As shown in the figure below, a 1.5 m × 1.5 m footing iscarrying a 400 kN load.PDepth (m)0.01.02.0DfGroundwatertable(Yw = 9.81 kN/m³)3.5Yt = 16.5 kN/m³E = 9,000 kPaSandysoilYsat 17.5 kN/m³E = 15,000 kPa6.0Stiff Clay(OCR = 2)BedrockYsat 18.0 kN/m³eo = 0.8Cc = 0.15, Cr = 0.02Eu =40,000 kPa(a) Estimate the immediate settlement beneath the center of thefooting. Assuming that Poisson's ratios of sand and soft clay are0.3 and 0.5, respectively. Use numerical integration approach.For the calculations, use layers (below the bottom of the footing)of thicknesses: 1 m; 1.5 m, and 2.5 m.(b) Determine the primary consolidation settlement beneath thecenter of the footing.(c) Redo Part (b) if OCR=1.1.Note: Use the 2:1 method to determine the stress increase belowthe footing. For parts (b) and (c), use the one-dimensionalconsolidation theory.

Answered: As shown in the figure below, a 1.5 m ×…

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter17: Settlement Of Shallow Foundations

Section: Chapter Questions

Problem 17.10P

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Refer to the rectangular combined footing in Figure 10.1, with Q1 = 100 kip and Q2 = 150 kip. The distance between the two column loads L3 = 13.5 ft. The proximity of the property line at the left edge requires that L2 = 3.0 ft. The net allowable soil pressure is 2500 lb/ft2. Determine the breadth and length of a rectangular combined footing.
Repeat Problem 5.1 with the following data: B = 1.5 m, L = 1.5 m, Df = 1 m, H = 0.6 m, = 35, c = 0, and = 15 kN/m3. Use FS = 3. Refer to Figure 5.2 and consider a rectangular foundation. Given: B = 1.5 m, L = 2.5 m, Df = 1.2 m, H = 0.9 m, = 40, c = 0, and = 17 kN/m3. Using a factor of safety of 3, determine the gross allowable load the foundation can carry. Use Eq. (5.3).
A 2.0 m 2.0 m square pad footing will be placed in a normally consolidated clay soil to carry a column load Q. The depth of the footing is 1.0 m. The soil parameters are: c = 0, = 26, = 19 kN/m3, and cu = 60 kN/m2. Determine the maximum possible value for Q, considering short-term and long-term stability of the footing.
A 3 m 4 m footing, founded at 2 m depth in a clay, applies a net pressure of 200 kN/m2. The bed rock lies 10 m below the footing. The modulus of elasticity of the clay is 30 MN/m2. Using Janbus generalized relationship [Eq. (17.1)], assuming undrained conditions and flexible footing carrying uniform pressure, estimate the expected settlement.
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)]
Redo Problem 7.6 using Vesic’s (1975) solution [Eq. (7.12)]. 7.6 A 2.0 m wide continuous foundation is placed at 1.5 m depth in a saturated clay where cu = 40 kN/m2 and γ = 18.5 kN/m3. At 2.0 m below the ground level, this clay layer is underlain by a stiffer clay where cu = 60 kN/m2 and γ = 19.0 kN/m3. What would be the maximum wall load allowed with FS = 3? Use Eq. (7.11).
Repeat Problem 16.13 with the following: Mat foundation: B = 8 m, L = 20 m, and Df = 2 m Clay: =0 and cu = 130 kN/m2 16.13 A mat foundation measuring 14 m 9 m has to be constructed on a saturated clay. For the clay, cu = 93 kN/m2 and =0. The depth, Df, for the mat foundation is 2 m. Determine the net ultimate bearing capacity.
A flexible circular footing of radius R carries a uniform pressure q. Find the depth (in terms of R) at which the vertical stress below the center is 20% of q.
If the water table in Problem 16.9 drops down to 0.25 m below the foundation level, what would be the change in the factor of safety for the same gross allowable load? 16.9 A square footing is shown in Figure 16.18. Determine the gross allowable load, Qall, that the footing can carry. Use Terzaghis equation for general shear failure (Fs = 4). Given: = 17 kN/m3, sat = 19.2 kN/m3, c = 32 kN/m3, =26, Df = 1 m, h = 0.5 m, and B = 1.5 m. Figure 16.18
It is proposed to place a 9 ft 9 ft foundation at 6 ft depth in a sandy soil, where the average N60 is 25 and the unit weight is 115.0 lb/ft3. Using Meyerhofs expressions presented in Section 9.6, estimate the allowable net pressure that would give 1.2 in. of settlement.
For the mat in Problem 16.15, what will be the depth, Df, of the mat for FS = 3 against bearing capacity failure? 16.15 Consider a mat foundation with dimensions of 18 m 12 m. The combined dead and live load on the mat is 44.5 MN. The mat is to be placed on a clay with cu = 40.7 kN/m2 and = 17.6 kN/m3. Find the depth, Df, of the mat for a fully compensated foundation.
In Problem 7.3, if no bedrock was present for at least 4 m below the foundation, determine the ultimate bearing capacity. 7.3 A 1.5 m × 2.0 m rectangular foundation is placed at 1.0 m depth in sand where ϕ′ = 40° and y = 18.5 kN/m3. Bedrock is present at 1.0 m below the foundation. Using Eq. (7.3), determine the ultimate bearing capacity of the foundation.

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