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 8.12P
To determine
Find the seepage rate through the earth dam using Pavlovsky’s solution.
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8.12 An earth dam section is shown in Figure 8.28. Determine the rate of seepage
through the carth dam using Pavlovsky's solution. Use k- 4x 10 mm/s.
Critical Thinking Problem
8.C.I Refer to Problem 8.12. Given Ak = 4x 10 m/min and k =1X 10 m/min.
An earth dam is shown in the figure below. Determine the seepage rate. Given: a1=48 degrees, a2= 30 degrees, L1=6m, H 17m, H1=21m and k=0.007 cm/s. Use L.Casagrande Method
Refer to the cross section of the earth dam shown in the figure. Calculate the rate of seepage through the dam (q in m3/ min / m) using L.
Casagrande's method.
K 5 m
1V: 2H
30 m
1V: 2H
25 m
k = 3 x 10-4 m/min
Impermeable layer
Select the correct response:
5.91 x 103 m/min/m
2.37 x 103 m3/min/m
11.4x 104 m/min/m
29.5 x 104 m3/min/m
Chapter 8 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- * The cross-section of an earth dam is shown in figure below. Assuming that the water level remains constant at 35m, determine the seepage loss through the dam. The width of the dam is 300m, and the soil is anisotropic with k=8.3*107 m/s and k, =3.2 10“ m/s. determine the seepage loss through the dam? 50m 35 m Filler Som 20m 20 m 30 m (a) The problem (bị Fiow netarrow_forwardRefer to the cross section of the earth dam shown below. Calculate the rate of seepage through the dam (q in m/min/m) using Schaffernak's and Casagrande's solutions. +7 m→| 3 m G.W.T. 1 32 m 2.0 2.0 Impermeable layerarrow_forwardExample 2: A soil sample with 10 cm in diameter is placed in a tube 1 m long. A constant supply of water is allowed to flow into one end of the soil at A and flow out at B is collected by beaker. The average amount of water collected is 1 cm3 for every 10 seconds. The tube is inclined as shown in the figure. Determine: a. Hydraulic gradient b. Flow rate lisiya im University of Al- c. Average velocity d. Seepage velocity if e = 0.6 Of e Engine I m e. The hydraulic conductivity Soil 1 m 0.8 marrow_forward
- Problem 4: An inclined permeameter tube is filled with layers of soil of different permeability as shown below. Find the total head, elevation head and pore water pressure at points (A-B-C-D) with respect to the given datum, Given: 1.5k1=2k2=3k3=k4 k4=2x10-3 cm/sec 35 сm 9 cm K4 K3 K1 K2 15 cm 11 cm 7 cm 4 cm Datum شاشة 4cmarrow_forwardQ.1. The figure below shows the flow net for seepage under a concrete dam. The is silty sand with coefficient of permeability of 4X104 cm/sec, a void ratio of 0.6 and specific gravity of 2.7. The height of water upstream is H=( 6+) (a) Determine the flow rate under the dam in m/day per m length of the dam. (b) Determine the water pressure distribution at the base of the dam. (Select 3 points under the base. Comment on your results. m (where X is your group number). (c) From (b), calculate the resultant uplift force and its location from the upstream face of the dam. Also, calculate the weight of the dam to prevent uplift using a factor of safety of 5. (d) What is the factor of safety against piping? Is the dam safe? (e) Calculate the total vertical overburden stress, pore water pressure and the effective vertical overburden stress at Points A and B. Comment on your results. H 17.5 m 1.25 m x B 4 m Impervious clayarrow_forwardAn earth dam is shown in (Figure 1). Determine the seepage rate, q, in m³/day/m Length using Schaffernak's method. Given: a₁ cm/sec. 35, a₁ = 40, L₁= 5m, H = 7m, H₁ = 10m, and k = 3 × 10-4 +44 Water level = Impervious base H₁arrow_forward
- 9.5 A cut is made in stiff saturated clay that is underlain by a layer of sand. (See Figure 9.10). What should be the height of the water, h, in the cut so that the stability of the saturated clay is not lost? Saturated clay Pat= 1900 kg/m H= 5 m 7 m 3.0 m Sand 2 m Pai = 1800 kg/marrow_forward7. The figure shows the layers of soil in the tube that is 10 cm by 10 cm in cross section. When the tube is supplied with water, a constant head difference of 30 cm is observed. A B 30 cm с Sample 15 cm 20 cm 25 cm a. Find the equivalent coefficient of permeability. b. Determine the hydraulic gradient. c. Compute the rate of water supply (in cm³/s). K (cm/sec) 2 x 10-³ 3 x 10-³ 4 x 10-³arrow_forwardA falling head hydraulic conductivity test is performed on a sample of soil. The standpipe having a diametre of 0.2 cm is observed and it takes 60 seconds for the water to drop by 50 cm from an initial hydraulic head of 90 cm. The sample has a lenght of 20 cm and a diameter of 4 cm. A. Find the coefficient of permeability of soil. B. Solve for the hydraulic gradient. C. Compute the rate of flow of water in the soil.arrow_forward
- 6. The sludge hopper of a sedimentation tank is approximated as a truncated square prism provided with an orifice of 100 mm dia. at its bottom as shown in the figure. The sludge is being discharged through the orifice Determine the time taken for emptying the hopper. Assume Cd=0.62. 2m 1m E im -arrow_forwardThe dam shown has a base of which 2 m. below the ground surface. The pressure distribution diagram at the base of the dam can be obtained from the equipotential lines as follows: P +15 m K = 4.5 m/day. If H = 8 m, Determine the seepage through the foundation Select the correct response: 10.29 m/day 65.33 m/day 13.71 m/day 27.88 m3/dayarrow_forward5. The coefficient of permeability of a sand at a void ratio of 0.62 is 0.03 cm/sec. Estimate the coefficient of permeability at a void ratio of 0.48. Using Casagandre equation Using Kozeny-Carman equation Find the difference in the rate of flow using the results of “a” and “b” if i = 0.70 and A = 0.6 m2.arrow_forward
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