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GATE ME 2025 Set 1 — Question 56

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NAT+2 / -0MediumStress & StrainStress, Strain & Elastic ConstantsStrength of MaterialsElastic Constants & Poisson's Ratio

Strength of Materials → Stress, Strain & Elastic Constants → Elastic Constants & Poisson's Ratio

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Question

The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction (ϵzz\epsilon_{zz}) is ____________ (rounded off to 2 decimal places).
Use the Young’s Modulus E=200 GPaE = 200\text{ GPa} and Poisson’s ratio ν=0.27\nu = 0.27.
State of stress on a 2D element with $\sigma_x = 350\text{ GPa}$, $\sigma_y = 150\text{ GPa}$, and $\tau_{xy} = 50\text{ GPa}$
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