The paper presents the optimization of composite I-beams, designed to be connected together from structural steel I sections and reinforced concrete slabs. The optimization of composite beams has ...been performed by the Mixed-Integer-Non-linear Programming (MINLP) approach. The MINLP performs a discrete optimization of different materials and standard dimensions, while continuous parameter are simultaneously calculated inside the continuous space. As the discrete/continuous optimization problem of the composite beams is non-convex and highly non-linear, the Modified Outer-approximation/Equality-Relaxation (OA/ER) algorith has been used for theoptimization. The accompanied Linked Two-Phased MINLP Strategy accelerated the convergence of the mentioned algorithm.
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