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 10.6P
(a)
To determine
Calculate the maximum and minimum principal stresses using the pole method.
(b)
To determine
Calculate the normal and shear stresses on plane AB using the pole method.
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A Soil Element is shown in figure . Determine the Following:
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A soil element is shown in Figure 2.21. Determine the following using Mohr’s Circle:
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A soil element is shown in figure. Determine:
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b.Normal and shear stress on plane AB
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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- Refer 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_forwardA soil element is shown in Figure 2.32. Determine the following using Pole Method.a. Maximum and minimum principal stressesb. Normal and shear stresses on plane ABarrow_forwardA soil element is shown in the figure below. Determine the following: (in kPa) a. Maximum Principal Stress b. Minimum Principal Stress c. Normal Stress on plane AB d. Shear Stress on plane ABarrow_forward
- PROBLEM 2 (15 points): The magnitude of stresses of the soil element represented by the figure below are oz = 250 kN and t= 80 kN m² Oy = 180- , and 0 = 25°, determine the following: m2 a. Magnitudes of the principal stresses. b. Normal stress on plane AB. c. Shear stress on plane AB. B Aarrow_forwardUse Eq. (6.14) to determine the stress increase Δσ at z = 10 ft below the center of the area described in Problem 6.5.arrow_forwardA soil element is shown in the figure below.  Determine the following: (in kPa) a. Maximum and Minimum Principal Stress c. Normal Stress and Shear Stress on plane ABarrow_forward
- Using the principles of Mohr’s circles for the soil element shown in Figure 10.36, determine the following:a. Maximum and minimum principal stressesb. Normal and shear stresses on plane ABarrow_forwardA thin layer of clay subjected to drying develops internal shrinkage stresses. The state of effective stress at a point in this layer is shown in the figure (a) below. Plane stress condition can be assumed for this problem. Elastic modulus, E of clay is 15 MPa and Poisson's ratio, v is 0.35. Hooke's law is valid during drying, meaning that (o,- vo,) *3 where s,is the strain in x direction. 12 kPa 19 kPa Tx1y1 46 kPa 15° (a) Before curling (b) After curlingarrow_forwardQuize (1): A sample of soil is subjected to the stresses shown in Figure (1). find graphically: i) a,,o, and t i) The stresses on a plane oriented at 30"counterclockwise from the major principal stress plane. 500 kN/m? 100 300 300 KN/m 100 kN/m 500arrow_forward
- kN The magnitude of stresses of the soil element represented by the figure below are o, = 250; m Oy = 180 , and t= 80, m2 kN kN ,and 0 = 25°, determine the following: a. Magnitudes of the principal stresses. b. Normal stress on plane AB. c. Shear stress on plane AB. Barrow_forwardStresses acting on an infinitesimal soil element are shown in the figure (with o₂ > 0). The major and minor principal stresses are o, and o3, respectively. Considering the compressive stresses as positive, which one of the following expressions correctly represents the angle between the major principal stress plane and the horizontal plane? ox Tzx ·0xarrow_forward8. The following figure consists of a line load and point load acting on the surface of a soil mass X1=4.5 m X2=3.5 m r2 Y2=2.5 m Line load 50 kN/m Z= 6m Point load 100 kN A Calculate the increase in the vertical stress at the soil element A.arrow_forward
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