Bevel Gear Strength Calculation According to Bach

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

Allowable load

F all = π c b m en ζ m en 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 en

normal module at end (normal diametral pitch at end inverse value)

 

width factor

 

where:

 
   

K = 1.4 for straight teeth, 1.25 for helical teeth

 

F t

circumferential force acting on the gearing

Safety factor

S = F all / F t