Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 10, Problem 10.1CTP
EB and FG are two planes inside a soil element ABCD as shown in Figure 10.50.
Stress conditions on the two planes are
Plane EB: σEB = 25 kN/m2; τEB = +10 kN/m2
Plane FG: σFG = 10 kN/m2; τFG = –5 kN/m2
(Note: Mohr’s circle sign conventions for stresses are used above)
Given α; = 25°, determine:
- a. The maximum and minimum principal stresses
- b. The angle between the planes EB and FG
- c. The external stresses on planes AB and BC that would cause the above internal stresses on planes EB and FG
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Chapter 10 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 10 - Prob. 10.1PCh. 10 - Prob. 10.2PCh. 10 - Prob. 10.3PCh. 10 - Prob. 10.4PCh. 10 - Prob. 10.5PCh. 10 - Prob. 10.6PCh. 10 - Point loads of magnitude 125, 250, and 500 kN act...Ch. 10 - Refer to Figure 10.41. Determine the vertical...Ch. 10 - For the same line loads given in Problem 10.8,...Ch. 10 - Refer to Figure 10.41. Given: q2 = 3800 lb/ft, x1...
Ch. 10 - Refer to Figure 10.42. Due to application of line...Ch. 10 - Refer to Figure 10.43. A strip load of q = 1450...Ch. 10 - Repeat Problem 10.12 for q = 700 kN/m2, B = 8 m,...Ch. 10 - Prob. 10.14PCh. 10 - For the embankment shown in Figure 10.45,...Ch. 10 - Refer to Figure 10.46. A flexible circular area of...Ch. 10 - Refer to Figure 10.47. A flexible rectangular area...Ch. 10 - Refer to the flexible loaded rectangular area...Ch. 10 - Prob. 10.19PCh. 10 - Prob. 10.20PCh. 10 - Refer to Figure 10.48. If R = 4 m and hw = height...Ch. 10 - Refer to Figure 10.49. For the linearly increasing...Ch. 10 - EB and FG are two planes inside a soil element...Ch. 10 - A soil element beneath a pave ment experiences...
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- 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_forwardGiven H1 = 8.3 m., and H2 = 4.43 m. If the ground water table rises by 2.29 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.59, e = 0.61. Properties of clay: Gs = 2.74, e = 0.86. Round off to two decimal places. Answer: 13.95arrow_forwardQ#3. An earth embankment diagram is shown in Figure.1. Determine the vertical stress increase at A due to embankment load.arrow_forward
- 40 Refer to the soil profile shown. Given H1 = 9.89 m., and H2 = 4.4 m. If the ground water table rises by 3.13 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.54, e = 0.69. Properties of clay: Gs = 2.77, e = 0.85. Round off to two decimal places.arrow_forward44.) A 5 m-thick clay (Gs = 2.65, water content = 0.28) is overlain by a 4.50m-thick layer of sand (Gs = 2.60, e = 0.70, S = 0.85). The ground water table is located 4.50 m from the ground surface. Compute for the following: 1. At what depth would the vertical effective stress be equal to 120 kPa? 2. What is the vertical effective stress at a depth 9 m below the ground surface? 3. The depth of excavation required to reduce the effective stress at the bottom of the clay layer by 100 kPa. Question 1: A. 1.94 Question 1: B. 3.99 Question 1: C. 6.44 Question 1: D. 8.49 Question 2: A. 168.9 Question 2: B. 44.1 Question 2: C. 120.1 Question 2: D. 124.8 Question 3: A. 1.83 Question 3: B. 7.67 Question 3: C. 3.17 Question 3: D. 6.33arrow_forwardRefer 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, D z, at a depth of z 5 6 m under points A, B, and C .details about me sending through picturesarrow_forward
- For 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 10.46. A flexible circular area of radius 6 m is uniformly loaded. Given: q = 565 kN/m2. Using Newmarks chart, determine the increase in vertical stress, z, at point A. Figure 10.46arrow_forward
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