ANÁLISE AUTOMÁTICA DE ESTRUTURAS RETICULADAS PLANAS E ESPACIAIS

Resumo

The structural analysis allows the determination of fundamental quantities to evaluate the
behavior of the structures due of the requesting actions, as well as to carry out their correct design. In
the case of framed structures, the objective of the structural analysis is the determination of nodal
displacements, support reactions and nodal internal forces. To achieve this goal it is necessary to create
an analytical structural model by which the real structure is represented mathematically, thus making an
idealization of its behavior. Most commercial programs are limited to the analysis of plane structures,
restricting the number of elements of structures, as well as not allowing multiple support configurations.
Therefore, this work has proposed the development of a computational code, using Fortran, to solve
plane frames and space frames structures, with formulation based on the Direct Stiffness Method.
Subroutines were developed to solve plane trusses, space trusses, plane frames, space frames and grids,
with the objective of determining their support reactions, nodal displacements and nodal internal forces.
In plane frame, sub-routines were developed to consider the insertion of hinges (rotation liberation). In
order to validate the obtained results, they were compared with those obtained in commercial programs
already validated (Ftool and Salt), considering acceptable divergences of up to 2.0% between the values
provided by the code and those provided by the cited programs. Considering the results, it was possible
to verify that the parameters evaluated were congruent with those obtained in commercial programs and
their values did not exceed the divergence criterion.