Question 7: The stress components at a point in a plate are σxx = 80 MPa, σyy = 60 MPa, σzz = σxy = 20 MPa, σxz = 40 MPa, and σyz = 10 MPa.
a) Determine the stress vector on a plane normal to the vector i + 2j + 2k. [1]
b) Calculate the deviatoric stress. [1]
c) Determine the octahedral shear stress. [1]