Consider a simply supported steel shaft as depicted below with 4 cm in diameter and 1 m span between bearings, carrying two gears weighing 100 and 80 kg., Calculate the critical speed of the shaft considering its own weight as well. (Sy = 240 Mpa, Sut = 400 Mpa, E=210 GPa, density=7800 kg/m3)

Consider a simply supported steel shaft as depicted below with 4 cm in diameter and 1 m span between bearings, carrying two gears weighing 100 and 80 kg., Calculate the critical speed of the shaft considering its own weight as well. (Sy = 240 Mpa, Sut = 400 Mpa, E=210 GPa, density=7800 kg/m3)

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 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at...

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Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

Consider a simply supported steel shaft as depicted below with 4 cm in diameter and 1 m span between
bearings, carrying two gears weighing 100 and 80 kg., Calculate the critical speed of the shaft considering its
own weight as well. (Sy = 240 Mpa, Sut = 400 Mpa, E=210 GPa, density=7800 kg/m3)

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