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 N 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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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 N
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 N 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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