Fig. 1484

Fig. 1484.

In Fig. 1484 is shown the form of surface plate designed by Sir Joseph Whitworth for plates to be rested upon their feet. The resting points of the plate are small projections shown at a, b, and c. The object of this arrangement of feet is to enable the plate to rest with as nearly as possible an equal degree of weight upon each foot, the three feet accommodating themselves to an uneven surface. It is obvious, however, that more of the weight will fall upon c than upon a or b, because c supports the whole weight at one end, while at the other end a and b divide the weight.

Fig. 1485

Fig. 1485.

Fig. 1485 shows the form of plate designed by Professor Sweet.

Fig. 1486

Fig. 1486.

In Fig. 1486 is shown a pair of angle surface plates resting upon a flat one. The angle plates may be used for a variety of purposes where it is necessary to true a surface standing at a true right angle to another.

The best methods of making surface plates are as follows:—

The edges of the plates should be planed first, care being taken to make them square and flat. The surfaces should then be planed, the plates being secured to the planer by the edges, which will prevent as far as possible the pressure necessary to hold them against the planing tool cut from springing, warping, or bending the plates. Before the finishing cut is taken, the plates or screws holding the surface plate should be slackened back a little so as to hold them as lightly as may be, the finishing cut being a very light one, and under these circumstances the plates may be planed sufficiently true that one will lift the other from the partial vacuum between them.

After the plates are planed, and before any hand work is done on them, they should be heated to a temperature of at least 200° Fahr., so that any local tension in the casting may be as far as possible removed.

Fig. 1487

Fig. 1487.

Surface plates for long and narrow surfaces are themselves formed long and narrow, as shown in Fig. 1487, which represents the straight-edge surface plate made at Cornell University.

Fig. 1488

Fig. 1488.

The Whitworth surfacing straight-edge, or long narrow surface plate, is ribbed as in Fig. 1488, so as to give it increased strength in proportion to its weight, and diminish its deflection from its own weight. The lugs d are simply feet to rest it on.

Straight-edges are sometimes made of cast steel and trued on both edges. These will answer well enough for small work, but if made of a length to exceed about four feet their deflection from their own weight seriously affects their reliability. The author made an experiment upon this point with a very rigid surface plate six feet long, and three cast steel straight-edges 6 feet long, 412 inches wide, and 12 inch thick. Both edges of the straight-edges were trued to the surface plate until the light was excluded from between them, while the bearing surface appeared perfect; thin tissue paper was placed between the straight-edges and the plate, and on being pulled showed an equal degree of tension. The straight-edges were tried one with the other in the same way and interchanged without any apparent error, but on measuring them it was found that each was about 150 inch wider in the middle of its length than at the ends, the cause being the deflection. They were finished by filing them parallel to calipers, using the bearing marks produced by rubbing them together and also upon the plate; but, save by the caliper test, the improvement was not discernible.

In rubbing them together no pressure was used, but they were caused to slide under their own weight only.

A separate and distinct class of gauge is used in practice to copy the form of one piece and transfer it to another, so that the one may conform to or fit the other. To accomplish this end, what are termed male and female templates or gauges are employed. These are usually termed templates, but their application to the work is termed gauging it.

Fig. 1489

Fig. 1489.

Suppose, for example, that a piece is to be fitted to the rounded corner of a piece f, Fig. 1489, and the maker takes a piece of sheet metal a, and cuts it out to the line b c d, leaving a female gauge e, which will fit to the work f. We then make a male gauge g, and apply this to the work, thus gauging the round corner.

Fig. 1490

Fig. 1490.

Fig. 1490 represents small templates applied to a journal bearing, and it is seen that we may make the template as at t, gauging one corner only, or we may make it as at t′, thus gauging the length of the journal as well as the corners.

Fig. 1491

Fig. 1491.

Fig. 1491 represents a female gauge applied to the corner of a bearing or brass for the above journal, it being obvious that the male and female templates when put together will fit as in Fig. 1492.

Fig. 1492

Fig. 1492.

For measuring the diameters of metal wire and the thickness of rolled sheet metal, measuring instruments termed wire gauges and sheet metal measuring machines are employed. A simple wire gauge is usually formed of a piece of steel containing numerous notches, whose widths are equal to the intended thickness to be measured in each respective notch. These notches are marked with figures denoting the gauge-number which is represented by the notch.

For wire, however, a gauge having holes instead of notches is sometimes employed, the wire being measured by insertion in the hole, an operation manifestly impracticable in the case of sheet metal.

