A solid shaft in a rolling mill transmits 20 kW at 2 Hz. Determine the diameter of the shaft if the shearing stress is not to exceed 40 MPa and the angle of twist is limited to 6° in a length of 3m. Use G = 83 GPa. Note: Round the diameter value to the safest 5-mm multiple.

A solid shaft in a rolling mill transmits 20 kW at 2 Hz. Determine the diameter of the shaft if the shearing stress is not to exceed 40 MPa and the angle of twist is limited to 6° in a length of 3m. Use G = 83 GPa. Note: Round the diameter value to the safest 5-mm multiple.

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 3.12.4P: The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft...

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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 solid shaft in a rolling mill transmits 20 kW at 2 Hz. Determine the diameter of the shaft if the shearing stress is
not to exceed 40 MPa and the angle of twist is limited to 6° in a length of 3m. Use G = 83 GPa.

Note: Round the diameter value to the safest 5-mm multiple.

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