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 10.5P
(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 2.32. Determine the following using Pole Method.a. Maximum and minimum principal stressesb. Normal and shear stresses on plane AB
A soil element is shown in figure. Determine:
a. Maximum and Minimum Principal stress.
b.Normal and shear stress on plane AB
A 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 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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- For the stress soil element shown, determine the following using the Pole Method. A. The major principal stress B.The minor principal stress C. Normal stress on plane AE D. Shear stress on plane AEarrow_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_forwardPROBLEM 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_forward
- 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_forwardRefer 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_forwardGive the correct answer and solution of the problem. For the stress soil element shown, determine the following using the Pole Method. A. The major principal stress B. The minor principal stress C. Normal stress on plane AE D. Shear stress on plane AEarrow_forward
- 7. A soil element is subjected to a combination of normal and shear stresses, as shown in the following figure. The corresponding Mohr's circle of stress is provided, and some points (with Coordinates) and lines are added to assist you. Complete the following 1) Which point represents the normal and shear stresses on the horizontal plane PQ? 2) Which point represents the normal and shear stresses on the vertical plane QN? 3) Which point represents the pole of this Mohr circle? 4) Which point represents the normal and shear stresses on plane MN? 5) Which point represents the major principal stress? 6) Which point represents the minor principal stress? Note: all dashed lines are parallel to each other with the inclination angle given. b(72, 40) 40 a(112, 40) 457 30 112 kPa c(52,20) j(132,20) 20 40 kPa - P. 10 M 七 d(47,0) i(137,0) to 72 kPa -10 40 kPa e(52,-20) h(132,-20) 45 -20 -30 -40 g(112,-40) A72,-40) 90 100 110 120 130 140 150 30 40 50 60 70 80 Normal Stress, kPa Shear Stress, kPaarrow_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_forwardA soil element is shown in the figure. Determine the following: 300 psf 1. a. Maximum and minimum principal stresses b. Normal and shear stresses on plane AB 250 psf 80 psf A + 35⁰ + B 80 psfarrow_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_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_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 ·0xarrow_forward
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