A machine component is loaded so that stresses at the critical location are 휎"=20ksi, 휎*=−15ksi, and 휏"*=10ksi(all other stresses are zero). The material is ductile, with yield strengths in tension and compression of 60 ksi. Whatis the safety factor according to (a) the maximum-normal-stress theory, (b) the maximum-shear-stresstheory, and (c) the maximum-distortion-energy theory? Which theory would be expected to agree mostclosely with an actual test?

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