Principles of Foundation Engineering, SI Edition
8th Edition
ISBN: 9781305446298
Author: Braja M. Das
Publisher: Cengage Learning US
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Chapter 2, Problem 2.11P
(a)
To determine
Find the hydraulic conductivity.
(b)
To determine
Find the hydraulic conductivity.
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PART 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
0.45
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).
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
Chapter 2 Solutions
Principles of Foundation Engineering, SI Edition
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Prob. 2.6PCh. 2 - Prob. 2.7PCh. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10P
Ch. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - Prob. 2.14PCh. 2 - Prob. 2.15PCh. 2 - For a normally consolidated soil, the following is...Ch. 2 - Prob. 2.17PCh. 2 - Prob. 2.18PCh. 2 - Prob. 2.19PCh. 2 - Prob. 2.20PCh. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26PCh. 2 - Prob. 2.27P
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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.arrow_forwardCVE 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- PROJECEarrow_forwardFor 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_forward
- 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/secarrow_forward11. The range of water content between the liquid and plastic limits is termed as: A. liquid limit B. plasticity index C. plastic limit D. shrinkage limit 12. A container of volume 3.25 x 10-3 m³ weighs 10.8 N. Dry sand was poured to fill the container. The container and the sand weigh 62.5 N. Calculate the porosity of the sand. Assume Gs = 2.72. A. 67.74% C. 43.56% B. 40.38% 0 mod D. 54.25%arrow_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
- 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[Seepage] tank shown below. For the sand, the following properties are given: e = 0.40 , G.S = 2.67 . Calculate the effective stress at A. a. Consider the upward flow of water through a layer of sand in a 1.2m Overflow 0.7 m Sand z = 0.9m 2 m Inflowarrow_forward1. 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.arrow_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_forwardProblem 4. A sample of sand is tested in a constant head permeameter. The sample diameter is 50 mm and its length is 120 mm. Under an applied head of 60 cm, 113 cm³ flows through the sample in 5 minutes. The Mof the sample is 385 grams. Calculate: a. the Darcy coefficient of permeability (k) b. the discharge velocity (v) c. the seepage velocity (v₁)arrow_forwardFor a constant head laboratory permeability test on fine sand, the following values are given: Length of specimen, L = 16inches Diameter of specimen, D = 3inches Head difference, h = 23inches Water collected in 120 seconds = 0.057cu.in Void ratio, e = 0.38 a. Determine the hydraulic conductivity (in/min) of the soil. b. Determine the discharge velocity (in/min) through the soil. c. Determine the seepage velocity (in/min) Please answer this asap for upvote. Thank you in advancearrow_forward
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