The state of 2D-stress at a point is given by the following matrix of stresses:\(\left[ {\begin{array}{*{20}{c}}{{{\rm{\sigma }}_{{\rm{xx}}}}}&{{{\rm{\sigma }}_{{\rm{xy}}}}}\\{{{\rm{\sigma }}_{{\rm{xy}}}}}&{{{\rm{\sigma }}_{{\rm{yy}}}}}\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}{100}&{30}\\{30}&{20}\end{array}} \right]{\rm{MPa}}\) What is the magnitude of maximum shear stress in MPa?

The state of 2D-stress at a point is given by the following matrix of

1.	The state of 2D-stress at a point is given by the following matrix of stresses:\(\left[ {\begin{array}{{20}{c}}{{{\rm{\sigma }}_{{\rm{xx}}}}}&{{{\rm{\sigma }}_{{\rm{xy}}}}}\\{{{\rm{\sigma }}_{{\rm{xy}}}}}&{{{\rm{\sigma }}_{{\rm{yy}}}}}\end{array}} \right] = \left[ {\begin{array}{{20}{c}}{100}&{30}\\{30}&{20}\end{array}} \right]{\rm{MPa}}\) What is the magnitude of maximum shear stress in MPa?
A.	50
B.	75
C.	100
D.	110
Answer» B. 75