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Thermal Loading on Bi-metallic strip

  1. Oct 29, 2008 #1
    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, [tex]\upsilon[/tex] = 0.3, [tex]\alpha[/tex] = 70E-07 in/in-F
    Copper properties:
    E = 16 E06 psi, [tex]\upsilon[/tex] = 0.3, [tex]\alpha[/tex]= 92 E-07 in/in-F

    2. Relevant equations

    thermal expansion: [tex]\Delta[/tex] L = L (initial)*[tex]\alpha[/tex]*[tex]\Delta[/tex] T

    Engineering Strain : [tex]\epsilon[/tex] = [tex]\Delta[/tex]L / L (intial)

    Uniaxial Loading: [tex]\sigma[/tex] = F/A

    Shear modulus: G = E/(2*(1+[tex]\upsilon[/tex]))

    Transverse Shear Stress: [tex]\tau[/tex] = 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 : [tex]\epsilon[/tex] = (1/E)([tex]\sigma[/tex]x - [tex]\upsilon[/tex]([tex]\sigma[/tex]y + [tex]\sigma[/tex]z))

    3. The attempt at a solution

    See attached PDF

    Attached Files:

  2. jcsd
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