A) 0
B) \[500\,k\text{g/c}{{\text{m}}^{\text{2}}}\]
C) \[707\,k\text{g/c}{{\text{m}}^{\text{2}}}\]
D) \[1000\,k\text{g/c}{{\text{m}}^{\text{2}}}\]
Correct Answer: B
Solution :
\[{{\sigma }_{n}}=\frac{1}{2}({{\sigma }_{x}}+{{\sigma }_{y}})+\frac{1}{2}({{\sigma }_{x}}-{{\sigma }_{y}})\,cos\theta \] For \[\theta =45{}^\circ \] \[{{\sigma }_{n}}=\frac{1}{2}({{\sigma }_{x}}+{{\sigma }_{y}})+\frac{1}{2}(500+500)=500\,\text{kg/c}{{\text{m}}^{\text{2}}}\]
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