GATE CE 2022 Set 1 — Question 41
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Geotechnical Engineering → Earth Pressure → Rankine Theory
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Question
As per Rankine’s theory of earth pressure, the inclination of failure planes is with respect to the direction of the minor principal stress.The above statement is correct for which one of the following options?
Correct answer
(C) Both active as well as passive states
Solution
In Rankine's theory, the failure plane is inclined at an angle of with the major principal plane (the plane on which the major principal stress acts).
1.Active State: The vertical stress is the major principal stress and the horizontal stress is the minor principal stress. The failure plane makes an angle of with the horizontal (major principal plane), which is the direction of the minor principal stress.
2.Passive State: The horizontal stress is the major principal stress and the vertical stress is the minor principal stress. The failure plane makes an angle of with the vertical (major principal plane), which is the direction of the minor principal stress.
In both cases, the failure plane is inclined at with respect to the direction of the minor principal stress.Continue learning with Success Tracker
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