Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 6, Problem 6.10P
To determine
Find the hydraulic conductivity of sand in the field (k).
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1. For a constant head laboratory permeability test on a fine sand, the following values are
given:
Length of specimen, L = 10 inches
Diameter of specimen = 2.5 inches
Head difference, h = 22 inches
Water collected in 2 minutes = 0.044 in
%3D
Soil specimen
The void ratio of the specimen is 0.34.
Determine the conductivity, k, of the soil in in/min.
b.
Ps ne
a.
Determine the discharge velocity through the soil in
in/min.
Determine the seepage velocity in in/min.
Measuring
hurket
C.
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 equation
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.
Chapter 6 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- The 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_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_forwardPROBLEM 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
- 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_forwardFor a constant head laborátory permeability test on a fine sand, the tollowinK values are given: (Refer to Figure Figure 03.13) Length of specimen,L= 10 inches Diameter of specimen = 2.5 inches Head difference, h = 22 inches Water collęcted in 2 min = 0.044 in' l'he void ratio of the specimen is 0.34. a) Determine the conductivity, k, of the soil in in/min. b) Determine the discharge velocity through the soil in in/min e) Determine the seepage velocity in in/min. %3D Porous stone t Soil specimen Porous stone Graduated flaskarrow_forward1.) For a constant head laboratory permeability test on a fine sand. Thefollowing values are obtained:Length of Specimen, L = 10 inchesDiameter of Specimen = 2.5 inchesHead difference, h = 2.5 inchesWater collected in 2 mins = 0.044 in3 The void ratio of the specimen is 0.34.Compute the following:a) Hydraulic Conductivity of the soil in in/minb) Discharge Velocity in in/minc) Seepage Velocity in in/min 2.) A series of direct shear test was performed on a soil sample. Thedata for the experiments are tabulated as follows: Specimen No. Normal Stress (kPa) Shearing Stress (kPa) 1 200 450 2 400 520 3 600 590 4 1000 730 a) Compute the cohesion of the soil.b) Compute the angle of internal friction.arrow_forward
- 5. For a constant head laboratory permeability test on a fine-sand, the following values are given: Length of specimen, L = 10 inches Diameter of specimen = 2.5 inches Head difference, h = 22 inches Water collected in 2 min = 0.011in? Void ratio = 0.34. Determine the conductivity, k, of the soil in inches/min and the discharge velocity through the soil in inches/min. Porous stone Soll specimen Porous stone Graduated flaskarrow_forward2. A specimen (50 mm diameter and 100 mm height) of moist sand weights 3.31 N. Its dry weight is 3.0 N and the specific gravity of the solids is 2.65. Given the maximum and the minimum void ratio of the sand emax = 1.05 and emin = 0.65, respectively. (a) Determine the relative density of the sand. (b) Calculate the saturated unit weight and the effective (or buoyant) unit weight of the sand. (c) Use your own words to describe the meaning of effective (or buoyant) unit weight of the soil.arrow_forward2.11 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_forward
- For a constant head laboratory permeability test on a fine sand, the following are given: Length of specimen = 250 mm Dia. of specimen = 62.5 mm Head difference = 450 mm Water collected in 2 min. = 484 cu.mm Determine the discharge velocity in mm/sec. 0.0789 mm/sec 0.001315 mm/sec 4.734 mm/sec 0.0438 mm/secarrow_forwardFor 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_forward6. The maximum dry unit weight determined in the laboratory for a quart sand is 102 lb/ft3. In the field, the relative compaction is 90%. Specific Gravity of Sand is 2.70. Determine the void ratio at the maximum dry unit weight condition. Determine the void ratio of the sand in the field condition. Determine the hydraulic conductivity of the sand in the field condition if the hydraulic conductivity of the sand at the maximum dry unit weight condition is 0.30 cm/sec. Using Kozeny-Carman equation.arrow_forward
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