Question $1(4$ points$)$

Given the following stress tensor components $($in MPa$)$;

and the first stress invariant, I$1=785$ MPa, determine

I.

the principal stresses $(2$ point$),$

II$.$

the deviatoric stress tensor and its invariants J$2$ and J$3(2$ point$),$

$2.$a$.$

Figure $2.$ Problem definition and material properties in Question $4.$

Reference

$[1]$ Sloan, S$.$W$.,$ Assadi. A$.,$ and Purushorthaman, N$.(1990).$ Undrained stability of a trapdoor, Geotechnique, $40(1),45-62.$ This file is available on Canvas $-$ Assignment $1$ page.