Question

A rotating step shaft is loaded as shown, where the forces $F_A$ and $F_B$ are constant at 570 lbf and 285 lbf, respectively, and the torque $T$ alternates from 0 to 1800 lbf-in. The shaft is to be considered simply supported at points O and C and is made of AISI 1045 CD steel with a fully corrected endurance limit of $S_e = 40$ kpsi. Let $K_f = 2.1$ and $K_{fs} = 1.7$. Take the value of design factor to be 2.5.

          A rotating step shaft is loaded as shown, where the forces $F_A$ and $F_B$ are constant at
570 lbf and 285 lbf, respectively, and the torque $T$ alternates from 0 to 1800 lbf-in. The
shaft is to be considered simply supported at points O and C and is made of AISI 1045
CD steel with a fully corrected endurance limit of $S_e = 40$ kpsi. Let $K_f = 2.1$ and $K_{fs} = 1.7$.
Take the value of design factor to be 2.5.

A rotating step shaft is loaded as shown, where the forces FA and FB are constant at
570 lbf and 285 lbf, respectively, and the torque T alternates from 0 to 1800 lbf-in. The
shaft is to be considered simply supported at points O and C and is made of AISI 1045
CD steel with a fully corrected endurance limit of Se = 40 kpsi. Let Kf = 2.1 and Kfs = 1.7.
Take the value of design factor to be 2.5.

Added by Michelle S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Justin Swantek

Step 1

Determine the maximum bending moment at section BC: The maximum bending moment occurs when the torque is at its maximum value. Since the torque alternates from 0 to 1800 lb-in, the maximum bending moment can be calculated as half of the maximum torque, which is Show more…

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Determine the minimal acceptable diameter of section BC using the DE-Gerber criterion. Determine the minimal acceptable diameter of section BC using the DE-Goodman criterion. A rotating step shaft is loaded as shown, where the forces FA and FB are constant at 570 lb and 285 lb, respectively; and the torque alternates from 0 to 1800 lb-in. The shaft is to be considered simply supported at points O and is made of AISI 1045 CD steel with a fully corrected endurance limit of Se = 40 kpsi. Let Kf = 2.1 and Kfs = 1.7. Take the value of the design factor to be 2.5.