Fig. 1493

Fig. 1493.

In Fig. 1493 is shown one of Brown and Sharpe’s notch wire-gauges, the notches being arranged round the edge as shown:

The thickness of a given number of wire-gauge varies according to the system governing the numbering of the gauge, which also varies with the class of metal or wire for which the gauge has been adopted by manufacturers. Thus, in the following table are given the gauge-numbers and their respective sizes in decimal parts of an inch, as determined by Holtzapffel in 1843, and to which sizes the Birmingham wire-gauge is made. The following table gives the numbers and sizes of the Birmingham wire-gauge.

BIRMINGHAM WIRE GAUGE.

Mark. Size. Mark. Size. Mark. Size. Mark. Size.
36 .004 26 .018 16 .065 6 .203
35 .005 25 .020 15 .072 5 .220
34 .007 24 .022 14 .083 4 .238
33 .008 23 .025 13 .095 3 .259
32 .009 22 .028 12 .109 2 .284
31 .010 21 .032 11 .120 1 .300
30 .012 20 .035 10 .134 0 .340
29 .013 19 .042 9 .148 00 .380
28 .014 18 .049 8 .165 000 .425
27 .016 17 .058 7 .180 0000 .454

In this gauge it will be observed that the progressive wire gauge numbers do not progress by a regular increment.

This gauge is sometimes termed the Stubs wire-gauge, Mr. Stubs being a manufacturer of instruments whose notches are spaced according to the Birmingham wire-gauge. Since, however, Mr. Stubs has also a wire-gauge of his own, whose numbers and gauge-sizes do not correspond to those of the Birmingham gauge, the two Stubs gauges are sometimes confounded. The second Stubs gauge is employed for a special drawn steel wire, made by that gentleman to very accurate gauge measurement for purposes in which accuracy is of primary importance.

From the wear of the drawing dies in which wire is drawn, it is impracticable, however, to attain absolute correctness of gauge measurement. The dies are made to correct gauge when new, and when they have become worn larger, to a certain extent, they are renewed. As a result the average wire is slightly larger than the designated gauge-number. To determine the amount of this error the Morse Twist-Drill and Machine Company measured the wire used by them during an extended period of time, the result being given in table No. 2, in which the first column gives the gauge-number, the second column gives the thickness of the gauge-number in decimal parts of an inch, and the third column the actual size of the wire in decimal parts of an inch as measured by the above Company.

DIAMETER OF STUBS’S DRAWN STEEL WIRE IN FRACTIONAL PARTS OF AN INCH.

No. by
Stubs’s
wire-
gauge.
Stubs’s
Dimen-
sions.
Measure-
ment by
Morse Twist-
Drill &
Machine Co.
No. by
Stubs’s
wire-
gauge.
Stubs’s
Dimen-
sions.
Measure-
ment by
Morse Twist-
Drill &
Machine Co.
No. by
Stubs’s
wire-
gauge.
Stubs’s
Dimen-
sions.
Measure-
ment by
Morse Twist-
Drill &
Machine Co.
1 .227 .228 23 .153 .154 45 .081 .082
2 .219 .221 24 .151 .152 46 .079 .080
3 .212 .213 25 .148 .150 47 .077 .079
4 .207 .209 26 .146 .148 48 .075 .076
5 .204 .206 27 .143 .145 49 .072 .073
6 .201 .204 28 .139 .141 50 .069 .070
7 .199 .201 29 .134 .136 51 .066 .067
8 .197 .199 30 .127 .129 52 .063 .064
9 .194 .196 31 .120 .120 53 .058 .060
10 .191 .194 32 .115 .116 54 .055 .054
11 .188 .191 33 .112 .113 55 .050 .052
12 .185 .188 34 .110 .111 56 .045 .047
13 .182 .185 35 .108 .110 57 .042 .044
14 .180 .182 36 .106 .106 58 .041 .042
15 .178 .180 37 .103 .104 59 .040 .041
16 .175 .177 38 .101 .101 60 .039 .040
17 .172 .173 39 .099 .100 61 .038 .039
18 .168 .170 40 .097 .098 62 .037 .038
19 .164 .166 41 .095 .096 63 .036 .037
20 .161 .161 42 .092 .094 64 .035 .036
21 .157 .159 43 .088 .089 65 .033 .035
22 .155 .156 44 .085 .086      

The following table represents the letter sizes of the same wire:—

LETTER SIZES OF WIRE.

