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Problem 1: (15 pts) For a bar made of AISI 1030 hot-rolled steel, use the distortion-energy and maximum-shear-stress theories determine the factors of safety for the following plane stress states: (a)

o 175 MPa, ay-105 MPa [5 pts] (b) o 140 MPa, Txy=-70 MPa [5 pts] (c) a=-84 MPa, o, 105 MPa, ty=-63 MPa (15 6) [5 pts]

Fig: 1