question_answer

If \[{{\sigma }_{1}}\],\[{{\sigma }_{2}}\]and\[{{\sigma }_{y}}\]are maximum principal stress, minimum principal stress and yield stress, then according to maximum shear stress theory, which of the following expression satisfies:

A)  \[{{\sigma }_{y}}={{\sigma }_{1}}+{{\sigma }_{2}}\]             

B)  \[{{\sigma }_{y}}={{\sigma }_{1}}-{{\sigma }_{2}}\]

C)  \[{{\sigma }_{y}}={{\sigma }^{2}}_{1}+{{\sigma }^{2}}_{2}\]        

D)  \[{{\sigma }_{y}}={{\sigma }^{2}}_{1}-{{\sigma }^{2}}_{2}\]