Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 9, Problem 9.7P
To determine
Find the elastic settlement foundation in sand.
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Students have asked these similar questions
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 kPa
Estimate the increase in vertical stress at 0.5 m depth intervals, within the clay layer, below point A
(See figure below). The foundation exerts a uniform vertical stress of 120 kPa at ground level. Using
these values estimate the settlement due to the clay layer. (Hand in any graphs used)
5m
5m
2m
3m
Very Dense Sand
2m
1.5m
Clay E=3.5 MPa
2m
Bedrock
Soil profile
A
Plan of building
3m
Soil profile and plan for Question 4
3m
FA
Two 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
A
O= 90 kPa
= 120 kPa
6 m
Chapter 9 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- Solve Problem 7.8 using Eq. (7.29). Ignore the post-construction settlement. 7.8 Solve Problem 7.4 with Eq. (7.20). Ignore the correction factor for creep. For the unit weight of soil, use γ = 115 lb/ft3. 7.4 Figure 7.3 shows a foundation of 10 ft × 6.25 ft resting on a sand deposit. The net load per unit area at the level of the foundation, qo, is 3000 lb/ft2. For the sand, μs = 0.3, Es = 3200 lb/in.2, Df = 2.5 ft, and H = 32 ft. Assume that the foundation is rigid and determine the elastic settlement the foundation would undergo. Use Eqs. (7.4) and (7.12).arrow_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_forward75% consolidation in a laboratory test? 11.21 Refer to Figure 11.48. A square foundation, 2.5 × 2.5 m in size, supports a col- umn load of 478 kN. The soil characteristics are given in the figure. Field moni- toring indicated that the foundation settlement was 46 mm at the end of 2 years a. Estimate the average stress increase in the clay layer due to the applied load. b. Estimate the primary consolidation settlement. c. What is the degree of consolidation after 2 years? d. Estimate the coefficient of consolidation for the pressure range. e. Estimate the settlement in 3 years. 478 kN 2.5 m x 2.5 m 1.5 m Y = 16 kN/m GWT 1.75 m Yu = 18.8 kN/m³ w = 19% G, = 2.71 LL = 37 3.5 m o = 65 kN/m? C,= 1/SC. %3D O Sand A Clay Figure 11.48arrow_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_forward2. A series of consolidated, undrained triaxial tests were carried out on specimens of a saturated clay under no backpressure. The test data at failure are summarized: Confining Pressure (kPa) Deviator Stress (kPa) Pore Water Pressure (kPa) 150 192 80 300 341 154 450 504 222 a. Draw the Mohr circles and find the cohesion and friction angles in terms of effective stresses. b. Compute Skempton’s A-parameter at failure for all three specimens. c. Is the soil normally consolidated or overconsolidated? Why? d. Another specimen of the same clay that was consolidated under a cell pressure of 250 kPa was subjected to a consolidated, drained triaxial test. What would be the deviator stress at failure?arrow_forwardRefer to Figure 5,determine th eaverage stress increase in the clay layer below the center of the foundation due to the net foundation load of 490,500kN (net load). Using Eq.(7.25)arrow_forward
- Estimate the ultimate consolidation settlement under the centerline of a 15 X 15 m mat foundation. The mat is 1 m thick reinforced concrete and the average stress on the surface of the slab is 75 kPa. The soil profile is shown below. Oedometer tests on samples of the clay provide these average values. ’p = 130 kPa, Cc = 0.40, Cr = Cs = 0.03 Neglect any settlements due to the sand layer. Please and thank you!! :)arrow_forwardA square footing supporting a column applies a uniform pressure of 100 kPa on top of a deep clay deposit. Based on the bulbs of pressure developed below the footing shown in the following figure, which of the following statements are correct (select all that apply)? A.Immediately after construction, the effective vertical stress developed at Points B and C is the same. B.Immediately after construction, the excess pore water pressure (∆u) developed at Point B is lower than ∆u developed at Point A. C.After construction, the excess pore water pressure at Point C dissipates faster than that dissipated at Point B. D.arrow_forwardA 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_forward
- . Borings indicate that at a Staten Island, NY site, the top 6 meters is a 2) loose sand with a groundwater level at 3 meters below the ground surface. Below the sand is a 12 meter thick soft clay stratum. Assume sand unit weights are ymoist = 15 kN/cubic meter and ysat = 16 kN/cubic meter. Assume clay ysat = 20 kN/cubic meter. Calculate total, pore and effective stresses at 4, 13 and 18 meters deep.arrow_forwardQ 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_forwardEstimate the ultimate consolidation settlement under the centerline of a 25 x 25 meter mat foundation. The mat is 1.5 meter thick reinforced concrete (ϒconcrete = 23.6 kN / m3), and the average stress on the surface of the slab is 125 kPa. The soil profile is shown in the figure below. Lab testing on samples of the clay showed that the clay is normally consolidated and that Cc = 0.40, Cr = 0.03, and eo = 1.13. Neglect any settlements due to the sand layer. Divide the clay layer into four thinner layers of thickness 2.0, 2.0, 3.0, and 3.0 meters.arrow_forward
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