Question: A given stress state is expressed as: i j = [ 2 0 4 0 2 0 4 0 - 4 0 - 6 0

A given stress state is expressed as:

_{i j} = [\begin{matrix} 20 & 40 & 20 \\ 40 & - 40 & - 60 \\ 20 & - 60 & 80 \end{matrix}]

MPa

Determine:

the total state of stress with its components acting on octahedral plane, the maximum she strain and direction cosines defining the line of action the maximum principal stress wi respect to the original

x - y - z

coordinate system.

E = 100 G \frac{N}{m^{2}}, v = 0.25 .

A given stress state is expressed as: i j = [ 2 0

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