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 17, Problem 17.6P
To determine
Find the elastic settlement of the foundation.
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A rigid foundation is subjected to a vertical column load. figure and details below
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
Rock
Subject: Geotechnical engineering
Answer must be 4.95mm
Chapter 17 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 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 Dr Soil Hg = Poisson's ratio E, modulus of elasticity H %3D Rock O Cengage Leaming 2014arrow_forwardH.W 2.pdf > H.Q 6 A flexible foundation measuring 1.5 m x 3 m is supported by a saturated clay. Given: Dr = 1.2 m, H = 3 m, Es (clay)= 600 kN/m2, and qo = 150 kN/m?. Determine the average elastic settlement of the foundation. H.O 7 Figure 7.3 shows a foundation of 10 ft x 6.25 ft resting on a sand deposit. The net load per unit area at the level of the foundation, qo, is 3000 Ib/ft?. For the sand, u, = 0.3, Es = 3200 Ib/in?, Df = 2.5 ft, and H = 32 ft. Assume that the foundation is rigid and determine the elastic settlement the foundation would undergo. H.O 8 Determine the net ultimate bearing capacity of mat foundations with the following characteristics: c, = 2500 Ib/ft, = 0, B = 20 ft, L = 30 ft, D, = 6.2 ft Foundation Engineering I H.W 2 H.O 9 A 20-m-long concrete pile is shown in Figure below. Estimate the ultimate point load Q, by a. Meyerhof's method b. Coyle and Castello's method Concrete pile 460 mm x 460 mm Loose sand 20m y I86 ANi Dee s H.O 10 A concrete pile 20 m long…arrow_forwardA vertical column load, P = 600 kN, is applied to a rigid square concrete foundation. The foundation rests at a depth Df= 0.75 m on a uniform dense sand with the following properties: average modulus of elasticity, Es = 20,600 kN/m², and Poisson's ratio, µs = 0.3. Calculate the required foundation dimensions if the allowable settlement under the center of the foundation is 25mm. 600 kN Foundation 0.75 m Вхв Soil Hs = 0.3 E, = 20, 600 kN/m² 5.0 m Rockarrow_forward
- Q1:arrow_forwardProblem 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_forwardQ-1) Determine the immediate settlement of the foundation shown in Figure (1). The undrained elastic modulus varies with depth, as shown in the figure, and v₁ = = 0.45. [Answer = 26 mm]. LETETEI 2L = 12 m -8 m -4m +3m+5m 5000 kN Į Layer 1 Layer 2 6 m 2B = 10 m 4 m 4 m 8m Figure (1) 4000 kPa 8000 kPa Eu 10,000 kPa 30,000 kPaarrow_forward
- Refer to Figure 7.1. A flexible foundation measuring 1.5 m x 3 m is supported by a saturated clay. Given: Df = 1.2 m, H = 3 m, Es (clay) = 600 kN/m2, and qo = 150 kN/m2. Determine the average elastic settlement of the foundation.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_forwardThe plan of a mat foundation is shown in Figure 1. Calculate the soil pressure at points A, B, C, D, E and F. (Note: All column sections are planned to be 450mmX450mm). Determine factor of safety of the Mat.arrow_forward
- refer to the figure below. Determine the average stress increase in the clay layer below the center of the foundation due to the net foundation load of 50 tons.arrow_forwardRefer 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, Φ' = 40º, c' = 0, and γ = 17 kN/m3. Using a factor of safety of 3, determine the gross allowable load the foundation can carry. Use Eq. (5.3).arrow_forwardELABORATE Try solving the following problem: Practice Problem: A rigid foundation is subjected to a vertical column load, P = 550 kN, as shown in Figure 4.9. Estimate the elastic settlement due to the net applied pressure, Ao, at the center of the foundation. Given: B = 2 m; L = 3 m; Df = 1.5 m; H = 5 m; Es = 13,500 kN/m²; and μs = 0.5. SAP Foundation BXL D Soil H, Poisson's ratio. E₂ -modulus of elasticity H Rock Figure 4.9 Ag Cengage Leaming 2014arrow_forward
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