Question

The rectangular block shown in the given figure is subjected to pure shear of intensity 'q'. If BE represents the principal plane and the principal stresses are ${\sigma }_1,{\sigma }_2$; then the value of $\theta ,{\sigma }_{1}and{\sigma }_2$ will be respectively.

• A. 0°, 90°;+q and -q
• B. 30°,120°;+q and -q
• C. 45°, 135°; $+\frac{q}{2}and-\frac{q}{2}$
• D. 45°, 135°; + q and - q

Answer 1

The correct option is D 45°, 135°; + q and - q

The principal stresses will act on planes at 45° and 135°.
The values of principal stresses will be q and -q.