GATE CE 2022 Set 2 — Question 41
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Geotechnical Engineering → Effective Stress & Compaction → Principle of Effective Stress
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Question
A soil sample is underlying a water column of height , as shown in the figure. The vertical effective stresses at points A, B, and C are , , and , respectively. Let and be the saturated and submerged unit weights of the soil sample, respectively, and be the unit weight of water. Which one of the following expressions correctly represents the sum ?
Correct answer
(A) (2h₂ + h₃)γ'
Solution
Vertical effective stress is given by , where is total stress and is pore water pressure.
Pore water pressure
Effective stress
Pore water pressure
Effective stress
Pore water pressure
Effective stress Sum of effective stresses:
1.At point A (at the water-soil interface):
Total stress Pore water pressure
Effective stress
2.At point B (at depth in the soil):
Total stress Pore water pressure
Effective stress
3.At point C (at depth in the soil):
Total stress Pore water pressure
Effective stress Sum of effective stresses:
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