Question

A solid circular rod AB of diameter D and length L is fixed at both ends.A torque T is applied at a section x such that AX=$\frac{L}{4}andBX=\frac{3L}{4}$What is the maximum shear stress developed in $\frac{L}{4}andBX=\frac{3L}{4}$ the rod?

• A. $\frac{16T}{\pi D^3}$
• B. $\frac{12T}{\pi D^3}$
• C. $\frac{8T}{\pi D^3}$
• D. $\frac{4T}{\pi D^3}$

Answer 1

The correct option is B $\frac{12T}{\pi D^3}$


As,$T_A=\frac{3T}{4},T_B=\frac{T}{4}$
$T_{max}=\frac{3T}{4}\times \frac{16}{\pi D^3}=\frac{12T}{\pi D^3}$