Based on the fixed end beam calculation. Anticipates that the total circumferential force can only be carried by one tooth. Adds an extra contact check.
Allowable load
F all = π c min b w ζ m en μ≥ F t
where:
| c min = min (c b , c c ) | minimum tooth allowable stress | |
| b w | operating facewidth | |
| m en | normal module at end (normal diametral pitch at end inverse value) | |
| μ | factor of dependence on the precision degree (material property) | |
| F t | circumferential force acting on the teeth | |
| 
 | width factor | |
| where: | ||
| K = 1.4 for straight teeth, 1.25 for helical teeth | 
Safety factor
S = F all / F t
Bending factor
 
where:
| σ Ab | allowable stress in bending (material property) | |
| r b | speed bending factor (table value) | |
| y b | shape bending factor (table value) | 
Contact factor
 
where:
| σ Ac | allowable stress in contact (material property) | |
| r c | speed pressure factor (material property) | |
| y c | shape pressure factor (material property) | |
| 
 | size factor |