steel shaft with a diameter of 40 mm and the length of 1.1 m transmits 60 hp from an electric motor to a compressor. If the allowable shear stress is 50 MPa and the allowable angle of twist is 1.50, what is the minimum allowable speed of rotation.

steel shaft with a diameter of 40 mm and the length of 1.1 m transmits 60 hp from an electric motor to a compressor. If the allowable shear stress is 50 MPa and the allowable angle of twist is 1.50, what is the minimum allowable speed of rotation.

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

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

A steel shaft with a diameter of 40 mm and the length of 1.1 m transmits 60 hp from an electric motor to a compressor. If the allowable shear stress is 50 MPa and the allowable angle of twist is 1.5⁰, what is the minimum allowable speed of rotation.

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