Tc 9-524 fundamentals of machine tools

TC 9-524
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FOR METRIC SIZES:
The recommended tap drill size is equal to the out-
side diameter minus the pitch. Metric tap sizes are
designated by a capital M, the outside diameter in
millimeters, and by the pitch in millimeters; such as
M22 x 1.5. To find the recommended tap drill size,
subtract 1.5 from 22, to get 20.5, which is the recom-
mended tap drill size. If a metric or inch is not avail-
able for the recommended tap drill size, the round
up to the nearest available drill.
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APPENDIX B
WEIGHTS AND MEASURES
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BRITISH AND METRIC CONVERSION TABLES
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POWER UNITS
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WEIGHTS OF MATERIALS (continued)
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WEIGHTS OF MATERIALS (Continued)
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APPENDIX C
FORMULAS
SINE BAR OR SINE PLATE SETTING
Sine bars or sine plates usually have a length of 5 inches or 10 inches. These standard lengths are commonly used by the tool
maker or inspector. The sine bar or sine plate is used for accurately setting up work for machining or for inspection. Gage
blocks are usually used for establishing the height.
Rule for determining the height of the sine bar setting for a given angle: multiply the sine of the angle by the
length of the sine bar. The sine of the angle is taken from the tables of trigonometric functions.
Problem: What would be the height to set a sine bar for establishing an angle of 230 41‘? Solution: The sine of 23’41‘ is
0.40168. Multiply this by 5 because a 5-inch sine bar is used; 5 x 0.40168 = 2.0084, which is the height to set the sine bar.
TO FIND
Taper per inch
Taper per foot
Taper per foot
Diameter at small
end in inches
Diameter at large
end in inches
Distance between two given
diameters in inches
Amount of taper in a certain
length given in inches
RULES FOR FIGURING TAPERS
GIVEN
Taper per foot
Taper per inch
End diameters and length of
taper in inches
Large diametre, length of taper
in inches, and taper foot
Small diameter, length of taper
in inches, and taper per foot
Taper per foot and two
diameters in inches
Taper per foot
RULE
Divide the taper per foot by 12.
Multiply the taper per inch by 12.
Subtract small diameter from large,
divided by length of taper, and
multiply quotient by 12.
Divide taper per foot by 12, multiply
by length of taper, and subtract from
large diameter.
Divide taper per foot by 12, multiply
by length of taper, and add results to
small diameter.
Subtract small diameter from large,
divide remainder by taper per foot and
multiply quotient by 12.
Divide taper per foot by 12 and
multiply by given length of tappered
part
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To find the circumference of a circle
To find the diameter of a circle 0.31831 x C or C/
To find the area of a circle
To find size of round stock needed to machine a hexagon, D = 1.1547 x distance across the flats
To find size of round stock needed to machine a square, D = 1.4142 x distance across the flats
To find the area of a square, square one side
To find the area of a rectangle, multiply length times width
To find the volume of a cube, multiply length times width times depth
To find the volume of a square prism, multiply length times width times depth
To find the volume of a cylinder, multiply
times radius squared times height
To find the area of a triangle, multiply base times height divided by 2
To find the area of a ring, subtract the area of inside diameter from the area of the outside diameter.
xD or D/0.3183.
r2.