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 17.8P
To determine
Find the settlement of the foundation.
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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 CamScanner
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…
Problem II. The initial principal stresses at a certain depth in a clay soil are 100 kPa on the horizontal plane
and 50 kPa on the vertical plane. Construction of a surface foundation induces additional stresses consisting
of a vertical stress of 45 kPa, a lateral stress of 20 kPa, and a counterclockwise (with respect to the horizontal
plane) shear stress of 40 kPa.
a.
Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation.
b. Determine the change in magnitude of the principal stresses.
C.
the change in maximum shear stress
d. the change in orientation of the principal stress plane resulting from the construction of the foundation.
Chapter 17 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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Similar questions
- 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_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_forwardThe initial principal stresses at a certain depth in a clay soil are 200 kPa on the horizontal plane and 100 kPa on the vertical plane. Construction of a surface foundation induces additional stresses consisting of a vertical stress of 45 kPa, a lateral (horizontal) stress of 20 kPa, and a counterclockwise (with respect to the horizontal plane) shear stress of 40 kPa. Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation. Determine (a) the change in magnitude of the principal stress, (b) the change in maximum shear stress, and (c) the change in orientation of the principal stress plane resulting from the construction of the foundation.arrow_forward
- A 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_forwardQ.8 A long foundation 0.6 m wide carries a line load of 100 kN/m. Calculate the vertical stress, at a point P, the coordinates of which are x = 2.75 m, and z = 1.5 m, where the x coordinate is normal to the line load from the central line of the footingarrow_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
- 6.8 Refer to Figure P6.8. Using the procedure outlined in Section 6.8, determine the average stress increase in the clay layer below the center of the foundation due to the net foundation load of 50 ton. [Use Eq. (6.28).] 4:5 ft 3 ft 50 ton (net load) 10 ft 5 ft x 5 ft Sand y=100 lb/ft! Sand Yat=122 lb/ft³ Groundwater table Ysat ⇒120 lb/ft³ = 0.7 C=0.25 -C, 0,06 Preconsolidation pressure = 2000 lb/ft² Figure P6.8arrow_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_forward10. 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_forward
- A 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_forwardThe initial principal stresses at a certain depth in a clay soil are 100 kPa on the horizontal plane and 50 kPa on the vertical plane (Figure No. 1). Construction of a surface foundation induces additional stresses (Figure No. 2) consisting of a vertical stress of 45 kPa, a lateral stress of 20 kPa and a counter clockwise (with respect to the horizontal plane) shear stress of 40 kPa. a. Plot Mohr's circle for the initial state of the soil b. Plot Mohr's circle for the final state of the soil C. Determine the change in magnitude of the principal stresses d. Determine the change in maximum shear stress e. Determine the change in the orientation of the principal stress plane 100 kPa 45 kPa Figure No. 1 45 kPa 40 kPa Figure No. 2 20 kPaarrow_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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