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 3, Problem 3.22P
To determine
Calculate the volume of borrow material needed to construct
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The results of a laboratory consolidation test on a clay sample are given below:
Pressure, p
(kN/m²)
Void ratio, e
23.94
1.112
47.88
1.105
95.76
1.080
191.52
0.985
383.04
0.850
766.08
0.731
(43) a) Draw an e-log p plot.
(44) b) Determine the pre-consolidation pressure, p. .
(45) c) Find the compression index, Ce.
Appendix
For ø=35°, N¸=57.8, N,=41.4, and N,=41.1.
o,'=0;'tan²| 45°+
+2c tan| 45°+
The data in Table 1 shows the results from a consolidation test conducted on a specimen of clay.
Table 1. Results from the consolidation test
o'(kPa) e
50
100
200
400
800
400
200
100
200
400
800
1600
1.63
1.6
1.55
1.39
1.22
1.24
1.28
1.33
1.31
1.28
1.21
1.07
Draw the e-log o' graph.
• Determine the compression index (Cr).
a)Determine the recompression index (Cr).
After the construction
of a concrete retaining
wall, back fill material
from a nearby borrow
pit was brought into
the excavation behind
Excavation
Ground level
the wall and
compacted to a final
void ratio of 0.8. Given
Compacted
backfill
(e = 0.8)
Soils from
borrow pit
(e = 1.1)
Concrete
that the soil in the
borrow pit has void
ratio of 1.1, determine
the volume of borrow
retaining
wall
material needed to
construct 1 cubic meter
of compacted backfill.
Chapter 3 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - Prob. 3.4PCh. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - For a given sandy soil, emax = 0.75 and emin =...Ch. 3 - For a given sandy soil, the maximum and minimum...Ch. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.1CTPCh. 3 - Prob. 3.2CTPCh. 3 - Prob. 3.3CTP
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- A large building is to be built on a thick layer of normally consolidated clay shown in the figure below. The building is to be placed at the bottom of a 4 m deep excavation, which will correspond to 1 level of parking garages. The water table remains 4 m below the ground surface during the entire process. Find the OCR in the middle of the clay layer at Point A, a long time after excavation and before construction of the building. (Answer tolerance = 2%).arrow_forwardProblem 1 The void ratio versus pressure data shown below. The initial void ratio is 0.725, and the existing vertical effective overburden pressure is 130 kPa. Void Ratio 0.708 0.691 0.670 0.632 0.635 0.650 0.642 0.623 0.574 0.510 0.445 0.460 0.492 0.530 Pressure (kPa) 25 50 100 200 100 25 50 200 400 800 1600 400 100 25 a. Plot the data as e versus log o b. Evaluate the overconsolidation ratio. c. Determine the field compression index using the Schmertmann procedure. d. If this consolidation test is representative of a 12 m thick clay layer, compute the settlement of this layer if an additional stress of 220 kPa were added.arrow_forward3. A stratum of normally consolidated clay is 25 feet thick and the water content is measured as 50% (Gs=2.7). Consolidation tests on undisturbed samples of the clay indicate Ce = 0.68. On top of the clay is 5 feet of sand with a total unit weight of 120 pcf. To build a parking lot, 8 feet of fill is now placed on top of the sand. Tests on the fill indicate that the average water content is 10% and the average dry unit weight is 115 pef. The water table is located 2 ft below the ground surface. Calculate the settlement of the clay due to the added weight of the fill. Treat the clay as one layer and compute the stresses and change in void ratio at mid-depth in the clay.arrow_forward
- Problem 4: After the construction of a concrete retaining wall, backfill material from a nearby borrow pit was brought into the excavation behind the wall and compacted to a final void ratio of 0.8. Given that the soil in the borrow pit has void ratio of 1.1, determine the volume of borrow material needed to fully compact backfill, knowing that the total volume of the backfill is 30 m³. Excavation Ground level Compacted Soils from borrow pit (e = 1.1) backfill (e = 0.8) Concrete retaining wallarrow_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_forward11.12 A 2-m clay layer in the field has a current effective stress, o= 70 kN/m. There is a net stress increase, Ao = 180 kN/m², due to a foundation load. Calculate the expected primary consolidation settlement. The results of a consolidation test on the clay are given below. o' (kN/m?) e 0.98 12 0.94 50 0.82 200 0.73 400 © Cengage Leaming 2014arrow_forward
- 11.12 A 2-m clay layer in the field has a current effective stress, oó= 70 kN/m?. There is a net stress increase, Ao = 180 kN/m², due to a foundation load. Calculate the expected primary consolidation settlement. The results of a consolidation test on the clay are given below. o' (kN/m) 0.98 12 0.94 50 0.82 200 0.73 400 ©Cngage lamng 2014arrow_forwardA large area of 2-m high fill is placed on a normally-consolidated homogeneous sedimentary clay for preloading. The unit weight of the fill is 19.2 kN/m'. The undrained shear strength of the natural soil is 20 kPa. The new undrained shear strength of the soil when the degree of consolidation reached 80% is: 20.0 kPa O 23.5 kPa 26.8 kPa 28.4 kPa 29.6 kPaarrow_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_forward
- After the construction of a concrete retaining wall, back fill material from a nearby borrow pit was brought into the excavation behind the wall Excavation Ground level and compacted to a final void ratio of 0.8. Given that the soil Compacted Soils from borrow pit (e = 1.1) backfill in the borrow pit has void ratio of 1.1. Given that the borrow pit soil has a moisture content of (e = 0.8) Concrete retaining wall 11% and Gs = 2.7, determine a. Moist unit weight of the borrow soil b. Degree of saturation of the borrow soil c. Moist unit weight of the compacted backfillarrow_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_forwardGiven the phase diagram shown for a saturated soil, what is the void ratio?arrow_forward
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