Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Question
Chapter 9, Problem 9.11P
(a)
To determine
Find the rate of upward seepage.
(b)
To determine
Explain whether the boiling occurs at 15 m.
(c)
To determine
The critical value of h to cause boiling.
The critical value of h to cause boiling is
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The rate of upward seepage taking place through a granular soil contained in a tank is
976.5 cm3/sec. Given that H1 = h = 1.8 m, the area of the tank = 0.62 m?, void ratio of the
soil = 0.55, the specific gravity is 2.65, and the hydraulic conductivity of the sand is 0.21
cm/sec, determine the following:
a. The hydraulic gradient.
b. Length of H2.
c. The critical hydraulic gradient of the soil sample.
d. If boiling will occur at h = 2.5 m? Justify your answer by showing the appropriate
comparison by solving.
e. The value ofh to cause boiling.
(あ)。
H,
H1
H2
Valve (open)
Inflow
The rate of upward seepage taking place through a granular soil contained in a tank is
976.5 cm³/sec. Given that H1 = h = 1.8 m, the area of the tank = 0.62 m², void ratio of the
soil = 0.55, the specific gravity is 2.65, and the hydraulic conductivity of the sand is 0.21
cm/sec, determine the following:
a. The hydraulic gradient.
b. Length of H2.
c. The critical hydraulic gradient of the soil sample.
d. If boiling will occur at h = 2.5 m? Justify your answer by showing the appropriate
comparison by solving.
e. The value ofh to cause boiling.
(は)
A
H2
Valve (open)
Inflow
CVE 331: Theoretical hydraulic conductivity calculation
Problem 1: The hydraulic conductivity of a sandy sol is 7x10 cm/sec at void ratio 0.68. What is the
hydraulic conductivity at void ratio 0.85 ?
(o.re)
A= 2,42e
k2
ei
Problem 2: The hydraulic conductivity of a clay soil is 121o* cm/sec at void ratio 0.56, and 3.1x10
cm/sec at void ratio 0.74. What is the hydraulic conductivity the soll at void ratio 0.65 ?
e3
ki
%3D
- 3. 797
GRAIN SIZE DISTRIBUTION GRAPH. A-
PROJECE
Chapter 9 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- A sand has Gs = 2.66. Calculate the hydraulic gradient that will cause boiling for e = 0.35, 0.45, 0.55, 0.7, and 0.8.arrow_forwardFrom the figure shown, H₁ = 0.60, H₂ = 0.90 m. and h = 0.45 m. The sand has a saturated unit weight of 18.65 KN/m³. Hydraulic conductivity of sand K= 0.12 cm/sec. If the cross sectional area of tank = 0.46 m², determine the rate of upward seepage of water in liters /sec. h=0.45m T H₂=0.60 m H₂-0.90 m Direction of flow H₂O Sand ILGS G valve openarrow_forwardFor a falling head permeability test, these valueare given: Length of the soil specimen = 200 mm Area of the soil specimen = 1000 mm2 Area of the standpipe = 40 mm2 Head difference at time, t = 0 min is 500 mm Head difference at time, t = 3 min is 300 mm1. Determine the hydraulic conductivity of thesoil in cm/sec.2. What was the head difference at time, t =100 sec?arrow_forward
- 1. For a constant head laboratory permeability test on a fine sand, the following values are given: L = 300 mm; D₁ = 200 mm; h = 400 mm; Vol = 420 m³; t = 4 min; e = 0.55. a. Compute the coefficient of permeability in cm/sec. b. Compute the discharge velocity in cm/sec. c. Compute the velocity. seepage 2. For a falling head permeability test, the following are given. Length of specimen is 380 mm, are of specimen - 6.5 cm², hydraulic conductivity of soil specimen is 0.175 cm/min. a. What should be the area of the stand pipe for the head to drop from 650 cm to 300 cm in 8 min?arrow_forward2а.) | 15% For a falling-head permeability test, the following are given: • Length of the soil specimen= 20 in. Area of the soil specimen = 4 in.? Area of the standpipe = 0.2 in.? Head difference at time t = 0 is 30 in. Head difference at time t = 10 min is 12 in. Determine the hydraulic conductivity of the soil (in./min). What was the head difference at time t = 5 min?arrow_forwardRefer to the figure. If H1 = 1.94 m, H2 = 2.37 m, h = 1.c m, e =0.49, Gs = 2.67,area of the tank = 0.64 m2, and hydraulic conductivity of the sand (k) = 0.3d cm/sec. What is the upward seepage force per unit volume of soil?arrow_forward
- For the figure shown below, if the area of the tank is 0.5 m² and hydraulic conductivity of sand is 0.1 cm/sec. a. What is the magnitude and direction of the rate of seepage? b. If the value of h=1.2m, will boiling occur? Why? c. What should be the value of "h" to cause boiling? Outflow Inflow 1m 2m A B h = 1.2m e = 0.55 G=2.68 Valve (open)arrow_forwardFrom the figure shown, the void ratio of the sand is 0.55 with a specific gravity of 2.68. The cross-sectional area of the tank is 0.5 sq.m and hydraulic conductivity of sand = 0.1 cm/s. a. What is the rate of upward seepage in cu.m/hour? b.Determine the critical hydraulic gradient for zero effective stress. c. Determine the value of h (head loss) to cause boiling. NEED ASAP. THANK YOU.arrow_forwardA glass container with pervious bottom containing fine sand in loose state (void ratio = 0.8) is subjected to hydrostatic pressure from underneath until quick condition occurs in the sand. If the specific gravity of sand particles = 2.65, area of cross-section of sand sample= 10 cm2 and height of sample = 10 cm, compute the seepage force in N acting from below. a. 9.17. b. 0.9 c. 0.45 d 7.29arrow_forward
- Figure 1.11 Practice Problem 2: Refer to Figure 1.12. If Hi = 1.5 m, H2 = 2.5 m, h = 1.5 m, e =0.49, Gs = 2.66, area of the tank = 0.62 m², and hydraulic conductivity of the sand (k) = 0.21 cm/sec. a. What is the rate of upward seepage of water (m³/min)? b. Will boiling occur when h = 1.5 m? c. What would be the critical value of h to cause boiling? %3D %3D %3D 南) H H2 Valve (open) Inflow Figure 1.12arrow_forwardFor the flow net shown below, the soil is isotropic having a permeability of 0.002 cm/sec, an average void ratio of 0.6 and G,= 2.65. Determine the following: - a. The flow rate in m'/day/m length. b. The pore-water pressure at point A. 3.0 m 1.5 m 4.5 m 3.0 m 6.0 m impermeable stratumarrow_forward2. For a falling head permeability test, the following are given. Length of specimen is 380 mm, are of specimen = 6.5 cm², hydraulic conductivity of soil specimen is 0.175 cm/min. a. What should be the area of the stand pipe for the head to drop from 650 cm to 300 cm in 8 min? b. Compute the the interstitial velocity under the test condition if the soil specimen has a void ratio of 0.50 in cm/sec. the head difference at time equal to 6 min. c. Computearrow_forward
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