A composite bar of length L = L1 + L2 is made up from a rod of material 1 and of length L1 attached to a rod of material 2 and of length L2 as shown. If α1 and α2 are their respective coefficients of linear expansion, then equivalent coefficient of linear expansion for the composite rod is:

Engineering

Physics

Thermal Expansion

Question

A composite bar of length L = L₁ + L₂ is made up from a rod of material 1 and of length L₁ attached to a rod of material 2 and of length L₂ as shown. If α₁ and α₂ are their respective coefficients of linear expansion, then equivalent coefficient of linear expansion for the composite rod is:

$\frac{α_{1} L_{2} + α_{2} L_{2}}{L}$

$\frac{α_{1} L_{2} + α_{2} L_{1}}{L}$

$\frac{α_{1} α_{2} (L_{1}^{2} + L_{2})}{(α_{1} L_{1} + α_{2} L_{2})}$

$\frac{α_{1} L_{1} + α_{2} L_{2}}{L}$

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