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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Question
A uniformly distributed line load of 500kN/m is acting on the ground surface. Based
on Boussinesq's theory, the ratio of vertical stress at a depth 2 m to that at 4 m right
below the line of loading is
1.
Calculate total stress, pore-water pressure and effective stress at
location A. If the water table rises to ground surface level what
will be the increase or decrease in effective stress at location A.
Ground Surface
4 m
5m
6 m
3
= 1600 kg/m
P₁=
3
P= 1750 kg/m
sat
3
PF 800 kg/m
sub
A
Sand
Silty
Sand
Silty
Clay
refer to the figure due to application of line load q1 and q2 . the vertical stress increase at point a is 42 kn/m2 determine the magnitude of q
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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- Refer 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_forwardA 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_forwardRepeat 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_forward
- Refer 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_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_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_forward
- An electric power transmission pole is 12 m above ground level and embedded 2 m into the ground. The butt diameter is 450 mm and the tip diameter (the top of the pole) is 320 mm. The weight of the pole, cross arms, and wires is 33 kN. Assuming the pole transmits the load as a point load, find the change in vertical stress in kPa at 2 m depth.arrow_forwardA concentrated load of 2000 kN is applied at the ground surface. Determine the vertical stress at a point P which is 6m directly below the load. Also calculate the vertical stress at a point R which is at a depth of 6m but at a horizontal distance of 5m from the axis of the load.arrow_forward(A point load of 100 kN is acting at the ground surface. Find: A. Value of the increase in vertical stress 2meters below the ground. B. Value of the increase in vertical stress 4meters below the groundarrow_forward
- A line load and a point load are resting on the ground level as shown. Calculate for the net stress increase at point A using Boussinesq Analysis. (3.4) 200 kN/ 3m 3m 500kN 3m 3m Alarrow_forwardThe flexible area shown in Figure is uniformly loaded. Given that q = 300kN/m² determine the vertical stress increase at point A. 8m 1.5m-radius 3m A from chart Take value of 16 Plan 300 kn/m All 3m farrow_forwardThe soil profile shown consists of dry sand (4-m thick) which overlies a layer of clay (3-m thick). Ground water table is located at the interface of the sand and clay. a. If the water table rises to the top of the ground surface, what is the change in the effective stress (in kPa) at the bottom of the clay layer? Round off to two decimal places. (ANSWER: 26.336) b. Compute the effective stress at the bottom of the clay layer in kPa. Round off to three decimal places (ANSWER: 97.686) c. How many meters must the ground water table rise to decrease the effective stress by 14 kPa, at the bottom of the clay layer? Round off to two decimal places (ANSWER: 2.13)arrow_forward
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Stress Distribution in Soils GATE 2019 Civil | Boussinesq, Westergaard Theory; Author: Gradeup- GATE, ESE, PSUs Exam Preparation;https://www.youtube.com/watch?v=6e7yIx2VxI0;License: Standard YouTube License, CC-BY