Concept explainers
Draw the flow net and calculate the seepage loss per meter length of the sheet pile.
Answer to Problem 8.1P
The seepage loss per meter length of the sheet pile is
Explanation of Solution
Given information:
The hydraulic conductivity of the permeable soil layer k is
The height of the water level
The height of the water level
The depth of permeable layer up to the end of sheet pile D is 3 m.
The depth of permeable layer
Calculation:
Draw the free body diagram of the flow net for the given values as in Figure (1).
Refer Figure 1.
Determine the head difference between the upstream and downstream using the relation.
Substitute 6 m for
Determine the seepage loss per meter length of the sheet pile using the relation.
Here,
Substitute
Therefore, the seepage loss per meter length of the sheet pile is
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Chapter 8 Solutions
MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 2 terms (12 months)
- HOMEWORK 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_forwardGiven h = 30 m, D= 40 m and the soil beneath the dam has a hydraulic conductivity of 3×103 cm/s. Compute 1) pore pressure at point b, and 2) the flow rate under the sheet pile. given = h = 30m D=40m NF No *units meters 0.8h h 30 640) 0.7h 0.6h 0.5h Sheet pile D12-c 7777 0.4h b 0.34 0.2harrow_forwardExample 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_forward
- 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.arrow_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_forwardA 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_forward
- 4- 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_forwardA 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_forwardThe sheet pile shown on the figure below is driven into a soil with a permeabilityk = 22 × 10-4 cm/s. Calculatea- the seepage loss per metre lengthb- the pore water pressure at the 12 points shown on the figure.arrow_forward
- The weir shown below is 50 m long ● Draw a flow net for the flow under the weir Calculate the rate of seepage for the entire weir. Calculate the total uplift force acting on the weir base. Calculate the exit hydraulic gradient near the toe of the weir ● ● קק →★★ 10 m 24 m 37 m Sheet pile ==1.5 m 3 m 9 m k = 10-3 cm/sec Impermeable layerarrow_forwardProblem (2) a) Find the quantity of discharge q per meter width for the sheet pile given in the figures below, knowing that the soil has permeability of: k,= k,=22*10“cm/s b) Find pressure heads at 12 points as shown in figure. Provide the solution in a tabulated form for values of dissipated head and total head. c) Find the hydraulic gradient at exit (between point 11 and 12) Elevation (m) 100.0 Sheet piling 7 m 12 93.0 11 91.4 4 10 7 m 89.4 59 87.4 86.3 86.0 7 6 m 80.0 Imnervinusarrow_forwardQ1#: For the concrete Dam shown in figure, determine the total average seepage for the given permeable strata by drawing Flow Net. The detail dimensions are given on the figure. The head of water on upstream side is 6ft and on downstream side is 1ft. Assume of Nf= 3, Nd= 6 and rectangular flow elements. Use paint or graph paper. SIR PLS, GIVE ME PROPER AND CORRECT ANSWER WITH FULL DETAILS AND ALSO USE PAINT OR GRAPH PAPER. THANKSarrow_forward
- Fundamentals of Geotechnical Engineering (MindTap...Civil EngineeringISBN:9781305635180Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningPrinciples of Geotechnical Engineering (MindTap C...Civil EngineeringISBN:9781305970939Author:Braja M. Das, Khaled SobhanPublisher:Cengage Learning