Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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Chapter 8, Problem 8.8P
From the plate load test (plate dimensions 1 ft × 1 ft) in the field, the coefficient of subgrade reaction of a sandy soil is determined to be 60 lb/in3. What will be the value of the coefficient of subgrade reaction on the same soil for a foundation with dimensions of 20 ft × 20 ft?
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3. There is a rectangular foundation, foundation soil stratification, self-weight
stress and additional stress calculation results are shown below (stress in kPa),
foundation soil compression test results are shown in the following table, the
requirement of the basic formula of one-way compression using the sum of
stratification method to calculate the compression of the second layer of soil.
Results of foundation soil consolidation test
p (kPa)
0
200
e
1.00
First layer
Second layer
The third layer
50
34
48
0.93 0.85 0.80
18
100
26
27
35
150
52
100
0.4m
0.4m
0.6m
0.77
0.9m
C
C
t
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.
A 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 gravel
Chapter 8 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 8 - Prob. 8.1PCh. 8 - Following are the results of a standard...Ch. 8 - Repeat Problem 8.2 for an allowable settlement of...Ch. 8 - Prob. 8.6PCh. 8 - Prob. 8.7PCh. 8 - From the plate load test (plate dimensions 1 ft ×...Ch. 8 - Refer to Problem 8.8. If the full-sized foundation...Ch. 8 - The subgrade reaction of a sandy soil obtained...
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- The subgrade reaction of a sandy soil obtained from the plate load test (plate dimensions 1 m × 0.7 m) is 18 MN/m3. What will be the value of k on the same soil for a foundation measuring 5 m × 3.5 m?arrow_forwardRefer to Problem 8.8. If the full-sized foundation had dimensions of 70 ft × 30 ft, what will be the value of the coefficient of subgrade reaction? 8.8 From the plate load test (plate dimensions 1 ft × 1 ft) in the field, the coefficient of subgrade reaction of a sandy soil is determined to be 60 lb/in3. What will be the value of the coefficient of subgrade reaction on the same soil for a foundation with dimensions of 20 ft × 20 ft?arrow_forwardA plate loading test was carried out on a medium dense sand, using a 1 ft wide square plate, and k1 was determined as 350 lb/in3. Determine the coefficient of subgrade reaction for a 7.5 ft wide square foundation and a 7.5 ft × 10.5 ft rectangular foundation.arrow_forward
- KINDLY GET THE REAL ANSWER WITH EXPLAIN STEP 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_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_forwardPlease try to solve in 1 hourarrow_forward
- Question 3 a) In a geotechnical laboratory an oedometer test on a saturated clay soil was conducted. The results in the laboratory report stated that the Ce= 0.2, C, -0.04 and OCR = 4.5. The existing vertical effective stress in the field was 130 kPa. A shallow foundation was designed to construct above the soil condition. This will increase the vertical stress at the center of the clay by 50 kPa. The thickness of the clay layer is 2 m and its water content is 28%. Solve the primary consolidation settlement and determine the difference in the settlement if OCR value were 1.5 instead 4.5.arrow_forwardIn a site investigation for a large foundation project it is determined that there is a clay layer with capillary rise of 6.0 m above the groundwater table. What would be the effective stress and the pore pressure at point A located 2m above the groundwater table? Assume clay has Gs=2.70 and moisture content in capillary zone is 10%. Clay Gs=2.7, w=10% 10 m A. 2marrow_forwardDescribe about the Shear Strength of Clay Related to Triaxial Testing.arrow_forward
- 75% 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_forwardIn a plate load test on sandy soil, the test plate of 60 cm x 60 cm undergoes a settlement of 5 mm at a pressure of 12 x 104 N/m². What will be the expected settlement of 3 m x 3 m footing under same pressure?arrow_forwardThe figure below shows a surface foundation subjected to a vertical load Q 200 kN and a moment M 50 kN-m. Please answer the following questions: (1) Soil samples from this site are mainly cohesionless sand (e'= 0). A consolidated undrained triaxial test was conducted on one of the samples at a confining pressure o, = 100 kN/m. Failure occurred when the major principal stress a = 200 kN/m with a pore water pressure u = 50 kN/m². Deternine the effective stress angle of friction, ' of the soil accordingly. (10%) (2) Calculate the equivalent load eccentrieity (5%), and cheek if it causes a separation between the foundation and the soil (5%). (3) Use general bearing capacity equation and gffective area method proposed by Meyerhof to estimate the ultimate bearing capacity of the foundation (15%), and check if it meets the required factor of safety for short-term loading (5%). %3D 10-1900EN Lonku IM-4004N-m SokUm Im B-2m.L-2m 7 17 KN m B-arrow_forward
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