Título: | DESIGN OF CONCRETE SLAB PANELS USING THE FINITE ELEMENT METHOD AND MATHEMATICAL PROGRAMMING | ||||||||||||
Autor: |
ALEXANDRE MIRANDA MONTALVERNE |
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Colaborador(es): |
LUIZ ELOY VAZ - Orientador MARTA DE SOUZA LIMA VELASCO - Orientador |
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Catalogação: | 31/OUT/2001 | Língua(s): | PORTUGUESE - BRAZIL |
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Tipo: | TEXT | Subtipo: | THESIS | ||||||||||
Notas: |
[pt] Todos os dados constantes dos documentos são de inteira responsabilidade de seus autores. Os dados utilizados nas descrições dos documentos estão em conformidade com os sistemas da administração da PUC-Rio. [en] All data contained in the documents are the sole responsibility of the authors. The data used in the descriptions of the documents are in conformity with the systems of the administration of PUC-Rio. |
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Referência(s): |
[pt] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=2059&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=2059&idi=2 |
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DOI: | https://doi.org/10.17771/PUCRio.acad.2059 | ||||||||||||
Resumo: | |||||||||||||
In this work it is presented computational methodologies
for the design of reinforced concrete massive slabs. The
design of the slabs is made using an elastic and perfect
elastoplastic analysis, an optimum design using
mathematical programming and a plastic analysis project.
The conventional project of reinforced concrete slabs has
been made starting from efforts determined by the
hypothesis of linear elastic behavior of the material.
Using the computational methodologies developed in this
work, it is proposed a procedure of design of reinforced
concrete massive slabs that uses efforts obtained through a
perfect elasto-plastic analysis developed by the finite
element method. The design of the orthogonal
reinforcements, positive and negative, in each point of the
slab is made in order to assist the yield criteria defined
in function of the bending and torsion moments and in order
to obtain the lowest consumption of reinforcement. The
limit states of serviceability corresponding to the slab
deflection and crack opening are also considered in the
design.The elastic and perfect elasto-plastic analyses of
the slabs, described by their medium plan and discretized
by the finite element method, are performed under the
hypothesis of small displacements with consistent
formulation in displacements. In the perfect elasto-plastic
analysis, the Newton-Raphson algorithm is used to solve the
equilibrium equations at global level of the structure. The
relationships of the Plasticity Theory are resolved at
local level,that is, for each Gauss point of the iscretized
structure. The return mapping problem in the perfect elasto-
plastic analysis is formulated as a problem of Mathematical
Programming (PM). The Method of the Interior Points
proposed by Herskovits (HERSKOVITS, 1995) is used as a
return mapping algorithm in the perfect elasto-plastic
analysis.
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