Question

Assuming E = 160 GPa and G = 100 GPa for material, a strain tensor is given
$(\left(\begin{array}{ccc}0.002& 0.004& 0.006\\ 0.004& 0.003& 0\\ 0.006& 0& 0\end{array}\right))$. The shear stress, ${\tau }_{xy}$ is:

• A. 400 MPa
• B. 500 MPa
• C. 800 MPa
• D. 1000 MPa

Answer 1

The correct option is C 800 MPa

From matrix,
$\frac{{\gamma }_{xy}}{2}=0.004$
$\Rightarrow {\gamma }_{xy}=0.008$
${\tau }_{xy}={\gamma }_{xy}.G=0.008\times 100\times {10}^3=800\text{MPa}$