Question

Assertion (A): In the analysis of two dimensional stresses, the normal stress on a plane will be greater than the average principal stress, if the inclination of the plane with the plane of maximum principal stress is less than 45°.
Reason (R): The horizontal coordinate of the point of the Mohr's circle represents the stresses on the given plane which is greater than the coordinate of the centre of Mohr's circle.

• A. Both A and R are true and R is the correct explanation of A
• B. Both A and R are true and R is not a correct explanation of A
• C. A is true but R is false
• D. A is false but R is true

Answer 1

The correct option is A Both A and R are true and R is the correct explanation of A


The point ($\sigma ,\tau$) represents the stress condition on a plane making less than 45° from the plane of maximum principal stress.
$\sigma >\left(\frac{{\sigma }_1+{\sigma }_2}{2}\right)$