PRINCIPLES OF GEOTECH.ENGINEERING >LL+M
9th Edition
ISBN: 9781337583879
Author: Das
Publisher: CENGAGE L
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Chapter 10, Problem 10.4P
(a)
To determine
Calculate the maximum and minimum principal stresses using the principles of Mohr’s circles.
(b)
To determine
Calculate the normal and shear stresses on plane AB using the principles of Mohr’s circles.
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A soil element is shown in Figure 2.21. Determine the following using Mohr’s Circle:
a. Maximum and minimum principal stressesb. Normal and shear stresses on plane AB
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 soil element is shown in figure. Determine:
a. Maximum and Minimum Principal stress.
b.Normal and shear stress on plane AB
Chapter 10 Solutions
PRINCIPLES OF GEOTECH.ENGINEERING >LL+M
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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- 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 ABarrow_forward3 1. (a) An element of soil is subjected to the two-dimensional stresses shown in Figure Q1. 0, = 150 =-30 = 30 60° o, = 75 (All in kPa) Figure Q1 (1) Determine the normal and shear stresses on the P and Q planes which are orthogonal (ii) Determine the magnitudes and directions of the major and minor principal stresse (b) An undrained direct shear test with a hanger mass of 32 kg was performed on a sample of saturated clay. The plan dimensions of the shear box were 60 x 60 mm. The undrained shear strength of the clay is known to be Cu = 60 kPa. The critical state friction angle of the clay is known to be d'ern = 22°. What pore water pressure (u) in kPa, would the sample experience at the ultimate state? (c) Given that the pore pressure calculated from part (b) was negative, explain what this implies about the volume change that would have occurred to the sample (dilative or contractive) if the test was done under drained conditions.arrow_forwardkN 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_forward
- Use 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_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_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
- A 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_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_forwardN B 0 Horizontal The stresses shown in the figure are applied at a point in a dry clayey sand soil mass. A= 50 kPa and B= 125 kPa The shear strength parameters of the clayey sand are: c'= 9kPa and p'=29° 0=30° a) The value of the shear stress, T, is slowly increased. What value would cause shear failure at this point (in kPa)? b) At failure, what angle does the failure plane make with the horizontal (in degrees)?arrow_forward
- The vertical and horizontal stresses at a certain point in soil are as follows:σx = 50 kPaσx = 100 kPaτzx = - 20 kPa a) Determine magnitudes and directions of the major and minor principal stresses.b) Determine magnitude and direction of maximum shear stress.c) Determine the normal and shear stresses acting on a soil element inclined at 60 clockwise from the horizontal plane.arrow_forwardMagnitude and angle of inclination (from horizontal) of the major and minor principal stresses. 5. A sample of soil is subjected to a stress system as shown in the figure. Determine, a. Maximum shear stress. Stress on a horizontal plane. 5 kN b. с. 10 cm |309 1 kN 20 cm 1 kN 3 kN 20 cmarrow_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_forward
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