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) \[150\,\text{kgf/c}{{\text{m}}^{\text{2}}}\]
Correct Answer: C
Solution :
\[{{\tau }_{\max }}=\frac{1}{2}\sqrt{{{({{\sigma }_{x}}-{{\sigma }_{y}})}^{2}}+4{{\tau }^{2}}_{xy}}\] \[=\frac{1}{2}\sqrt{{{(100-0)}^{2}}+4\times {{100}^{2}}}\] \[=50\sqrt{5}\,\,\text{kgf/c}{{\text{m}}^{\text{2}}}\]
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