EBK PRINCIPLES OF FOUNDATION ENGINEERIN
8th Edition
ISBN: 8220100547058
Author: Das
Publisher: CENGAGE L
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Chapter 2, Problem 2.13P
To determine
Calculate the consolidation settlement for the clay when the average effective stress on the clay layer increase.
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2.13 For a normally consolidated clay layer, given:
Thickness = 3.7 m
Void ratio = 0.82
Liquid limit =42
Average effective stress on the clay layer = 110 kN/m2
%3D
%3D
%3D
How much consolidation settlement would the clay undergo if the average effective
stress on the clay layer is increased to 155 kN/m2 as the result of the construction of
a foundation?
A buried clay has the following condition:• The ground is very deep• The thickness of buried clay is 1.8 m• A 2.4 m thick layer of compact sand overlies the clay layer• The unit weight of clay is 15.74 kN/m3 and the unit weight of thesand is 21.24 kN/m3• The foundation size and loading causes a stress increase of 33.58kPa at the center of the clay layer• Laboratory testing of the clay indicates the clay is normallyconsolidated, the soil void ratio is 1.28
a) Compute the compression index if the clay has a liquid limit of46.66b) Compute the average effective stress at the mid-height of claylayer.c) Compute the foundation settlement due to primarycompression
SITUATION 2:
A normally consolidated clay layer 3m thíck has
a void ratio of 1.10. Liquid Limit is equal to 40
and the average effective stress on the clay
layer was 80 kPa. The average stress on it is
increased to 120 kPa as a result of construction
of a foundation.
13. Compute for the consolidation settlement
that will occur on the clay layer.
a. 17 mm
b. 45 mm
C. 68 mm
d. 57 mm
14. Compute for the consolidation settlement
that will occur on the clay layer if pre-
consolidation pressure is 96 kPa.
a. 68 mm
b. 57 mm
C. 17 mm
d. 45 mm
15. Compute for the consolidation settlement
that will occur on the clay layer if pre-
consolidation pressure is 130 kPa.
a. 45 mm
c. 57 mm
b. 68 mm
d. 17 mm
Chapter 2 Solutions
EBK PRINCIPLES OF FOUNDATION ENGINEERIN
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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- For a normally consolidated clay layer, given:Thickness = 3.7 mVoid ratio = 0.82Liquid limit = 42Average effective stress on the clay layer 5 110 kN/m2 How much consolidation settlement would the clay undergo if the average effective stress on the clay layer is increased to 155 kN/m2 as the result of the construction of a foundation?arrow_forwardA normally consolidated clay layer 3 m thick has a void ratio of 1.10. Liquid limit is equal to 40 and the average effective stress on the Clay layer was 80 Kpa The average stress on it is increased to 120 Kpa as a result of construction of a foundation. a. Compute for the consolidation settlement that will occur on the clay layer b. Compute for the consolidation settlement that will occur on the clay layer if preconsolidation pressure is 96Kpa. c. Compute for the consolidation settlement that will occur on the clay layer if preconsolidation pressure is 130 KPa.arrow_forwardA normally consolidated clay layer 3.24 m. thick has a void ratio of 1.09. Liquid limit is equal to 35 and the average effective stress on the clay layer was 82 kPa. The average stress on it is increased to 115 kPa. as result of the construction of a foundation. Compute the consolidation settlement in millimeters that the clay undergo.arrow_forward
- A normally consolidated clay layer 3.65 m. thick has a void ratio of 1.09. Liquid limit is equal to 44 and the average effective stress on the clay layer was 79 kPa. The average stress on it is increased to 116 kPa. as result of the construction of a foundation. If the clay layer is preconsolidated, compute the consolidation settlement in millimeters if the preconsolidation pressure is 132 KPa. Use Cs = 1/6Cc.arrow_forwardA foundation with dimensions BxL supporting a column load, P. The foundation rests on a sandy soil underlain by a clay layer (consolidation test result in Problem 2). • Estimate the primary consolidation