4.
The stress state in a point of a structural element is characterized by a compressive stress
$$\sigma_x$$ of 360 MPa, tensile stress $$\sigma_y$$ of 250 MPa, and shear stress, $$\tau_{xy}$$ of 120 MPa. Using the
Mohr's circle, determine the principal stresses, maximum in-plane shear stress and average
normal stress. Draw the orientation of the corresponding planes of principal stresses and
maximum in-plane shear stress.
[20 marks]