An AISI 1018 steel has a yield strength, *Sy* = 295 MPa.
For the given state of plane stress as σ_{x} = - 30 MPa,
σ_{y} = - 65 MPa, and τ_{xy} = 40 MPa (c.c.w.),
determine the factor of safety using

(*a*) the
distortion-energy theory,
[15 pts.]

(b) the ductile Coulomb-Mohr theory,

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