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 9, Problem 9.13P
To determine
Calculate the hydraulic conductivity of the clay.
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Subject: Soil Mechanics
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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 ^-5
Refer to the soil profile shown in figure below. A laboratory consolidation test on the clay gave
the results:
o'c = 100 kPa
Cc = 0.4
Cs = 0.2Cc
If the average effective stress on the clay layer increases by 60 kN/m², what would be the total
consolidation settlement in cm.
Dry sand; e = 0.55 G,= 2.66:
Sand G₂ = 2.66 e = 0.48.
Clay w 34.78% G₂ = 2.74
Rock
1.5 m.
5 m
Water table;
Chapter 9 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A given saturated clay is known to have effective strength parameters of c' = 10 kPa and = 28°. A sample of this clay was brought to failure quickly so that no dissipation of the pore water pressures %3D could occur. At failure it was known that o KPa, o = 10 KPa and = 20 kPa. %3D (a) Estimate the values of o, and oz at failure (b) Use the Mohr circle to illustrate the effective stress and total failure stress.arrow_forwardIn laboratory consolidation tests on a clay specimen (drained on both sides), the following results were obtained:• thickness of clay layer = 25 mm• σ'1 = 50 kN/m2 , e1 = 0.75• σ'2 = 100 kN/m2 , e2 = 0.61• time for 50% consolidation (t50) = 3.1 minDetermine the hydraulic conductivity of the clay for the loading range.arrow_forwardThe laboratory consolidation test is conducted on a clay sample. The following data results were obtained P1 =55 kPa P2 = 130 kPa e1= 0.95 e2= 0.80 Thickness of the sample of clay= 35mm Time for 50% consolidation = 3.0 min Tv= 0.197 a. Find the coefficient of volume compressibility b. Determine the coefficient of consolidation if a sample of clay was drained on both sides c. Compute the hydraulic conductivity of the clayarrow_forward
- The water content of a sample of saturated soil at a mean effective stress of 10 kPa is 85%. The sample was isotropically consolidated with a mean effective stress of 150 kPa. At the end of the consolidation, the water content was 50%. The sample was then isotropically unloaded to a mean effective stress of 100 kPa, and the water content increased by 1%. Given: Gs = 2.7, o'cs = 25°. a) Calculate and K. 10 b) Determine the failure stresses (p'f and gf) under CU test and CD test for the conditions.arrow_forwardAn oedometer test on a saturated clay soil gave the following results: Cc = 0.2 and Cs = 0.04. The in-situ vertical effective stress in the field is 130 kPa. A building foundation will increase the vertical stress in the center of the clay by 150 kPa. The thickness of the clay layer is 2 m and its water content is 28%. Calculate the primary consolidation settlement of the clay layer in the field if: a). OCR = 4.5; b). OCR = 1.5.arrow_forwardA consolidated-undrained triaxial test was conducted on a saturated, normally consolidated clay. The test results areσ3 = 13 lb/in2σ1(failure) = 32 lb/in2Pore pressure at failure = u = 5.5 lb/in2. Determine c, Φ, c', and Φ'.arrow_forward
- 2- An undisturbed clay has a preconsolidation pressure of 200 lb/ft. A laboratory consolidation tests yield the following data: o' (lb/ft') e 0.92 3,130 6,270 0.77 a) Determine the void ratio that corresponds to a pressure of 5,800 (Ib/ft). b) Determine the coefficient of volume compressibility for the pressure range stated. c) If C, = 1 x 10* in?/sec, determine hydraulic conductivity, k in in/sec corresponding to the average void ratio within the pressure range.arrow_forwardA consolidated undrained triaxial test was conducted on a normally consolidated clay. Following are the results of the test: • Cell or Chamber pressure = 200+X kN/m? • Deviator stress at failure = 300+X kN/m? X = 13 a) Determine the consolidated undrained friction angle b) What is the pore water pressure developed in the clay specimen at the end of stage 1 of the test (i.e. consolidation)? c) What is the angle 0 that the failure plane makes with major principal plane? d) Determine the normal stress and shear stress on the failure planearrow_forwardFor a normally consolidated clay, the following are given:The hydraulic conductivity k of the clay for the preceding loading rangeis 1.8 104 ft/day.a. How long (in days) will it take for a 9 ft thick clay layer (drained on one side)in the field to reach 60% consolidation?b. What is the settlement at that time (that is, at 60% consolidation)?arrow_forward
- Refer to the soil profile shown in Figure P2.12. The clay is normally consolidated. A laboratory consolidation test on the clay gave the results: If the average effective stress on the clay layer increase by 50 kN/m2.a. What would be the total consolidation settlement?b. If Cv = 9.36 x 10-4 cm2/sec, how long will it take for half the consolidation settlement to take place?arrow_forwardFor 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 coefficient of consolidation in m2/m. Show free body diagram a.1.081 x 10^-3 b.1.23 x10 ^-5 c.1.31 x 10^-7 d.2.56 x 10^-2arrow_forwardFor a laboratory consolidation test on a clay specimen (drained on both sides), the followingresults were obtained. (7.5)Thickness of the clay layer = 25 mmP1= 100 kN/m2 e1= 0.81P2= 200 kN/m2 e2= 0.73Time for consolidation (t50) = 3.4 minDetermine the hydraulic conductivity of the clay for the loading rangearrow_forward
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