A. 0.234 J. 0.277 S. 0.348
B. 0.238 K. 0.281 T. 0.358
C. 0.242 L. 0.290 U. 0.368
D. 0.246 M. 0.295 V. 0.377
E. 0.250 N. 0.302 W. 0.386
F. 0.257 O. 0.316 X. 0.397
G. 0.261 P. 0.323 Y. 0.404
H. 0.266 Q. 0.332 Z. 0.413
I. 0.272 R. 0.339    

By an Order in Council dated August 23rd, 1883, and which took effect on March 1st, 1884, the standard department of the British Board of Trade substituted for the old Birmingham wire-gauge the following:—

Descriptive
number
B. W. G.
No.
Equivalents
in parts
of an inch.
Descriptive
number
B. W. G.
No.
Equivalents
in parts
of an inch.
No. Inch. No. Inch.
7 /0 0.500 23 0.024  
6 /0 .464 24 .022  
5 /0 .432 25 .020  
4 /0 .400 26 .018  
3 /0 .372 27 .016 4
2 /0 .348 28 .014 8
0   .324 29 .013 6
1   .300 30 .012 4
2   .276 31 .011 6
3   .252 32 .010 8
4   .232 33 .010 0
5   .212 34 .009 2
6   .192 35 .008 4
7   .176 36 .007 6
8   .160 37 .006 8
9   .144 38 .006 0
10   .128 39 .005 2
11   .116 40 .004 8
12   .104 41 .004 4
13   .092 42 .004 0
14   .080 43 .003 6
15   .072 44 .003 2
16   .064 45 .002 8
17   .056 46 .002 4
18   .048 47 .002 0
19   .040 48 .001 6
20   .036 49 .001 2
21   .032 50 .001 0
22   .028    
Fig. 1494

Fig. 1494.

The gauge known as the American Standard Wire-Gauge was designed by Messrs. Brown and Sharpe to correct the discrepancies of the old Birmingham wire-gauge by establishing a regular proportion of the thirty-nine successive steps between the 0000 and 36 gauge-number of that gauge. In the American Standard (which is also called the Brown and Sharpe gauge) the value of 0.46 or 46100 has been taken as that for 0000 or the largest dimension of the gauge. Then by successive and uniform decrements, each number following being obtained from multiplying its predecessor by 0.890522 (which is the same thing as deducting 10.9478 per cent.), the final value for number 36 is reached at 0.005, which corresponds with number 35 of the Birmingham wire-gauge. The principle of the gauge is shown in Fig. 1495, which represents a gauge for jewelers, having an angular aperture with the gauge-numbers marked on the edge, the lines and numbers being equidistant.

Fig. 1495

Fig. 1495.

The advantage of this system is that the instrument is easy to produce, the difference between any two gauge-numbers being easily found by calculation; and the gauge is easy to originate, since the opening, being of the proper width at the open end, the sides terminating at the proper distance and being made straight, the intermediate gauge-sizes may be accurately marked by the necessary number of equidistant lines.

Wire, to be measured by such a gauge, is simply inserted into and passed up the aperture until it meets the sides of the same, which gives the advantage that the size of the wire may be obtained, even though its diameter vary from a gauge-number. This could not be done with a gauge in which each gauge-number and size is given in a separate aperture or notch. A comparison between the Brown and Sharpe and the Birmingham wire-gauge is shown in Fig. 1494, in which a piece of wire is inserted, showing that No. 15 by the Birmingham gauge is No. 13 by the Brown and Sharpe gauge.

The gauge-numbers and sizes of the same in decimal parts of an inch, of the American standard or Brown and Sharpe gauge, are given in the table following:—

