Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Question
Chapter 12, Problem 12.5P
(a)
To determine
Find the shear strength parameter
(b)
To determine
Find the shear strength at the bottom of the silty sand layer.
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A rectangle pad footing with dimension bx1 = 2mx2m is subjected to axial loading N^tt = 600 kN. Foundation are constructed on ground surface shown as Figure 1. The water table is at -1.5m. The average unit weight of mass between soil and concrete above of the bottom foundation is given tb = 22 kN/m3. The results of the test of the relationship between the pressure and void ratio is shown in table. Load factor n is given n = 1.15.
Problem II. The initial principal stresses at a certain depth in a clay soil are 100 kPa on the horizontal plane
and 50 kPa on the vertical plane. Construction of a surface foundation induces additional stresses consisting
of a vertical stress of 45 kPa, a lateral stress of 20 kPa, and a counterclockwise (with respect to the horizontal
plane) shear stress of 40 kPa.
a.
Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation.
b. Determine the change in magnitude of the principal stresses.
C.
the change in maximum shear stress
d. the change in orientation of the principal stress plane resulting from the construction of the foundation.
Please try to solve in 1 hour
Chapter 12 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 12 - Prob. 12.1PCh. 12 - Prob. 12.2PCh. 12 - Prob. 12.3PCh. 12 - Prob. 12.4PCh. 12 - Prob. 12.5PCh. 12 - Prob. 12.6PCh. 12 - Prob. 12.7PCh. 12 - Prob. 12.8PCh. 12 - Prob. 12.9PCh. 12 - Prob. 12.10P
Ch. 12 - Prob. 12.11PCh. 12 - Prob. 12.12PCh. 12 - Prob. 12.13PCh. 12 - Following are the results of...Ch. 12 - Prob. 12.15PCh. 12 - Prob. 12.16PCh. 12 - Prob. 12.17PCh. 12 - Prob. 12.18PCh. 12 - Prob. 12.19PCh. 12 - Prob. 12.20PCh. 12 - Prob. 12.21PCh. 12 - Prob. 12.22PCh. 12 - Prob. 12.23PCh. 12 - Prob. 12.24PCh. 12 - Prob. 12.1CTP
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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 tarrow_forwardCivil Engineering 3. For the foundation shown in the figure, estimate the elastic settlement of the foundation using the strain influence factor method 15 years after construction. o1=又 pcf 10 x 10` 5 sand E=750 psi Y=l1opef 7.5 sand E-1200psi Y=120 pcf Sand E=1400psi Jalls pcfarrow_forward2. A series of consolidated, undrained triaxial tests were carried out on specimens of a saturated clay under no backpressure. The test data at failure are summarized: Confining Pressure (kPa) Deviator Stress (kPa) Pore Water Pressure (kPa) 150 192 80 300 341 154 450 504 222 a. Draw the Mohr circles and find the cohesion and friction angles in terms of effective stresses. b. Compute Skempton’s A-parameter at failure for all three specimens. c. Is the soil normally consolidated or overconsolidated? Why? d. Another specimen of the same clay that was consolidated under a cell pressure of 250 kPa was subjected to a consolidated, drained triaxial test. What would be the deviator stress at failure?arrow_forward
- Solve all three partsarrow_forwardA square footing supporting a column applies a uniform pressure of 100 kPa on top of a deep clay deposit. Based on the bulbs of pressure developed below the footing shown in the following figure, which of the following statements are correct (select all that apply)? A.Immediately after construction, the effective vertical stress developed at Points B and C is the same. B.Immediately after construction, the excess pore water pressure (∆u) developed at Point B is lower than ∆u developed at Point A. C.After construction, the excess pore water pressure at Point C dissipates faster than that dissipated at Point B. D.arrow_forwardGeotechnical engineering 2 (foundation engineering)arrow_forward
- Three specimens of clay having a small air-void content were tested in the shear box. Shear loading was started immediately after the application of the normal load and was completed in 8 minutes. The results are as follows: 241 117 3 3 Normal Stress (kN/m²) 145 Shear stress at failure (kN/m²) 103 Find the apparent cohesion of the clay. 337 131 Find the angle of shearing resistance of the clay. What value of c would be obtained from an unconfined compression test on the same soil?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_forwardA square footing supporting a column applies a uniform pressure of 100 kPa on top of a deep clay deposit. Based on the bulbs of pressure developed below the footing shown in the following figure, which of the following statements are correct (select all that apply)? A.Immediately after construction, the excess pore water pressure (∆u) developed at Point A remains lower than ∆u developed at Point B B.Immediately after construction, the excess pore water pressures (∆u) developed at Points B and C are the same C.Since the clay layer is homogeneous, one-dimensional Terzaghi’s theory of consolidation can be applied to provide an accurate estimate of the rate of consolidation at Points A, B, and C. D.After construction, three-dimensional seepage occurs below the foundation as the excess pore water pressures dissipate.arrow_forward
- Be fast and correct. Thanks po.arrow_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_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
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