The columns labelled S are made of steel (E = 200 GPa, \alphaα = 12 x 10-6 /\circ∘C) and have a cross-sectional area of 1665 mm2 The column labelled A is made of aluminum (E = 73 GPa, \alphaα = 23 x 10-6 /\circ∘C) and has a cross-sectional area of 1278 mm2 The length of the columns is 238 mm If a load of 1066 kN is applied as shown and the temperature is increased by 60\circ∘ C, determine the stress in the aluminum.
The columns labelled S are made of steel (E = 200 GPa, \alphaα = 12 x 10-6 /\circ∘C) and have a cross-sectional area of 1665 mm2 The column labelled A is made of aluminum (E = 73 GPa, \alphaα = 23 x 10-6 /\circ∘C) and has a cross-sectional area of 1278 mm2 The length of the columns is 238 mm If a load of 1066 kN is applied as shown and the temperature is increased by 60\circ∘ C, determine the stress in the aluminum.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The columns labelled S are made of steel (E = 200 GPa, \alphaα = 12 x 10-6 /\circ∘C) and have a cross-sectional area of 1665 mm2
The column labelled A is made of aluminum (E = 73 GPa, \alphaα = 23 x 10-6 /\circ∘C) and has a cross-sectional area of 1278 mm2
The length of the columns is 238 mm
If a load of 1066 kN is applied as shown and the temperature is increased by 60\circ∘ C, determine the stress in the aluminum.
Transcribed Image Text:F
0.5 m
-0.5 m
A
Expert Solution
Step 1
For the equilibrium of the system, the tension in steel is equal to compression in aluminum.
steel area(As)=2x1665=3330 mm2 (2 steel members are there)
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