No. of
Wire-
Gauge.
American or New Standard. No. of
Wire-
Gauge.
American or New Standard.
Size of each
number in
decimal
parts of
an inch.
Difference
between
consecutive
numbers in
decimal parts
of an inch.
Size of each
number in
decimal
parts of
an inch.
Difference
between
consecutive
numbers in
decimal parts
of an inch.
0000 .460 —— 19 .03589 .00441
000 .40964 .05036 20 .03196 .00393
00 .36480 .04484 21 .02846 .00350
0 .32495 .03994 22 .02535 .00311
1 .28930 .03556 23 .02257 .00278
2 .25763 .03167 24 .0201 .00247
3 .22942 .02821 25 .0179 .00220
4 .20431 .02511 26 .01594 .00196
5 .18194 .02237 27 .01419 .00174
6 .16202 .01992 28 .01264 .00155
7 .14428 .01774 29 .01126 .00138
8 .12849 .01579 30 .01002 .00123
9 .11443 .01406 31 .00893 .00110
10 .10189 .01254 32 .00795 .00098
11 .09074 .01105 33 .00708 .00087
12 .08081 .00993 34 .0063 .00078
13 .07196 .00885 35 .00561 .00069
14 .06408 .00788 36 .005 .00061
15 .05707 .00702 37 .00445 .00055
16 .05082 .00625 38 .00396 .00049
17 .04525 .00556 39 .00353 .00043
18 .0403 .00495 40 .00314 .00039

This gauge is now the standard by which rolled sheet brass and seamless brass tubing is made in the United States. It is also sometimes used as a gauge for the copper wire used for electrical purposes, being termed the American Standard; but unless the words “American Standard” are employed, the above wire is supplied by the Birmingham wire-gauge numbers. The brass wire manufacturers have not yet adopted the Brown and Sharpe gauge; hence, for brass wire the Birmingham gauge is the standard.

Gauges having simple notches are not suitable for measuring accurately the thickness of metal, because the edges of the sheets or plates frequently vary from the thickness of the body of the plate. This may occur from the wear of the rolls employed to roll out the sheet, or because the sheets have been sheared to cut them to the required width, or to remove cracks at the edges, which shearing is apt to form a burr or projection on one side of the edge, and a slight depression on the other.

Again, a gauge formed by a notch requires to slide over the metal of the plate, and friction and a wear causing an enlargement of the notch ensues, which destroys the accuracy of the gauge. To avoid this source of error the form of gauge that was shown in Fig. 1370 may be used, it having the further advantage that it will measure thicknesses intermediate between the sizes of two contiguous notches, thus measuring the actual thickness of the sheet when it is not to any accurate sheet metal gauge thickness.

It is to be observed that in the process of rolling, the sheet is reduced from a greater to a lesser thickness, hence the gauge will not pass upon the plate until the latter is reduced to its proper thickness.

In applying the gauge, therefore, there is great inducement for the workman to force the gauge on to the sheet, in order to ascertain how nearly the sheet is to the required size, and this forcing process causes rapid wear to the gauge.

It follows, therefore, that a gauge should in no case be forced on, but should be applied lightly and easily to the sheet to prevent wear. Here may be mentioned another advantage of the Brown and Sharpe gauge, in that its gauge-number measurements being uniform, it may be more readily known to what extent a given plate varies from its required gauge thickness.

Suppose, for example, a sheet requiring to be of Number 1 Birmingham gauge is above the required thickness, but will pass easily through the 0 notch of the gauge, the excessive variation of those two gauge numbers (over the variations between other consecutive numbers of the gauge) leaves a wider margin in estimating how much the thickness is excessive than would be the case in using the Brown and Sharpe gauge. Indeed, if the edge of the plate be of uniform thickness with the body of the plate, the variation from the required thickness may be readily ascertained by a Brown and Sharpe gauge, by the distance the plate will pass up the aperture beyond the line denoting the 0 gauge number, or by the distance it stands from the 1 on the gauge when passed up the aperture until it meets both sides of the same.

In addition to these standard gauges, some firms in the United States employ a standard of their own; the principal of these are given in comparison with others in the table following.

DIMENSIONS OF SIZES, IN DECIMAL PARTS OF AN INCH.

