Question

A square element of a structural part is subjected to biaxial stresses as shown in the figure. On a plane along BD, the intensity of the resultant stress due to these conditions will be

• A. $25\sqrt{5}N/m{m}^2$
• B. $50\sqrt{5}N/m{m}^2$
• C. $75\sqrt{5}N/m{m}^2$
• D. $100\sqrt{5}N/m{m}^2$

Answer 1

The correct option is D $100\sqrt{5}N/m{m}^2$

$\sigma =\frac{300+100}{2}+\frac{300-100}{2}\cos 90{}^{\circ }$

$=200N/m{m}^2$

$\tau =\frac{300-100}{2}=100N/m{m}^2$

$\therefore ResultantstressonBD$

$=\sqrt{{\sigma }^2+{\tau }^2}=100\sqrt{5}N/m{m}^2$