To Get

Having

Rule

Formula

Module

Circular pitch

Divide the circular by .12368

m=P/.12368

Circular pitch

Diametral pitch

divide π by the diametral pitch

P=π/Pd

Module

Multiply the modules by .12368

P-m*.12368

Pitch diameter and number of teeth

Divide pitch diameter by the product of .3183 and number of teeth

P=D/0.3183 N

Outside diameter and number of teeth

Divide outside diameter by the product of .3183 and number of teeth plus 2

P=D/0.3183 (N+2)

Pitch diameter

Number of teeth and circular pitch

The continued product of the number of teeth, the circular pitch and .3183

D=NO.3183p

Outside diameter and circular pitch

Subtract from the outside diameter the product of the circular pitch and .6366

D=D-(0.6366p)

Outside diameter

Number of teeth and circular pitch

Divide number of teeth plus 2 by π divided by circular pitch

Dₒ=(N+2)+π/p

Pitch diameter and circular pitch

Add to the pitch diameter the product of the circular pitch and .6336

Dₒ=D+0.6336p

Number of teeth

Pitch diameter and circular pitch

Divide the product of pitch diameter and π by the circular pitch

N=π•D/p

Circular tooth thickness

Circular pitch

One-half the circular pitch

t=p/2

Std. addendum

Circular pitch

Multiply the circular pitch by .3183

a=0.3183•p

Std. dedendum

Circular pitch

Multiply the circular pitch by .3683

b=.3683•p

whole depth

(2.157/DP)

Circular pitch

Multiply circular pitch by .6366

h₁=0.6366p