Spur Gear Strength Calculation With ANSI/AGMA 2001-D04:2005

Based on the fixed-end beam calculation. Includes the majority of effects.

Safety factor of contact fatigue

where:

s ac

allowable contact stress number (material property)

F t

tangential force acting at teeth

d w1

operating pitch diameter of pinion

b w

operating tooth width

Safety factor of bending fatigue

where:

s at

allowable bending stress

P t

tangential diametral pitch

b wF1,2 = min (b 1,2 , b w + 2m)

operating tooth width

Factor Calculations

where:

μ

Poisson's ratio (material property)

E

modulus of elasticity (material property)

I

geometry factor for pitting resistance

Z N

stress cycle factor for pitting resistance

C H

hardness ratio factor

K o

overload factor

K v

dynamic factor

K s

size factor

K m

load distribution factor

 

K m = 1 + C mc (C pf C pm + C ma C e )

 

C mc - Lead Correction Factor

 

C pf - Pinion proportion factor

 

C ma - Mesh Alignment Factor

 

C e - Mesh Alignment Correction Factor

J

geometry factor for bending strength

Y N

stress cycle factor for bending strength

Y a

reverse loadingfactor

C f

surface condition factor

K R

reliability factor

K T

temperature factor

K B

rim thickness factor