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 9.18P
To determine
Calculate the primary consolidation settlement of the foundation.
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A square foundation, 2.5x2.5m in size, supports a column load of 478 kN. The soil characteristics are given in the following figure. Field monitoring indicated that the foundation settlement was 46mm at the end of 2 years.
(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 2 years?
(d) Estimate the coefficient of consolidation for the pressure range.
(e) Estimate the settlement in 3 years.
A saturated clay layer 4 m thick is located 6 m below GL. The void ratio of the clay is 1.0. When a raft foundation is located at 2 m below GL, the stresses at the top and bottom of the clay layer increased by 150 and 100 kN/m2 respectively. Estimate the consolidation settlement in cm if the coefficient of compressibility 0.002 cm2/N.
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?
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Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A 300 mm 450 mm plate was used in carrying out a plate loading test in a sand, during which the plate settled 5 mm under the applied pressure of 250 kN/m2. a. What is the coefficient of subgrade reaction for a 300 mm wide square plate? b. What would be the coefficient of subgrade reaction of a 2 m 3 m foundation?arrow_forwardA plate loading test was carried out on a medium dense sand, using a 1 ft wide square plate, and k1 was determined as 350 lb/in3. Determine the coefficient of subgrade reaction for a 7.5 ft wide square foundation and a 7.5 ft × 10.5 ft rectangular foundation.arrow_forwardGiven 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_forward
- A 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_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_forwardAn oedometer (consolidation) test is performed on a normally consolidated clay stratum that is 8.5 feet thick, and it found that the clay's initial voids ratio was e_0 = 0.8 and its primary compression index is C_c = 0.28. The in-situ stress at mid-clay layer is p_0 = 2, 650 psf, and the building exerts a pressure through its mat foundation of 970 psf. The secondary compression index C_ alpha = 0.02. The time of completion of the primary settlement is approximately 18 months. What is the total consolidation of the 8.5 foot clay stratum 5 years after the primary consolidation?arrow_forward
- Knowing that the compression index, Cc = 0.333, and the preconsolidation pressure s’c = 140 kPa with an initial void ratio e0 = 0.85 for a H = 3 m thick clay layer which is subjected to a new loading for an embankment resulting in a stress increase to 200 kPa; what is the expected consolidation settlement? Provide answer below in meters (m).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_forwardA mat foundation is shown in Figure P8.6. The design considerations are L = 12 m, B = 10 m, Df = 2.2 m, Q = 30 MN, x1 = 2 m, x2 = 2 m, x3 = 5.2 m, and preconsolidation pressure σ'c < 105 kN/m2. Calculate the consolidation settlement under the center of the mat.arrow_forward
- A stratum of clay is 2m thick and has an initial vertical effective stress of 50 KN/m2. The foundation load caused an increased pressure of 40 KN/m2 at the mid-layer of clay. Consolidation test revealed the following results: overconsolidation ratio (OCR) = 1.5 Compression index = 0.25 Recompression index = 0.05 Secondary compression index = 0.02 Initial void ratio = 0.90 Determine the following a. the primary consolidation settlement of the clay layer (in mm). b. If the primary consolidation settlement took 2 years to achieve in the field, calculate the secondary consolidation settlement after a period of 5 years (in mm). c. the preconsolidation pressure (in KPa. Note: Kindly give all right solutions with clear calculations.arrow_forwardA building is supported on a raft 45 m x 30 m, the net foundation pressure (assumed to be uniformly distributed) being 125 kN/m. The soil profile is as shown in Fig.4. The value of my for the clay is 0,35 m/MN. Determine the final settlement under the center of the raft due to consolidation of the clay. Roll no is 73arrow_forwardA 5.1 m thick clay soil with a current overburden pressure of 89 kPa is going to experience an additional stress of 89 kPa after a new structure is built. If it was determined that the clay is normally consolidated has an initial void ratio of 1.2, a recompression index of 0.07, and a compression index of 0.47. Determine the total amount of settlement that is expected to occur. Provide your answer in meters to 3 decimal places.arrow_forward
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