11. A steel tire is to be heated and placed on a 72.00" diameter locomotive drive wheel hub. At 80 F the tire has an inside diameter of 71.94". The coefficient of thermal expansion for the steel is 6.5(10-6) /F, and its yield strength for 0.2% offset is 60 ksi. Determine: (a) The temperature increase required for the inside diameter of the steel tire to be 72.04" to facilitate placing it on the drive wheel hub. (b) The maximum tensile stress in the steel tire when it has cooled to -20 °F, assuming that the diameter of the drive wheel hub does not change. (c) The factor of safety with respect to failure by slip for the stress obtained in part (b).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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11.
A steel tire is to be heated and placed on a 72.00" diameter locomotive drive wheel hub.
At 80 F the tire has an inside diameter of 71.94". The coefficient of thermal expansion for
the steel is 6.5(10-6) /F, and its yield strength for 0.2% offset is 60 ksi. Determine:
(a) The temperature increase required for the inside diameter of the steel tire to be
72.04" to facilitate placing it on the drive wheel hub.
(b) The maximum tensile stress in the steel tire when it has cooled to -20 °F, assuming
that the diameter of the drive wheel hub does not change.
(c) The factor of safety with respect to failure by slip for the stress obtained in part (b).
Transcribed Image Text:11. A steel tire is to be heated and placed on a 72.00" diameter locomotive drive wheel hub. At 80 F the tire has an inside diameter of 71.94". The coefficient of thermal expansion for the steel is 6.5(10-6) /F, and its yield strength for 0.2% offset is 60 ksi. Determine: (a) The temperature increase required for the inside diameter of the steel tire to be 72.04" to facilitate placing it on the drive wheel hub. (b) The maximum tensile stress in the steel tire when it has cooled to -20 °F, assuming that the diameter of the drive wheel hub does not change. (c) The factor of safety with respect to failure by slip for the stress obtained in part (b).
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