Input:

Number of teeth:	N
Diametral pitch:	DP
Helix angle on pitch diameter:	h
Normal pressure angle on pitch diameter:	An
Dimension over pins(balls):	DO
Ball, pin or wire diameter:	D

Output:

Diameter of pin centers:	CC=DD-D (even); CC=(DO-D)/cos(90/N) (odd)
Transverse pressure angle:	Ad=arctan(tan(An)/cos(h))
Helix angle on base diameter:	H=arctan(tan(h)*cos(An))
Transverse pin diameter:	dD=D/cos(H))
Pitch diameter:	PD=N/(DP*cos(H))
Base diameter:	BD=PD*cos(Ad))
Involute function of Ad(rad):	InAd=tan(Ad)-Ad, Ad[rad]
Pressure angle to pin center Bd:	Bd=acos(B_D/C_C)
Involute function of Bd(rad):	InBd=tan(Bd)-Bd, Bd[rad]
Transverse circular tooth thickness on pitch diameter:	td=PD*(InBd-dD/BD-InAd+pi/N)
Normal curcular tooth thickness on pitch diameter:	DO=CC+D (even); DO=cos(90/N)*CC+D (odd)
Pressure angle to point at tangency:	F=arctan(tan(Bd)-D*cos(H)/BD)
Radius to point of tangency:	RF=BD/2/cos(F)

Reverse calculation.

Metric (DIN).

Internal gear and splines.

ZAKGEAR Calculators.

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