Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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Chapter 6, Problem 6.8P
To determine
Find the average stress
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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 P6.8
7.7
78
Eq. (7.43) and μ, = 0.
Refer to Figure P7.7. Using the procedure outlined in
Section 7.10, determine the average stress increase in the
clay layer below the center of the foundation due to the net
foundation load of 445 kN. [Use Eq. (7.26).]
Figusa M70
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.
Chapter 6 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 6 - A flexible circular area is subjected to a...Ch. 6 - Point loads of magnitude 100, 200, and 400 kN act...Ch. 6 - Refer to Figure P6.3. Determine the vertical...Ch. 6 - Refer to Figure P6.4. A strip load of q = 900...Ch. 6 - Refer to Figure 6.6, which shows a flexible...Ch. 6 - Repeat Problem 6.5 with B1 = 4 ft, B2 = 10 ft, L1...Ch. 6 - Use Eq. (6.14) to determine the stress increase ()...Ch. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - Prob. 6.10P
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- 7.7 Refer to Figure P7.7. Using the procedure outlined in Section 7.10, determine the average stress increase in the clay layer below the center of the foundation due to the net foundation load of 50 tons. [Use Eq. (7.26).] 450 10 A 50 kin tet load Figure P7.7 5nxsn Sand 7-122 1² Sand y 100 lb/m Yu120 vn =0.7 C=0.25 C-0.06 Water table Clay Preconsolidation pressure-2000 lb/n² Carrow_forwardProblem 1. A rectangular foundation 4m x 6m 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 20m. At what depth is the increase in vertical stress below A less than 10% of the surface stress?arrow_forwardProblem 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.arrow_forward
- Refer 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_forwardRefer to Figure P5.5. Using the procedure outlined in Section 5.5, determine the average stress increase in the clay layer below the center of the foundation due to the net foundation load of 900 kNarrow_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
- FIGURE 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_forwardQuestion 01. Using the Fadum chart provided, calculate the total vertical stress due to 200 kPa uniform contact pressure at a depth of 6m below point A for the rectangular raft foundation as per Question 1 part of the attached image. L1 = 7m L2 = 3m B1 = 9m B2 = 4m Question 02. A section of the proposed foundation in Question 01 has an obstruction. A redesign is carried out as shown in Question 2 part of the attached image. The original proposed footprint was maintained, and the section removed from the design has a width of B3 = 2mCalculate the total vertical stress at the same depth below A and the same uniform pressure in Question 01.arrow_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
- 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_forwardProblems 1. In a series of triaxial compression tests on a sandstone, the following repre- sent the stresses at peak load conditions: Test 1 2 3 4 σ3 (MPa) 1.0 5.0 9.5 15.0 σ₁ (MPa) 9.2 28.0 48.7 74.0 Determine values of S; and that best fit the data. 2. The initial state of stress at a point in the ground, in sandstone of Problem 1, is σ3 = 1300 psi σ₁ = 5000 psi The pore water pressure (p.) will be raised by the construction of a reservoir. What value of p will cause fracture of the sandstone in situ (assume fracture occurs at peak stress). 3. For the rock of Problems 1 and 2, what is the value of the principal stress ratio (03/0₁) above which "failure" cannot occur?arrow_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 A O= 90 kPa = 120 kPa 6 marrow_forward
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