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 6.10P
To determine
Find the average stress
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Problem 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?
A 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?
a 6m square foundation exerts a uniform pressure of 300kPa on a soil.Determine a.vertical stress increments due to the foundation load to a depth of 10m below its center
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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- 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_forwardA 300 mm 450 mm plate was used in carrying out a plate loading test in a sand, during which the plate settled 5 mm under the applied pressure of 250 kN/m2. a. What is the coefficient of subgrade reaction for a 300 mm wide square plate? b. What would be the coefficient of subgrade reaction of a 2 m 3 m foundation?arrow_forwardRefer 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.arrow_forward
- Determine the increase in vertical stress at a depth of 5 m below the centroid of the foundation shown in Figure 2.arrow_forwardIn Problem 16.3, if there was a surcharge of 20 kN/m2 at the ground level, what would be the total horizontal normal stresses at A and B? Use the results from Problem 16.3. 16.3 The soil profile at a site is shown Figure P16.3. Find the total horizontal normal stresses at A and B, assuming at-rest conditions.arrow_forwardRedo Problem 6.12 using Figure 6.15. 6.12 Refer to Problem 6.1. Using Eqs. (6.3) and (6.29), estimate the average stress increase (av) below the center of the loaded area between depths of 3 m and 6 m. 6.1 A flexible circular area is subjected to a uniformly distributed load of 150 kN/m2 (Figure 6.2). The diameter of the load area is 2 m. Determine the stress increase in a soil mass at points located 3 m below the loaded area at r = 0, 0.4 m, 0.8 m, and 1 m. Use Boussinesqs solution. Figure 6.2 Increase in pressure under a uniformly loaded flexible circular areaarrow_forward
- The 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_forwardDetermine the internal friction angle of a cohesionless soil that has been tested under a normal stress of 200 kN/m2 and and fails at shear stress of 100 kN/m2.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_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_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_forward(b) Figure Q2 (b) shows the ring foundation to support a silo. Given R1 = 3 m while R2 =6 m. The total vertical load is 7500 kN. (i) Calculate and plot the vertical stress increase with depth up to 7 m (use 1 minterval) under the centre of the ring (point O).(ii) Determine the maximum vertical stress increase and its location.arrow_forward
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