GATE 2025 PI – Question 29
General Engineering · Applied Mechanics · 1 mark · Numerical answer
Principal stresses are 300,250,100 MPa. Yielding is just beginning. Find yield strength according to Tresca (integer MPa).
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Correct answer: 199 to 201
Explanation
Tresca sets maximum shear $(\sigma_{max}-\sigma_{min})/2$ equal to half the uniaxial yield strength. Therefore $\sigma_Y=300-100=\mathbf{200}$ MPa.
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