Gears | Center Distance

The center distance is defined as the smallest distance between the axes running through the centers of pinion and wheel. The symbol a is often used for the center distance. In general, the center distance is calculated from the sum of the working pitch radii:

a = (dw1 + dw2) / 2 .

In the special cases of pairing gears without profile shift (i.e., X-Zero gears) or gears for which the sum of their respective profile shifts equals zero, the working pitch circles are equal to the reference circles (= manufacturing pitch circles). The corresponding reference center distance ad is:

ad = (d1 + d2) / 2 .

The relation between the center distance of a general profile shifted gearing and the reference center distance is:

a = ad cos(αt) / cos(αwt) ,

wherein αt denotes the transverse pressure angle and αwt is the transverse working pressure angle.