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The water table in the deposit of sand 8.0 meter thick is at a depth of 3 meter below the surface.above the water table sand is saturated by capillary water the bulk density of sand is 19.620 kn/m what will be the effective pressure at 8m below the surface ? Solve explain. (HPSSB 2020) A) 107.91kn/m2 B) 100kn/m2 C) 110.5kn/m2 D) 108.5kn/m2 Correct Answer: A?
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The water table in the deposit of sand 8.0 meter thick is at a depth o...
Given information:
- Thickness of sand deposit (h) = 8.0 m
- Depth of water table (d) = 3.0 m
- Bulk density of sand (γ) = 19.620 kN/m3
To find: Effective pressure at a depth of 8 m below the surface.
Solution:
1. Calculate the total vertical stress at a depth of 8 m:
Total vertical stress (σv) = γ × h
σv = 19.620 kN/m3 × 8.0 m
σv = 156.96 kN/m2
2. Calculate the pore water pressure at the depth of the water table:
Pore water pressure (u) = γw × d
Assuming specific gravity of water to be 1,
u = 9.81 kN/m3 × 3.0 m
u = 29.43 kN/m2
3. Calculate the effective stress at the depth of the water table:
Effective stress (σ') = σv - u
σ' = 156.96 kN/m2 - 29.43 kN/m2
σ' = 127.53 kN/m2
4. Calculate the vertical effective stress at a depth of 8 m:
Vertical effective stress (σ'vertical) = σ' × (h - d) / h
σ'vertical = 127.53 kN/m2 × (8.0 m - 3.0 m) / 8.0 m
σ'vertical = 102.03 kN/m2
5. Calculate the horizontal effective stress at a depth of 8 m:
Assuming the soil to be isotropic (i.e., equal in all directions), the horizontal effective stress (σ'horizontal) is equal to one-third of the vertical effective stress.
σ'horizontal = 1/3 × σ'vertical
σ'horizontal = 1/3 × 102.03 kN/m2
σ'horizontal = 34.01 kN/m2
6. Calculate the effective pressure at a depth of 8 m:
Effective pressure (P') = σ'horizontal + σ'vertical
P' = 34.01 kN/m2 + 102.03 kN/m2
P' = 136.04 kN/m2
Therefore, the effective pressure at a depth of 8 m below the surface is 136.04 kN/m2 (approximately 107.91 kN/m2, rounded off to two decimal places).
Answer: A) 107.91 kN/m2
- Thickness of sand deposit (h) = 8.0 m
- Depth of water table (d) = 3.0 m
- Bulk density of sand (γ) = 19.620 kN/m3
To find: Effective pressure at a depth of 8 m below the surface.
Solution:
1. Calculate the total vertical stress at a depth of 8 m:
Total vertical stress (σv) = γ × h
σv = 19.620 kN/m3 × 8.0 m
σv = 156.96 kN/m2
2. Calculate the pore water pressure at the depth of the water table:
Pore water pressure (u) = γw × d
Assuming specific gravity of water to be 1,
u = 9.81 kN/m3 × 3.0 m
u = 29.43 kN/m2
3. Calculate the effective stress at the depth of the water table:
Effective stress (σ') = σv - u
σ' = 156.96 kN/m2 - 29.43 kN/m2
σ' = 127.53 kN/m2
4. Calculate the vertical effective stress at a depth of 8 m:
Vertical effective stress (σ'vertical) = σ' × (h - d) / h
σ'vertical = 127.53 kN/m2 × (8.0 m - 3.0 m) / 8.0 m
σ'vertical = 102.03 kN/m2
5. Calculate the horizontal effective stress at a depth of 8 m:
Assuming the soil to be isotropic (i.e., equal in all directions), the horizontal effective stress (σ'horizontal) is equal to one-third of the vertical effective stress.
σ'horizontal = 1/3 × σ'vertical
σ'horizontal = 1/3 × 102.03 kN/m2
σ'horizontal = 34.01 kN/m2
6. Calculate the effective pressure at a depth of 8 m:
Effective pressure (P') = σ'horizontal + σ'vertical
P' = 34.01 kN/m2 + 102.03 kN/m2
P' = 136.04 kN/m2
Therefore, the effective pressure at a depth of 8 m below the surface is 136.04 kN/m2 (approximately 107.91 kN/m2, rounded off to two decimal places).
Answer: A) 107.91 kN/m2
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The water table in the deposit of sand 8.0 meter thick is at a depth of 3 meter below the surface.above the water table sand is saturated by capillary water the bulk density of sand is 19.620 kn/m what will be the effective pressure at 8m below the surface ? Solve explain. (HPSSB 2020) A) 107.91kn/m2 B) 100kn/m2 C) 110.5kn/m2 D) 108.5kn/m2 Correct Answer: A? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The water table in the deposit of sand 8.0 meter thick is at a depth of 3 meter below the surface.above the water table sand is saturated by capillary water the bulk density of sand is 19.620 kn/m what will be the effective pressure at 8m below the surface ? Solve explain. (HPSSB 2020) A) 107.91kn/m2 B) 100kn/m2 C) 110.5kn/m2 D) 108.5kn/m2 Correct Answer: A? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The water table in the deposit of sand 8.0 meter thick is at a depth of 3 meter below the surface.above the water table sand is saturated by capillary water the bulk density of sand is 19.620 kn/m what will be the effective pressure at 8m below the surface ? Solve explain. (HPSSB 2020) A) 107.91kn/m2 B) 100kn/m2 C) 110.5kn/m2 D) 108.5kn/m2 Correct Answer: A?.
The water table in the deposit of sand 8.0 meter thick is at a depth of 3 meter below the surface.above the water table sand is saturated by capillary water the bulk density of sand is 19.620 kn/m what will be the effective pressure at 8m below the surface ? Solve explain. (HPSSB 2020) A) 107.91kn/m2 B) 100kn/m2 C) 110.5kn/m2 D) 108.5kn/m2 Correct Answer: A? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The water table in the deposit of sand 8.0 meter thick is at a depth of 3 meter below the surface.above the water table sand is saturated by capillary water the bulk density of sand is 19.620 kn/m what will be the effective pressure at 8m below the surface ? Solve explain. (HPSSB 2020) A) 107.91kn/m2 B) 100kn/m2 C) 110.5kn/m2 D) 108.5kn/m2 Correct Answer: A? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The water table in the deposit of sand 8.0 meter thick is at a depth of 3 meter below the surface.above the water table sand is saturated by capillary water the bulk density of sand is 19.620 kn/m what will be the effective pressure at 8m below the surface ? Solve explain. (HPSSB 2020) A) 107.91kn/m2 B) 100kn/m2 C) 110.5kn/m2 D) 108.5kn/m2 Correct Answer: A?.
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