Question

A specimen is subjected to a pure shear stress regime of intensity $\tau$. The resulting tensile and compressive stresses $\sigma$, which occur on planes inclined at 45° to the direction of the shear stresses, would be

• A. $\tau$
• B. $\frac{\tau }{2}$
• C. $\sqrt{2}\tau$
• D. $\frac{\tau }{\sqrt{2}}$

Answer 1

The correct option is A $\tau$

In case of pure shear,
$\sigma =\tau sin2\theta$
At 45° $\sigma =\tau sin90°$
= $\tau$