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.
.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
5.0m
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 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_forwardEstimate 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!! :)arrow_forwardfinal answer in 3 decimal placesarrow_forward
- 1) 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_forwardanswer in 3 decimal places ty :)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_forward
- 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 mmarrow_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 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
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