Static and dynamic analysis of steel and wooden structures with generic sections and variable inertia in parabolic vouts corns

Abstract

The present work aims to carry out comparative analyzes (dynamic and static) in generic cross-sections with variable inertias in parabolic corbels. For this, a computational program was developed in the language FORTRAN 90/95 via the Finite Element Method, and its results were compared with those found in the literature. Therefore, through the displacement, acceleration and velocity data found in the analyses, it was possible to verify the influence of dynamic loading on the structural behavior of beams and frames. The damping of the structure, called proportional damping or Rayleigh damping, was taken into account, including the properties of the materials used, which in this research were steel and wood. The analyzed element has generic cross-sections with the inertia varying in parabolic corbel along its length, so that they can be used in increasingly innovative architectural projects.
Finally, the formulation corresponding to the Three-Dimensional Finite Element was implemented, which allows the static analysis of the structure with the hexahedral finite element with eight nodes (H8), hexahedral finite element with twenty nodes (H20).

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