Next, we will determine the minimum outside diameter that will be required for a hollow shaft to transmit 40 kW of power at 900 rpm. The problem specifies that the inside diameter of the hollow shaft should be 80% of its outside diameter.

As shown previously, the torsion stress equation can be manipulated so that the known torque and shear stress are placed on the right-hand side of the equation and the unknown polar moment of inertia J and the shaft outside radius c are on the left.

τ=TcJ   Jc=Tτ