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GATE CE 2018 Set 1 — Question 39

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MCQ+2 / -0.67MediumHooke's LawStress, Strain & BeamsStructural Engineering

Structural Engineering → Stress, Strain & Beams → Hooke's Law

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Question

A plate in equilibrium is subjected to uniform stresses along its edges with magnitude σxx=30 MPa\sigma_{xx} = 30\text{ MPa} and σyy=50 MPa\sigma_{yy} = 50\text{ MPa} as shown in the figure.
A square plate with uniform tensile stresses sigma_xx and sigma_yy applied to its edges.
The Young’s modulus of the material is 2×1011 N/m22 \times 10^{11}\text{ N/m}^2 and the Poisson’s ratio is 0.30.3. If σzz\sigma_{zz} is negligibly small and assumed to be zero, then the strain εzz\varepsilon_{zz} is
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