Principal Stress Angles

n72.75

Seize the means of computation
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If I have a second order Euler-Cauchy stress tensor,

Such as the following:

(How do I do matrices on O-F again?)

Anyway, suppose that this tensor is symmetrical(as it should be).

I find the three eigenvalues of the tensor.

And form a transformed principal stress tensor with the eigenvalues on the diagonal(Sigma1<=Sigma2<=Sigma3).

How do I find the orientation of the principal planes?
 
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