Bevel Gear Strength Calculation According to Merrit

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