GATE 2023 MT – Question 56
A thin plate is in plane stress with $\sigma_{xx}=110$ MPa, $\sigma_{yy}=-50$ MPa, and $\tau_{xy}=-70$ MPa. Its maximum principal stress is ______ MPa (nearest integer).
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Correct answer: 130 to 140
Explanation
Principal in-plane stresses are $(110-50)/2\pm\sqrt{[(110+50)/2]^2+(-70)^2}=30\pm\sqrt{11300}$ MPa. The larger is 136.30 MPa, exceeding the out-of-plane principal stress zero. Answer: **136 MPa**.