Question

The state of plane-stress at a point is given by ${\sigma }_x=200MPa$, ${\sigma }_y=100MPa$ and ${\tau }_{xy}=100MPa$. The maximum shear stress (in MPa) is

• A. 111.8
• B. 150.1
• C. 180.3
• D. 223.6

Answer 1

The correct option is A 111.8

In plane, ${\tau }_{max}=\frac{1}{2}\sqrt{({\sigma }_x-{\sigma }_y{)}^2+4{\tau }_{xy}^2}$
$=\frac{1}{2}\sqrt{{100}^2+4\times {100}^2}$
$=111.80MPa$