A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortion-energy and maximum-shear-stress theories determine the factors of safety for the following plane stress states: (a) σx = 100 Mpa, σy = 100 MPa
(b) σx = -50 MPa , σy= -75 MPa, tauxy = -50 MPa
(c) σx = 10OMPa, σy = 20 Mpa, tauxy= -20MPa

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