Question

The state of stress at a point is ${\sigma }_x={\sigma }_y={\sigma }_z={\tau }_{xz}={\tau }_{zx}={\tau }_{yz}={\tau }_{zy}=0$ and ${\tau }_{xy}={\tau }_{yx}$= 50 MPa. The maximum normal stress (in MPa) at that point is

• A. 50

Answer 1

The correct option is A 50
Given state of stress condition indicates pure shear state of stress.
For pure shear state of stress,
Max. tensile stress = Maximum comp. stress
= Maximum shear stress
$={\tau }_{xy}=50MPa$
Hence, maximum normal stress = 50 MPa