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

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

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.14P

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Concept explainers

Alloys

An alloy is an admixture of two or more metals or a metal and a non-metal. Since ancient times, man has been using alloys. Alloying helps to retain the properties of the parent matter, such as hardness, strength, toughness, ductility and is corrosion-resistant. Copper alloys such as brass have antimicrobial properties that help to fight against (Coronavirus disease 2019) COVID-19 and other hospital-acquired infections. Some common alloys are brass, bronze, solder steel, etc. Most alloys have a lower melting point than their constituents. This is due to the presence of a nonmetal as one of the constituents that behaves as an impurity and restricts the raise of melting point.

Question

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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