter of the pitch circle, in which latter case the manufacturer of the gear will understand how to determine the number of the teeth. In case the intermeshing gears are of different diameters, state the number of teeth in the gear and also in the pinion, or indicate what the relative speed shall be.
Fig. 124. Miter Gears.Fig. 124.MiterGears.ToList
This should be followed by the diameter of the hole in the gear and also in the pinion; the backing of both gear and pinion; the width of the face; the diameter of the gear hub; diameter of the pinion hub; and, finally, whether the gears are to be fastened to the shafts by key-ways or set-screws.
Fig. 122shows a sample pair of miter gears,p. 126with the measurements to indicate how to make the drawings.Fig. 123shows the bevel gears.
Bevel and Miter Gears.—When two intermeshing gears are on shafts which are at right angles to each other, they may be equal diametrically, or of different sizes. If both are of the same diameter, they are called bevel gears; if of different diameters, miter gears.
Fig. 125. Sprocket Wheel.Fig. 125.SprocketWheel.ToList
It is, in ordering gears of this character, that the novice finds it most difficult to know just what to do. In this case it is necessary to get the proper relation of speed between the two gears, and, for convenience, we shall, in the drawing, make the gears in the relation of 2 to 1.
Drawing Gears.—Draw two lines at right angles,p. 127Fig. 124, as 1 and 2, marking off the sizes of the two wheels at the points 3, 4. Then draw a vertical line (A) midway between the marks of the line 2, and this will be the center of the main pinion.
Also draw a horizontal line (B) midway between the marks on the vertical line (1), and this will represent the center of the small gear. These two cross lines (A, B) constitute the intersecting axes of the two wheels, and a line (5), drawn from the mark (3 to 4), and another line (6), from the axes to the intersecting points of the lines (1, 2), will give the pitch line angles of the two wheels.
Sprocket Wheels.—For sprocket wheels the pitch line passes centrally through the rollers (A) of the chain, as shown inFig. 125, and the pitch of the chain is that distance between the centers of two adjacent rollers. In this case the cut of the teeth is determined by the chain
p. 128
The Lever.—The lever is the most wonderful mechanical element in the world. The expression,lever, is not employed in the sense of a stick or a bar which is used against a fulcrum to lift or push something with, but as the type of numerous devices which employ the same principle.
Some of these devices are, the wedge, the screw, the pulley and the inclined plane. In some form or other, one or more of these are used in every piece of mechanism in the world.
Because the lever enables the user to raise or move an object hundreds of times heavier than is possible without it, has led thousands of people to misunderstand its meaning, because it has the appearance, to the ignorant, of being able to manufacture power.
Wrong Inferences from Use of Lever.—This lack of knowledge of first principles, has bred and is now breeding, so-called perpetual motion inventors (?) all over the civilized world. It is surprising how many men, to say nothing of boys, actually believe that power can be made without the expenditure of something which equalizes it
p. 129
The boy should not be led astray in this particular, and I shall try to make the matter plain by using the simple lever to illustrate the fact that whenever power is exerted some form of energy is expended.
InFig. 126is a lever (A), resting on a fulcrum (B), the fulcrum being so placed that the lever is four times longer on one side than on the other. A weight (C) of 4 pounds is placed on the short end, and a 1-pound weight (D), called thepower, on the short end. It will thus be seen that the lever is balanced by the two weights, or that theweightand thepowerare equal.
Fig. 126. Simple LeverFig. 126. Simple LeverToList
The Lever Principle.—Now, without stopping to inquire, the boy will say: "Certainly, I can understand that. As the lever is four times longer on one side of the fulcrum than on the other side, it requires only one-fourth of the weight to balance the four pounds. But suppose I push down the lever, at the point where the weight (D) is,p. 130then, for every pound I push down I can raise four pounds at C. In that case do I not produce four times the power?"
I answer, yes. But while I produce that power I am losing something which is equal to the power gained. What is that?
