Question

The state of stress on a element in plane stress is shown as in the figure.


What is the value of $\sigma$ if the values of the principal stresses are 164 $N/m{m}^2$ and 36 $N/m{m}^2$, both tensile?

• A. 100 $N/m{m}^2$
• B. 75 $N/m{m}^2$
• C. 62.5 $N/m{m}^2$
• D. 50 $N/m{m}^2$

Answer 1

The correct option is D 50 $N/m{m}^2$

As we know that,

${\sigma }_x+{\sigma }_y={\sigma }_1+{\sigma }_2$

$150+\sigma =164+36$

$\sigma =50N/m{m}^2$