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 10.8P
To determine
Find the consolidation settlement under the corner of the mat foundation,
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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
=
Estimate 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.
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 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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- .A circular foundation 2m in diameter is shown in the figure below. A normally consolidated clay layer 5m thick is located below the foundation. Determine the consolidation settlement of the clay. method 2:1 (1) As one layer of clay of 5m thick: (2) Divide the clay layer into (5) sub-layers each of 1m thick: -Calculation of increase of stress below the center of each sub-layer Aa(i) : (3) Weighted average pressure increase (Simpson's rule): Circular foundation diameter B = 2m G.S. 1.0m Sand q = 150 kN/m² y = 17 kN/m² 0.5m W.T. Sand 0.5m Normally consolidated clay Y sat. = 18.5 kNm² C. =0.16, e, =0.85 5.0marrow_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_forward1) A 30-ft x 30-ft square mat foundation will be constructed at ground surface. The subsoil profile is shown in the figure. The average stress increase due to mat foundation in clay layer is 360 psf. The primary consolidation settlement (in.) of the clay layer directly below the center of the mat is most nearly: a. 0.2 b. 1.0 c. 21 d. 3.6 ORIGINAL GROUND SURFACE BLEV t a. 3.9 b. 3.3 C. 4.8 d. 4.4 wwwwwwww ELEV-St THE WE ELEV-13 SAND yo 115 pdf ELEV-23 MIAT FOUNDATION GROUNDWATER TABLE SAND = S + 4 MIN NORMALLY CONSOLIDATED CLAY SATURATED COMPRESS VOD RATIO=12 308 **** NOT TO SCALE 2) Assume that the primary consolidation in the previous question is 5 in. what is the primary consolidation (in.) taking into account the three-dimensional effect. (A = 0.6).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. 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_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 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
- A circular foundation 2m in diameter is shown in the figure below. A normally consolidated clay layer 5m thick is located below the foundation. Determine the consolidation settlement of the clay. method 2:1 As one layer of clay of 5m thick: Divide the clay layer into (5) sub-layers each of 1m thick:Calculation of increase of stress below the center of each sub-layer Δσ ⃘(i): Weighted average pressure increase (Simpson's rule): "note in the picture solve the question but please solve in method 2:1" "please resolve the question but using method 2:1"arrow_forwardA 15 m x 20 m mat foundation shown in Figure (Q4), carries a building load of 4200 tonne and is placed at 4.0 m depth below the ground level. Compute the consolidation settlement at the midpoint of the long side of the foundation (Point C) if the preconsolidation pressure at the middle of the clay layer is 180 kN/m². 4 m 2 m 6 m Sand Y. 17 kN/m² a 14 kN/m² Clay, e 0.8, C 0.33, y=19.7 kN/m² Figure (04) Raft foundation 15 mx 20 m 20 m 15 m od toarrow_forward2) 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)arrow_forward
- KINDLY 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_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_forwardA circular foundation (D = 6 m) is built on a construction site where the soil profile is shown in Figure 5 below. The circular foundation applies a uniform pressure of 80 kPa to the surface of clay. The properties of the clay are: Specific gravity, G₁ Saturated unit weight at Compression index Ce Recompression index Cr Consolidation coefficient, c Over-consolidation ratio, OCR 10 m 6m Ø Clay Impervious rock Figure 5 2.6 20 kN/m³ 0.25 0.10 2.5 m²/year 1.2 (b) Calculate the stress increase at the center of the clay layer and 1) beneath the foundation center and 2) beneath the edge of the foundation; (c) Calculate the consolidation settlement beneath the center of the foundation due to the stress increase; (d) Determine the settlement at the center of the clay after 1 year of applying the pressure; (e) A 50 mm thick clay sample was taken from the site and consolidated in the oedometer, how long it will take for the clay to reach 90% consolidation?arrow_forward
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