Question

A bar is subjected to equal and opposite forces as shown in the figure. PQRS is a plane making angle $\theta$ with the cross-section of the bar. If the area of cross-section be ‘A’, then when is the shearing stress maximum

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Shearing stress $=\frac{Fsin2\theta }{2A}$. It will be maximum when $sin2\theta =maxi.e.sin2\theta =1\Rightarrow 2\theta ={90}^{\circ }\Rightarrow \theta ={45}^{\circ }$.