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 7, Problem 7.14P
To determine
Find the hydraulic conductivity of the sand at relative density of 50 %.
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2. 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.
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
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%.
Chapter 7 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 7 - Prob. 7.1PCh. 7 - Prob. 7.2PCh. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - Prob. 7.5PCh. 7 - Prob. 7.6PCh. 7 - Prob. 7.7PCh. 7 - Prob. 7.8PCh. 7 - Prob. 7.9PCh. 7 - Prob. 7.10P
Ch. 7 - Prob. 7.11PCh. 7 - Prob. 7.12PCh. 7 - Prob. 7.13PCh. 7 - Prob. 7.14PCh. 7 - Prob. 7.15PCh. 7 - Prob. 7.16PCh. 7 - Prob. 7.17PCh. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - Prob. 7.20PCh. 7 - Prob. 7.21PCh. 7 - Refer to Figure 7.24. The following data were...Ch. 7 - Prob. 7.23PCh. 7 - Prob. 7.1CTP
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- 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).arrow_forwardThe 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_forwardThe hydraulic conductivity of a sand at a void ratio of 0.62 is0.03 cm/sec. Estimate its hydraulic conductivity at a void ratioof 0.48.arrow_forward
- 2. Estimate the hydraulic conductivity (in cm/sec) of a poorly graded sand with the following characteristics: d100 = 0.425mm, d50= 0.3mm, d30 = 0.25mm, d10= 0.2mm, and do = 0.1mm. Show your work and circle your answer.arrow_forward6.5 Refer to Figure 6.4. For a constant head permeability test in a sand, the following values are given: • L = 350 mm • A= 125 cm² • h = 420 mm • • Water collected in 3 min = 580 cm³ Void ratio of sand = 0.61 Determine: a. Hydraulic conductivity, k (cm/s) b. Seepage velocity dified conarrow_forwardA falling head hydraulic conductivity test is performed on a sample of soil. The following values are given: Length of specimen = 8 in. • Area of soil specimen = 1.6 in^2 • Area of standpipe = 0.06 in^2 • Head difference at time t=0 = 20 in %3D • Head difference at time t=180 sec = 12 in a. Find the coefficient of permeability of soil b. Compute the rate of flow of water in the soilarrow_forward
- PROBLEM B For a constant head laboratory test on a fine sand, the following are the given values: • Length of the specimen • Di ameter of the specimen 14.00 cm 7.60 cm Head difference 42.00 cm Water collected in 3.50 mins 395 cu.cm Void ratio 0.40 A. Compute for the hydraulic conductivity of the soil in cm/sec. B. Determine the discharge velocity through the soil in cm/sec. c. Determine the seepage velocity in cm/sec.arrow_forward(b) The results of a constant head permeability test for a fine sand having a diameter of 90 mm and a length of 160 mm are given as follow. Determine constant head difference water collected in 7 min void ratio of sand = 580 mm = 470 cm³ = 0.8 (i) Hydraulic conductivity in, k in (cm/sec). (ii) Seepage velocity.arrow_forwardbe 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_forward
- For a falling-head permeability test, the following values are given:• Length of specimen 8 in.• Area of soil specimen 1.6 in.2• Area of standpipe 0.06 in.2• Head difference at time t 0 20 in.• Head difference at time t 180 sec 12 in.Determine the hydraulic conductivity of the soil in in./secarrow_forwardPART IV: PERMEABILIT Y PROBLEM A For a constant head laboratory test on a fine sand, the following are the given values : • Length of the specimen • Di ameter of the specimen 14.0 inches 3.25 inches He ad difference 25.0 inches Water collected in 2.50 mins Void ratio A. Compute for the hydraulic conductivity of the soil in in/sec. B. Determine the discharge velocity through the soil in in/sec. c. Determine the seepage velocity in in/sec. 0.065 cubic inches 0.45arrow_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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