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The soil profile at a site up to a depth of 10 m is shown in the figure (not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of 70 kN/m2 at the ground level. The water table is at a depth of 3 m below ground level. The soil unit weight of the respective layers is shown in the figure. Consider unit weight of water as 9.81 kN/m3 and assume that the surcharge (q) is applied instantaneously.

Immediately after preloading, the effective stresses (in kPa) at points P and Q respectively, are
  • a)
    36 and 126
  • b)
    36 and 90
  • c)
    54 and 95
  • d)
    124 and 204
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The soil profile at a site up to a depth of 10 m is shown in the figur...

Surcharge (q = 70 kN/m2) is applied instantaneously hence excess pore pressure (ui = 70 kPa) is developed at point P and Q [GWT level is at level P]
At point P: Total stress σ = q + 3γ = 70 + 3 × 18
Pore water pressure = Hydrostatics pore  pressure + Excess pore pressure
=0  + ui = 0 + 70 = 70 kN/m2
Effective stress, 
At point Q: Total stress, σ = q + 3γ + 4γsat = 70 + 3 × 18 + 4 × 20
Pore pressure, u = Hydrostatics pore pressure + Excess pore pressure
=4γw + ui = 4 × 9.81 + 70
Effective stress, 
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The soil profile at a site up to a depth of 10 m is shown in the figure (not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of 70 kN/m2 at the ground level. The water table is at a depth of 3 m below ground level. The soil unit weight of the respective layers is shown in the figure. Consider unit weight of water as 9.81 kN/m3 and assume that the surcharge (q) is applied instantaneously.Immediately after preloading, the effective stresses (in kPa) at points P and Q respectively, area)36 and 126b)36 and 90c)54 and 95d)124 and 204Correct answer is option 'C'. Can you explain this answer?
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The soil profile at a site up to a depth of 10 m is shown in the figure (not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of 70 kN/m2 at the ground level. The water table is at a depth of 3 m below ground level. The soil unit weight of the respective layers is shown in the figure. Consider unit weight of water as 9.81 kN/m3 and assume that the surcharge (q) is applied instantaneously.Immediately after preloading, the effective stresses (in kPa) at points P and Q respectively, area)36 and 126b)36 and 90c)54 and 95d)124 and 204Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The soil profile at a site up to a depth of 10 m is shown in the figure (not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of 70 kN/m2 at the ground level. The water table is at a depth of 3 m below ground level. The soil unit weight of the respective layers is shown in the figure. Consider unit weight of water as 9.81 kN/m3 and assume that the surcharge (q) is applied instantaneously.Immediately after preloading, the effective stresses (in kPa) at points P and Q respectively, area)36 and 126b)36 and 90c)54 and 95d)124 and 204Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The soil profile at a site up to a depth of 10 m is shown in the figure (not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of 70 kN/m2 at the ground level. The water table is at a depth of 3 m below ground level. The soil unit weight of the respective layers is shown in the figure. Consider unit weight of water as 9.81 kN/m3 and assume that the surcharge (q) is applied instantaneously.Immediately after preloading, the effective stresses (in kPa) at points P and Q respectively, area)36 and 126b)36 and 90c)54 and 95d)124 and 204Correct answer is option 'C'. Can you explain this answer?.
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