Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 11, Problem 11.2P
To determine
Calculate the elastic settlement of the foundation.
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Exercise 4.2
The plan of a foundation is given in Fig. 1. The uniform pressure on the
soil is 40 kPa.
Determine the vertical stress increment due to the foundation at a depth
of 5 m below the point X
3 m
3 m
3 m
2 m
1.5 m
2 m
0.5 mt
soil mechanics
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
Rock
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 foundation
Chapter 11 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- Q 1) A concrete foundation rests on the surface of a soil mass. Determine the vertical stress increase at point A. 4 m 1 m 1.5 m PLAN 1.5 m Fondation Load 3000 KN 2 m SECTION A Soilarrow_forwardTwo foundations are located next to each other as follows. Determine the stress increase on a horizontal plane (i.e. - the increase in vertical stress) beneath Point A at a depth of 3 m below the ground surface. The foundations are bearing on the ground surface. -3 m 2.5 m -6 m 5 m ΤΑ o= 90 kPa O = 120 kPa 6 marrow_forwardThe plan of a foundation of uniform thickness for a building is shown in Figure 2. Determine the vertical stress increase at a depth of 10 m below the centroid. The foundation applies a vertical stress of 300 kPa on the soil surface.arrow_forward
- Q-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_forward6.8 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_forwardCivil Engineering 3. For the foundation shown in the figure, estimate the elastic settlement of the foundation using the strain influence factor method 15 years after construction. o1=又 pcf 10 x 10` 5 sand E=750 psi Y=l1opef 7.5 sand E-1200psi Y=120 pcf Sand E=1400psi Jalls pcfarrow_forward
- In the figure, the rectangular foundation is loaded with a uniform load of 225 kPa. Accordingly, calculate the vertical stress increase 10 m below point A.arrow_forwardA concrete foundation rests on the surface of a soil mass. Determine the vertical stress increase at point A. 3 m 1 m 1.5 m A PLAN 1.5 m Fondation Load 2800 KN | 2 m SECTION А Soilarrow_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_forward
- A 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_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. 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 stressof 40 kPa. Determine the change shearing stress in kPa.arrow_forwardThe initial principal stresses at acertain 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 stress of 20 kPa, and a clockwise(with respect to the horizontal plane) shear stress of 40 kPa. Determine the change in shearing stress in kPa.arrow_forward
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