8.4 A rectangular foundation is shown in Figure P8.2, given B= 2 m, L=4m q= 240 kN/m², H= 6m, and D; =2m. (a) Assuming E = 3800KN/m², calculate the average elastic settlement. Use Eq. (8.24). (b) If the clay is normally consolidated, calculate the consolidation settlement. Use Eq. (8.35) and yat = 17.5 kN/m², C¸ = 0.12, and e, = 1.1.

8.4 A rectangular foundation is shown in Figure P8.2, given B= 2 m, L=4m q= 240 kN/m², H= 6m, and D; =2m. (a) Assuming E = 3800KN/m², calculate the average elastic settlement. Use Eq. (8.24). (b) If the clay is normally consolidated, calculate the consolidation settlement. Use Eq. (8.35) and yat = 17.5 kN/m², C¸ = 0.12, and e, = 1.1.

Principles of Foundation Engineering (MindTap Course List)

8th Edition

ISBN:9781305081550

Author:Braja M. Das

Publisher:Braja M. Das

Chapter7: Settlement Of Shallow Foundations

Section: Chapter Questions

Problem 7.6P

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8.4 A rectangular foundation is shown in Figure P8.2, given B=2m, L=4m q = 240 kN/m², H = 6m, and D; = 2 m. (a) Assuming E = 3800KN/m², calculate the average elastic settlement. Use Eq. (8.24). (b) If the clay is normally consolidated, calculate the consolidation settlement. Use Eq. (8.35) and y,t = 17.5 kN/m’, C, = 0.12, and e, = 1.1. %3D G.W.T. D,=2 m = 240 kN/m² Clay e. = .IO H= 6 m 1. Rock Figure P8.2 S,(average) = µ,M0 qB (v = 0.5) E (8.24) (8.35)
The results of a consolidated undrained test, in which o3 = 392 kN/m?, on a normally consolidated clay are given as: Axial strain (%) Ao(kN/m²) ug(kN/m²) 0.5 0.75 156 196 226 235 250 245 240 235 99 120 132 147 161 170 173 175 1.3 2 3 4 4.5 Draw the K; line in a P' versus q' diagram. Also draw the s tress path for this test in the diagram.
the results of a consolidated undrained test, in which o3 = 392 kN/m?, %3D on a normally consolidated clay are given next: Axial Strain, % Ao, kN/m2 Ud, kN/m? 0.5 156 99 0.75 196 120 1 226 132 1.3 235 147 2 250 161 3 245 170 4 240 173 4.5 235 175 Draw the kf line in a p' vs q' diagram. Also draw the stress path for the test in the diagram.
A 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.
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 2014
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!! :)
5 The compression curve (void ratio, e vs. effective stress, o) for a certain clayey soil is a straight line in a semi-logarithmic plot and it passes through the points (e = 1.2; o = 50 kPa) and (e=0.6; o = 800 kPa). The compression index (up to two decimal places) of the soil is 100
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. 25.66
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
A soil profile is shown in the figure below. If a foundation load Ao=1000 lb/ft² is applied, estimate the primary consolidation settlement of the clay layer. The preconsolidation pressure oc'=2600 lb/ft² and C, =÷Cc. Use the Skempton equation to estimate the 6. compression index. Ao =110 lb/ft³ Y dry V Ground water table Sand Y=1:15 lb/ft sat Y-120 lb/ft³ sat Le=0.9 | Clay| LL=50 - - - Sand 17 ft.- 15 ft.- ft.-
2) A rectangular (5ft by 8ft) foundation will be built on the soil profile shown in the figure. Calculate the primary consolidation settlement below the center of the foundation. Assume the clay layer shown in the figure is normally consolidated. For simplicity, do not subdivide the clay into multiple sublayers. AG = 1500 lb/ft? Dry sand *120 pet Clay,Ce =0.28 e,= 0.55 Ya 125 pct Bedrock (Impermeable)
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 2014