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...

Full description

Bibliographic Details
Main Authors: 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
Format: Article
Language:English
Published: Instituto Brasileiro do Concreto (IBRACON) 2024-01-01
Series:Revista IBRACON de Estruturas e Materiais
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1983-41952024000600202&tlng=en
_version_ 1797338849977827328
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
work_keys_str_mv AT rafaelnunesdacunha globalsecondordereffectsinreinforcedconcretebuildingssimplifiedcriterionbasedongalerkinsmethod
AT camiladesousavieira globalsecondordereffectsinreinforcedconcretebuildingssimplifiedcriterionbasedongalerkinsmethod
AT rainarasouzagomes globalsecondordereffectsinreinforcedconcretebuildingssimplifiedcriterionbasedongalerkinsmethod
AT ludmiladossantosdasilva globalsecondordereffectsinreinforcedconcretebuildingssimplifiedcriterionbasedongalerkinsmethod
AT ludmilsonabrittamendes globalsecondordereffectsinreinforcedconcretebuildingssimplifiedcriterionbasedongalerkinsmethod
AT davidleonardonascimentodefigueiredoamorim globalsecondordereffectsinreinforcedconcretebuildingssimplifiedcriterionbasedongalerkinsmethod