A 100-mm-diameter cast Iron shaft is acted upon by a 10 kN. m bending moment, a 8 kN. m torque, and a 150 kN axial force simultaneously. The ultimate tensile strength of the shaft material is 210 MPa, and the ultimate compressive strength of the shaft material is 750 MPa, determine the safety factor against failure for the above types of loading using a proper theory of failure.
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