The diagram shows a torque exerted on a solid shaft attached to a wall.

The elastic torsion formula has been manipulated into the form:

π16D3=Tτ

This equation can be solved for the minimum permissible outside diameter D:

π16D3=5 kN-m65 MPa=(5 kN-m)(1,000 N/kN)(1,000 mm/m)65 N/mm2         =76,923.077 mm3

Dmin=73.2 mm