A short bar of copper, 25 mm in diameter, is enclosed centrally within a steel tube of external diameter 36 mm and thickness 3 mm. At 0°C the ends of the bar and tube are rigidly fastened together and the complete assembly heated to 80°C. Calculate the stress in the bar and in the tube if E for copper is 100 000 N/mm?, E for steel is 200 000 N/mm? and the coefficients of linear expansion of copper and steel are 0.000 01/°C and 0.000 006/°C, respectively.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A short bar of copper, 25 mm in diameter, is enclosed centrally within a steel tube of external diameter 36 mm and thickness 3 mm. At 0°C the ends of the bar and tube are rigidly fastened together and the complete assembly heated to 80°C. Calculate the stress in the bar and in the tube if E for copper is 100 000 N/mm?, E for steel is 200 000 N/mm? and the coefficients of linear expansion of copper and steel are 0.000 01/°C and 0.000 006/°C, respectively.
A short bar of copper, 25 mm in diameter, is
enclosed centrally within a steel tube of external
diameter 36 mm and thickness 3 mm. At 0°C the
ends of the bar and tube are rigidly fastened
together and the complete assembly heated to 80°C.
Calculate the stress in the bar and in the tube if E for
copper is 100 000 N/mm², E for steel is 200 000
N/mm2 and the coefficients of linear expansion of
copper and steel are 0.000 01/°C and 0.000 006/°C,
respectively.
Transcribed Image Text:A short bar of copper, 25 mm in diameter, is enclosed centrally within a steel tube of external diameter 36 mm and thickness 3 mm. At 0°C the ends of the bar and tube are rigidly fastened together and the complete assembly heated to 80°C. Calculate the stress in the bar and in the tube if E for copper is 100 000 N/mm², E for steel is 200 000 N/mm2 and the coefficients of linear expansion of copper and steel are 0.000 01/°C and 0.000 006/°C, respectively.
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