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 8.1CTP
To determine
Find the seepage rate through the earth dam using Schaffernak’s solution.
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Refer to Problem 8.4. Using the flow net drawn, calculate the hydraulic uplift force at the base of the hydraulic structure per meter length (measured along the axis of the structure).8.24 For the hydraulic structure shown in Figure 8.24, draw a flow net for flow through the permeable layer and calculate the seepage loss in m3/day/m.
For 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.
An earth dam is shown in the figure below Determine the seepage rate, q, in m^3/day/m length. Given: α1=35°, α2=40°, L1=5 m, H=7 m, H1=10 m, and k= 3x10^4 cm/sec.
Chapter 8 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- Given: velocity of flow = 0.0375 m/s coefficient =0.05 m/s porosity p =48% slope S = 3/4 The soil porosity in the area where the 46-cm diameter well is 48%, find the discharge of the groundwater. Given the coefficient =0.05 m/s and porosity p =48%, find the transmissibility (T) in m/s per unit m, if the aquifer width is 1.2 m. Given the discharge Q get in Question #1, transmissibility T in Question#2, slope S = 3/4; find the aquifer width X.arrow_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_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_forward
- (Question: 4: A well with a storage coefficient of 0.05 m/s has a slope define by rise = 3 and run = 4. Find the velocity of flow using Darcy’s equation.)The soil porosity in the area where the 46-cm diameter well in Question#4 is 48%, find the discharge of the groundwater.arrow_forwardThe section of a concrete gravity dam with its flow net diagram is shown in Pigure 10.38. The coefficient of permeability of the soil (anistropic) in the vertical and horizontal directions are 0.25 m/day and 0.58 m/day, respectively. The length of dam perpendicular to the paper is 120 m. 1. Determine the number of pressure drops 2. Determine the seepage loss 3. Determine the total amount of water percolated in one year.arrow_forwardIn the case of a rectangular channel 3 m wide and 1 m deep, the value of Bazin's constant is 1.75 for earthen channel in rough condition. using the above values, determine the hydraulic radius. Calculate the value of the Chezy’s constant. For a bed slope of 1/2500, find the flow rate.arrow_forward
- Refer to Figure 6.14. Find the flow rate in m3 /s/m length (at right angles to the crosssection shown) through the permeable soil layer given H = 3 m, H1 = 2.5 m, h = 2.8 m, L = 25 m, a = 10°, and k = 0.04 cm/s.arrow_forwardGiven the discharge Q in Question#5, transmissibility T in Question#6, slope S in Question#4; find the aquifer width X. Question 4: A well with a storage coefficient of 0.05 m/s has a slope define by rise = 3 and run = 4. Find the velocity of flow using Darcy’s equation. Question 5: The soil porosity in the area where the 46-cm diameter well in Question#4 is 48%, find the discharge of the groundwater. Question 6: Given the coefficient k in Question#4 and porosity p in Question#5, find the transmissibility (T) in m/s per unit m, if the aquifer width is 1.2 m.arrow_forwardTake note: Answer and write your solution on a clean paper clearly. During a flood flow the depth of water in a 12 m wide rectangular channel was found to be 3.5 m and 3.3 m at two sections 300 m apart. The drop in the water-surface elevation was found to be 0.18 m. Assuming Manning’s coefficient to be 0.023, determine the following: a. Average value of k? b. Estimate the flood discharge through the channel ?arrow_forward
- Find the rate of flow in m^3/sec/m (at right angles to the cross-section shown in Figure 7.33) through the permeable soil layer. Given: H 4 m, H1 2 m, h 2.75 m, S 30 m, a 14°, and k 0.075 cm/sec.arrow_forward9. From the figure shown: (See picture below) Cross-sectional area = 0.6m2 Hydraulic Conductivity of sand = 0.1 cm/sec What is the rate of upward seepage of water? (Answer: 360 cm3/sec) What would be the critical hydraulic gradient? (Answer: 1.12 m) What value of h to cause boiling? (Answer: 2.8 m)arrow_forward11. A channel runs almost parallel to a river as shown in the figure. The water level in the river has an elevation of 36 m. and the elevation of the channel is 33 m. The river and channel are 600 m apart and a previous formation of the average thickness of 9 m and hydraulic conductivity of 0.80 m/hr joints them together. Compute the hydraulic gradient Compute the rate of seepage flow from the river to the channel per meter width in liters per day. If the seepage velocity is 0.048 m/day, compute the void ratio of the previous medium.arrow_forward
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