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GATE 2020 AG – Question 41

Soil and Water Conservation Engineering · Soil Mechanics · 2 marks · Multiple choice

A 5 m retaining wall holds dry cohesionless soil of density 1.9 Mg/m³ and friction angle28°. Backfill is horizontal. With g=9.81 m/s², find active and passive thrusts per metre wall in kN, respectively.

  1. 84.11,645.38
  2. 645.38,84.11
  3. 142.12,381.63
  4. 381.63,142.12

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Correct answer: (A) 84.11,645.38

Explanation

Rankine coefficients are $K_a=(1-\sin\phi)/(1+\sin\phi)$ and Kp=1/Ka. Soil unit weight is 1.9×9.81=18.639 kN/m³. Thrust is KγH²/2. Substitution yields Pa≈84.11 and Pp≈645.38 kN/m, A.

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