Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Question
Chapter 8, Problem 8.14P
To determine
Find the upward seepage force per unit volume of soil.
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Example 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 m
7. 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 10-³
Soil layers are shown as the right figure. Given:
H₁ = 2 m, k₁ = 10-4 cm/sec
H₂ = 3 m, K₂ = 3.2 x 10-² cm/sec
H₂ = 4 m, K₂ = 4.1 x 10-5 cm/sec
Estimate the ratio of horizontal equivalent hydraulic
conductivity and vertical equivalent hydraulic
conductivity, i.e., k./k₂
T
*
H₂
H₂
a. 152
Ob. 270
O c. 140
O d. 225
k₁
k₂
k3
Chapter 8 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 8 - Prob. 8.1PCh. 8 - Prob. 8.2PCh. 8 - Prob. 8.3PCh. 8 - Prob. 8.4PCh. 8 - Prob. 8.5PCh. 8 - Prob. 8.6PCh. 8 - Prob. 8.7PCh. 8 - Prob. 8.8PCh. 8 - Prob. 8.9PCh. 8 - The soil profile at a site consists of 10 m of...
Ch. 8 - Prob. 8.11PCh. 8 - Prob. 8.12PCh. 8 - Prob. 8.13PCh. 8 - Prob. 8.14PCh. 8 - A sand has Gs = 2.66. Calculate the hydraulic...Ch. 8 - Prob. 8.16PCh. 8 - A point load of 1000 kN is applied at the ground...Ch. 8 - Point loads of magnitude 9, 18, and 27 kN act at...Ch. 8 - Refer to Figure 8.13. The magnitude of the line...Ch. 8 - Refer to Figure 8.24. Determine the vertical...Ch. 8 - Consider a circularly loaded flexible area on the...Ch. 8 - A flexible circular footing of radius R carries a...Ch. 8 - The plan of a flexible rectangular loaded area is...Ch. 8 - Refer to Figure 8.26. The circular flexible area...Ch. 8 - Refer to Figure 8.27. The flexible area is...Ch. 8 - Prob. 8.26CTPCh. 8 - Prob. 8.27CTP
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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.arrow_forwardunconfined aquifer underlies An confined a aquifer as shown in the figure. a. Compute coefficient flow in the horizontal direction. equivalent of permeability for the 42 m k = 35 m/day 57 m 40 m k = 25 m/day 33 т b. What hydraulic gradient? is the value of the 2000 m c. Compute the rate of flow of water from meter width. one stream to another perarrow_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_forward
- Referring to Figure Q3, calculate the following quantities: a. Elevation head, total head, and pressure head at point M on Figure Q3. b. The quantity of water seeping through the dam of Figure Q3 per day. The hydraulic conductivity of the soil is 10-8 Boundary equipotentials Na = 9 N = 3 Boundary flowlines %3D 10 m %3D 12 m 6 m M A (11 m7 m 1 m 2 m Fig. Q3: Earth Damarrow_forwardEstimate the equivalent hydraulic conductivity for flow in the horizontal direction. Also calculate the ratio of kv(eq)/kH(eq). Suppose that k1 = 15 x10^-4 cm/s, k2= 5.0x10^-4 cm/s, k3= 3.0 x10^-4 cm/s, k4= 2.0 x10^-4 cm/s, H1= 1.0 m, H2 = 2.0 m, H3 =1.5 m, H4 =1.0m. kH(eq) = kV(eq)/kH(eq)=arrow_forwardConsider the hydraulic structure shown in the figure below. In the flow net for flow through the permeable layer, the number of flow channels is Nf = 5 and the number of potential drops is Ng = 12 Calculate the seepage loss. 25 m 10 m 1.67 m 3.34 m 20 m k = 0.002 cm/sec 1.67 m 1.67 m Permeable layer | Impermeable layer Select the correct response: 7.21 m3/day/m O 2.17 m/day/m 6.28 m3/day/m O 6.82 m/day/m 11arrow_forward
- Question 2 Refer to Figure 2 below. If the water surface elevation in reservoir B is 110 m, what must be the water surface elevation in reservoir A if a flow of 0.06 m³/s is to occur in the cast-iron pipe (ks = 0.26 mm)? The kinematic viscosity of water at 10°C = 1.3x10-6 m²/s. Ignore all minor headlosses. Elevation = ? Water T= 10°C Elevation = 110 m B L= 150 m D = 15 cm Cast-iron pipe L=100 m, D = 20 cm, cast-iron pipe Figure 2arrow_forward7.5 A pervious soil layer is sandwiched between two impervious layers as shown in Figure 7.31. Find the rate of flow in m³/sec/m (at right angles to the cross section) through the pervious soil layer. Given: H = 3.5 m, H, = 1.75 m, h = 2.5 m, S = 28 m, a = 12°, and k = 0.055 cm/sec. Direction of flow Impervious layer Figure 7.31 Impervious layer Sarrow_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_forward
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