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30 May, 10:32

A soil element is subjected to a minor principle stress of 50 kPa on a plane rotated 20 ° counterclockwise from vertical. If the deviator stress is 120 kPa and the shear strength parameters are a friction angle of 30° and a cohesion of 5 kPa, determine the magnitude of the stresses on the failure plane and the orientation of this plane with respect to the major principle stress plane.

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  1. 30 May, 10:47
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    =>> 167.3 kpa.

    =>> 60° from horizontal face.

    Explanation:

    So, we are given the following data or parameters or information which is going to assist us in solving this kind of question;

    =>> "A soil element is subjected to a minor principle stress of 50 kPa on a plane rotated 20 ° counterclockwise from vertical. "

    =>>"If the deviator stress is 120 kPa and the shear strength parameters are a friction angle of 30° and a cohesion of 5 kPa."

    The orientation of this plane with respect to the major principle stress plane = 50 tan^2 (45 + 30/2) + 10 tan (45 + 30/2).

    magnitude of the stresses on the failure plane = 167.3 kpa.

    The orientation of this plane with respect to the major principle stress plane = > x = 60 cos 60° = 30kpa.

    y = 60 sin 60° = 30√3 = sheer stress.

    the orientation of this plane with respect to the major principle stress plane.

    Theta = 45 + 15 = 60°.
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