Foundation Design: Principles and Practices (3rd Edition)
3rd Edition
ISBN: 9780133411898
Author: Donald P. Coduto, William A. Kitch, Man-chu Ronald Yeung
Publisher: PEARSON
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Chapter 7, Problem 7.22QPP
Conduct a bearing capacity analysis on the Fargo Grain Elevator (see sidebar) and back-calculate the average undrained shear strength of the soil. The groundwater table is at a depth of 6 ft below the ground surface. Soil strata A and B have unit weights of
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2- Determine the stress increase below the center of the footing using both theoretical and approximate
methods at the top, middle and bottom of the clay layer. In addition, determine the average stress
increase for the clay layer.
Dimensions in
Heights in m
Unit weights in kN/m3
kN
m
P2
H1 H2
H3
BL
Hw
2.5
Yoati
18.0 19.0
3.0
3.0
2.0
16.0
2
3
1174
Load - 0
Hw
H1
H2
H3
OSand Clay (hoemally conactiduted)
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 stressof 40 kPa. Determine the change in orientation of the principal plane resulting from the construction of foundation.
CHOICES ( WITH COMPLETE SOLUTION):
a. principal stress plane rotates 23 degree counterclockwise from horizontal plane
b. principal stress plane rotates 46 degree clockwise from horizontal plane
c. principal stress plane rotates 23 degree clockwise from horizontal plane
d. principal stress plane rotates 46 degree counterclockwise from horizontal plane
The following results were obtained from CU tests on a clay soil that is the foundation
material for an embankment.
σ, (kPa)
300
400
600
0₁-0₂ (kPa)
331
420
487
Au (kPa)
111
160
322
(a) Determine the total and effective principal stresses for all three tests (You may
summarize them in a table).
(b) Recommend the shear strength parameters to be used for short-term and long-term
analyses. The maximum confining pressure (cell pressure) at the depth of interest is
300 kPa. (Note: the clay is a normally consolidated one).
Chapter 7 Solutions
Foundation Design: Principles and Practices (3rd Edition)
Ch. 7 - List the three types of bearing capacity failures...Ch. 7 - A 1.2 m square, 0.4 m deep spread footing is...Ch. 7 - A 5 ft wide, 8 ft long, 2 ft deep spread footing...Ch. 7 - A column carrying a vertical downward unfactored...Ch. 7 - A column carrying a vertical downward ultimate...Ch. 7 - A 120 ft diameter cylindrical tank with an empty...Ch. 7 - A 1.5 m wide, 2.5 m long, 0.5 m deep spread...Ch. 7 - A 5 ft wide, 8 ft long, 2 ft deep spread footing...Ch. 7 - A bearing wall carries a total unfactored load 220...Ch. 7 - After the footing in Problem 7.9 was built, the...
Ch. 7 - A bearing wall carries a factored ultimate...Ch. 7 - A 5 ft wide, 8 ft long, 3 ft deep footing supports...Ch. 7 - Prob. 7.13QPPCh. 7 - A spread footing supported on a sandy soil has...Ch. 7 - A certain column carries a vertical downward load...Ch. 7 - A building column carries a factored ultimate...Ch. 7 - A 3 ft square footing is founded at a depth of 2.5...Ch. 7 - A building column carries factored ultimate loads...Ch. 7 - Develop a spread sheet to compute allowable total...Ch. 7 - A certain column carries a vertical downward load...Ch. 7 - Repeat Problem 7.20 using LRFD assuming the...Ch. 7 - Conduct a bearing capacity analysis on the Fargo...Ch. 7 - Three columns, A, B, and C, are collinear, 500 mm...Ch. 7 - Two columns, A and B, are to be built 6 ft 0 in...Ch. 7 - In May 1970, a 70 ft tall, 20 ft diameter concrete...
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- 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 stressof 40 kPa. Determine the change shearing strees in kPa.arrow_forwardThe following results were obtained from CU tests on a clay soil that is the foundation material for an embankment. 03 (kPa) 300 400 600 0₁-03 (kPa) 331 420 487 Au (kPa) 111 160 322 (a) Determine the total and effective principal stresses for all three tests (You may summarize them in a table). (b) Recommend the shear strength parameters to be used for short-term and long-term analyses. The maximum confining pressure (cell pressure) at the depth of interest is 300 kPa. (Note: the clay is a normally consolidated one).arrow_forwardWith the same load acting on the same size of foundation, calculate the settlement (in.) that will occur in the clay layer as shown below, using Factor of Safety of 1.5 Please use 2:1 method to find stress increase under a foundation Assume: OCR = 1 EL.+450 FT. Sand Y = 110 pcf EL. +445 FT. GWT: +442 FT. Y = 120 pcf %3D Clay eo = 0.3 Cc = 0.250 Cr = 0.025 EL. +435 FT. ROCK (Picture is not in scale)arrow_forward
- 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.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_forwardA clay sanitary pipe is located at a point C below the footing shown below. Determine the increase in the vertical stress Ap at the depth of the pipe, which is z = 5 feet below the footing invert, and 3 feet away from its edge. The footing has a uniformly distributed load q = 1,800 psf. 1,800 5 ft r 2 ft B 10 ft PLAN VIEW 4 ft A T 3 ft 1 9 = B 10 ft SECTION A + 3 ft у с 5 ftarrow_forward
- 24.A series of consolidated, undrained triaxial tests were carried out on specimens of asaturated clay under no backpressure. The test data at failure are summarized:Confiningpressure (kPa) Deviator stress(kPa) Pore waterpressure (kPa) 150 192 80300 341 154450 504 222 a. Draw the Mohr circles and find the cohesion and friction angles in terms of effectivestresses.b. Compute Skempton’s A- parameter at failure for all three specimens.c. Is the soil normally consolidated or over consolidated? Why?d. Another specimen of the same day that was consolidated under a cell pressure of 250 kPa wassubjected to a consolidated, drained tri axial test. What would be the deviator stress at failure?arrow_forwardThe plan of a rectangular foundation shown in figure transmits a uniform contact pressure of 120 kN/m². Determine the vertical stress induced by this loading at point B under a depth of 5 m. (40 marks) 25.0- 15.0 6.0- 4.0 B•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
- Consider a continuous foundation of width B = 1.4 m on a sand deposit with c = 0, = 38, and = 17.5 kN/m3. The foundation is subjected to an eccentrically inclined load (see Figure 6.33). Given: load eccentricity e = 0.15 m, Df = 1 m, and load inclination = 18. Estimate the failure load Qu(ei) per unit length of the foundation a. for a partially compensated type of loading [Eq. (6.89)] b. for a reinforced type of loading [Eq. (6.90)]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_forwardThe footing shown below is subjected to uniform load of 300 kPa. a) Calculate the vertical stress component 2 m below point A. b) Resolve above problem using Newmark's influence chart. 6.0 m 1.0 m 4.0 m A 1.0 marrow_forward
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