Question

A solid shaft has diameter 80 mm. It is subjected to a torque of 4 kN-m. The maximum shear stress induced in the shaft would be

• A. $\frac{75}{\pi }N/m{m}^2$
• B. $\frac{250}{\pi }N/m{m}^2$
• C. $\frac{125}{\pi }N/m{m}^2$
• D. $\frac{150}{\pi }N/m{m}^2$

Answer 1

The correct option is C $\frac{125}{\pi }N/m{m}^2$

$f_{max}=\frac{16T}{\pi d^3}$

$\therefore f_{max}=\frac{16}{\pi \times (80{)}^3}\times 4\times {10}^6$

$=\frac{125}{\pi }N/m{m}^2$