Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 7, Problem 7.5P
To determine
Draw the flow net.
Find 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 7 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- Estimate the magnitude of k of the clay at a void ratio (e) of 0.9. Use Eq. (2.41). 2.10 Refer to Figure P 2.10 and use these values: • H = 7 m, • H, = 1.75 m, D = 7 m D = 3.5 m Draw a flow net. Calculate the seepage loss per meter length of the sheet pile (at a right angle to the cross section shown). Sheet pile H1 H2 D1 k= 6.5 x 10-4cm/sec Impermeable layer Figure P2.10 = 0.6. 2.11 A sand has the following: D10 = 0.2 mm, D = 0.4 mm, and void ratio e a. Determine the hydraulic conductivity using Eq. (2.38). b. Determine the hydraulic conductivity using Eq. (2.40).arrow_forward11.10 A concrete pile 0.406 m x 0.406 m in cross section is shown in Figure P11.10. Calculate the ultimate skin friction resistance by using the a. a method b. A method c. ẞ method Use =20° for all clays, which are normally consolidated. 6.1 m 12.2 m 0.406 m Figure P11.10 Groundwater table Ysat Silty clay 18.55 kN/m³ Cu = 35 kN/m² Silty clay Ysat = 19.24 kN/m³ Cu = 75 kN/m²arrow_forwardQuestion: A flow net for flow around a single row of sheet piles in a permeable soil layer is shown in Figure 1. Given that k = 5 + 10-5 mm/sec Ya = 20 kN/m³ w = 21% n = 20% Determine, a) How high [m] the water will rise if piezometer is placed at point B (above point B). b) The total rate of seepage [m/s/m] through the permeable layer per unit length. c) Magnitudes of effective vertical stress [kN/m³] at A and B. Sheet piling 4.00 m 8.00 m 1.00 m 11.00 m FC 6.00 m 8.00 m Datum Figure 1arrow_forward
- PROBLEM 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_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 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_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_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_forward4- For the weir shown in Figure below, calculate the seepage in the permeable layer in ft/day/ft for (a) x'= 1 ft and (b) x'= 2 ft. Use Harr, 1962. 8 ft 4 ft + Sheet pile k = 10-3 ft /sec Permeable layer Impermeable layerarrow_forward
- Example A flow net for flow around single row of sheet piles in a permeable soil layer is shown in the figure. Given Sheet pile kx = k = k = 5xl10-3 cm/sec. Determine: 1. How high (above the ground 0 surface) the water will rise if piezometers are placed at points a, b, c, and d. 2. The total rate of seepage II II -4.5 Nr= 3 through the permeable layer per unit width. 3. The rate of seepage through the flow channel II per unit width (perpendicular to the section shown) -9.0 Datum Imnermeahle laverarrow_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, = 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_forwardGiven h = 30 m, D= 40 m and the soil beneath the dam has a hydraulic conductivity of 3x10-3 cm/s. Compute 1) pore pressure at point b, and 2) the flow rate under the sheet pile. given = h = 30m NF No D=40m *units meters 0.8h h 30 640 0.7h Sheet pile D12-c 0.6h 0.5h 0.4h 0.2harrow_forward
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