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GATE 2025 MN – Question 17

Geomechanics and Ground Control · Geomechanics · 1 mark · Multiple choice

Principal stresses satisfy |τmax|=σ₁=−σ₃. What is the normal-stress magnitude on a maximum-shear plane?

  1. 0
  2. σ₁
  3. σ₃
  4. (σ₁−σ₃)/2

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Correct answer: (A) 0

Explanation

On a maximum-shear plane, normal stress equals the centre of Mohr’s circle, (σ₁+σ₃)/2. The given principal stresses are equal and opposite, so that average is zero. Thus A; the half-difference gives shear magnitude, not normal stress.

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