Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 8, Problem 8.2P
To determine
Draw the flow net and calculate the seepage loss per meter length of the sheet pile.
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Flow Nets
A single row of sheet piles is driven into a permeable layer as shown in the figure. Given:
• Hị = 5.5 m
• H2 = 4.4 m
Calculate the seepage loss per meter length of the sheet pile (at right angles to the cross section shown). Bear in mind that in the flow net of the system the number of flow channels is Nf = 4 and
the number of potential drops is Na = 8.
+ Sheet pile
H
H2
D
k = 4 × 10-4 cm/sec
Impermeable layer
Round your final answer to three significant figures.
® m³/ day /m
1.
A flow net for flow around a single row of sheet piles in a permeable soil layer is shown in the Figure below. Given that kx= kz = k= 5.5 x 10-3 cm/sec, H1 = 6.5 m and H2 = 2.3 m determine:
i. How high (above the ground surface) the water will rise if piezometers are placed at points a and b
ii. The total rate of seepage through the permeable layer per unit length
iii. The approximate average hydraulic gradient at c
The following figure shows a sheet pile wall for a temporary cut at a construction site. The soil
has a permeability, k, of 10-7 m/s.
1 m
6 m
1 m
6 m
5 m
-ĐATUM
IMPERVIOUS ROCK LAYER
A. Construct the flow net. Sketch the figure on your answer sheet then construct the flow net.
B. Compute the amount of seepage, qt, in terms of m2/s.
C. Estimate the pore water pressure at the bottom tip of the wall (point A). Assume water unit
weight, yw, is 10 kN/m³.
D. What are the assumptions for using a flownet in seepage analysis? Please list at least three.
Chapter 8 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- A deposit of cohesionless soil with a permeability of 0.3 mm/s has a depth of 12 m with impervious ledge below. A sheet pile wall is driven into this deposit to a depth of 8 m. The wall extendsabove the surface of the soil, and a 3 m depth of water acts on one side. Sketch the flow net and determine the seepage quantity. Provide a diagram a.600 ml/s/meter length b.300 ml/s/meter length c.900 ml/s/meter length d.1200 ml/s/meter lengtharrow_forwardA flow net for flow around a single row of sheet piles in a permeable soil layer is shown in Figure below with a scale as shown. Given that kx = kz=k = 4 x 10-3 cm/sec, determine How high (above the ground surface) the water will rise if piezometers are placed at points a and b The total rate of seepage through the permeable layer per unit length The approximate average hydraulic gradient at c factor of safety against piping x=1.6 y=2.8arrow_forwardA flow net for flow around a single row of sheet piles in a permeable soil layer is shown in Figure. Given that kx = kz = k = 5x10-3 cm/sec, determine: a) How high (above the ground surface) the water will rise if piezometers are placed at points a and b. %3D b) The rate of seepage through the permeable layer per unit length. c) The approximate average hydraulic gradient at c. Water level 5.6 m Water table 2.2 m Ground surface How channel 1 Flow channel 2 = 1 1 a How channel 3 0.38 Scale 5 m Impervious layer 1. - 01arrow_forward
- Example 3: A flow net for flow around a single row of sheet piles in a permeable soil layer is shown below Given that K, = K, =K = 5 x 10-3 cm/sec, determine 1. How high (above the ground surface) the water will rise if piezometers are placed at points a and b. 2. The total rate of seepage through the permeable layer per unit length. 3. The approximate average hydraulic gradient at Water level 5.6 m Water table 2.2 m Ground surface Flow channel I Flow channel 2 Flow channel 3 b. 0.38 Scale 5 m Impervious layerarrow_forwardExample 3: A flow net for flow around a single row of sheet piles in a permeable soil layer is shown below Given that K = = Ky = K = 5 x 10-3 cm/sec, determine 1. How high (above the ground surface) the water will rise if piezometers are placed at points a and b. 2. The total rate of seepage through the permeable layer per unit length. 3. The approximate average hydraulic gradient at Water level Ground surface Scale 5m 5.6 m P ► 2.2 m Water table Flow channel 1 Flow channel 2 = 1 1 b Flow channel 3 <= 1 Impervious layer 1 0.38arrow_forwardPROBLEM No. 5 The section of a sheet pile is shown in figure below. The coefficient of permeability of the soil is k = 4.2 x 103 m/s. Determine the seepage into the downstream side per meter length of the sheet pile.arrow_forward
- A flownet for flow around a single row of sheet piles in a permeable soil layer is shown in Figure 1 below. Given the hydraulic conductivity is 5 x 10-3 cm/sec. Determine:arrow_forwardHOMEWORK P1: For a given sheet pile driven into a permeable soil layer underlain by an impermeable clay layer, (a) Draw the flow net by using Nf= 3. (b) Compute the flow rate q around the sheet pile. Sheet pile h=3.5 m 1.5 m H=5 m H=10 m Sandy soil k=0.0035 cm/sec Impervious Layer Answer: (b) q = 0.583 cm3/s/cmarrow_forwardA deposit of cohesionless soil with a permeability of 0.3 mm/s has a depth of 12 m with impervious ledge below. A sheet pile wall is driven into this deposit to a depth of 8 m. The wall extendsabove the surface of the soil, and a 3 m depth of water acts on one side. Sketch the flow net and determine the seepage quantity. a. 600 ml/s/meter length b. 300 ml/s/meter length c. 1200 ml/s/meter length d. 900 ml/s/meter lengtharrow_forward
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