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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Draw a flow net for a single row of sheet piles driven into a permeable layer as showin Figure Q3 (b) below. Thus, determine the seepage loss per meter length of thesheet pile.H1 = 9.6 m D = 5 mH2 = 3.7 m D1 = 13 m
Determine the factor of safety against heave on the downstream side of the single-row sheet pile structure shown in Figure 9.30. Use the following soil and design parameters: H1 = 7 m, H2 = 3 m, thickness of permeable layer (T) = 12 m, design depth of penetration of sheet pile (D) = 4.5 m, and γsat = 17 kN/m3
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:
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Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 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 carrow_forwardRefer to Figure 8.23. Given:• H1 = 6m• H2 = 1.5 m• D = 3 m• D1 = 6 mDraw a flow net. Calculate the seepage loss per meter length of the sheet pile (at a right angle to the cross section shown).arrow_forwardFor the flow net shown in the figure below, if the datum is selected at the downstream water surface, determine: (a) the total head at point b; (b) the pressure head at point b if point b is 11 m below the downstream ground surface (or 13 m below the downstream water surface); (c) uplift pressure at point b; (d) the factor of safety against heave on the downstream side of the single-row sheet pile structure shown below. The depth of penetration of sheet pile (D) is 4.5 m. (Note: the blue dashed area is the heave zone)arrow_forward
- (c) A dam shown in Figure Q1 (c) retains 6m of water. A sheet pile wall on the upstreamside (which is to reduce seepage under the dam) penetrates 4m into a 10m thick of siltysand stratum. Below the silty sand is a thick deposit of clay. Assume that the silty sandis homogeneous and isotropic. (i) Calculate q in cm/s.(ii) Analyze the pore water pressure distribution on the front of the sheet pile (atevery 2m @ at points A, F and G). Given the Nd of points A, F and G are 0.5,1.5 and 3.0 respectively.(iii) Analyze the pore water pressure distribution at the base of the dam. (at every5m @ at points A, B, C, D and E). Given the Nd of points A, B, C, D and E are5.6, 6.7, 8.0, 10.0, 13.0 respectively.(iv) Determine the uplift force under the dam.(v) Calculate the factor of safety against piping. Given Lmin = 0.85m.arrow_forwardRefer to Figure 18.26b. Let L = 15.24 m, fill = 17.29 kN/m3, sat(clay) = 19.49 kN/m3, clay = 20, Hf = 3.05 m, and D = 0.406 m. The water table coincides with the top of the clay layer. Determine the total downward drag on the pile. Assume that = 0.6 clay. FIG. 18.26 Negative skin frictionarrow_forwardFigure 18.26a shows a pile. Let L = 20 m, D = 450 mm. Hf = 4m, f = 17.5 kN/m3, fill = 25. Determine the total downward drag force on the pile. Assume that the fill is located above the water table and that = 0.5 fill. FIG. 18.26 Negative skin frictionarrow_forward
- Refer to Figure 18.13. Given L1 = 1.5 m, L2 = 3 m; for the sand, =33, =16.5kN/m3, sat=19.0kN/m3; and, for the clay, c=50kN/m2, =0, sat=20kN/m3. Determine the depth of sheet pile required, allowing for a 50% increase from the theoretical estimate.arrow_forwardThe Figure below shows a long pile wall driven in sand with Coefficient of permeability K= 0.05cm/sec.it is required to: 1.Estimate the max. possible value of dimension h, where Ah=1.2. 2.Calculate the seepage loss (m /day) per meter of wallarrow_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
- The value of k of soil around a sheet pile is 10-6 m/s. The flow net of this sheet pile consists of 5 flow lines and 11 equipotential lines. Determine the rate of seepage (in cm3/s per m) if the difference in the water level is of 4m.arrow_forwardGiven the sketch of half of a symmetrical Flow Net shown in Figure H8-4, compute the total head, pressure head, and elevation head for a point halfway up the sheet pile from its base, on either side of the sheet pile (i.e., Points C and B are on the left and right faces of the sheet pile). Assume the water is 5 m and 1 m above the ground surface in the upstream and downstream sides of the sheet pile, respectively. Use the bottom of the silty sand soil as the Datum.arrow_forwardProblem #1 The figure below shows a cantilever sheet-pile wall penetrating a granular soil. Here, L1 = 4 m, L2 = 8 m, unit weight above water table= 16.1 kN/m3, saturated unit weight = 5 18.2 kN/m3, and friction angle of sand = 32 degrees. a. What is the theoretical depth of embedment, D? b. For a 30% increase in D, what should be the total length of the sheet piles? c. Determine the theoretical maximum moment of the sheet pile. d. If the allowable flexural stress = 170 MPa, compute the required section modulus of the sheet pile.arrow_forward
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