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 9.5P
To determine
Calculate the primary consolidation settlement of the clay layer.
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A 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/sec
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;
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.
Chapter 9 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 2.9 A normally consolidated clay has the following values. Void ratio, e k (cm/sec) 0.2 × 10 0.91 x 10-6 1.2 1.9 Estimate the magnitude of k of the clay at a void ratio (e) of 0,9. Use Eq. (2,41).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_forwardSolve the following problems using the figure. 1. Calculate the ultimate settlement of the clay layer. 2. Calculate the excess pore pressure (ue) and the effective stress at the midpoint of the clay layer after 3 years. 10' Fill, y = 118b/³ Sand, y 109 lb/ft³ Sand, Ysat 114 lb/ft³ eo = 1.1 Cc = 0.25 C₁ = 7 ft²/yr C₁ = 0.06 clay 14' N.C Ysat = 122 lb/ft³ sand 8. For the previous problem, report the predicted settlement after 365 days. 3. Create a plot (or plots) in a spreadsheet showing the hydrostatic pressure in the clay with depth and the excess pore pressure (ue) with depth after 3 years and the combined pore pressure after 3 years. (This is similar to an example worked in class) 4. Calculate the average percentage of consolidation (U%) for the clay layer after 3 years. 5. How long will it take for 80% of the ultimate settlement of the clay layer to take place? 6. Assume thin layers of drainable sand are present every two feet within the clay so it is actually five clay layers that…arrow_forward
- The following data are given for normally consolidated clay: Thickness=2.6m Primary Cc=0.3 Secondary Cc=0.02 e=0.8 Average Pressure=127 kPa Change in pressure (vertical) =46 kPa Determine the following 1. Primary Consolidation Settlement (Ans. 58.17mm) 2. Secondary Settlement five years after the completion of the primary settlement. The time for completion of primary settlement is 1.5 years. (Ans. 15.4mm)arrow_forward1. 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_forward7.14 For a normally consolidated clay, the following values are given: Void ratio, e k (cm/sec) 0.95 0.2 x 10-6 0.91 x 10-6 1.6 Estimate k at a void ratio of 1.1. Use Eq. (7.38). Ⓒ Cengage Learning 2014arrow_forward
- A consolidated-undrained test on a normally consolidated clay yielded the follow- ing results: • o, = 15 lb/in.? • Deviator stress: (Ao = 11 lb/in.? Pore pressure: (Au, = 7.2 lb/in.? Calculate the consolidated-undrained friction angle and the drained friction angle.arrow_forwardA normally consolidated clay has the following values void ratio e = 1.2, k(cm/sec) = 0.2 x 10^-6 And void ratio e = 1.9, 0.91x10^-6. Estimate the magnitude k of the clay at a void ratio (e) of 0.9. Use k = C (e^n)/1+e.arrow_forwardRefer 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_forward
- The stresses induced by a surface load on a loose horizontal sand (ɸ = 30o) layer were found to be σv = 6.0 kPa, τv = 1.6 kPa, σh = 3.7 kPa, and τh = -1.6 kPa. By means of Mohr circles, determine if such a state of stress is safe. If so, what is the factor of safety? Use FS = τff(available) / τf(applied) for the definition of factor of safety.arrow_forward5- The shear strength of a normally consolidated clay can be given by the equation tf o'tan 27°. Following are the results of a consolidated-undrained test on the clay. • Chamber-confining pressure = 3,130 lb/ft² Deviator stress at failure = 2,510 lb/ft² a) Determine the consolidated-undrained friction angle b) Pore-water pressure developed in the specimen at failurearrow_forwardWhen a clay's effective stress is increased by 12,000 kg/m², the change in the void ratio is 0.20. If the clay is 5 m thick and has an initial void ratio is 0.40... Q: What is the consolidation of the soil in cm? Round off your answer to the nearest multiple of ten.arrow_forward
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