Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 9, Problem 9.15P
To determine
Find the settlement of the foundation.
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The 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•
Q.8 A long foundation 0.6 m wide carries a line load of 100 kN/m. Calculate the vertical
stress, at a point P, the coordinates of which are x = 2.75 m, and z = 1.5 m, where the
x coordinate is normal to the line load from the central line of the footing
A foundation carries uniform loads as shown. Determine the value of w (in kN/m).
70 kNm
円円
W (kN/m)
4m
Chapter 9 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- 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_forwardSolve Problem 7.8 using Eq. (7.29). Ignore the post-construction settlement. 7.8 Solve Problem 7.4 with Eq. (7.20). Ignore the correction factor for creep. For the unit weight of soil, use γ = 115 lb/ft3. 7.4 Figure 7.3 shows a foundation of 10 ft × 6.25 ft resting on a sand deposit. The net load per unit area at the level of the foundation, qo, is 3000 lb/ft2. For the sand, μs = 0.3, Es = 3200 lb/in.2, Df = 2.5 ft, and H = 32 ft. Assume that the foundation is rigid and determine the elastic settlement the foundation would undergo. Use Eqs. (7.4) and (7.12).arrow_forwardA foundation carries uniform loads as shown. Determine the value of w (in kN/m). 70 kN/m 70 kNm W(kN/m) ,2m 4m ,2m wat watarrow_forward
- Figure 5 summarizes the loading on two footings. What will be the increase in thevertical stress (Licrv) at point A which is located in the middle of two foundations and is 2meters deep from the ground surface? Calculation should be performed using twodifferent methods.arrow_forwardQuestion 1) For a shallow foundation measuring (1.7 m x 2.2 m) as shown below: , A. Estimate the elastic settlement proposed by Mayerhof. Then, B. Estimate the elastic settlement proposed by Bowles, if the water table rises 1.5 m. Then, Use yw=10 kN/m³ qnet= 1.2 MN/m2 G.S 1.5 m Sand Yd=16 kN/m³ Ysat= 17 kN/m3 %3D 2.5 m N60=52 V W.T. Silty Sand Ya=18 kN/m³ Ysat = 18.5 kN/m? N60=52 3.5 m Sand Ya=19 kN/m3 Ysat = 22 kN/m³ e, = 0.4, Ae=0.04 , o'= 194 kN/m2 5 m Cc= 0.3, Cs= 0.2 , Ca= 0.05 N60=60 CS Scanned with CamScannerarrow_forwardThe 6m x 9m rectangular foundation shown carries a uniform load of 325 kPa. Using NEWMARK'S influence chart, solve for the stress increase at point A. The answer must be 140.4 . Please show solutionarrow_forward
- Problem 1: A shallow foundation 25m × 18 m carries a uniform pressure of 175 kPa. Determine the vertical stress at two points that are 12 m and 24 m below the mid-point of one of the long sides, respectively. (a) using influencing factors (b) by means of Newmark's chart (c) using the 2:1 method (c) Comment on the results of the 2:1 method by comparing with those of the other two methods.arrow_forwardA long foundation 0.6 m wide carries a line load of 100 kN/m. Calculate the vertical stress σz, at a point P, the coordinates of which are x = 2.75 m, and z = 1.5 m, where the x-coordinate is normal to the line load from the central line of the footing.arrow_forwardThe initial principal stresses at a certain depth in a clay soil are 200 kPa on the horizontal plane and 100 kPa on the vertical plane. Construction of a surface foundation induces additional stresses consisting of a vertical stress of 45 kPa, a lateral (horizontal) stress of 20 kPa, and a counterclockwise (with respect to the horizontal plane) shear stress of 40 kPa. Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation. Determine (a) the change in magnitude of the principal stress, (b) the change in maximum shear stress, and (c) the change in orientation of the principal stress plane resulting from the construction of the foundation.arrow_forward
- Soil mechanicsarrow_forwardProblem 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.arrow_forwardThe 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 planearrow_forward
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