Solve the following problem:
Using the simplified method , design an I-beam of length L = 4 m to be supported at the ends and loaded at the midspan by a load P = 1000 N. The maximum deflection should not exceed 1/800 of the span. Use the carpet plots for E-glass-polyester with Vf = 0.5. Use the same laminate configuration for the flanges and the web and use your judgement to select values of α, β, γ in the carpet plots. Let the height-to-width ratio be h/b = 2 and the width-to-thickness ratio be b/t = 10.
Optimum values for these geometric ratios could be obtained by analyzing the buckling modes of the beam.