OBTAINING STRUT-AND-TIE MODELS USING TRUSS STRUCTURAL OPTIMIZATION
Palavras-chave:
Strut-and-tie models, Topology optimization, Ground Structure Method, Maximum filterResumo
Strut-and-tie models are mechanism-based truss models applied in the design of reinforced
concrete structures. This paper applies the plastic formulation of the ground structure method to obtain
the force paths used in such models. The educational code GRAND is adapted to include the reactions
in the constraint nodes in the design variables in addition to que cross-sectional areas and the axial forces
of the bars. The optimization problem is written as a linear programing by introducing slack variables
related to the areas, axial forces and reactions. The maximum filter is applied to extract a topology in
equilibrium at the end of the optimization process. The original filter is adapted in order to apply the
filter to the maximum areas of the tensile and compression bars. This procedure prevents inadvertent
cut of thin bars of the resistant material. Numerical examples are presented to demonstrate the
applicability of the proposal.
