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Topology optimization is a mathematical method which spatially optimizes the distribution of material within a defined domain based on given constraints, boundary conditions and a predefined cost function.It is adopted herein to investigate simply supported concrete beams with different cross-sections and spans.The objective is to find the greatest reduction in concrete volume for RC beams subjected to static and cyclic loads.A 3D parametric beam model is constructed using the Algorithm-Aided Design (AAD) Grasshopper, which is integrated with the plugins Topos, based on the SIMP methodology and Karamba3D, based on the BESO methodology.The model is plugged to Galapagos, a genetic algorithm plugin of Grasshopper, which allows the search automation of the minimum volume of beams with spans between 5 m to 20 m, considering rectangular, T and I sections.
Montaute et al. (Mon,) studied this question.
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