Engineering, 05.02.2021 21:50, aylineorozco836

For this particular problem, one of the principal directionssimply points in the zdirection, or <0 0 1>. This means we can present the transformation as rotation in the xyplanealone, rotating the stress tensor about the zaxis. Calculate the two angles of rotation for the principal stresses in this xyplanefor the associated eigenvectors, where θ_xy= tan^-1 (ny/nx)

Show that these two principal directions are orthogonal, first by the dot product of the two principal directions, then by showing that the angle formed between them is 90 degrees.

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For this particular problem, one of the principal directionssimply points in the zdirection, or <...