Question

The state of stress at a point under plane stress condition is
${\sigma }_{xx}=40MPa,{\sigma }_{yy}=100MPa$ and ${\tau }_{xy}=40MPa$ The radius of Mohr's circle representing the given state of stress in MPa is

• A. 40
• B. 50
• C. 60
• D. 100

Answer 1

The correct option is B 50

Mohr's circle
Radius $=\sqrt{{\left(\frac{{\sigma }_x-{\sigma }_y}{2}\right)}^2+{\tau }_{xy}^2}$
$=\sqrt{{\left(\frac{40-100}{2}\right)}^2+{40}^2}$
$=50MPa$