Bundle: Principles Of Geotechnical Engineering, Loose-leaf Version, 9th + Mindtap Engineering, 2 Terms (12 Months) Printed Access Card
9th Edition
ISBN: 9781337583817
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
Bundle: Principles Of Geotechnical Engineering, Loose-leaf Version, 9th + Mindtap Engineering, 2 Terms (12 Months) Printed Access Card
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- 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
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- 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_forwardA rectangular foundation 4 m x 6 m (Figure 1) transmits a stress of 100 kPa on the surface of a soil deposit. Plot the distribution of increases of vertical stresses with depth under points A, B, and C up to a depth of 20 m. At what depth is the increase in vertical stress below A less than 10% of the surface stress? Can I get a detailed explanation to the solution of this question? Including the finding of as and the graphs and finding the surface stress, load and increase in stress using the oz=4qsI methodarrow_forward
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