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Principal stresses

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The state of plane stress at a point in a member is zx=-20MPa, zy=90MPa, txy=60MPa. How do I find the principal stresses zx and zy?

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Principle Stresses for Elements

The figure shows a schematic of typical steel (E=200GPa, v=0.3) kneed support. The shaft has a diameter of 16mm. The dimensions are a=150mm and b=300mm and the forces are F=100N, P=75N and P2=50N. At the wall, Kt=1.75 and Kts=2. Considering the Generalized Hooke's law:

a. What are the principal stresses at the critical stressed element located at the wall and on the outer surface of the beam, due to the applied forces?

b. Is the element in plane strain or plane stress?
c. What are the principal strains?

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