Fig. 127. Lever ActionFig. 127. Lever ActionToList
First: Look atFig. 127; the distance traveled. The long end of the lever is at its highest point, which is A; and the short end of the lever is at its lowest point C. When the long end of the lever is pushed down, so it is at B, it moves four times farther than the short end moves upwardly, as the distance from C to D is just one-fourth that from A to B. The energy expended in moving four times the distance balances the power gained.
Power vs. Distance Traveled.—From this the following law is deduced: That whatever is gained in power is lost in the distance traveled
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Second: Using the same figure, supposing it was necessary to raise the short end of the lever, from C to D, in one second of time. In that case the hand pressing down the long end of the lever, would go from A to B in one second of time; or it would go four times as far as the short end, in the same time.
Power vs. Loss in Time.—This means another law: That what is gained in power is lost in time.
Distinguish clearly between these two motions. In the first case the long end of the lever is moved down from A to B in four seconds, and it had to travel four times the distance that the short end moves in going from C to D.
In the second case the long end is moved down, from A to B, in one second of time, and it had to go that distance in one-fourth of the time, so that four times as much energy was expended in the same time to raise the short end from C to D.
Wrongly Directed Energy.—More men have gone astray on the simple question of the power of the lever than on any other subject in mechanics. The writer has known instances where men knew the principles involved in the lever, who would still insist on trying to work out mechanical devices in which pulleys and gearing were involved, without seeming to understand that thosep. 132mechanical devices are absolutely the same in principle.
This will be made plain by a few illustrations. InFig. 128, A is a pulley four times larger, diametrically, than B, and C is the pivot on which they turn. The pulleys are, of course, secured to each other. In this case we have the two weights, one of four pounds on the belt, which is on the small pulley (B), and a one-pound weight on the belt from the large pulley (A).
Fig. 128. The PulleyFig. 128. The PulleyToList
The Lever and the Pulley.—If we should substitute a lever (D) for the pulleys, the similarity to the lever (Fig. 127) would be apparent at once. The pivot (C) in this case would act the same as the pivot (C) in the lever illustration.
In the same manner, and for like reasons, thep. 133wedge, the screw and the incline plane, are different structural applications of the principles set forth in the lever.
Whenever two gears are connected together, the lever principle is used, whether they are the same in size, diametrically, or not. If they are the same size then no change in power results; but instead, thereof, a change takes place in the direction of the motion.
When one end of the lever (A) goes down, the other end goes up, as shown inFig. 129; and inFig. 130, when the shaft (C) of one wheel turns in one direction, the shaft of the other wheel turns in the opposite direction.
It is plain that a gear, like a lever, may change direction as well as increase or decrease power. It is the thorough knowledge of these facts, and their application, which enables man to make the wonderful machinery we see on every hand.
Sources of Power.—Power is derived from ap. 134variety of sources, but what are called theprime moversare derived from heat, through the various fuels, from water, from the winds and from the tides and waves of the ocean. In the case of water the power depends on the head, or height, of the surface of the water above the discharging orifice.
Water Power.—A column of water an inch square and 28 inches high gives a pressure at the base of one pound; and the pressure at the lower end is equal in all directions. If a tank of water 28 inches high has a single orifice in its bottom 1" x 1" in size, the pressure of water through that opening will be only one pound, and it will be one pound through every other orifice in the bottom of the same size.
Calculating Fuel Energy.—Power from fuels depends upon the expansion of the materials consumed, or upon the fact that heat expands some element, like water, which in turn produces the power. One cubic inch of water, when converted into steam, has a volume equal to one cubic foot, or about 1,700 times increase in bulk.
Advantage is taken of this in steam engine construction. If a cylinder has a piston in it with an area of 100 square inches, and a pipe one inch square supplies steam at 50 pounds pressure, the piston will have 50 pounds pressure on every square inch of its surface, equal to 5,000 pounds