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Symmetric tensor principal value generator
If one of the principal values is already known, the other two are readily calculated, as shown below (assuming T33 = 1)
input tensor
 (
)


 
 
 
 
 
Mohr's Circle
From the previous page we note that the secular equation is of the form
0 z z 2 3 T 22 T 12 T 12 T 11
z =
Tm + T22
±
T11 − T22;
+ T12²
Symmetric tensor principal value generator
This page calculates the secular equation and the principal values for an arbitrary second rank tensor.
input tensor
 (
)


Term z3 z2 z const
Coefficient 1

With roots z1 =     z2 =     z3 =