Compute the stresses and strains

Question

Solve the following problem:

Compute the stresses (laminate coordinates) at z = -1.27 mm using the results of Problem 1. Note that θ = 30°.

Problem 1:  Given ε⁰_x = ε⁰_y = γ⁰_xy = 0 and κx = 1.0 m^-1, κy = 0.5 m^-1, κxy = 0.25 m^-1, compute the strains (in laminate coordinates) at z = -1.27 mm in the laminate of Problem 2.

Problem 2: Find σ₁, σ₂, and σ₆ at z = 0, on both laminae of a laminate [±30]T subject to N_x = 1 N/m (all remaining forces and moments equal to zero), with t₁ = t2 = 1.27 mm, E₁ = 137.8 GP a, E₂ = 9.6 GP a, G₁₂ = 5.2 GP a, ν₁₂ = 0.3.