Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Question
Chapter 11, Problem 11.12P
(a)
To determine
Calculate the void ratio that corresponds to a pressure
(b)
To determine
Calculate the void ratio at a pressure of
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1. The pressure versus void ratio data determined from a consolidation test on an undisturbed
clay specimen are as follows:
Applied
Pressure
(kPa)
20
40
80
160
320
640
1280
320
80
20
0
Void
Ratio
0.953
0.948
0.938
0.920
0.878
0.789
0.691
0.719
0.754
0.791
0.890
(a) Plot this pressure versus void ratio data on a semi-logarithmic graph.
(b) Determine the equations for the virgin compression curve and for the rebound curve for
unloading starting at 1,280 kPa.
(c) What are the corresponding compression and recompression indices for this soil?
(d) Estimate the stress to which this clay has been preconsolidated. (After A. Casagrande.)
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.
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.
Chapter 11 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- In a normally consolidated clay specimen, the following data are given from the laboratory consolidation test. e₁ = 1.10 σ= 65.0 kN/m² €₂ = 0.85 o₂ = 240.0 kN/m² a. Find the compression index C. b. What will be the void ratio when the next pressure incre- ment raises the pressure to 460.0 kN/m²?arrow_forwardFind the C, and the "apparent" OCR for a superficial clay stratum that is 4m thick. The water is at the surface. A sample of the clay has a water content of 27.9%, and a specific gravity of 2.65. An oedometer test showed the following results: Voids Ratio 0.736 0.733 0.73 0.675 0.638 0.6 Vertical Effective Stress 15 28 60 230 480 930arrow_forwardA normally consolidated clay has the following values. Void ratio, e k (cm/sec) 1.5 0.2 x 10-6 0.91 x 10-6 Estimate the magnitude k of the clay at a void ratio (e) of 0.9. Use 1.9 en k = C, 1+e (Enter your answer to three significant figures.) k cm/secarrow_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_forwardThe laboratory consolidation data for an undisturbed clay specimen are as follows: e1 = 1.12 P₁ = 90 kPa e2 = 0.90 P2 = 450 kPa 1. Compute the value of the compression index. 2. Compute the value of the swell index assuming it is equal to 1/6 the value of the compression index. 3. Compute the void ratio for a pressure of 600 kPa. 4. Compute the coefficient of compressibility. 5. Compute the value of the coefficient of volume compressibility.arrow_forwardPart #2 The following are the results of laboratory consolidation test conducted on clayey soil sample. Determine, graphically, the compression and recompression indices, Cc, Cr of this soil. Using Casagrande's method, determine graphically the preconsolidation pressure. Effective Stress (kPa) Void Ratio (%) 27 1.24 1.21 1.15 1.08 0.99 1.00 1.01 1.02 54 107 214 429 214 107 54arrow_forward
- A 75 mm diameter clay specimen was consolidated in an oedometer under 200 kPa. At the end of consolidation, the void ratio is 0.863 and the specimen thickness is 18.51 mm. When the stress increment of 200 was added to the current vertical stress of 200 kPa, the specimen consolidated to a thickness of 17.56 mm. Assuming that the clay was normally consolidated under the vertical stress of 200 kPa, find the a) coefficient of volume compressibility in (MPa)^-1 and rounded to the 3rd decimal place.b) and the compression index of the clay rounded to the 2nd decimal place.arrow_forwardThe following consolidation test data were obtained from an undisturbed clay specimen. Pressure (kPa) Void ratio 20 0.958 40 0.948 80 0.938 160 0.92 320 0.878 640 0.789 1280 0.691 320 0.719 80 0.754 20 0.791 1 0.89 (a) Plot the void ratio vs. the consolidation pressure curve on semilogarithmic graph paper, and estimate the pre-consolidation pressure o. (b) Determine the compression index C, for the virgin compression and the rebound index C, for the unloading starting at 1280 kPa. (c) Calculate the coefficient of volume compressibility m, for the virgin compression.arrow_forwardThe coefficient of permeability of a sand at a void ratio of 0.62 is 0.03 cm/s. Estimate the coefficient of permeability at a void ratio of 0.48 using Casagrande equation.arrow_forward
- 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;arrow_forwardPart #2 Effective Stress (kPa) Void Ratio (%) The following are the results of laboratory consolidation test conducted on clayey soil sample. Determine, graphically, the compression and recompression indices, Cc, C, of this soil. Using Casagrande's method, determine graphically the preconsolidation pressure. 0.891 54 0.866 107 0.841 214 0.802 429 0.737 858 0.653 1716 0.560 3432 0.467arrow_forwardThe coefficient of permeability of sand at a void ratio of 0.80 is 0.47 mm/s. Estimate the coefficient of permeability of this sand at a void ratio of 0.50.arrow_forward
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