steel shaft

[logistic_guy]

A hollow steel shaft of outer radius \(\displaystyle c = 35 \ \text{mm}\) is fixed at one end and subjected to a torque \(\displaystyle T = 3 \ \text{kN} \cdot \text{m}\) at the other end. Calculate the required inner radius \(\displaystyle b\), knowing that the average shearing stress is limited to \(\displaystyle 100 \ \text{MPa}.\)

 

[logistic_guy]

This problem can be solved by the torsion formula.

\(\displaystyle \tau_{\text{max}} = \frac{Tr}{J}\)

where we will treat the average shear stress as the allowable maximum shear stress.