Find the average elastic settlement of the foundation.
Answer to Problem 7.1P
The average elastic settlement of the foundation is
Explanation of Solution
Given information:
The width and length of the foundation is
The depth of foundation
The depth of bottom of foundation to rigid layer H is
The modulus of elasticity of clay
The net load per unit area of the foundation is
Calculation:
Find the elastic settlement
Consider
Consider
Refer to figure 7.1 in the text book for finding
Take
Take
Find the elastic settlement using Equation (1).
Therefore, The average elastic settlement of the foundation is
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Chapter 7 Solutions
Principles of Foundation Engineering (MindTap Course List)
- A rigid foundation is subjected to a vertical column load, P = 355 kN, as shown in Figure 1. Estimate the elastic settlement due to the net applied pressure, Ao, on the foundation. Given: B = 2m; L= 3m; Df=1.5m; H = 4m; Es = 13,500 kN/m²; and µs = 0.4. P Foundation Ao. B× L Soil µ = Poisson's ratio E, modulus of elasticity: H Rockarrow_forwardA rigid foundation is subjected to a vertical column load, P = 700 kN, as shown in Figure below. Estimate the elastic settlement due to the net applied pressure, Δσ, on the foundation. Given: B = 2m; L = 2m; Df = 1.5m; H = 3m; Es = 13,500 kN/m2; and µs = 0.35. (Useful formula and table can be found from Appendix)arrow_forwardProblem (4.10): The foundation plan shown in the figure below is subjected to a uniform contact pressure of 40 kN/m². Determine the vertical stress increment due to the foundation load at (5m) depth below the point (x). →|1.5m + 1.5m 2m 3 0.5m 2m + 3m 3m 3marrow_forward
- A rigid foundation is subjected to a vertical column load, P = 355 kN, as shown in Figure 11.43. Estimate the elastic settlement due to the net applied pressure, Ao, on the foundation. Given: B = 2 m; L = 3 m; D, = 1.5 m; H = 4 m; E, = 13,500 kN/m²; and µ, = 0.4. Foundation Δσ D BX L Soil Poisson's ratio E, = modulus of elasticity H %3D Rock O Cengage Leaming 2014arrow_forwardA rigid foundation is subjected to a vertical column load, P = 355 kN, as shown in Figure 11.43. Estimate the elastic settlement due to the net applied pressure, Ao, on the foundation. Given: B = 2 m; L = 3 m; D, = 1.5 m; H = 4 m; E, = 13,500 kN/m²; and µ, = 0.4. Foundation Δσ Dr Soil Hg = Poisson's ratio E, modulus of elasticity H %3D Rock O Cengage Leaming 2014arrow_forwardThe plan of a foundation of uniform thickness for a building is shown in Figure 2. Determine the vertical stress increase at a depth of 10 m below the centroid. The foundation applies a vertical stress of 300 kPa on the soil surface.arrow_forward
- Problem 1. A column foundation (Figure below) is 3 m × 2 m in plan. The load on the column, including the weight of the foundation is 4500 kN. Determin the average vertical stress increase 4 m beneath the corner of the foundation in the soil layer due to the foundation loading by: a) Boussinesq equations b) 2:1 method Given: Df = 1.5 m, Ø'= 25°, c'= 70 kN/m². 1.5 m 1 m 3m x 2m y = 17 kN/m³ Water level Ysat 19.5 kN/m³arrow_forwardQ3c. The soil profile at a new construction site for a shallow foundation is shown in Figure Q3. Prior to construction, a uniformly distributed load of 120 kN/m² is applied to the surface of the soil. By using C, equal to 0.133C. Sand Y = 14 kN/m? 3m Ground water table 3m Ysat = 18 kN/m Sand Ysat = 19 kN/m? Void ratio e = 0.8 3m Clay LL = 40 Sand Figure Q3 (i) Calculate the settlement of the clay layer caused by primary consolidation if the clay is normally consolidated. (ii) Calculate the settlement of the clay layer caused by primary consolidation if the preconsolidation pressure (o'.) = 170 kN/m².arrow_forwardA foundation (Figure 1) transmits a stress of 100 kPa on the surface of a soil deposit. a. Evaluate increases of vertical stresses points A, B, and C at the depth of 2m and Sm (2 points) b. At what depth is the increase in vertical stress below A less than 10% of the surface stress? 6 m +2 m- A 2 m -4 m- Figure 1: Plan of foundationarrow_forward
- 8.4 A rectangular foundation is shown in Figure P8.2, given B= 2 m, L=4m q=240 kN/m², H=6m, and D; =2 m. (a) Assuming E = 3800KN/m², calculate the average elastic settlement. Use Eq. (8.24). (b) If the clay is normally consolidated, calculate the consolidation settlement. Use Eq. (8.35) and yat = 17.5 kN/m², C¸ = 0.12, and e, = 1.1.arrow_forwardFigure 5.16 shows a foundation of 6.25 ft x 10ft resting on a sand deposit. The net load per unit area at the level of the foundation, qo, is 3000 lb/ft. For the sand, u, =0.3, E, = 3200 lb/in', Dr= 2.5 ft and H= 32 ft. Assume that the foundation is rigid, and determine the elastic settlement the foundation would undergo. Use Eqs. (5.33) and (5.41); note that these equations are in the class note posted on the Blackboard. Eq (5.33) = Se=20(aB').-us Foundation B XL Es 2o= net applied pressuve on fandadien Ms = Poisson's ratio of soil Es = average modulus of elaslisity. B= B½ fer centr of feundatien Rigid foundation settlement Plexible foundation settlement Is = shape facker A Poisson's ratio E, - Modulus of elasticity Eq (5.41) = Secrigid)0.93 Secflekible, center) Soil Rock Figure 5.16arrow_forwardFoundation Ao Bx L Soil u, = Poisson's ratio E, = = modulus of elasticity H Rock Figure 11.43 11.2 Refer to Figure 11.43. A square rigid foundation measuring 1.8 m x 1.8 m in plan is supported by 8 m (H) of layered soil with the following characteristics: Layer type Thickness (m) E, (kKN/m?) Ya (KN/m?) Loose sand 0-2 20,680 17.6 Medium clay Dense sand 2- 4.5 7580 18.3 19.1 4.5 – 8 58,600 Given that P = 450 kN; D; = 1 m; and u, settlement of the foundation. = 0.3 for all layers, estimate the elastic O Cngagelamirg 2014 ©Cengage Learring 2014arrow_forward
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