An antisymmetric angle-ply [+θ/−θ] laminate is to be made of carbon/ epoxy and designed to have a laminate CTE, α x , as close to zero as possible. Determine the ply orientation θ needed to meet this...

An antisymmetric angle-ply [+θ/−θ] laminate is to be made of carbon/ epoxy and designed to have a laminate CTE, α_x, as close to zero as possible. Determine the ply orientation θ needed to meet this requirement. The lamina properties are as follows:

E₁
= 138 GPa, laminate thickness = 0.125 mm

E₂
= 8.96 GPa α₁
= −0.3 × 10⁻⁶
m/m/K

G₁₂
= 7.1 GPa α₂
= 28.1 × 10⁻⁶
m/m/K

ν₁₂
= 0.3

This Problem requires extensive calculations, and the use of a computer is recommended.