• # question_answer A plane stressed clement is subjected to the state of stress given by ${{\sigma }_{x}}={{\tau }_{xy}}=10\,\text{kgf/c}{{\text{m}}^{\text{2}}}$ and ${{\sigma }_{x}}=0.$ Maximum shear stress in the element is equal to: A) $50\sqrt{3}\,\text{kgf}\,\,\text{c}{{\text{m}}^{\text{2}}}$        B) $100\,\text{kgf/c}{{\text{m}}^{\text{2}}}$C) $50\sqrt{5}\,\text{kgf/c}{{\text{m}}^{\text{2}}}$        D) $150\,\text{kgf/c}{{\text{m}}^{\text{2}}}$

${{\tau }_{\max }}=\frac{1}{2}\sqrt{{{({{\sigma }_{x}}-{{\sigma }_{y}})}^{2}}+4{{\tau }^{2}}_{xy}}$ $=\frac{1}{2}\sqrt{{{(100-0)}^{2}}+4\times {{100}^{2}}}$ $=50\sqrt{5}\,\,\text{kgf/c}{{\text{m}}^{\text{2}}}$