1. Oct 29, 2008

### Danger86514

1. The problem statement, all variables and given/known data

Calculate Axial tension/compression in each strip.

three strips of metal connected vertically on top of each other
X-Section = 1 in x 1in
Length = 10 in

Steel properties:
E = 30 E06 psi, $$\upsilon$$ = 0.3, $$\alpha$$ = 70E-07 in/in-F
Copper properties:
E = 16 E06 psi, $$\upsilon$$ = 0.3, $$\alpha$$= 92 E-07 in/in-F

2. Relevant equations

thermal expansion: $$\Delta$$ L = L (initial)*$$\alpha$$*$$\Delta$$ T

Engineering Strain : $$\epsilon$$ = $$\Delta$$L / L (intial)

Uniaxial Loading: $$\sigma$$ = F/A

Shear modulus: G = E/(2*(1+$$\upsilon$$))

Transverse Shear Stress: $$\tau$$ = V*Q/(I*b)
where: Q = A'y', A' = area above the layer, y' = distance from neutral axis
I = moment of interia, b = width

Hooke's law : $$\epsilon$$ = (1/E)($$\sigma$$x - $$\upsilon$$($$\sigma$$y + $$\sigma$$z))

3. The attempt at a solution

See attached PDF

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