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 6.12P
Refer to Problem 6.1. Using Eqs. (6.3) and (6.29), estimate the average stress increase (Δσav) 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 150kN/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 Boussinesq’s solution.
Figure 6.2 Increase in pressure under a uniformly loaded flexible circular area
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1.A dry sand is known to have an angle of internal friction of 29. A triaxial test is planned, where the confining pressure will be 41 kPa. What is the maximum axial stress, in kPa, (major principal stress) that can be applied? Calculate the value to 1 decimal place. Do not provide units in your answer.
2.A clay soil is subjected to a triaxial test under unconsolidated-undrained conditions. At failure, the major and minor principal stresses are 8401 psf and 4875 psf, respectively. What is the shear strength of this soil if the confining pressure is doubled? Provide your answer in psf with no decimals.
1- A soil profile consisting of three layers is shown in Figure below.
1. Calculate the values of o, u, and o' at points A, B, C, and D. In each case, plot the variations of o, u, and o'
with depth.
2. What is the change in effective stress at point C if:
the water table drops by 2 ft?
а.
b. the water table rises to the surface up to point A?
Layer
Thickness
Soil Parameter
no.
1
H1= 3 ft
YF110 lb/ft³
2
H2= 5 ft
Ysar-120 lb/ft³
H3= 2.5 ft
Ysar-118 lb/ft³
H1
Layer 1
В
Groundwater table
H,
Layer 2
Ha
Layer 3
O Dry sand
Sand
Clay
Rock
3.
7.12 A sand specimen was subjected to a drained shear test using hollow cylin-
der test equipment. Failure was caused by increasing the inside pressure while
keeping the outside pressure constant. At failure, o, = 193 kN/m² and o; =
264 kN/m². The inside and outside radii of the specimen were 40 and 60 mm,
respectively.
(a) Calculate the soil friction angle.
(b) Calculate the axial stress on the specimen at failure.
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- Redo 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_forwardRefer 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_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_forward
- Use 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_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_forwardUrgently requiredarrow_forward
- Please help me answer this question Refer to Figure 10.47. A exible rectangular area is subjected to a uniformly distributed load of q 5 330 kN/m2. Determine the increase in vertical stress, Dz, at a depth of z 5 6 m under points A, B, and C and more is a photo I sentarrow_forwardThe results of a consolidated drained triaxial shear test on a normally consolidated clay are shown in the figure. The angle of internal friction is:--arrow_forwardA sample of soil (0.1 m X 0.1 m) is subjected to the forces shown in Figure below. Determine (a) σ1, σ3, and α;(b) the maximum shear stress; and (c) the stresses on a plane oriented at 30° counterclockwise from the major principal stress plane.arrow_forward
- Kindly solve. Final answers are already givenarrow_forwardA sample was obtained from point A in the submerged clay layer shown below. It was determined that it had a w = 54%, and a Gs = 2.78. What is the effective vertical stress at A? Express your answer in kPa rounded to the nearest whole number.arrow_forwardA direct shear test, when conducted on a remolded sample of sand, gave the following observations at the time of failure: Normal load = 288 N; shear load = 173 N. The cross-sectional area of the sample = 36 cm2. Determine the minor principal stress in kPa. Pls include fbd.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