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