Principles of Foundation Engineering, SI Edition
8th Edition
ISBN: 9781305446298
Author: Braja M. Das
Publisher: Cengage Learning US
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Chapter 7, Problem 7.8P
To determine
Find the value of elastic settlement of the foundation.
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6.8 Refer to Figure P6.8. Using the procedure outlined in Section 6.8, determine the
average stress increase in the clay layer below the center of the foundation due to the
net foundation load of 50 ton. [Use Eq. (6.28).]
4:5 ft
3 ft
50 ton (net load)
10 ft
5 ft x 5 ft
Sand
y=100 lb/ft!
Sand
Yat=122 lb/ft³
Groundwater
table
Ysat ⇒120 lb/ft³
= 0.7
C=0.25
-C, 0,06
Preconsolidation pressure = 2000 lb/ft²
Figure P6.8
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 2014
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/m³
Chapter 7 Solutions
Principles of Foundation Engineering, SI Edition
Ch. 7 - Prob. 7.1PCh. 7 - A planned flexible load area (see Figure P7.2) is...Ch. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - Prob. 7.5PCh. 7 - Prob. 7.6PCh. 7 - Prob. 7.7PCh. 7 - Prob. 7.8PCh. 7 - Solve Problem 7.8 using Eq. (7.29). Ignore the...Ch. 7 - A continuous foundation on a deposit of sand layer...
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- Solve 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_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_forwardHelp me pleasearrow_forward
- Figure 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_forwardA 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_forward11.1 A vertical column load, P = 600 kN, is applied to a rigid concrete foundation with dimensions B = 1 m and L = 2 m, as shown in Figure 11.45. The founda- tion rests at a depth D₁ = 0.75 m on a uniform dense sand with the following properties: average modulus of elasticity, E¸ 20,600 kN/m², and Poisson's ratio, μ = 0.3. Estimate the elastic settlement due to the net applied pressure, Ao, on the foundation. Given: H = 5 m. Foundation BXL Figure 11.45 600 KN V 74 Ao Soil Ms = 0.3 Es = 20, 600 kN/m² Rock = 0.75 m 5.0 marrow_forward
- A rectangular concrete slab, 3 m X 4.5 m, rests on the surface of a soil mass. The load on the slab is 2025 kN. Determine the vertical stress increase at a depth of 3 m (a) under the center of the slab, point A (see Figure); (b) under point B (see Figure); and (c) at a distance of 1.5 m from a corner, point C (see Figure). Compare your results with the Approximate Method and comment on the results. 4.5 m B 3 -1.5 m- Planarrow_forwardIn the figure, the rectangular foundation is loaded with a uniform load of 225 kPa. Accordingly, calculate the vertical stress increase 10 m below point A.arrow_forwardA rectangular concrete slab, 3 m X 4.5 m, rests on the surface of a soil mass. The load on the slab is 2025 kN. Determine the vertical stress increase at a depth of 3 m (a) under the center of the slab, point A (see Figure); (b) under point B (see Figure); and (c) at a distance of 1.5 m from a corner, point C (see Figure ). Compare your results with the Approximate Method and comment on the results.arrow_forward
- Given the soil profile below, determine the Total Stress, Neutral Stress and Effective Stress at points A, B, C, and D. Plot as well the soil pressure diagram. H1= 1.9m H2=0.95m H3=1.9m Please answer this asap. For upvote. Thank you very mucharrow_forwardhelp mearrow_forwardA rectangular concrete slab, 3mx4m, rests on the surface of a soil layer as shown in the figure. The saturated clay has over consolidation ratio of 2, w=38%, and Cr=0.05. Determine the primary consolidation settlement of the clay. The load on the foundation is 2000OKN. Assume that 20% of voids in sand is air and porosity of sand is 0.43. Cc=0.28 Gs=2.65 4 m Fine sand 5 m Clay 2 marrow_forward
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