A steel band 8mm thick is to be pulled on to a cylinder 30cm in diameter. The internal diameter of the hoop formed by the band is 29.98cm. By how much will it be necessary to increase the temperature of the hoop, so that it would slide over the surface of the cylinder? What stress will occur in the hoop when it reaches the same temperature as the cylinder, if the deformation of the cylinder may be neglected?

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.3P
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333. two decimal places
A steel band 8mm thick is to be pulled on to a cylinder 30cm in diameter. The internal
diameter of the hoop formed by the band is 29.98cm. By how much will it be necessary to
increase the temperature of the hoop, so that it would slide over the surface of the
cylinder? What stress will occur in the hoop when it reaches the same temperature as the
cylinder, if the deformation of the cylinder may be neglected?
Transcribed Image Text:A steel band 8mm thick is to be pulled on to a cylinder 30cm in diameter. The internal diameter of the hoop formed by the band is 29.98cm. By how much will it be necessary to increase the temperature of the hoop, so that it would slide over the surface of the cylinder? What stress will occur in the hoop when it reaches the same temperature as the cylinder, if the deformation of the cylinder may be neglected?
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