Spur Gear Strength Calculation With Legacy ANSI

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

Safety factor of contact fatigue

where:

 

S fe

contact fatigue limit (material property)

 

F t

tangential force acting at teeth

 

b w

operating tooth width

 

d 1

pitch diameter of pinion

Safety factor of bending fatigue

where:

 

S n

bending fatigue limit (material property)

 

P

diametral pitch (module inverse value)
 

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

tooth width for bending

Factor calculations

where:

μ

Poisson's ratio (material property)

E

modulus of elasticity (material property)

m

module

l

geometry factor

 

C Li

life factor

C R

reliability factor

K v

dynamic factor

K o

overload factor

K m

mounting factor

J

geometry factor

C G

gradient factor

 

C G = 1 for P > 5

 

C G = 0.85 for P 5

C S

surface factor

k r

reliability factor

k t

temperature factor

k ms

mean stress factor