Solved: A shaft is loaded in bending and torsion such that

Chapter 7, Problem 7-1

(choose chapter or problem)

A shaft is loaded in bending and torsion such that \(M_a\) = 70 N \(\cdot\) m, \(T_a\) = 45 N \(\cdot\) m, \(M_m\) = 55 N \(\cdot\) m, and \(T_m\) = 35 N \(\cdot\) m. For the shaft, \(S_u\) = 700 MPa and \(S_y\) = 560 MPa, and a fully corrected endurance limit of \(S_e\) = 210 MPa is assumed. Let \(K_f\) = 2.2 and \(K_{fs}\) = 1.8. With a design factor of 2.0 determine the minimum acceptable diameter of the shaft using the

(a) DE-Gerber criterion.

(b) DE-ASME Elliptic criterion.

(c) DE-Soderberg criterion.

(d) DE-Goodman criterion.

Discuss and compare the results.

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