A hollow copper cylinder surrounds a solid aluminum cylinder and the assembly is subjected to an axial loading of 200 kN as shown in figure. The cross-sectional area of the copper is 20 cm?, while that of the aluminum is 60 cm?. Both cylinders are the same length before the load is applied. Determine the temperature rise of the entire system required to place all of the load on the aluminum cylinder. The cover plate at the top of the assembly is rigid. For copper E = 100 GPa, a = 17 x 10-6/ºC, while for aluminum E = 70 GPa, a=24 x 10-/°C.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A hollow copper cylinder surrounds a solid aluminum cylinder
and the assembly is subjected to an axial loading of 200 kN as
shown in figure. The cross-sectional area of the copper is 20
cm?, while that of the aluminum is 60 cm?. Both cylinders are
the same length before the load is applied. Determine the
temperature rise of the entire system required to place all of the
load on the aluminum cylinder. The cover plate at the top of the
assembly is rigid. For copper E = 100 GPa, a = 17 x 10-6/ºC,
while for aluminum E = 70 GPa, a=24 x 10-6/°C.
200 kN
50 'cm
Transcribed Image Text:A hollow copper cylinder surrounds a solid aluminum cylinder and the assembly is subjected to an axial loading of 200 kN as shown in figure. The cross-sectional area of the copper is 20 cm?, while that of the aluminum is 60 cm?. Both cylinders are the same length before the load is applied. Determine the temperature rise of the entire system required to place all of the load on the aluminum cylinder. The cover plate at the top of the assembly is rigid. For copper E = 100 GPa, a = 17 x 10-6/ºC, while for aluminum E = 70 GPa, a=24 x 10-6/°C. 200 kN 50 'cm
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