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GEAR TEETH. 379
Example.
A gear has 64 teeth and the whole diameter is 16>£ inches.
What is the diametral pitch ?
Solution :
Diametral pitch = ^ n . = 4.
16J2
Thus, the gear is 4 diametral pitch.
Note. —The term diameter of a gear usually means diame-
ter of pitch circle.
The distance between the centers of two spur gears is ob-
tained by dividing half the sum of their teeth by the diametral
pitch.
Example.
What is the distance between centers of two gears of 48
and 64 teeth and 8 diametral pitch ?
Solution
:
4g _i_
g4
Distance — = 7 inches.
2X8
The circular pitch is obtained by dividing the constant
3.1416 by the diametral pitch.
Example.
What is the circular pitch of a gear of eight diametral
pitch ?
Solution
:
Circular pitch = —’—— = 0.393 inch.
8
The thickness of the tooth on the pitch line is obtained by
dividing the constant 1.5708 by the diametral pitch.
Example.
What is the thickness of the tooth on the pitch line of a
gear of 6 diametral pitch ?
Solution
:
Thickness of tooth = -1—,— = 0.262 inch,
o
The working depth of the tooth is obtained by dividing 2
by the diametral pitch. The clearance at the bottom of the
teeth is T^ of the thickness of the tooth on the pitch line. The
whole depth to cut the gear is obtained by dividing the constant
2.157 by the diametral pitch.
Example.
Find the depth to cut a gear of 8 diametral pitch.
Solution
:
Depth = ^4^ = 0-27 inch.
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