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 17.7P
To determine
Find the elastic settlement of the foundation.
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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,
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…
A circular foundation having qo=720 kPa and
radius of 2m is placed on a soil section as
shown in figure (1), if the ground water level
was located at N.G.S, for the soil element (A)
which located under the center of the
foundation at the middle of clay layer.
Calculate the followings:
Sandy soil
Ysa19.74 kN/m³
eo = 0.54
Clayey soil
Ysa19.18 kN/m³
e =0.8
Calculate the Effective stress
Choose... +
at soil element (A) in (kPa)
The increase in stress (kPa)
due to footing load (Use
Choose... +
Approximated method) at soil
element (A)
7m
Chapter 17 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 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/m³arrow_forwardExample 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_forwardConsider the case of a continuous foundation with B = 2 m, Dr = 2.0 m, and H=2.0 m. The following are given for the two soil layers: = 32° Top sand layer (stronger layer): Unit weight y₁ = 17.5 kN/m³, 1= 32°, C'₁ = 0 Bottom clay layer (weaker layer): Unit weight y2 = 16.5 kN/m³, 2= 0, Cu (2) = 25 kPa, Determine the gross ultimate load per unit length of the foundation. Ne N₁ Ny 35.49 23.18 30.22arrow_forward
- A sandstone bed with RQD = 70% and y = 26.0 kN/m³ lies beneath 1.5 m of overburden soil. A 2.0 m X 2.0 m square foundation is to be placed on top of the sandstone rock (i.e., at a 1.5 depth below the ground level) to carry a column load. The unit weight of the soil is 18.0 kN/m³. Assuming the rock strength parameters from Problem 7.17,arrow_forwardA 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_forwardQ3c. 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_forward
- 10.10 A 300 mm × 450 mm plate was used in carrying out a plate loading test in a sand, where the plate settled 5 mm under the applied pressure of 250 kN/m². a. What is the coefficient of subgrade reaction for a 300 mm wide square plate? b. What would be the coefficient of subgrade reaction of a 2 m x 3 m foundation?arrow_forwardA sandstone bed with RQD=70% and γ=26.0 kN/m3 lies beneath 1.5m of overburden soil. A 2.0m x 2.0m square foundation is to be placed on top of the sandstone rock (i.e., at a depth below the ground level) to carry a column load. The unit weight of the soil is 18.0 kN/m3. Assuming the rock strength parameters has quc=50 MN/m2 and ∅=35°, determine the maximum load that can be allowwd on the foundation with the safety factor FS=3. The compressive strength f'c of concrete is 30.0 MN/m2.arrow_forwardQuestion 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_forward
- Foundation 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_forwardFIGURE P8.9 square foundation, 15 m wide, carries a net column load of 500 kN as shown in Figure P8.11. Determine the average stress increaso beneath the center of the foundation in the clay layer. a. Using Eq. (8.25), b. Using Eqs. (8.26) and (8.10), and c. Using Eqs (8.26) and (8. 15). 8.11 A 500 KN (net load) Sand 0.9 m Clay 3 marrow_forwardProblem (4.10): The foundation plan shown in the figure below is subjected to a uniform contact pressure of 40 kN/m². Determine the vertical stress increment due to the foundation load at (5m) depth below the point (x). →|1.5m + 1.5m 2m 3 0.5m 2m + 3m 3m 3marrow_forward
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