ABSTRACT
Solution for problem (a): The working pressure angle of the gear pair could be obtained according to the equation of engagement with zero backlash when the total modification coefficient is known.
inv x x
inv′ = +
tan ( ) ( )z z+
α (1)
The center distance modifying coefficient is given as follows:
y z z
=
+ −
⎛ ⎝⎜
⎞ ⎠⎟1 22 1
cos cos
α α
(2)
The addendum modifying coefficient is as follows:
Δy x y( )x+1 2 (3)
Solution for problem (b): Center could be calculated when center distance is known.