settlement of the clay due to the foundation load. • What is the void ratio at the end of primary consolidation? • Calculate the secondary Consolidation settlement after 6 years knowing that the primary consolidation settlement took 2.5 years. Given: P = 350 kN, B =L=2.5 m, Df= 2 m, H1= 3 m, and H2=4.5 m. The soil properties are as follows: Sand: ya = 16.4 kN/m³; ysat = 18.8 kN/m³ Clay: Ysat = 17.6 kN/m²; eo = 0.82, Ca=0.02 Sand D Yd H GWT BxL Ysat Clay Ysat Sandy gravelarrow_forwardA stratum of clay1.80 meters thick below an incompressible soil will be subjected to a stress increase of 36 kPa at the center of the layer. The magnitude of the pre-construction soil overburden pressure is 68 kPa at the center of the layer. A laboratory compression tests indicates that the clay is overconsolidated with a preconsolidation pressure equal to 80kPa. The value of the compression index, Cc=0.30 and the swell index is 0.05. The void ratio of the clay is 1.50. Determine the settlement of the clay layer due to this condition.arrow_forward
- A sand layer found at sea floor under 20 m water depth is characterized with relative density = 40%, maximum void ratio = 1.0, minimum void ratio = 0.5, and specific gravity of soil solids = 2.67. Assume the specific gravity of sea water to be 1.03 and the unit weight of fresh water to be 9.81 kN/m3. %3D %3D %3D %3D What would be the effective stress (rounded off to the nearest integer value of kPa) at 30m depth into the sand layer?arrow_forwardRefer to Figure 11.41. Given that B =1 m, L = 3 m, and Q = 110 kN, the soil characteristics given in the figure are Cs = 1/5 Cc, Ꝺ’c= 40 kN/m2. Field monitoring indicated that the foundation settlement was 19 mm during the first 12 months. a. Estimate the average stress increase in the clay layer due to the applied load. b. Estimate the primary consolidation settlement. c. What is the degree of consolidation after 12 months? d. Estimate the coefficient of consolidation for the pressure range. e. Estimate the settlement in 24 months. Answer must be: A. 6.33 B. 32.82 C. 57.89 D. 0.0013 E. 25.66arrow_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_forward
- Estimate the ultimate consolidation settlement under the centerline of a 15 X 15 m mat foundation. The mat is 1 m thick reinforced concrete and the average stress on the surface of the slab is 75 kPa. The soil profile is shown below. Oedometer tests on samples of the clay provide these average values. ’p = 130 kPa, Cc = 0.40, Cr = Cs = 0.03 Neglect any settlements due to the sand layer. Please and thank you!! :)arrow_forwardRefer to Figure 11.41. Given that B =1 m, L = 3 m, and Q = 110 kN, the soil characteristics given in the figure are Cs = 1/5 Cc, Ꝺ’c= 40 kN/m2. Field monitoring indicated that the foundation settlement was 19 mm during the first 12 months. Estimate the average stress increase in the clay layer due to the applied load. Estimate the primary consolidation settlement. What is the degree of consolidation after 12 months? Estimate the coefficient of consolidation for the pressure range. Estimate the settlement in 24 months.arrow_forwardAssume a buried stratum of clay 1.83 m thick will be subjected to a stress increase of 44.6 kPa at the center of the clay. The magnitude of the pre-construction soil overburden pressure P0= 48 kPa at the center of the clay layer. A laboratory compression test indicates that the clay has a pre-consolidation pressure of 72 kPa. The compression index is 0.30 and the value of the swell index is 0.05. The void ratio of clay is 1.50. a. Compute the settlement due to primary compression of clay.b. If full consolidation settlement will require approximately 8 years, compute the settlement due to secondary compression of clay over a period of 20-year time span. Assume secondary compression index 0.008.c. Estimate the total settlement to be expected over a 20-year time span considering the effect of secondary compressionNote: Draw Free Body- Diagram, Use 3 decimal Places Do not copy the one in chegg, it is incomplete Topic: Compressibility of Soil (Soil Mechanics)arrow_forward
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