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 11.7P
To determine
Calculate the primary consolidation settlement of the clay due to the foundation load.
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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 rectangular concrete slab, 3mx4m, rests on the surface of a soil layer as shown in the figure.
The saturated clay has over consolidation ratio of 2, w=38%, and Cr=0.05. Determine the primary
consolidation settlement of the clay. The load on the foundation is 2000OKN. Assume that 20% of
voids in sand is air and porosity of sand is 0.43.
Cc=0.28
Gs=2.65
4 m
Fine sand
5 m
Clay
2 m
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!! :)
Chapter 11 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- 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.-arrow_forwardA normally consolidated clay layer 4.38 m. thick has a void ratio of 1.06. Liquid limit is equal to 37 and the average effective stress on the clay layer was 79 kPa. The average stress on it is increased to 117 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 138 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_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_forward11.1 A vertical column load, P = 600 kN, is applied to a rigid concrete foundation with dimensions B = 1 m and L = 2 m, as shown in Figure 11.45. The founda- tion rests at a depth D₁ = 0.75 m on a uniform dense sand with the following properties: average modulus of elasticity, E¸ 20,600 kN/m², and Poisson's ratio, μ = 0.3. Estimate the elastic settlement due to the net applied pressure, Ao, on the foundation. Given: H = 5 m. Foundation BXL Figure 11.45 600 KN V 74 Ao Soil Ms = 0.3 Es = 20, 600 kN/m² Rock = 0.75 m 5.0 marrow_forward
- 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 100arrow_forwardKINDLY OBTAIN THE RIGHT ANSWER AND EXPLAIN Refer to Figure. 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_forwardProblem 2. Determine the average (top, middle, and bottom) stress increase in the clay layer below the center of foundation due to foundation load of 50 tons. 50 ton (net load) Sand 100 Ib/ 4:5 t Groupdwater table 5 ft X 5 ft *Sand 122 lb/ft 3 ft A120 Ib/ft 0.7 C, = 0.25 10 ft 0,06 Preconsolidation pressure = 2000 lb/ft?arrow_forward
- 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; =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 yat = 17.5 kN/m², C¸ = 0.12, and e, = 1.1.arrow_forwardQ-1) Determine the immediate settlement of the foundation shown in Figure (1). The undrained elastic modulus varies with depth, as shown in the figure, and v₁ = = 0.45. [Answer = 26 mm]. LETETEI 2L = 12 m -8 m -4m +3m+5m 5000 kN Į Layer 1 Layer 2 6 m 2B = 10 m 4 m 4 m 8m Figure (1) 4000 kPa 8000 kPa Eu 10,000 kPa 30,000 kPaarrow_forward75% 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_forward
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