Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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Textbook Question
Chapter 4, Problem 4.14P
Consider a continuous foundation of width B = 1.4 m on a sand deposit with c′ = 0, ф′ = 38°, and γ = 17.5 kN/m3. The foundation is subjected to an eccentrically inclined load (see Figure 6.33). Given: load eccentricity e = 0.15 m, Df = 1 m, and load inclination β = 18°. Estimate the failure load Qu(ei) per unit length of the foundation
- a. for a partially compensated type of loading [Eq. (6.89)]
- b. for a reinforced type of loading [Eq. (6.90)]
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Students have asked these similar questions
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
7.14 Refer to Figure 7.15. For a foundation on a layer of sand, given: B = 5 ft, L = 10 ft,
d = 5 ft, B = 26.6°, e = 0.5 ft, and & = 10°. The Pressuremeter testing at the site pro-
duced a mean Pressuremeter curve for which the pam) versus AR/R, points are as follow.
AR/R.
(1)
P,(m) (lb/in.?)
(2)
0.002
7.2
0.004
24.2
0.008
32.6
0.012
42.4
0.024
68.9
0.05
126.1
0.08
177.65
0.1
210.5
0.2
369.6
What should be the magnitude of Q, for a settlement (center) of 1 in.?
Foundation
BxL
В
Figure 7.15 Definition of parameters-B,
A continuous foundation with a width of 1 m is located on a slope made of clay soil. Refer to Figure 5.19 and let Df = 1 m, H = 4 m, b = 2 m, γ = 16.8 kN/m3, c = cu = 68 kN/m2, Φ= 0, and β = 60°.a. Determine the allowable bearing capacity of the foundation. Let FS = 3.b. Plot a graph of the ultimate bearing capacity qu if b is changed from 0 to 6 m.
Chapter 4 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 4 - For the following cases, determine the allowable...Ch. 4 - A square column foundation has to carry a gross...Ch. 4 - Prob. 4.3PCh. 4 - The applied load on a shallow square foundation...Ch. 4 - A column foundation (Figure P6.9) is 3 m × 2 m in...Ch. 4 - Prob. 4.6PCh. 4 - For the design of a shallow foundation, given the...Ch. 4 - An eccentrically loaded foundation is shown in...Ch. 4 - Prob. 4.9PCh. 4 - For an eccentrically loaded continuous foundation...
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- 3. A square foundation is constructed in a soil deposit as shown in the figure below. Assume that the groundwater table is 6 meters below the foundation. The applied load on the shallow square foundation makes an angle of 10° with the vertical. Use FS = 3 and determine the allowable load. (Use general bearing capacity equation.) 2 m 6 m 4 m y = 17.5 kN/m³ p' = 33° c' = 20 kN/m² Ysat = 20k N/m³ Groundwater tablearrow_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_forward3. A square foundation is constructed in a soil deposit as shown in the figure below. Assume that the groundwater table is 6 meters below the foundation. The applied load on the shallow allowable load. (Use general bearing capacity equation.) square foundation makes an angle of 10° with the vertical. Use FS 3 and determine the 2 m 6 m 4 m y = 17.5 kN/m³ 4' = 33° c' = 20 kN/m² Ysat = 20k N/m³ Groundwater tablearrow_forward
- A long foundation 0.6 m wide carries a line load of 100 kN/m. Calculate the vertical stressi ncrease at a point P, the coordinates of which are x = 2.5 m, and z = 1.5m, where the x-coordinate is normal to the line load from the central line of the footing. a. 3.05 kPa b. 1.69 kPa c. 4.08 kPa d. 5.12 kPa) e. 2.55 kPaarrow_forwardA continuous foundation, supported by sand, has a width of 2 m and the depth of foundation is 1.5m. The known soil characteristics are as follows: ϕ’ = 40°, c’ = 0, and γ = 16.5 kN/m³. If the loadeccentricity is 0.2 m, determine the ultimate load per unit length of the foundation.(Ans: ???? =5,260??)arrow_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_forward
- An eccentrically loaded continuous foundation is shown in Figure P4.11. Determine the ultimate load Qu per unit length that the foundation can carry. Use the reduction factor method [Eq. (4.63)].arrow_forwardProblem 2: A square foundation is 1.5 m by 1.5 m in plan with other characteristics shown in the figure. The soil supporting the foundation has a friction angle ø = 20° and c = 15.2 kN/m?. The unit weight of the soil is 17.8 kN/m³. Determine the allowable gross load on the foundation with a factor of safety of 4. Use general shear failure with Nc = 17.69 ; Nq = 7.44 ; Ny = 3.64 %3D %3D %3D Qall Y = 17.8 kN/m3 e = 0.60 Gs = 2.65 D;= 1.0 m GWT D = 0.4 marrow_forwardRefer to Figure 5.2. A square foundation measuring 1.5 m x 1.5 m is supported by a saturated clay layer of limited depth underlain by a rock layer. Given that Df = 1 m, H = 0.7 m, cu = 115 kN/m2, and γ = 18.5 kN/m3, estimate the ultimate bearing capacity of the foundation.arrow_forward
- Question 1) For a shallow foundation measuring (1.7 m x 2.2 m) as shown below: , A. Estimate the elastic settlement proposed by Mayerhof. Then, B. Estimate the elastic settlement proposed by Bowles, if the water table rises 1.5 m. Then, Use yw=10 kN/m³ qnet= 1.2 MN/m2 G.S 1.5 m Sand Yd=16 kN/m³ Ysat= 17 kN/m3 %3D 2.5 m N60=52 V W.T. Silty Sand Ya=18 kN/m³ Ysat = 18.5 kN/m? N60=52 3.5 m Sand Ya=19 kN/m3 Ysat = 22 kN/m³ e, = 0.4, Ae=0.04 , o'= 194 kN/m2 5 m Cc= 0.3, Cs= 0.2 , Ca= 0.05 N60=60 CS Scanned with CamScannerarrow_forwardA 8 m layer of sand, of saturated unit weight 22 kN/m3, overlies a 6 m layer of clay, of saturated unit weight 27 kN/m3. A foundation carrying 1200 KN load is to be founded on the soil layer. If the clay is normally consolidated and the increase in effective pressure due to the foundation load at the center of clay is 27 kN/m2, Soil parameters are Cc = 0.25, eo = 1.0. Assume required data •Draw the soil profile diagram in detail, mentioning all the soil properties with the foundation details. •Calculate the consolidation settlement at the center of the clay layer.arrow_forwardA square flexible foundation of width B = 2 m applies a uniform pressure of 17 kN/m² to the underlaying ground. Determine the vertical stress increase using at a depth of 1m below the center using: a) 2:1 method b) M and N method c) Stress isobars d) Newmark Methodarrow_forward
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