Question 3 The vertical compressive stress at a point in a soil is 100 kN/m2 while the horizontal compressive stress at the same point is 57 kN/m2. Both stresses are principle stress. (a) Draw the Mohr circle that describes the 2D stress state at the point. (b) Find the maximum shear stress that acts at the point. (c) Determine the angle of the plane on which the maximum shear stress acts and obtain the normal stress on that plane (Use the pole method). (d) Confirm the maximum shear stress and the normal stress from (c) using the stress transformation equations (consider sign conventions!).

Question 3 The vertical compressive stress at a point in a soil is 100 kN/m2 while the horizontal compressive stress at the same point is 57 kN/m2. Both stresses are principle stress. (a) Draw the Mohr circle that describes the 2D stress state at the point. (b) Find the maximum shear stress that acts at the point. (c) Determine the angle of the plane on which the maximum shear stress acts and obtain the normal stress on that plane (Use the pole method). (d) Confirm the maximum shear stress and the normal stress from (c) using the stress transformation equations (consider sign conventions!).

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter10: Stresses In A Soil Mass

Section: Chapter Questions

Problem 10.1CTP: EB and FG are two planes inside a soil element ABCD as shown in Figure 10.50. Stress conditions on...

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The vertical compressive stress at a point in a soil is 100 kN/m2 while the horizontal compressive stress at the same point is 62 kN/m². Both stresses are principal stress. (a) Draw the Mohr circle that describes the 2D stress state at the point (hand sketch is ok). (b) Find the maximum shear stress that acts at the point. (c) Determine the angle of the plane on which the maximum shear stress acts and obtain the normal stress on that plane (Use the pole method - the method is simplified since the stresses given in the problem are principal stresses). (d) Confirm the maximum shear stress and the normal stress from (c) using the stress transformation equations (consider sign conventions!).
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