Principles of Foundation Engineering, SI Edition
8th Edition
ISBN: 9781305446298
Author: Braja M. Das
Publisher: Cengage Learning US
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11.1
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 m
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
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 2014
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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- A circular foundation (D = 6 m) is built on a construction site where the soil profile is shown in Figure 5 below. The circular foundation applies a uniform pressure of 80 kPa to the surface of clay. The properties of the clay are: Specific gravity, G₁ Saturated unit weight at Compression index Ce Recompression index Cr Consolidation coefficient, c Over-consolidation ratio, OCR 10 m 6m Ø Clay Impervious rock Figure 5 2.6 20 kN/m³ 0.25 0.10 2.5 m²/year 1.2 (b) Calculate the stress increase at the center of the clay layer and 1) beneath the foundation center and 2) beneath the edge of the foundation; (c) Calculate the consolidation settlement beneath the center of the foundation due to the stress increase; (d) Determine the settlement at the center of the clay after 1 year of applying the pressure; (e) A 50 mm thick clay sample was taken from the site and consolidated in the oedometer, how long it will take for the clay to reach 90% consolidation?arrow_forward8.4 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_forward= Figure 2 shows a rectangular shallow foundation. The foundation measures 1.5 m x3 m (B x L) in plan. The clay layer is normally consolidated with: Ce=0.27; He 3 m; e 0.92; average effective stress on the clay layer due to applied foundation load Ao=24 kN/m². Determine the primary consolidation settlement of the foundation. Sand Y = 16.5 kN/m³ Sand Yat 17.8 kN/m³ Normally consolidated clay Ysat 18.2 kN/m³ = 0.92; C = 0.27 170 kN/m² 1m 1.5 m Ground water table --- --- 15 m 3 marrow_forward
- 8.4 A rectangular foundation is shown in Figure P8.2, given B=2m, 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 y,t = 17.5 kN/m’, C, = 0.12, and e, = 1.1. %3D G.W.T. D,=2 m = 240 kN/m² Clay e. = .IO H= 6 m 1. Rock Figure P8.2 S,(average) = µ,M0 qB (v = 0.5) E (8.24) (8.35)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_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
- Problem 2. Determine the average (top, middle, and bottom) stress increase in the clay layer below the center of foundation due to foundation load of 50 tons. 50 ton (net load) Sand 100 Ib/ 4:5 t Groupdwater table 5 ft X 5 ft *Sand 122 lb/ft 3 ft A120 Ib/ft 0.7 C, = 0.25 10 ft 0,06 Preconsolidation pressure = 2000 lb/ft?arrow_forwardA normally consolidated clay layer 4.91 m. thick has a void ratio of 1.12. Liquid limit is equal to 35 and the average effective stress on the clay layer was 81 kPa. The average stress on it is increased to 125 kPa. as result of the construction of a foundation. If the clay layer is preconsolidated, compute the consolidation settlement in millimeters if the preconsolidation pressure is 93 KPa. Use Cs = 1/7Cc.arrow_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
- Q3c. 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 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 u, = 0.4. Foundation Ao. B×L Soil %3D Poisson's ratio E, - modulus of elasticity Rockarrow_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
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