Optimization of reinforced concrete polygonal sections under biaxial bending with axial force.
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2018
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Resumo
Concrete is the world’s most utilized material for production of the structural
elements employed in civil construction. Due to its low tensile strength and
brittle nature it is reinforced with steel bars forming the reinforced concrete (RC
structure). Linear elements of reinforced concrete are commonly employed in
multi-story buildings, bridges, industrial sheds, among others. In this study an
optimization algorithm is presented to define the amount of steel and its location
within a concrete polygonal section subjected to biaxial bending with axial
force, so that the amount of steel would be the minimum needed to resist the
soliciting forces. Therefore, the project variables are: location, diameter and
number of steel bars to be distributed within the concrete polygonal section.
The sequential linear programming method is used to determine the optimized
section. In this method, the non-linear problem of determining the resistance
forces of the section in relation to the project variables is approximated by a sequence
of linear problems, which would have its optimal point defined for each
step using the Simplex method. Formulation validation is done through results
of examples found in literature, and also by means of analytical solutions of
simple problems, such as rectangular sections under axial force and moment in
only one axis of symmetry. The results show the efficiency of the algorithm
implemented in the optimized determination of the quantity and position of the
bars of a given diameter in the polygonal section of reinforced concrete under
biaxial bending with axial force.
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Palavras-chave
RC polygonal section, Sequential linear programming method
Citação
SILVA, A. R. da; FARIA, F. C. de. Optimization of reinforced concrete polygonal sections under biaxial bending with axial force. Latin American Journal of Solids and Structures, v. 15, p. 123, 2018. Disponível em: <http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018001000500>. Acesso em: 12 fev. 2019.