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GATE 2025 MN – Question 38

Geomechanics and Ground Control · Geomechanics · 2 marks · Multiple choice

A sandstone specimen in a triaxial test has confining stress10 MPa and axial stress50 MPa. Elastic axial strain is0.0042 and volumetric strain0.0020. Find E in GPa and Poisson ratio.

  1. 5.11,0.35
  2. 10.22,0.35
  3. 5.11,0.17
  4. 10.22,0.17

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Show answer and explanation

Correct answer: (B) 10.22,0.35

Explanation

Isotropic elasticity gives Eεa=50−20ν and Eεv=(1−2ν)(50+10+10). Divide the equations using εv/εa=0.002/0.0042, then solve ν≈0.3533. Substitution gives E≈10222 MPa=10.22 GPa. Therefore B.

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