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A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeability of soil is 10−6 m s. Difference in the water levels between the two sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s per m, up to one decimal place) under the sheet pile is _____
Correct answer is '1.6'. Can you explain this answer?
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A sheet pile has an embedment depth of 12 m in a homogeneous soil stra...
Nf = No. of flow channels = No. of flow lines -1 = 5 - 1 = 4
Nd = No. of equipotential drops= no. of equipotenial lines-1 = 11 - 1 = 10
Nd = No. of equipotential drops= no. of equipotenial lines-1 = 11 - 1 = 10
Most Upvoted Answer
A sheet pile has an embedment depth of 12 m in a homogeneous soil stra...
Calculation of Seepage Quantity
Embedment Depth and Coefficient of Permeability
- Sheet pile embedment depth = 12 m
- Coefficient of permeability of soil = 106 m/s
Water Level Difference and Flow Net
- Difference in water levels = 4 m
- Number of flow lines = 5
- Number of equipotential lines = 11
Darcy's Law
- Darcy's law states that the quantity of seepage, Q = KIA
Where,
- Q = Quantity of seepage
- K = Coefficient of permeability
- I = Hydraulic gradient
- A = Cross-sectional area of flow
Hydraulic Gradient
- Hydraulic gradient, I = (h1 - h2) / L
Where,
- h1 = Water level on one side of sheet pile
- h2 = Water level on the other side of sheet pile
- L = Length of flow path
Flow Area
- Flow area, A = (L/n) * b
Where,
- L = Length of flow path
- n = Number of flow lines
- b = Spacing between flow lines
Calculation
- Hydraulic gradient, I = (4 m) / (12 m) = 1/3
- Flow area, A = (12 m / 5) * (1 m) = 2.4 m²
- Quantity of seepage, Q = (106 m/s) * (1/3) * (2.4 m²) = 27.84 m³/s
- Quantity of seepage per unit length, q = Q / 12 m = 2.32 m³/s/m
- Converting to cm³/s/m, q = 2.32 * 10^6 cm³/s/m = 1.6 cm³/s/m (rounded to one decimal place)
Therefore, the quantity of seepage under the sheet pile is 1.6 cm³/s/m.
Embedment Depth and Coefficient of Permeability
- Sheet pile embedment depth = 12 m
- Coefficient of permeability of soil = 106 m/s
Water Level Difference and Flow Net
- Difference in water levels = 4 m
- Number of flow lines = 5
- Number of equipotential lines = 11
Darcy's Law
- Darcy's law states that the quantity of seepage, Q = KIA
Where,
- Q = Quantity of seepage
- K = Coefficient of permeability
- I = Hydraulic gradient
- A = Cross-sectional area of flow
Hydraulic Gradient
- Hydraulic gradient, I = (h1 - h2) / L
Where,
- h1 = Water level on one side of sheet pile
- h2 = Water level on the other side of sheet pile
- L = Length of flow path
Flow Area
- Flow area, A = (L/n) * b
Where,
- L = Length of flow path
- n = Number of flow lines
- b = Spacing between flow lines
Calculation
- Hydraulic gradient, I = (4 m) / (12 m) = 1/3
- Flow area, A = (12 m / 5) * (1 m) = 2.4 m²
- Quantity of seepage, Q = (106 m/s) * (1/3) * (2.4 m²) = 27.84 m³/s
- Quantity of seepage per unit length, q = Q / 12 m = 2.32 m³/s/m
- Converting to cm³/s/m, q = 2.32 * 10^6 cm³/s/m = 1.6 cm³/s/m (rounded to one decimal place)
Therefore, the quantity of seepage under the sheet pile is 1.6 cm³/s/m.
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A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeability of soil is 10−6 m s. Difference in the water levels between the two sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s per m, up to one decimal place) under the sheet pile is _____Correct answer is '1.6'. Can you explain this answer?
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A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeability of soil is 10−6 m s. Difference in the water levels between the two sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s per m, up to one decimal place) under the sheet pile is _____Correct answer is '1.6'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeability of soil is 10−6 m s. Difference in the water levels between the two sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s per m, up to one decimal place) under the sheet pile is _____Correct answer is '1.6'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeability of soil is 10−6 m s. Difference in the water levels between the two sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s per m, up to one decimal place) under the sheet pile is _____Correct answer is '1.6'. Can you explain this answer?.
A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeability of soil is 10−6 m s. Difference in the water levels between the two sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s per m, up to one decimal place) under the sheet pile is _____Correct answer is '1.6'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeability of soil is 10−6 m s. Difference in the water levels between the two sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s per m, up to one decimal place) under the sheet pile is _____Correct answer is '1.6'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeability of soil is 10−6 m s. Difference in the water levels between the two sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s per m, up to one decimal place) under the sheet pile is _____Correct answer is '1.6'. Can you explain this answer?.
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A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeability of soil is 10−6 m s. Difference in the water levels between the two sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s per m, up to one decimal place) under the sheet pile is _____Correct answer is '1.6'. Can you explain this answer?, a detailed solution for A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeability of soil is 10−6 m s. Difference in the water levels between the two sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s per m, up to one decimal place) under the sheet pile is _____Correct answer is '1.6'. Can you explain this answer? has been provided alongside types of A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeability of soil is 10−6 m s. Difference in the water levels between the two sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s per m, up to one decimal place) under the sheet pile is _____Correct answer is '1.6'. Can you explain this answer? theory, EduRev gives you an
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