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GATE 2020 PI – Question 33

Manufacturing Processes I · Metal Forming · 1 mark · Numerical answer

A ductile tensile specimen has ultimate engineering stress400 MPa and25% elongation at maximum load. Find true stress at maximum load in MPa.

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Correct answer: 500 to 500

Explanation

Before necking, volume constancy gives true stress σt=σengineering(1+e). At maximum load, e=0.25, so σt=400(1.25)=500 MPa. This conversion uses the reduced instantaneous section rather than the initial area.

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