The use of computational algorithms for optimized solutions has been becoming an excellent alternative to necessary and exhaustive verifications regarding the best structural conception. With the evolution of the computational capability and the Finite Elements Method, several topological optimization methods have been developed. Among these methods, the method called Evolutionary Structural Optimization (ESO) has been used on the structural problems solutions, through the application of Heuristic procedures on the analyses. The present paper deals with the topological optimization using the ESO method developed in a programming platform available on the software for multiphysics analyses Abaqus®. The ESO method is applied for some problems found in literature, both for static problems and for dynamic problems. The obtained results prove the efficiency of the implemented method. The last numerical application presents the optimization of a metallic flange used to support the motor of an aeolian turbine, comparing the results among two different design conceptions. Keywords: Topological optimization, evolutionary optimization, finite elements method.