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 8.10P
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?
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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 11.48
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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_forwardPlease answer the following question with a step by step solution so I can follow and understand, explain theoryarrow_forward
- Please explain the probelm step by step so I can understand the theory and concept. Please show clear calculations and clear solutions so I can understand, thank youarrow_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_forwardA 300 mm 450 mm plate was used in carrying out a plate loading test in a sand, during which the plate settled 5 mm under the applied pressure of 250 kN/m2. a. What is the coefficient of subgrade reaction for a 300 mm wide square plate? b. What would be the coefficient of subgrade reaction of a 2 m 3 m foundation?arrow_forward
- Refer 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_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_forwardrefer to the figure below. Determine the average stress increase in the clay layer below the center of the foundation due to the net foundation load of 50 tons.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_forward3. 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 tarrow_forwardA 3.5m * 5m rectangular plinth transmits a total load of 6.7 MN to the floor profile shown below. The groundwater level is 1.50 m from the earth's surface.A CU test was performed on a soil sample obtained from an overconsolidated clay stratum with an OCR = 2.5, at point A below the center of the foundation. The results obtained are Cu = 40kPa phi p ^ prime = 28° and phi cr^prime =24° . Determine if the soil in this stratum reaches the failure state for a short-term or long-term condition. If the soil does not reach the failure state, what are the safety factors.arrow_forward
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