Question

A bar of square cross-section, having an area of cross-section A is subjected to a compressive force P as shown in the figure.


The intensity of the tangential stress on the oblique plane is given by

• A. $\frac{P}{A}sin2\theta$
• B. $\frac{P}{A}cos2\theta$
• C. $\frac{P}{2A}sin2\theta$
• D. $\frac{P}{2A}cos2\theta$

Answer 1

The correct option is C $\frac{P}{2A}sin2\theta$

The intensity of tangential stress.

$=\left(\frac{P}{A}\right)sin\theta cos\theta =\frac{P}{2A}sin2\theta$