A lawn mower component experiences critical static stresses of sx = 45,000 psi,sy =

Chapter 6, Problem 6.36

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A lawn mower component experiences critical static stresses of \(\sigma_x = 45,000 \ \mathrm{psi}, \sigma_y = 25,000 \ \mathrm{psi}\), and \(\tau_{xy} = 15,000 \ \mathrm{psi}\). The component is made of 4130 normalized steel that has an ultimate strength of 97,000 psi and a yield strength of 63,300 psi. Determine the factor of safety based on predicting failure by the maximum-normal-stress theory, the maximum-shear-stress theory, and the distortion energy theory.

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