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A soil element is subjected to a minor principle stress of 50 kPa on a plane...

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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