GATE 2019 ME (ME2) – Question 31
A point’s stress state has a Mohr circle of radius 100 MPa centered at 200 MPa on the normal-stress axis. On a plane through the point, normal stress is 260 MPa. Find shear-stress magnitude on that plane (MPa).
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Correct answer: 79 to 81
Explanation
Mohr’s circle gives $(\sigma-200)^2+\tau^2=100^2$. With $\sigma=260$, $|\tau|=\sqrt{100^2-60^2}=\mathbf{80}$ MPa.