Global second order effects in reinforced concrete buildings: simplified criterion based on Galerkin’s method
Abstract Global second order effects in reinforced concrete buildings can be estimated using numerical or simplified methods, such as the γz coefficient, presented in the Brazilian standard. This paper proposes a new simplified parameter, which is deduced by the Galerkin’s Method by Weighted Residua...
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Instituto Brasileiro do Concreto (IBRACON)
2024-01-01
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Series: | Revista IBRACON de Estruturas e Materiais |
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Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1983-41952024000600202&tlng=en |
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author | Rafael Nunes da Cunha Camila de Sousa Vieira Rainara Souza Gomes Ludmila dos Santos da Silva Ludmilson Abritta Mendes David Leonardo Nascimento de Figueiredo Amorim |
author_facet | Rafael Nunes da Cunha Camila de Sousa Vieira Rainara Souza Gomes Ludmila dos Santos da Silva Ludmilson Abritta Mendes David Leonardo Nascimento de Figueiredo Amorim |
author_sort | Rafael Nunes da Cunha |
collection | DOAJ |
description | Abstract Global second order effects in reinforced concrete buildings can be estimated using numerical or simplified methods, such as the γz coefficient, presented in the Brazilian standard. This paper proposes a new simplified parameter, which is deduced by the Galerkin’s Method by Weighted Residuals. In order to evaluate the accuracy of the proposed methodology, 42 planar frames (21 framed system structures and 21 dual system structures) were analysed in terms of internal forces and displacements. Such results were compared to those obtained by the γz coefficient and to the reference results obtained throughout a geometric nonlinear elastic finite element program. The precision of the results was defined by statistical analyses, which showed that the results using the proposed parameter were closer to the reference ones, even in the recommended range for using the γz coefficient. |
first_indexed | 2024-03-08T09:37:19Z |
format | Article |
id | doaj.art-ee7e7049549b4db088777e1d7f6f5883 |
institution | Directory Open Access Journal |
issn | 1983-4195 |
language | English |
last_indexed | 2024-03-08T09:37:19Z |
publishDate | 2024-01-01 |
publisher | Instituto Brasileiro do Concreto (IBRACON) |
record_format | Article |
series | Revista IBRACON de Estruturas e Materiais |
spelling | doaj.art-ee7e7049549b4db088777e1d7f6f58832024-01-30T07:39:54ZengInstituto Brasileiro do Concreto (IBRACON)Revista IBRACON de Estruturas e Materiais1983-41952024-01-0117610.1590/s1983-41952024000600003Global second order effects in reinforced concrete buildings: simplified criterion based on Galerkin’s methodRafael Nunes da Cunhahttps://orcid.org/0000-0003-2503-6758Camila de Sousa Vieirahttps://orcid.org/0000-0002-5371-191XRainara Souza Gomeshttps://orcid.org/0000-0003-3856-8999Ludmila dos Santos da Silvahttps://orcid.org/0009-0001-8011-9460Ludmilson Abritta Mendeshttps://orcid.org/0000-0002-8202-7623David Leonardo Nascimento de Figueiredo Amorimhttps://orcid.org/0000-0002-9233-3114Abstract Global second order effects in reinforced concrete buildings can be estimated using numerical or simplified methods, such as the γz coefficient, presented in the Brazilian standard. This paper proposes a new simplified parameter, which is deduced by the Galerkin’s Method by Weighted Residuals. In order to evaluate the accuracy of the proposed methodology, 42 planar frames (21 framed system structures and 21 dual system structures) were analysed in terms of internal forces and displacements. Such results were compared to those obtained by the γz coefficient and to the reference results obtained throughout a geometric nonlinear elastic finite element program. The precision of the results was defined by statistical analyses, which showed that the results using the proposed parameter were closer to the reference ones, even in the recommended range for using the γz coefficient.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1983-41952024000600202&tlng=englobal second order effectsreinforced concrete structuresweighted residualsGalerkin’s method |
spellingShingle | Rafael Nunes da Cunha Camila de Sousa Vieira Rainara Souza Gomes Ludmila dos Santos da Silva Ludmilson Abritta Mendes David Leonardo Nascimento de Figueiredo Amorim Global second order effects in reinforced concrete buildings: simplified criterion based on Galerkin’s method Revista IBRACON de Estruturas e Materiais global second order effects reinforced concrete structures weighted residuals Galerkin’s method |
title | Global second order effects in reinforced concrete buildings: simplified criterion based on Galerkin’s method |
title_full | Global second order effects in reinforced concrete buildings: simplified criterion based on Galerkin’s method |
title_fullStr | Global second order effects in reinforced concrete buildings: simplified criterion based on Galerkin’s method |
title_full_unstemmed | Global second order effects in reinforced concrete buildings: simplified criterion based on Galerkin’s method |
title_short | Global second order effects in reinforced concrete buildings: simplified criterion based on Galerkin’s method |
title_sort | global second order effects in reinforced concrete buildings simplified criterion based on galerkin s method |
topic | global second order effects reinforced concrete structures weighted residuals Galerkin’s method |
url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1983-41952024000600202&tlng=en |
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