Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 11, Problem 11.8P
To determine
Calculate the primary consolidation settlement of the clay due to the foundation load.
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- 75% consolidation in a laboratory test? 11.21 Refer to Figure 11.48. A square foundation, 2.5 × 2.5 m in size, supports a col- umn load of 478 kN. The soil characteristics are given in the figure. Field moni- toring indicated that the foundation settlement was 46 mm 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. 478 kN 2.5 m x 2.5 m 1.5 m Y = 16 kN/m GWT 1.75 m Yu = 18.8 kN/m³ w = 19% G, = 2.71 LL = 37 3.5 m o = 65 kN/m? C,= 1/SC. %3D O Sand A Clay Figure 11.48arrow_forwardSITUATION 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 mmarrow_forwardA plan of a foundation 1 m x 2 m is shown in Figure 4-2. a. Estimate the consolidation settlement of the foundation. b. Refer to part a. Given for the clay layer: Ca=0.02. Estimate the total consolidation settlement eight years after the completion of the primary consolidation settlement. (Note: Time for completion of primary consolidation settlement is 1.5 years). 15m 0.5 m 9=170 kN/m²(net stress increase) BXL 1m x 2m Sand Y = 16.5 kN/m Groundwater table Sand 25m Figure 4-2 = You 17.5 kN/m³ Normally consolidated clay y = 16 kN/m³ ea 0.78 E = 6,000 kN/m² C, = 0.32 C₁ = 0.09 A. = 0.5arrow_forward
- Redo Problem 11.6 using the weighted average method [Eq. (11.68)] to calculate the stress increase in the clay layer. Problem 11.6 Refer to Figure 11.43. Considering the soil to be a uniform clay layer, estimate the primary consolidation settlement due to the foundation load. Given: P = 150 kN; B = 3 m; L = 3 m; D, = 1.5 m; H = 8 m; e = 0.7; G, = 2.72; and LL = 42. Assume that the clay is normally consolidated, and the groundwater P table is at the foundation level. Use Ao = BL Figure 11.43 Foundation BxL Ao Soil H, = Poisson's ratio E, = modulus of elasticity H %3D Rock Figure 11.43 ©Cengage Leam ing 2014arrow_forwardA CD triaxial compression test conducted on a clay specimen revealed that c'=5 kPa and o'=22°. What is the major principal stress at failure if the confining pressure is 35 kPa? Solve the problem graphically and then analytically.arrow_forwardA normally consolidated clay layer 4.91 m. thick has a void ratio of 1.12. Liquid limit is equal to 35 and the average effective stress on the clay layer was 81 kPa. The average stress on it is increased to 125 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 93 KPa. Use Cs = 1/7Cc.arrow_forward
- Refer 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_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_forwardA uniform loading of 150kPa is applied at a 28 m Χ 28 m area. Please calculate the consolidation settlement of the clay layer used the middle of the clay layer to estimate the stress increment with the influence factor method). Cc = 0.4, Cs = 0.04, preconsolidation stress is 150 kPa and unit weight of water is 10 kN/m3. What is the settlement at the corner and center of the loading? What is the differential settlement between the corner and the center?arrow_forward
- subject: Geotechnical Engineeringbook: principle of foundation engineering - Braja M Dasarrow_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_forwardPlease solve step by step clearlyarrow_forward
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