2.49 The aluminum shell is fully bonded to the brass core, and the assem- bly is unstressed at a temperature of 78°F. Considering only axial deformations, determine the stress when the temperature reaches 180°F in (a) the brass core, (b) the aluminum shell. 1 in. -2.5 in.- Fig. P2.49 — Brass core E = 15 x 106 psi a = 11.6 x 10-6/°F Aluminum shell E = 10.6 × 106 psi a = 12.9 x 10-6/°F

Structural Analysis
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2.49 The aluminum shell is fully bonded to the brass core, and the assem-
bly is unstressed at a temperature of 78°F. Considering only axial
deformations, determine the stress when the temperature reaches
180°F in (a) the brass core, (b) the aluminum shell.
1 in.
I
2.5 in.
Fig. P2.49
—
Brass core
E = 15 x 106 psi
a = 11.6 x 10-6/°F
Aluminum shell
E = 10.6 × 106 psi
α =
12.9 x 10-6°F
Transcribed Image Text:2.49 The aluminum shell is fully bonded to the brass core, and the assem- bly is unstressed at a temperature of 78°F. Considering only axial deformations, determine the stress when the temperature reaches 180°F in (a) the brass core, (b) the aluminum shell. 1 in. I 2.5 in. Fig. P2.49 — Brass core E = 15 x 106 psi a = 11.6 x 10-6/°F Aluminum shell E = 10.6 × 106 psi α = 12.9 x 10-6°F
Expert Solution
Step 1 Axial Deformations

Reference : Engineering mechanics , Stresses at various temperature

Given :

Aluminum shell

Brass core

Modulus of elasticity of both material

To determine :

The stress in brass core and Aluminum shell

 

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