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 7.6P
(a)
To determine
Find the hydraulic conductivity k.
(b)
To determine
Find the seepage velocity.
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The results of a constant-head permeability test for a fine sand sample having a diameter of 70 mm and a length of 140 mm are as follows (refer to Figure 7.5):• Constant-head difference = 550 mm• Water collected in 7 min = 450 cm3• Void ratio of sand = 0.8Determine:a. Hydraulic conductivity, k (cm/sec)b. Seepage velocity
HYDRAULIC CONDUCTIVITY
PROBLEM 1:
The results of a constant head
permeability test for a fine sand and
sample having a diameter of 150 mm
and a length of 150 mm are as follows:
Constant head difference = 40 cm
Time of collection of water = 83 sec
Weight of water collected = 392 g
Find the hydraulic conductivity
a. 0.094 cm/sec b. 0.01 cm/sec
C.
c. 0.005 cm/sec d. 0.86 cm/sec
The results of a constant-head permeability test for a fine sand sample having a diameter of 150 mm and a length of 300 mm are as follows
• Constant-head difference = 500 mm
• Water collected in 5 min = 350 cm3
• Void ratio of sand = 0.61
Determine:
a. Hydraulic conductivity, k (cm/sec)
b. Seepage velocity
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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- PROBLEM 2: During a constant-head permeability test on a sand sample, 260 x 10° mm³ of water were collected in 2 minutes. If the sample had a length of 100 mm, a diameter of 40 mm and a maintained head of 200mm. What is its coefficient of permeability? a. 0.769 mm/s b. 0.967 mm/s c. 1.321 mm/s d. 0.862 mm/sarrow_forwardThe results of a constant-head permeability test for a fine sand sample having a diameter of 150 mm and a length of 300mm are as follows; Constant Head Difference = 500mm Time of Collection of Water = 5 min. Volume of Water Collected = 350cm³ Temperature of Water = 25°C Find the hydraulic conductivity for the soil at 20°Carrow_forwardThe results of a constant-head permeability test for a sand sample having a sectional area of 10000mm2 and a length of 200 mm are as follows: (1) Constant head difference 400mm (2) Time of collection of water = 30 seconds (3) Volume of water collected = 600 cm3. The hydraulic conductivity is: Oa. 1.0 mm/sec Ob. 1,7mm/sec c. 2.9 mm/sec O d. 0.5mm/secarrow_forward
- A 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_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_forwardSubject: Soil Mechanics Please provide a solution and a diagram For a laboratory consolidation test on a clay specimen (drained on both sides) the following results were obtained: Thickness of clay soil= 25 mm; P_1 = 50 kPa; P_2 = 120 kPa; e_1 = 0.92; e_2 = 0.78; Time for 50% consolidation= 2.5 min. Tv = 0.197. Determine the hydraulic conductivity of the clay for the loading range in m/min. a. 1.081 x 10^-3 b. 2.56 x 10^-2 c. 1.31 x 10^-7 d. 1.23 x10 ^-5arrow_forward
- The data from a falling-head test on a silty clay are: Cross sectional area of soil = 1000 mm^2 Length of soil sample = 200 mm Area of stand pipe = 40 mm^2 Head difference at time t = 0 is 500 mm Head difference at time t = 3 min is 300 mm a) Determine the hydraulic conductivity of the soil in cm/sec. b) What is the head difference at time t = 100 sec in mmarrow_forwardA CD test was conducted on a sample of dense sand 37 mm in diameter × 77 mm long. The cell pressure was 200 kPa. The results are shown in the table below. Axial displacement (mm) 0 0.3 0.6 1.0 1.3 1.6 1.9 3.2 5.2 6.4 7.1 9.7 12.9 15.5 Axial load (N) 0 128.1 225.9 338.9 451.8 508.3 564.8 604.3 593.0 576.0 564.8 525.2 497.0 480.0 (a) Using the data in the table, plot the Deviatoric stress (y-axis) against axial strain (x-axis) graph. (b) Using the graph from (a), draw the Mohr-circle at the peak (i.e., the maximum deviatoric stress). Determine the principal stresses as well. (c) Provided that the sample is sand, draw a failure envelope on the Mohr circle from (b) and determine the friction angle (p').arrow_forwardFor a falling-head permeability test, the following values are given: Length of specimen = 200 mm %3D Area of soil specimen = 1000 mm^2 %3D Area of standpipe = 40 mm^2 Head difference at time t = 0 = 500 mm Head difference at timt t 180 seconds = 350 mm %D %3D Determine the hydraulic conductivity of the soil in x10 4 cm secarrow_forward
- The results of a constant-head permeability test for a fine sand sample having a diameter of 150 mm and a length of 300 mm are as follows: constant head difference = 500 mm, water collected in 5 min = 350 cm3, void ratio of sand = 0.61. Determine the hydraulic conductivity.arrow_forwardThe results of a constant head permeability test for a fine sand are as follows: Diameter of the sample = 31 cm Length of sample = 98 cm Constant head difference = 52 cm Time of collection = 364 secs Weight of water collected = 448 grams Find the seepage velocity in cm/min. if the void ratio is 0.33. Round off to four decimal places. Answer: 0.3943arrow_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_forward
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