Spur Gear Strength Calculation With ANSI/AGMA 2001-D04:2005
Based on the fixed-end beam calculation. Includes the majority of effects.
Safety factor of contact fatigue
where:
s ac | allowable contact stress number (material property) |
F t | tangential force acting at teeth |
d w1 | operating pitch diameter of pinion |
b w | operating tooth width |
Safety factor of bending fatigue
where:
s at | allowable bending stress |
P t | tangential diametral pitch |
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 | dynamic factor |
K s | size factor |
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 | reverse loadingfactor |
C f | surface condition factor |
K R | reliability factor |
K T | temperature factor |
K B | rim thickness factor |