A 1.5-m-long solid steel shaft of 48-mm diameter is to transmit 36 kW between a motor and a machine tool. Determine the lowest speed at which the shaft can rotate, knowing that G = 77.2 GPa, that the maximum shearing stress must not exceed 60 MPa, and the angle of twist must not exceed 2.5º.

A 1.5-m-long solid steel shaft of 48-mm diameter is to transmit 36 kW between a motor and a machine tool. Determine the lowest speed at which the shaft can rotate, knowing that G = 77.2 GPa, that the maximum shearing stress must not exceed 60 MPa, and the angle of twist must not exceed 2.5º.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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 1.5-m-long solid steel shaft of 48-mm diameter is to transmit
36 kW between a motor and a machine tool. Determine the lowest
speed at which the shaft can rotate, knowing that G = 77.2 GPa,
that the maximum shearing stress must not exceed 60 MPa, and
the angle of twist must not exceed 2.5°.

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