Spur 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.

Allowable load

F all = π c min b w m μ F t

where:

 

c min = min (c b , c c )

minimum tooth allowable stress

 

b w

operating tooth bearing width

 

m

module

  μ

factor of dependence on the precision degree (table value)

 

F t

circumferential force acting on the 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 (table value)

 

y c

shape pressure factor (table value)

 

size factor