The following stress condition is applied to a cubic material.

Normal stress in the x direction is 15 Mpa, normal stress in the z direction is -7 Mpa and the shear stress in the x-z plane is 59 Mpa.

(a) Write the stress tensor

(b) Find the maximum normal stress

(c) Find the angle with respect to the x- axis at which the maximum normal stress is applied

(d) Find the maximum shear stress

(e) Determine the angle with respect to the x-axis at which the maximum shear stress is experienced