A pulley is keyed to a shaft midway between two anti-fiction bearings. The bending moment at the pulley varies from – 170 N-m to 510 N-m and the torsional moment in the shaft varies from 55 N-m to 165 N-m. The fiequency of the variation of the loads is the same as the shaft speed. The shaft is made of cold drawn steel having an ultimate strength of 540 MPa and a yield strength of 400 MPa. Determine the required diameter for an indefinite life. The stress concentration factor for the keyway in bending and torsion may be taken as 1.6 and 1.3 respectively. The factor of safety is 1.5. Take size [Ans. 36.5 mm] factor = 0.85 and suface finish factor = 0.88. [Hint. Assume 0, = 0.5 0,;1, =0.5 0; t, = 0.55 0,]

A pulley is keyed to a shaft midway between two anti-fiction bearings. The bending moment at the pulley varies from – 170 N-m to 510 N-m and the torsional moment in the shaft varies from 55 N-m to 165 N-m. The fiequency of the variation of the loads is the same as the shaft speed. The shaft is made of cold drawn steel having an ultimate strength of 540 MPa and a yield strength of 400 MPa. Determine the required diameter for an indefinite life. The stress concentration factor for the keyway in bending and torsion may be taken as 1.6 and 1.3 respectively. The factor of safety is 1.5. Take size [Ans. 36.5 mm] factor = 0.85 and suface finish factor = 0.88. [Hint. Assume 0, = 0.5 0,;1, =0.5 0; t, = 0.55 0,]

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

15. A pulley is keyed to a shaft midway between two anti-friction bearings. The bending moment at the
pulley varies fiom – 170N-m to 510 N-m and the torsional moment in the shaft varies from 55 N-m
to 165 N-m. The frequency of the variation of the loads is the same as the shaft speed. The shaft is
made of cold drawn steel having an ultimate strength of 540 MPa and a yield strength of 400 MPa.
Determine the required diameter for an indefinite life. The stress concentration factor for the keyway
in bending and torsion may be taken as 1.6 and 1.3 respectively. The factor of safety is 1.5. Take size
[Ans. 36.5 mm]
factor = 0.85 and suface finish factor = 0.88.
[Hint. Assume 0, = 0.5 0,;1, = 0.5 0,; t, = 0.55 0,]

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