A coldrolled steel shaft is used to transmit (60 mathrm{~kW}) at (500 mathrm{rpm}) from a motor. What

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A coldrolled steel shaft is used to transmit \(60 \mathrm{~kW}\) at \(500 \mathrm{rpm}\) from a motor. What should be the diameter of the shaft, if the shaft is \(6 \mathrm{~m}\) long and is simply supported at both ends? The shaft also experiences bending due to a distributed transverse load of \(200 \mathrm{~N} / \mathrm{m}\). Ignore bending due to the weight of the shaft. Use a safety factor of 2 . The tensile yield limit is 280 MPa. Find the diameter using both maximum shear stress theory and von Mises' criterion for failure.

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