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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A 100'x50' mat foundation (also called slab-on-grade) will be placed at the site shown in Figure 1. Calculations show that the foundation will cause an average increase in vertical
stress in the clay layer of (a) 850 psf under the foundation center, and (b) 350 psf under the foundation corner. Find the foundation settlement due to the consolidation of the clay layer
both at the foundation center and the foundation corner. Can the resultant differential settlement be considered tolerable?
Sand
Clay
Bedrock
2.5 ft
5 ft
5 ft
7-100pcf
122.5pcf, eo=1, op=1000psf
Cc-0.5, Cs-C-0.1
Figure 1.
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.
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
- In a geotechnical laboratory an oedometer test on a saturated clay soil was conducted. The results in the laboratory report stated that the Cc = 0.2, Cr = 0.04 and OCR = 4.5. The existing vertical effective stress in the field was 130 kPa. A building foundation was designed to construct above the soil condition. This will increase the vertical stress at the center of the clay by 150 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_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_forwardKINDLY 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_forward
- A foundation 15 ft x 20 ft is proposed near an existing one, 10 ft x 15 ft as shown in the figure below. Determine the following: (A) The vertical total stress increase at A, B, and C at a depth of 4 ft below the ground surface of the existing foundation before construction of the proposed foundation.(B) The vertical total stress increase at A, B, and C at a depth of 4 ft below the ground surface of the existing foundation from the construction of the proposed foundation.arrow_forwardQ1/ The results of a load test carried out on a plate of size 30 cm x 30 cm are given in Table below. The load test was carried out at a depth of 2.5 m, below ground surface. The soil profile is fairly homogeneous sand at the site. From the test results: a. determine the settlement of an actual foundation of size 2.5 m x 2.5 m carrying a total load of 155 ton and located at a depth of 2.5 m below the ground surface. b. What is the bearing capacity of foundation if the settlement of plate 12.6 mm. Load intensity 0.496 0.992 1.488 1.984 2.48 2.976 3.472 3.968 4.464 496 kg/em Settlement, 0.5 1.0 1.8 2.75 4.4 5.4 9.8 12.5 17.0 28.7 mmarrow_forwardQ1/ The results of a load test carried out on a plate of size 30 cm x 30 cm are given in Table below. The load test was carried out at a depth of 2.5 m, below ground surface. The soil profile is fairly homogeneous sand at the site. From the test results: a. determine the settlement of an actual foundation of size 2.5 m x 2.5 m carrying a total load of 155 ton and located at a depth of 2.5 m below the ground surface. b. What is the bearing capacity of foundation if the settlement of plate 12.6 mm. * Load intensity 0.496 0.992 1.488 1.984 2.48 2976 3.472 3.968 4.464 496 kg/cm² Settlement, 0.5 1.0 1.8 2.75 44 54 9.8 125 17.0 28.7 mmarrow_forward
- In 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_forwardQuestion 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_forwardThe in-place density is determined for a soil at a proposed construction site to plan the foundation design. The in-place density test is performed using rubber-balloon equipment with the following results: Mass of soil sample obtained from test hole = 1.45 kg Volume of test hole = 0.0008 m3 (a) What is the in-place density for the soil? (b) For the foundation design, it is necessary to use the property of in-place unit weight; convert the in-place density value to unit weight in kN/m3.arrow_forward
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