The assembly is composed of a steel shell and an aluminum core that has been welded to a rigid plate. The gap between the plate and the aluminum is initially 1- mm. If the assembly's temperature is reduced by 180°C, determine (a) the final axial stresses in each material and (b) the deflection of the rigid bar. To support your response, draw a deformation diagram with appropriate labels. Use the following properties: Aluminum core Steel shell Diameters (mm) d = 15 mm d。 = 30 mm d₁ = 20 mm = E (GPa) 70 200 2m a (/°C) 22 x 10-6 12 x 10-6

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The assembly is composed of a steel shell and an aluminum
core that has been welded to a rigid plate. The gap between the
plate and the aluminum is initially 1- mm. If the assembly's
temperature is reduced by 180°C, determine (a) the final axial
stresses in each material and (b) the deflection of the rigid bar.
To support your response, draw a deformation diagram with
appropriate labels.
Use the following properties:
Aluminum core
Steel shell
Diameters (mm)
d = 15 mm
do = 30 mm
d₁ = 20 mm
E (GPa)
70
200
2 m
a (/°C)
22 x 10-6
12 x 10-6
Transcribed Image Text:The assembly is composed of a steel shell and an aluminum core that has been welded to a rigid plate. The gap between the plate and the aluminum is initially 1- mm. If the assembly's temperature is reduced by 180°C, determine (a) the final axial stresses in each material and (b) the deflection of the rigid bar. To support your response, draw a deformation diagram with appropriate labels. Use the following properties: Aluminum core Steel shell Diameters (mm) d = 15 mm do = 30 mm d₁ = 20 mm E (GPa) 70 200 2 m a (/°C) 22 x 10-6 12 x 10-6
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