PRINCIPLES OF GEOTECH.ENGINEERING >LL+M
9th Edition
ISBN: 9781337583879
Author: Das
Publisher: CENGAGE L
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Chapter 10, Problem 10.3P
(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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Limiting states
1. The MC describes the state of stress of our point in the field. That is, the MC shows us the
values of the two principal stresses and the value of the maximum shear stress that the
point is sustaining in the field. Consider a point in a geostatic soil mass. For our point, o'vo
= 100 kPa and o'ho = 40 kPa. Take a sheet of paper and draw the Mohr Circle for this point
carefully.
2. Now, we know that o'ho is a principal stress because t = 0 on the vertical plane (in the
field). Similarly, o'vo is a principal stress because t = 0 on the horizontal plane (in the field).
What is the value of t on the plane inclined 45 degrees clockwise from the horizontal? Go
ahead and use your drawn MC to find this value. The value should be t = 30 kPa.
3. Note that the value found (t = 30 kPa) is the maximum shear stress that the point is
supporting in the field, as it is under o'v = 100 kPa and o'h = 40 kPa. Consider now a
situation in which o'h remains at 40 kPa, but o'y grows to 120…
A soil element is shown in Figure 10.38. Using the pole meathod, determine:
a. Maximum and minimum principle stresses.
b. Normal and shear stresses on plane AB
Solve this problem three ways: first via equations, second via Mohr’s circle and the two-theta method, and third via Mohr’s circle and the origin of planes. All methods should give the same answer.
Subject: Soil Mechanics
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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