Determine the diameter of a solid shaft which will transmit 440 kW at 280 rpm. The angle of twist should not exceed one degree per metre length and the maximum torsional shear stress is to be limited to 40 N/mm². Assume G = 84 kN/mm².

Determine the diameter of a solid shaft which will transmit 440 kW at 280 rpm. The angle of twist should not exceed one degree per metre length and the maximum torsional shear stress is to be limited to 40 N/mm². Assume G = 84 kN/mm².

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 3.7.12P

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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

Determine the diameter of a solid shaft which will transmit 440 kW at 280 rpm.
The
angle of twist should not exceed one degree per metre length and the maximum torsional shear stress
is to be limited to 40 N/mm2. Assume G = 84 kN/mm².
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