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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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
A
a. For the soil element shown in the figure, the magnitudes of the stresses are
kN
kN
Ox = 70
KN
Oy = 265
Try = 75
0 = 32°, draw Mohr's circle to
m2'
determine
• Normal and shear stresses on plane BD
• Magnitude of Principal Stresses
• Maximum shear stress and draw angle of maximum shear stress on the
soil element shown
b. If the soil element shown in above figure was extracted 17m below the ground
surface with y = 15, C = 1000 Pa and Ø = 22°, whether the soil will be
kN
safe against shear failure?
Oy
Tyx
Txy
Ox
Txy
B.
A
Tyx
Q.1
The state of stress at a point in a soil mass is eiven below, Determine the principal stresses and also the
octahedral normal and shear stresses.
50
30
25
Stress state
(soil)
30
40
25
kPa
25
25
08
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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