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 9, Problem 9.6P
To determine
Find the hydraulic gradient
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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 ?
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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 ?
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- 3. 797
GRAIN SIZE DISTRIBUTION GRAPH. A-
PROJECE
From 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.
2.11 A sand has the following: D10 = 0.2 mm, Dø = 0.4 mm, and void ratio e = 0.6.
a. Determine the hydraulic conductivity using Eq. (2.38).
b. Determine the hydraulic conductivity using Eq. (2.40).
Chapter 9 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- be the hydraulic conductivity at 20°C? Ans. 1.0 x 10 cm/sec 4. For a normally consolidated clay, the following values are given. k(cm/sec) 0.45 x 10 e 0.78 1.1 0.88 x 10 Estimate k at a void ratio of 0.97 6.0089 107arrow_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_forwardProblem (5) A layered soil is shown in following figure. a) Estimate the hydraulic conductivity for flow in the vertical direction. b) Estimate the equivalent hydraulic conductivity for flow in horizontal direction. c) calculate the ratio of ky(eg) /kh(eq) 1 m k = 10-3 cm/sec 1 m k = 2 × 10-4 cm/sec 1 m k = 10 cm/sec 1 m k = 2 × 10¬³ cm/secarrow_forward
- At n = 0.45, the hydraulic conductivity of the sand is 0.010 cm/sec. Determine the hydraulic conductivity at n = 0.50.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_forward2. Situation 2 - For a constant laboratory permeability test on a fine sand, the following data are given: Length of specimen = 16 cm Diameter of specimen = 96 mm Constant Head Difference = 50 cm Volume of water collected in 4 min = 420 cc Void ratio of the soil specimen = 0.55 a. Determine the hydraulic conductivity of the soil in m/min. Round off to four decimal places. b. Determine the discharge velocity in m/min. Round off to four decimal places. c. Determine the seepage velocity in m/min. Round off to four decimal places.arrow_forward
- For a sandy soil, the following are given: • Maximum void ratio = 0.72 • Minimum void ratio = 0.46 • Hydraulic conductivity at a relative density of 80% = 0.006 cm/sec. Determine the hydraulic conductivity of the sand at a relative density of 67%.arrow_forwardProblem 5 From 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 m² and hydraulic conductivity of sand = 0.1 cm/s. 1. What is the rate of upward seepage in m3/hour? 2. Determine the critical hydraulic gradient for zero effective stress. 3. Determine the value of h to cause boiling. 4. Determine the value of x. h=1.2 m H₁=1 m z =0.8 H₂=2 m In flow Soil C B H₂O valve open Karrow_forwardbe the hydraulic conductivity at 20 Docs A20 pe 4. For a normally consolidated clay, the following values are given. k (cm/sec) 0.45 x 106 0.78 1.1 0.88 x 106 Estimate k at a void ratio of 0.97arrow_forward
- The hydraulic conductivity of a sand at a void ratio of 0.750 is 0.047 cm/s. Estimate the coefficient of permeability at a void ratio of 0.450 1. Using Casagrande equation 2. Using Kozeny-Carman equationarrow_forward2. Consider the stratified soil deposit shown in the figure. There are four layers, 3m thick each, and kH1=2x10³, kH2=1x105, kµ3=2x104, kH4=1x10³in cm/sec. Determine the equivalent coefficient of permeability in the horizontal direction and the total flow in cm3/sec per cm width. H Direction of flowarrow_forwardCalculate the total stress, pore water pressure and effective stress at point A, D, and C. If the groundwater table drops 1 m, calculate the effective stress at point C. Will the effective stress increase or decrease? 6m Dry sand G₂=2.68 e = 0.55 Groundwater table B Saturated sand 13m G₁ = 2.75 e = 0.85 76arrow_forward
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