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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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_forwardRefer to Figure 8.24. Determine the vertical stress increase, , at point A with the following values: q1 = 100 kN/m x1 = 3 m z = 2 m q2 = 200 kN/m x2 = 2 m FIG. 8.24 Stress at a point due to two line loadsarrow_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_forward
- Consider the upward flow of water through a layer of sand in a tank as shown in Figure QI(c), For the sand, the following are given: void ratio (e) = 0.52 and specific gravity of solid = 2.67. Determine: (i) Total stress, pore water pressure and effective stress at points A and B (ii) The upward seepage force per unit volume of soil.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_forwardThe soil stress state is shown in the figure, σx = 10 kN/m2, σy = 50 kN/m2, τxy = -10 kN/m2:(1) Please use Mohr circle to draw the soil stress state(2) Calculate the maximum principal stress σ1 and the minimum principal stress σ3(3) Please find the (pole) position(4) What is the angle of intersection between the maximum principal stress surface and the horizontal plane?arrow_forward
- Given a soil mass below, calculate the following in kPa:a. Major principal stressb. Normal stress at the failure planec. Shear Stress at the failure plane USE MOHR'S CIRCLEarrow_forwardA soil profile consists of a clay layer underlain by a sand layer, as shown in Figure. If a tube is inserted into the bottom sand layer and the water level rises to 1 m above the ground surface, determine the vertical effective stresses and porewater pressures at A, B, and C. What is the value of the porewater pressure at A to cause the vertical effective stress there to be zero?arrow_forwardFor 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
- 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_forwardUsing the principles of Mohr circle, for the soil elements shown, determine the following. a.)Maximum principal stress b.) Minimum principal stress c.) Normal Stress on plane AB d.) Tangential stress on plane ABarrow_forwardRefer to the soil profile shown. Given H1 = 9.89 m., and H2 = 5.80 m. If the ground water table rises by 3.78 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.53, e = 0.63. Properties of clay: Gs = 2.75, e = 0.81arrow_forward
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