Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 9, Problem 9.8P
To determine
Find the elastic settlement of the foundation.
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H.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…
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.
A rigid shallow foundation 1 m 1 m in plan is shown in Figure below. Calculate the elastic settlement at the center
of the foundation.
Ag = 200 kN/m2
1 m
1m x1 m
E, (kN/m²)|
+ 8000
Hy = 0.3
2
+ 6000 -
3
+ 10,000
6/3/2021
ECG 4313 FOUNDATION DESIGN
Chapter 9 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- Example 5.7 Consider a rectangular foundation 2 mx 4 m in plan at a depth of 1.2 m in a sand deposit, as shown in Figure 5.23a. Given: y = 17.5 kN/m³; ā = 145 kN/m², and the following approximated variation of qc with z: 1.2 m q=145 kN/m² ++++y=17.5 kN/m³ z (m) 9c (kN/m²) B=2m- 0-0.5 2250 L=4 m 0.5-2.5 3430 2.5-5.0 2950 Estimate the elastic settlement of the foundation using the strain influence factor method.arrow_forwardRefer 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_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_forward
- For the rigid shallow foundation (2*4m) shown in Fig, calculate Immediate settlement the center of the foundation if . (net pressure qo = 100 kPa. Assume 0.3 X 2 m 0.5 m 3.5 m W.T Q=2000 kN 6 m-3 m y=22 kN/m² Ce=0.805 C₁ = 0.3 e=0.753 OCR = 1.4 G. s Dense Sand Y = 22 kN/m³ Silty Clay Silty Sand Y = 18 kN/m²arrow_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_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_forward
- 10. A flexible foundation is subjected to a uniformly distributed load of q-500 kN/m². Table 3 could be useful. Determine the increase in vertical stress, in kPa, Aoz at a depth of z=3m under point F. B 4m 3m 6m E 10m Table 10.3 Variation of I, with m and n m 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 0.1 0.0047 0.0092 0.0270 0.0279 0.2 0.0132 0.0092 0.0179 0.0259 0.0132 0.0259 0.0374 0.0222 0.0242 0.0435 0.0474 0.0629 0.0686 0.0258 0.0504 0.0528 0.0547 0.3 0.0731 0.0766 0.0794 0.4 0.1013 0.5 0.0198 0.0387 0.1202 0.6 0.0222 0.0435 0.7 0.0242 0.0474 0.0947 0.1069 0.1168 0.1247 0.1311 0.1361 0.1365 0.1436 0.1491 0.1537 0.1598 0.0168 0.0198 0.0328 0.0387 0.0474 0.0559 0.0168 0.0328 0.0474 0.0602 0.0711 0.0801 0.0873 0.0931 0.0977 0.0559 0.0711 0.0840 0.0947 0.1034 0.1104 0.1158 0.0629 0.0801 0.0686 0.0873 0.1034 0.8 0.0258 0.0504 0.0731 0.0931 0.1104 0.9 0.0270 0.0528 0.0766 0.0977 0.1158 0.0794 0.1013 0.1202 0.0832 0.1263 1.4 0.1300 1.6 0.0306 0.0599 0.0871 0.1114 0.1324 1.8 0.0309 0.0606…arrow_forwardProblem 1: For the data shown below (figure of problem. 1) for shallow foundation, determine the elastic settlement of the foundation. using the improved equation? DE1.0m 9-210 kN/m Er = 15x 10° kN/m2 t=0.23 B-1.0m L=2.0m H=2.0m Silty sand layer As = 0.4 E, = 9000 kN/m2 k = 500 kN/m²/m Rigid layer Figure problem 1.arrow_forward3 Given: T- shape foundation as shown in figure is loaded with a uniform load of 120 kN/m². Required: the increment in vertical stress at point (P) at a depth of 5m. 0.6 0.6 0.6 0.6 3m m n I, 1.5 0.3 0.0629 1.2 0.1431 9m 3m 0.1069arrow_forward
- |A rigid shallow foundation 1m x 1m in plan is shown in the following figure. Calculate the elastic settlement at the center and corner of the foundation. Ao = 200 kN/m2 1 m 1 m X 1 m E, (kN/m?) + 8000 Hy = 0.3 + 6000 3 10,000 Rock (m).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_forwardRefer to Figure 5.12. For a rectangular foundation on layered sand, given:●● B = 4 ft, L = 6 ft, H = 2 ft, Df = 3 ft●● γ1 = 98 lb/ft3, Φ'1 = 30º, c'1 = 0●● γ2 = 108 lb/ft3, Φ'2 = 38º, c'2 = 0Using a factor of safety of 4, determine the gross allowable load the foundation can carry.arrow_forward
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