Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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Question
Chapter 2, Problem 2.15P
(a)
To determine
Calculate the total consolidation settlement.
(b)
To determine
Find the time taken for half of the consolidation settlement.
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An 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.
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?
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.
Chapter 2 Solutions
Principles of Foundation Engineering (MindTap Course List)
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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- 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 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_forward
- 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.)arrow_forwardRefer 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_forward2- 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_forward
- 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_forwardA saturated clay specimen is subjected to a pressure of 240 kN/m2. After the lapse of a time, it is determined that the pore pressure in the specimen is 72 kN/m2. What is the degree of consolidation? Show free body diagram. a.75% b.60% c.70% d.65%arrow_forward4) In a oedometer test a specimen of a saturated clay 21 mm thíck reaches 50% consolidation in 10 minutes. How long would it take a layer of this clay 6 m thíck under the same drainage conditions to reach 90% f consolidation under the same stress and drainage conditions? Use the following relationships between the average degree of consolidation, U and time factor, T,: U =T, for Us 50% U =1-- for U>50% No need for calculation, please write only the results.arrow_forward
- The time for 75% consolidation of a 25 mm clay specimen (drained at top and bottom) in the laboratory is 22 minutes. How long will it take for a 6 m thick clay layer (same clay) in the field to undergo 55% consolidation under the same pressure increment? In the field, there is a rock layer at the bottom of the clay layer.arrow_forwardThe time for 65% consolidation of a 19-mm clay specimen (drained at top and bottom) in the laboratory is 10 minutes. How long will it take for a 4-m-thick clay layer in the field to undergo 40% consolidation under the same pressure increment? In the field, there is a rock layer at the bottom of the clay.arrow_forwardThe saturated NC clay is 8 meters deep. The moisture content is 40% and the specific gravity is 2.5. If we know that loading increased the effective stress in the middle of the layer by 270 kpa, then answer the following questions. (cc = 0.2, Cs = 0.05) 1. Calculate the settlement after the consolidation. 2. Calculate the void ratio after consolidation. 3. Calculate the volume compressibility coefficient in terms of Kpa 4. If we unload the load that we applied, calculate the swelling and final void ratio. 5. If the effective stress increases after loading the soil again by 570 Kpa in the middle of the soil layer, calculate the consolidation settlement.arrow_forward
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