Spur Gear Strength Calculation According to Bach

Based on the fixed-end beam calculation, and anticipates that the total circumferential force can only be carried by one tooth.

Allowable load

F all = π c b m F t

where:

 

c = 0.065 σ Ab

tooth allowable stress in bending [MPa, psi]

 

σ Ab

allowable stress in bending (material property)

 

b

tooth gearing width

 

m

module

 

F t

circumferential force acting on the gearing

Safety factor

S = F all / F t