The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D, which 250 mm has a 150 mm pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of T = 340 N. m. The shaft 100 mm is machined from steel with Sy = 420 MPa. Using a factor of safety of 2.5, determine the minimum allowable diameter of the 250 mm section of the shaft based on a static yield analysis using the distortion energy theory and maximum shear stress theory.

The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D, which 250 mm has a 150 mm pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of T = 340 N. m. The shaft 100 mm is machined from steel with Sy = 420 MPa. Using a factor of safety of 2.5, determine the minimum allowable diameter of the 250 mm section of the shaft based on a static yield analysis using the distortion energy theory and maximum shear stress theory.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.8.3P: A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A...

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