Based on the fixed-end beam calculation. Includes the majority of effects.
Safety factor of contact fatigue
 
where:
| s ac | allowable contact stress (material property) | 
| F t | tangential force acting at teeth | 
| d m1 | pitch diameter in middle plane | 
| b w | operating tooth width | 
Safety factor of bending fatigue
 
where:
| s at | allowable bending stress | 
| P mt | tangential diametral pitch in middle plane | 
| b wF1,2 = min (b 1,2 , b w + 2m) | operating tooth width | 
Factor Calculations
 
where:
| μ | Poisson's ratio (material property) | 
| E | modulus of elasticity (material property) | 
| I | geometry factor for pitting resistance | 
| Z N | stress cycle factor for pitting resistance | 
| C H | hardness ratio factor | 
| K o | overload factor | 
| K v | size factor | 
| K s | stress cycle factor for pitting resistance | 
| K m | load distribution factor | 
| K m = 1 + C mc (C pf C pm + C ma C e ) | |
| C mc - Lead Correction Factor | |
| C pf - Pinion proportion factor | |
| C ma - Mesh Alignment Factor | |
| C e - Mesh Alignment Correction Factor | |
| J | geometry factor for bending strength | 
| Y N | stress cycle factor for bending strength | 
| Y a | alternating factor | 
| C f | surface condition factor | 
| K R | reliability factor | 
| K T | temperature factor | 
| K B | rim thickness factor |