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 8, Problem 8.3P
A point load of 1000 kN is applied at the ground level. Plot the variation of the vertical stress increase Δσ with depth at horizontal distance of 1 m, 2 m, and 4 m from the load.
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A pole carries a vertical load of 200 kN. Determine the vertical total stress increase in kPa at a depth 5 m directly below the pole
Consider a circularly loaded flexible area on the ground surface. Given: radius of the circular area, R = 3 m; uniformly distributed load, q = 250 kN/m 2.Calculate the vertical stress increase Δσ at a point located 5 m (z) below the ground surface (immediately below the center of the circular area).
Use Eq. (6.14) to determine the stress increase Δσ at z = 10 ft below the center of the area described in Problem 6.5.
Chapter 8 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 8 - Four point loads with the same magnitude of P are...Ch. 8 - A point load of 500 kN is applied at the ground...Ch. 8 - A point load of 1000 kN is applied at the ground...Ch. 8 - A 10 ft diameter flexible loaded area is subjected...Ch. 8 - For the flexible loaded area in Problem 8.4, plot...Ch. 8 - Two line loads q1 and q2 of infinite lengths are...Ch. 8 - A 9 ft wide and infinitely long flexible strip...Ch. 8 - Figure P8.8 shows a flexible rectangular raft that...Ch. 8 - Prob. 8.9PCh. 8 - Prob. 8.10P
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- A point load of 500 kN is applied at the ground level. Plot the lateral variation of the vertical stress increase at depths of 2 m, 3 m, and 4 m below the ground level.arrow_forwardA 10 ft diameter flexible loaded area is subjected to a uniform pressure of 1200 lb/ft2. Plot the variation of the vertical stress increase beneath the center with depth z = 0 to 20 ft. In the same plot, show the variation beneath the edge of the loaded area.arrow_forwardRefer to Figure 10.48. If R = 4 m and hw = height of water = 5 m, determine the vertical stress increases 2 m below the loaded area at radial distances where r = 0, 2, 4, 6, and 8 m. Circular contact area of radius R on the ground surface Figure 10.48arrow_forward
- Repeat Problem 10.12 for q = 700 kN/m2, B = 8 m, and z = 4 m. In this case, point A is located below the centerline under the strip load. 10.12 Refer to Figure 10.43. A strip load of q = 1450 lb/ft2 is applied over a width with B = 48 ft. Determine the increase in vertical stress at point A located z = 21 ft below the surface. Given x = 28.8 ft. Figure 10.43arrow_forwardFor the same line loads given in Problem 10.8, determine the vertical stress increase, z, at a point located 4 m below the line load, q2. Refer to Figure 10.41. Determine the vertical stress increase, z, at point A with the following values: q1 = 110 kN/m, q2 = 440 kN/m, x1 = 6 m, x2 = 3 m, and z = 4 m. Figure 10.41arrow_forwardRefer to Figure 8.24. Determine the vertical stress increase, , at point A with the following values: q1 = 100 kN/m x1 = 3 m z = 2 m q2 = 200 kN/m x2 = 2 m FIG. 8.24 Stress at a point due to two line loadsarrow_forward
- Refer to Figure 8.13. The magnitude of the line load q is 45 kN/m. Calculate and plot the variation of the vertical stress increase, between the limits of x = 10 m and x = +10 m, given z = 4 m. FIG. 8.13 Line load over the surface of a semiinfinite soil massarrow_forwardRefer to the flexible loaded rectangular area shown in Figure 10.47. Using Eq. (10.36), determine the vertical stress increase below the center of the loaded area at depths z = 3, 6, 9, 12, and 15 m. Figure 10.47arrow_forwardRefer to Figure 8.27. The flexible area is uniformly loaded. Given: q = 300 kN/m2. Determine the vertical stress increase at point A located at depth 3 m below point A (shown in the plan). FIG. 8.27arrow_forward
- Refer to Figure 10.42. Due to application of line loads q1 and q2, the vertical stress increase at point A is 58 kN/m2. Determine the magnitude of q2. Figure 10.42arrow_forwardUse Eq. (6.14) to determine the stress increase () at z = 10 ft below the center of the area described in Problem 6.5. 6.5 Refer to Figure 6.6, which shows a flexible rectangular area. Given: B1 = 4 ft, B2 = 6 ft, L1, = 8 ft, and L2 = 10 ft. If the area is subjected to a uniform load of 3000 lb/ft2, determine the stress increase at a depth of 10 ft located immediately below point O. Figure 6.6 Stress below any point of a loaded flexible rectangular areaarrow_forwardConsider a circularly loaded flexible area acting on the ground surface. The radius of the circular area is 20 ft and the uniformly distributed load is q = 1,000 lb/ft2. Calculate the vertical stress increase, Δσz, at a depth of 10 ft for a radius of 0 ft (immediately below the center of the circular area) and 20 ft (immediately below the edge of the circular area).arrow_forward
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