Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Question
Chapter 10, Problem 10.16P
(a)
To determine
Find the effective normal stress
(b)
To determine
Explain why the shear failure took place along the plane instead of not along the plane of maximum shear stress.
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The rectangular bar shown in the figure is subjected to a uniformly distributed axial loading of w = 11 kN/m and a concentrated force of P = 14 kN at B. Determine the magnitude of the maximum normal stress in the bar and its location x. Assume a = 0.9 m, b = 1.1 m, c = 20 mm, and d = 35 mm.
2.
The state plane stress in a mass of dense cohesionless sand (c=0) is described by the following stresses:
Normal stress on horizontal plane = 100 kPa
Normal stress on vertical plane = 50 kPa
Shear stress on horizontal and vertical planes = ± 30 kPa
Determine by means of the Mohr circle the magnitude and direction of the principal stresses. Is
this state of stress safe against failure assuming φ= 30o?
1. What is the rock’s maximum principal stress?
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Chapter 10 Solutions
Fundamentals 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 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - Prob. 10.9PCh. 10 - Prob. 10.10P
Ch. 10 - Prob. 10.11PCh. 10 - Prob. 10.12PCh. 10 - Prob. 10.13PCh. 10 - Prob. 10.14PCh. 10 - Prob. 10.15PCh. 10 - Prob. 10.16PCh. 10 - Prob. 10.17PCh. 10 - Prob. 10.18PCh. 10 - Prob. 10.19PCh. 10 - Prob. 10.20PCh. 10 - Prob. 10.21PCh. 10 - Prob. 10.22PCh. 10 - Prob. 10.23PCh. 10 - Prob. 10.24CTPCh. 10 - Prob. 10.25CTP
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- Refer to Figure 8.27. The flexible area is uniformly loaded. Given: q = 300 kN/m2. Determine the vertical stress increase at point A located at depth 3 m below point A (shown in the plan). FIG. 8.27arrow_forwardRefer to Figure 10.48. If R = 4 m and hw = height of water = 5 m, determine the vertical stress increases 2 m below the loaded area at radial distances where r = 0, 2, 4, 6, and 8 m. Circular contact area of radius R on the ground surface Figure 10.48arrow_forwardRefer to Figure 10.42. Due to application of line loads q1 and q2, the vertical stress increase at point A is 58 kN/m2. Determine the magnitude of q2. Figure 10.42arrow_forward
- A 9 ft wide and infinitely long flexible strip load of 800 lb/ft2 is placed on an elastic medium as shown in Figure P8.7. Find the vertical stress increase at points A, B, and C located 3 ft below the surface.arrow_forwardUse 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_forwardEB 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: EB = 25 kN/m2; EB = +10 kN/m2 Plane FG: FG = 10 kN/m2; FG = 5 kN/m2 (Note: Mohrs circle sign conventions for stresses are used above) Given ; = 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 FGarrow_forward
- Refer 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_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_forwardrefer to the figure due to application of line load q1 and q2 . the vertical stress increase at point a is 42 kn/m2 determine the magnitude of qarrow_forward
- Refer to Figure 6.31. The circular flexible area is uniformly loaded. Given:q = 320 kN/m2. Determine the vertical stress increase at point A.arrow_forwardQ#5: From the Tri –axial test, determine the effective normal stress on the plane of Maximum shear stress. Explain why the shear failure occurred along the plane with angle 54.73 and not along the plane of maximum shear stress. Take σ’1 = 552, σ’3 = 276, ø’ = 19.45? Find σ’ = ? τf = ? τ: ?arrow_forwardDetermine the value of total stress at depth of 9 marrow_forward
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