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    Integral of a Matrix Dot Product : Calculating Traction from Stress Tensor Matrix

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    NOTE: in part A, the traction is just the integral of the dot product of T and n.

    7 0 -2
    The stress at point P = 0 5 0
    -2 0 4

    I want to know the traction vector on the plane at point P with the unit normal n = (2i1, -2i2, 1i3)/3

    And the component of the traction vector perpendicular to the plane, the magnitude of the traction and the angle between the traction vector and the unit normal.

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    Solution Summary

    Traction from Stress Tensor Matrix is calculated. The solution is detailed and well presented.