Solved: A solid steel shaft has a gear with ASTM grade 20

Chapter 5, Problem 5-73

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A solid steel shaft has a gear with ASTM grade 20 cast-iron hub ( E = 14.5 Mpsi) shrink-fitted to it. The shaft diameter is \(2.001 \pm 0.0004\) in. The specifications for the gear hub are

                                                     \(\begin{array}{ll} 2.000 & +0.0004 \\ -0.0000 \end{array} \text { in }\)

ID with an OD of \(4.00 \pm \frac{1}{32}\) in. Using the midrange values and the modified Mohr theory, estimate the factor of safety guarding against fracture in the gear hub due to the shrink fit.

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