A copper bar with rectangular cross-section is hung from a rigid pin that is supported by two steel posts as shown in Figure Q3. The copper bar has an initial length of L4=2.0 m, a cross-sectional area of 4800 mm², and a modulus of elasticity E, = 120 GPa. Each steel post has a height of L, = 0.5 m, a cross-sectional area of 4500 mm², and a modulus of elasticity E, = 200 GPa. a) Determine the downward displacement ốc of the lower end of the copper bar when it is subjected to a load P= 200 kN. b) By assuming linear elastic material behaviour, what is the maximum permissible load Pmur if the displacement ő, is limited to 1.0 mm? c) Determine the downward displacement ốe when P = 200 kN and the temperatures for the steel post and the copper bar are increased by ATseel = 15 °C and ATepper = 0 °C, respectively. Given linear coefficient of thermal expansion: asel = 12 x 104/C and acopper= 18 x 10*PC).

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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QUESTION 3
A copper bar with rectangular cross-section is hung from a rigid pin that is supported by two steel
posts as shown in Figure Q3. The copper bar has an initial length of L=2.0 m, a cross-sectional
area of 4800 mm², and a modulus of elasticity E, = 120 GPa. Each steel post has a height of L, =
0.5 m, a cross-sectional area of 4500 mm², and a modulus of elasticity E, = 200 GPa.
a) Determine the downward displacement de of the lower end of the copper bar when it is
subjected to a load P = 200 kN.
b) By assuming linear elastic material behaviour, what is the maximum permissible load Pmax if
the displacement ô, is limited to 1.0 mm?
c) Determine the downward displacement de when P = 200 kN and the temperatures for the steel
post and the copper bar are increased by ATurel = 15 °C and ATcopper = 0 °C, respectively. Given
linear coefficient of thermal expansion: auel = 12 x 10*°C and acopper = 18 x 10*ºC) .
Rigid pin
Steel Post
Rigid Support
Copper Bar
P
Transcribed Image Text:QUESTION 3 A copper bar with rectangular cross-section is hung from a rigid pin that is supported by two steel posts as shown in Figure Q3. The copper bar has an initial length of L=2.0 m, a cross-sectional area of 4800 mm², and a modulus of elasticity E, = 120 GPa. Each steel post has a height of L, = 0.5 m, a cross-sectional area of 4500 mm², and a modulus of elasticity E, = 200 GPa. a) Determine the downward displacement de of the lower end of the copper bar when it is subjected to a load P = 200 kN. b) By assuming linear elastic material behaviour, what is the maximum permissible load Pmax if the displacement ô, is limited to 1.0 mm? c) Determine the downward displacement de when P = 200 kN and the temperatures for the steel post and the copper bar are increased by ATurel = 15 °C and ATcopper = 0 °C, respectively. Given linear coefficient of thermal expansion: auel = 12 x 10*°C and acopper = 18 x 10*ºC) . Rigid pin Steel Post Rigid Support Copper Bar P
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