Question

For the plane stress situation shown in the diagram below, what is the maximum shear stress?

• A. Zero, when X and Y axes are rotated 45° clockwise
• B. Zero, at all positions of orientation of X and Y axes
• C. 20 MPa, at all positions of orientation of X and Y axes
• D. -20 MPa, when X and Y axes are rotated 45° anticlockwise

Answer 1

The correct option is B Zero, at all positions of orientation of X and Y axes

The Mohr's circle will be a point as ${\sigma }_x={\sigma }_y=20$ MPa. Therefore, shear stress will be zero for all the positions of orientation of x and y axes.