Master's Dissertation
DOI
10.11606/D.18.2014.tde-28072014-093844
Document
Author
Full name
Arthur Álax de Araujo Albuquerque
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2014
Supervisor
Committee
Almeida, Valério da Silva
Carvalho, Roberto Chust
Title in Portuguese
Implementação de elementos finitos de barra e placa para a análise de esforços em tabuleiros de pontes por meio de superfícies de influência
Keywords in Portuguese
Elementos finitos
Pontes
Reissner-Mindlin
Shear locking
Superfície de influência
Tabelas de Rüsch
Timoshenko
Abstract in Portuguese
Title in English
Bar and plate finite elements implementation for the bridge deck effort distribution analysis through influence surfaces
Keywords in English
Bridges
Finite elements
Influence surface
Reissner-Mindlin
Rüsch's tables
Shear locking
Timoshenko
Abstract in English
This work aims at the analysis of bridge deck stresses through influence surfaces. The finite element method (FEM) is used and the results are compared with those of Rüsch's tables. The bar and plate finite elements represent stringers, cross beams and slabs bridge deck. These finite elements are implemented in the SIPlacas code and the theories of Timoshenko beam and Reissner-Mindlin plate are used to theirs formulation. The Shear Locking problem is solved by two proposals: reduced integration and definition of element with transversal shear strain assumed (TSSA). The elements with quadratic approximations for the displacements and TSSA are the best suited to the proposed analysis of this research. Such elements have convergence of results considering structures with low discretization. Displacement, bending moment and shear force were the results analyzed. Subsequently a case study on a beam bridge was carried out. The bridge deck is calculated using Rüsch's tables and SIPlacas code. The calculation of the internal forces by SIPlacas is performed in three ways. The first one considers the slabs isolated panels; the second, the slab deck is on a rigid support; and third, the slab deck is on deformable supports. It was concluded that the third configuration showed the lowest internal forces. This configuration is the optimum representation to the structure analysis.