Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 20, Problem 20.2P
To determine
Find the required width of foundation based on allowable stress design.
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A circular foundation of 1.5 m diameter is constructed in a sand deposit. Given: Df =1 5 m, soil friction angle Ø =35o and soil unit weight γ =17 4kN/m3. Estimate the ultimate uplift capacity of the foundation.
For an eccentrically loaded continuous foundation on sand, given B = 1.8 m, Df = 0.9 m, e/B = 0.12 (one-way eccentricity), γ = 16 kN/m3, and Φ' = 35°. Using the reduction factor method [Eq. (4.60)], estimate the ultimate load per unit length of the foundation.
A continuous foundation having a width of 1.4 m is supported by a saturated clay layer of limited depth underlain by a rock layer. Given that Df = 1 m, H = 0.7 m, cu = 105 kN/m2, and γ = 18 kN/m3, estimate the ultimate bearing capacity of the foundation.
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Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A 2.0 m wide continuous foundation carries a wall load of 350 kN/m in a clayey soil where = 19.0 kN/m3, c = 5.0 kN/m2, and = 23. The foundation depth is 1.5 m. Determine the factor of safety of this foundation using Eq. (6.28).arrow_forwardCalculate the settlement under the center of a flexible foundation 4 m by 4 m due to volume distortions occurring in a saturated clay stratum but where rock exists at a depth 8 m below the foundation. The clay shear strength c is 60 kPa. The total foundation loading imposed onto the soil is 2,400 kN.arrow_forwardFor an eccentrically loaded continuous foundation on sand, given B = 1.9m, Df = 0.81m, e/B = 0.21 (one way eccentricity), unit weight of soil = 18.58 kN/m³, and Φ = 35, Using Meyerhof effective area method, estimate the ultimate load per unit length of the foundation.arrow_forward
- Consider a continuous foundation of width B = 1.4 m on a sand deposit with c' = 0, Φ' = 38° and γ = 17.5 kN/m3. The foundation is subjected to an eccentrically inclined load (see Figure 4.31). Given: load eccentricity e = 0.15 m, Df = 1 m, and load inclination β = 18°. Estimate the failure load Qu(ei) per unit length of the foundation a. for a partially compensated type of loading [Eq. (4.85)] b. for a reinforced type of loading [Eq. (4.86)]arrow_forwardA strip Foundation ( a long foundation in which the length is much longer than the width) of width 1m is used to transmit a load of 40 KN/ m from a block wall to the soil. Determine the increase in total vertical stress at a depth of 1m under the centre and at the edge of the foundation.arrow_forwardA square foundation with dimensions 1m × 1m has to be constructed on a dense sand. The unit weight and the static angle of friction of the soil can be assigned representative values of 19.8 kN/m3 and 36 degrees, respectively. The foundation may occasionally be subjected to a maximum dynamic load of 600 kN increasing at a moderate rate. Determine the required minimum depth (Df) of the shallow foundation using a safety factor of 3.arrow_forward
- A strip foundation (a long foundation in which the length is much longer than the width) of width 1m isused to transmit a load of 40kN/m from a block wall to the soil. Determine the increase in total verticalstress at a depth of 1m under the center and at the edge of the foundation.arrow_forwardA 3 m thick clay layer (cu = 50 kN/m2 and γ = 19.0 kN/m3) is underlain by a weaker clay (cu = 30 kN/m2 and γ = 18.0 kN/m3) to a large depth. A 2.0 m wide square foundation is placed at 1.8 m depth below the ground level. Determine the maximum column load that can be allowed on the foundation with FS = 3.arrow_forwardConsider 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_forward
- A square foundation is placed at a depth of 1.5 m within a sandy clay where c'=14k/m2 , phi'=23 and y=18 kN/m3 to carry a column load of 950 kN. Determine the width of the foundation that can be allowed on the foundation with a factor of safety of 3 and use the width value you have found to calculate the allowable bearing capacity(assume general shear failure and use gross values for the Terzaghi Bearing Capacity formulation for the given foundation type). If you don't write down the required equation to find the width of the foundation you cannot get credit from this question. Use the table given to you in the figure.arrow_forwardA 2.0 m wide square foundation is placed at 0.5 m depth ina saturated clay where cu= 40 kN/m2 and delta=19.0 kN/m3 .There is a very stiff stratum present at 1.0 m below the foundation. Determine the ultimate bearing capacity using Buisman’s (1940) equation.arrow_forwardA square column foundation has to carry a gross allowable load of 1805 kN ( FS = 3). Given: D f = 1.5 m, γ = 15.9 kN/m 3 , ϕ ′ = 34 ° , and c ′ = 0. Use Terzaghi's equation to determine the size of the foundation ( B ). The applied load on a shallow square foundation makes an angle of 15° with the vertical.arrow_forward
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