For an element, the stress values acting on it are as follows:

$z=-500$MPa

$y=150$MPa

$xy=150$

Required:

a$)$ Draw the element and show the given stresses on the relevant planes.

b$)$ Determine the hydrostatic stress value.

c$)$ Determine the deviatoric stress tensor.

d$)$ Determine the deviatoric stress tensor.

e$)$ Calculate the principal stress values.