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GATE CE 2017 Set 2 — Question 16

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MCQ+1 / -0.33MediumSimple Stress & StrainStress, Strain & BeamsStructural Engineering

Structural Engineering → Stress, Strain & Beams → Simple Stress & Strain

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Question

In a material under a state of plane strain, a 10×1010 \times 10 mm square centered at a point gets deformed as shown in the figure.
A square deforming into a rhombus in the x-y plane. The angle at the origin is labeled as $\frac{\pi}{2} + 0.0005$ rad. A horizontal displacement of $0.004$ mm is indicated at the bottom right corner.
If the shear strain γxy\gamma_{xy} at this point is expressed as 0.001k0.001k (in rad), the value of kk is
  1. A.
    0.50
  2. B.
    0.25
  3. C.
    -0.25
  4. D.
    -0.50

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