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 7.2P
(a)
To determine
Find the flow rate beneath the dam (q).
(b)
To determine
Find the rise of water level.
(c)
To determine
Find the pore water pressure at the tip of the sheet pile.
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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 c
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:
(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.
Chapter 7 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- Refer to Figure 7.24. The following data were collected during the field permeability measurement of a confined aquifer using a pumping test. Determine the hydraulic conductivity of the permeable layer. Use Eq. (7.49). Thickness of the aquifer, H = 4.5 m Piezometric level and radial distance of the first observation well: h1 = 2.9 m; r1 = 17.8 m Piezometric level and radial distance of the second observation well: h2 = 1.8 m; r2 = 8.1 m Rate of discharge from pumping, q = 0.5 m3/minarrow_forwardThe figure below represents a system with flow in the horizontal direction. Find the value of each pressure charge, level charge, and total charge in A, B, C, D, E, F, G, plus the real and approximate velocity of water flow plotting all of the above, given that soil porosity = 0.33 and transmittance coefficient = 0.50 cm/secarrow_forwardFor the two-dimensional flow system shown below (units in meters):Compute the total flow rate under the Dam. X = 4, Y = 8. Note 1: Point A is located in the middle point of the equipotential lines. Point B is located in the middle point of the flow lines.Note 2: Assume e=0.8 (void ratio) and k=10^-3 cm/s (coeff. of permeability).Note 3: Datum is located at the bottom level of the water (right side of Dam).Note 4: Remember, the figure is drawn to scale. So, use the value of 2X+Y to estimate any dimension that you consider necessary.arrow_forward
- Seepage around a retaining wall is shown in the figure below. The hydraulic conductivity of the sand is 1.8 x 10-5 cm/s. The retaining wall is 20 m long. Determine the quantity of seepage across the entire wall per dayarrow_forwardQ#3 : 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 paperarrow_forwardA 500 m long levee made of compacted clay impoundswater in a reservoir as shown in attached Figure There is a 1 mthick (measured in the direction perpendicular to the seam)sand seam continuing along the entire length of the levee, at10° inclination to the horizontal, which connects the reservoirand the ditch. The hydraulic conductivity of the sand is2.6 X 10-3 cm/s. Determine the volume of water that flowsinto the ditch every day.arrow_forward
- for the hydraulic structure shown in figure 8.19 draw a flow net through the permeable layer and calculate the seepage loss in m3/day/marrow_forwardA cofferdam (a temporary dam for construction purposes) is built across the mouth of a small bay. It is 41.15 m in length and is underlain by a permeable sand layer as shown in Figure 2. Water seeps through this sand (K=0.064 cm/s) and must bepumped out. Find the total seepage per day.arrow_forwardHow do the frequency of exceedance and the return period affect the design of hydraulic structures?arrow_forward
- A double wall sheet pile coffer dam retains a height of water 9 m on one side. A flow net constructed for this structure, driven into a pervious deposit overlain by an impervious ledge, consists of five flow channels and fifteen potential drops. The length of the coffer dam is 90 metres.If the coefficient of permeability of the pervious deposit is 10^–2 mm/s determine the seepage in cubic metres per day. a. 621.4 m^3/s b. 946.5 m^3/s c. 101.0 m^3/s d. 233.3 m^3/sarrow_forwardUse 10 kN/m3 for unit weight of water. For a concrete structure that retains water, a flow net is sketched as shown in Figure H8-3. Noting the marked location of the Datum, answer the following: Mark on the figure all boundary Also mark the type of each boundary. Calculate the uplift pressures at points A, B, C, D, E, and F. Calculate the factor of safety against The seepage loss (q) per day per meter length of the (i.e. q in m3/day/m) if the permeability of the soil is k = 10-4 m/sec.arrow_forwardL = 370 mm A = 145 cm^2 h = 340 mm Water collected in 3 min Q = 580 cm^3 Void ratio of sand e= 0.66 Determine the Hydraulic conductivity and seepage velocity.arrow_forward
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