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GATE 2024 MT – Question 34

Mechanical Behaviour of Materials · Dislocations and strengthening · 1 mark · Numerical answer

A single crystal has slip-plane normal at $60^\circ$ and slip direction at $45^\circ$ to the tensile axis. Its critical resolved shear stress is 2 MPa. The tensile stress at onset of plastic deformation is ______ MPa (one decimal place).

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Correct answer: 5.5 to 5.8

Explanation

Schmid’s law gives τCRSS=σcosφcosλ.

With φ=60°, λ=45° and τCRSS=2 MPa, σ=2/(0.5×0.707107)=5.65685 MPa.

Rounded, **5.7 MPa**.