Question

At a point in a strained material, if two mutually perpendicular tensile stresses of 2000 $kg/c{m}^2$ and 1000 $kg/c{m}^2$ are acting, then the intensity of tangential stress on a plane inclined at 15° to the axis of the minor stress will be

• A. 125 $kg/c{m}^2$
• B. 250 $kg/c{m}^2$
• C. 500 $kg/c{m}^2$
• D. 1000 $kg/c{m}^2$

Answer 1

The correct option is B 250 $kg/c{m}^2$

Tangential stress
$=\left(\frac{{\sigma }_1-{\sigma }_2}{2}\right)\times \sin 2\theta$

$=\left(\frac{1000-2000}{2}\right)\times \sin 30{}^{\circ }$

$=-250kg/c{m}^2$