Number
of
Wire
Gauge.
American
or Brown
& Sharpe.
Birming-
ham, or
Stubs’s.
Washburn
& Moen
Mfg. Co.,
Worcester,
Ms.
Trenton
Iron Co.,
Trenton,
N. J.
G. W.
Prentiss,
Holyoke,
Mass.
Old English,
from Brass
Manu-
facturers’
List.
000000 —— —— .46 —— —— ——
00000 —— —— .43 .45 —— ——
0000 .46 .454 .393 .4 —— ——
000 .40964 .425 .362 .36 .3586 ——
00 .3648 .38 .331 .33 .3282 ——
0 .32495 .34 .307 .305 .2994 ——
1 .2893 .3 .283 .285 .2777 ——
2 .25763 .284 .263 .265 .2591 ——
3 .22942 .259 .244 .245 .2401 ——
4 .20431 .238 .225 .225 .223 ——
5 .18194 .22 .207 .205 .2047 ——
6 .16202 .203 .192 .19 .1885 ——
7 .14428 .18 .177 .175 .1758 ——
8 .12849 .165 .162 .16 .1605 ——
9 .11443 .148 .148 .145 .1471 ——
10 .10189 .134 .135 .13 .1351 ——
11 .090742 .12 .12 .1175 .1205 ——
12 .080808 .109 .105 .105 .1065 ——
13 .071961 .095 .092 .0925 .0928 ——
14 .064084 .083 .08 .08 .0816 .083
15 .057068 .072 .072 .07 .0726 .072
16 .05082 .065 .063 .061 .0627 .065
17 .045257 .058 .054 .0525 .0546 .058
18 .040303 .049 .047 .045 .0478 .049
19 .03539 .042 .041 .039 .0411 .04
20 .031961 .035 .035 .034 .0351 .035
21 .028462 .032 .032 .03 .0321 .0315
22 .025347 .028 .028 .027 .029 .0295
23 .022571 .025 .025 .024 .0261 .027
24 .0201 .022 .023 .0215 .0231 .025
2S .0179 .02 .02 .019 .0212 .023
26 .01594 .018 .018 .018 .0194 .0205
27 .014195 .016 .017 .017 .0182 .01875
28 .012641 .014 .016 .016 .017 .0165
29 .011257 .013 .015 .015 .0163 .0155
30 .010025 .012 .014 .014 .0156 .01375
31 .008928 .01 .0135 .013 .0146 .01225
32 .00795 .009 .013 .012 .0136 .01125
33 .00708 .008 .011 .011 .013 .01025
34 .006304 .007 .01 .01 .0118 .0095
35 .005614 .005 .0095 .009 .0109 .009
36 .005 .004 .009 .008 .01 .0075
37 .004453 —— .0085 .00725 .0095 .0065
38 .003965 —— .008 .0065 .009 .00575

In the Whitworth wire-gauge, the mark or number on the gauge simply denotes the number of 11000ths of an inch the wire is in diameter; thus Number 1 on the gauge is 11000 inch, Number 2 is 21000ths inch in diameter, and so on.

Below is given the Washburn and Moen Manufacturing Company’s music wire-gauge.

SIZES OF THE NUMBERS OF STEEL MUSIC
WIRE-GAUGE.

No. of
Gauge.
Size of each No.
in decimal parts
of an inch.
No. of
Gauge.
Size of each No.
in decimal parts
of an inch.
12 .0295 21 .0461
13 .0311 22 .0481
14 .0325 23 .0506
15 .0343 24 .0547
16 .0359 25 .0585
17 .0378 26 .0626
18 .0395 27 .0663
19 .0414 28 .0719
20 .043 —— ——

These sizes are those used by the Washburn and Moen Manufacturing Company, of Worcester, Mass., manufacturers of steel music wire.

In the following table is the French Limoges wire-gauge.

Number
on
gauge.
Diameter,
millimètre.
Inch. Number
on
gauge.
Diameter,
millimètre.
Inch.
0 .39 .0154 13 1.91 .0725
1 .45 .0177 14 2.02 .0795
2 .56 .0221 15 2.14 .0843
3 .67 .0264 16 2.25 .0886
4 .79 .0311 17 2.84 .112
5 .90 .0354 18 3.40 .134
6 1.01 .0398 19 3.95 .156
7 1.12 .0441 20 4.50 .177
8 1.24 .0488 21 5.10 .201
9 1.35 .0532 22 5.65 .222
10 1.46 .0575 23 6.20 .244
11 1.68 .0661 24 6.80 .268
12 1.80 .0706      

The following table gives the Birmingham wire-gauge for rolled sheet silver and gold.

Gauge
number.
Thickness. Gauge
number.
Thickness.
  Inch.   Inch.
1 .004 19 .064
2 .005 20 .067
3 .008 21 .072
4 .010 22 .074
5 .013 23 .077
6 .013 24 .082
7 .015 25 .095
8 .016 26 .103
9 .019 27 .113
10 .024 28 .120
11 .029 29 .124
12 .034 30 .126
13 .036 31 .133
14 .041 32 .143
15 .047 33 .145
16 .051 34 .148
17 .057 35 .158
18 .061 36 .167

The following table gives the gauge thickness of Russia sheet iron,[25] the corresponding numbers by Birmingham wire gauge, and the thicknesses in decimal parts of an inch.