Question

A circular shaft is subjected to a twisting moment T and bending moment M. The ratio of maximum bending stress to maximum shear stress is given by

• A. $\frac{2M}{T}$
• B. $\frac{M}{T}$
• C. $\frac{2T}{M}$
• D. $\frac{M}{2T}$

Answer 1

The correct option is A $\frac{2M}{T}$

$Maximumbendingstress,{\sigma }_b=\frac{32M}{\pi d^3}$

$Maximumshearstress,\tau =\frac{16T}{\pi d^3}$

$\frac{{\sigma }_d}{\tau }=$$\frac{2M}{T}$