Question

If the two principal strains at a point are 1000 x ${10}^{-6}$ and -600 x ${10}^{-6}$, then the maximum shear strain is

• A. 800 x ${10}^{-6}$
• B. 500 x ${10}^{-6}$
• C. 1600 x ${10}^{-6}$
• D. 200 x ${10}^{-6}$

Answer 1

The correct option is C 1600 x ${10}^{-6}$



$\frac{{\varphi }_{max}}{2}=radius=\frac{{ϵ}_1-{ϵ}_2}{2}{\varphi }_{max}={ϵ}_1-{ϵ}_2=[1000-(-600\left)\right]\times {10}^{-6}=1600\times {10}^{-6}$