Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 10, Problem 10.7P
a.
To determine
Find the net applied pressure on the foundation.
b.
To determine
Find whether the clay soil is over consolidated,
c.
To determine
Find the consolidation settlement beneath the center of the mat foundation,
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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.
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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 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.
Chapter 10 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 10 - Refer to the rectangular combined footing in...Ch. 10 - Prob. 10.2PCh. 10 - Prob. 10.3PCh. 10 - Prob. 10.4PCh. 10 - Prob. 10.5PCh. 10 - Prob. 10.6PCh. 10 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - A plate loading test was carried out on a medium...Ch. 10 - A 300 mm 450 mm plate was used in carrying out a...
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- * 3 m b. Is the clay overconsolidated? c. What would be the consolidation settlement beneath the center of the mat? 6m A 15 m X 20 m mat foundation shown in Figure P10.7 car- ries a building load of 36 MN and is placed at 3.0 m depth below the ground level. 5 m For the clay layer, the consolidation tests show that the preconsolidation pressure at the middle of the clay layer is 210 kN/m². a. Find the net applied pressure on the underlying ground. Q Sand Clay y = 16.5 kN/m³ Ysat 19.0 kN/m³ e = 0.82 Ce=0.35 and C, = 0.06 =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_forwardEstimate the ultimate consolidation settlement under the centerline of a 25 x 25 meter mat foundation. The mat is 1.5 meter thick reinforced concrete (ϒconcrete = 23.6 kN / m3), and the average stress on the surface of the slab is 125 kPa. The soil profile is shown in the figure below. Lab testing on samples of the clay showed that the clay is normally consolidated and that Cc = 0.40, Cr = 0.03, and eo = 1.13. Neglect any settlements due to the sand layer. Divide the clay layer into four thinner layers of thickness 2.0, 2.0, 3.0, and 3.0 meters.arrow_forward
- A 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_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 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. 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_forwardFor 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_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
- 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.arrow_forwardIn a consolidation test, the void ratio of the specimen which was 1.068 under the effective pressure of 214 kN/m2, changed to 0.994 when the pressure was increased to 429 kN/m2. Calculate the coefficient of compressibility, compression index and the coefficient of volume compressibility. Find the settlement of foundation resting on above type of clay if thickness of layer is 8 m and the increase in pressure is 10 kN/m?.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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