A shaft supported on bearings 200mm apart transmits 187 kW at 200rpm. The maximum bending moment is 2712 N-m. The allowable shear stress is 53.3MPA and the allowable normal stress is 46.7 MPa because of unusual loading conditions. Find the shaft diameter.

A shaft supported on bearings 200mm apart transmits 187 kW at 200rpm. The maximum bending moment is 2712 N-m. The allowable shear stress is 53.3MPA and the allowable normal stress is 46.7 MPa because of unusual loading conditions. Find the shaft diameter.

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 3.12.5P: A stepped shaft (see figure) has diameter D2= 1.5 in, and a full quarter-circular fillet. The...

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Concept explainers

Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.

Question

A shaft supported on bearings 200mm apart transmits
187 kW at 200rpm. The maximum bending moment is
2712 N-m. The allowable shear stress is 53.3MPA and
the allowable normal stress is 46.7 MPa because of
unusual loading conditions. Find the shaft diameter.

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