The Study of Elastic Buckling Load of Uniform & Non-Uniform Columns Under Non-Uniform Axial Loading Using Finite Element Method

The need to use non-uniform members in the structures from the past till now had been proposed although the subjects and research references in this case are insufficient. Therefore the use of non-uniform members is inevitable and should be carefully examined. About this members the main subject tha...

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Autores principales:	Masooud Mahmoudabadi, Seyed mohammad Reza Hasani, Reza Akbari
Formato:	article
Lenguaje:	FA
Publicado:	Iranian Society of Structrual Engineering (ISSE) 2021
Materias:	elastic buckling uniform and non-uniform columns axial load eigenvalue finite element Bridge engineering TG1-470 Building construction TH1-9745
Acceso en línea:	https://doaj.org/article/7c507736cda84a1ab94042a7369f1d79
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spelling	oai:doaj.org-article:7c507736cda84a1ab94042a7369f1d792021-11-08T15:54:32ZThe Study of Elastic Buckling Load of Uniform & Non-Uniform Columns Under Non-Uniform Axial Loading Using Finite Element Method2476-39772538-261610.22065/jsce.2019.153522.1689https://doaj.org/article/7c507736cda84a1ab94042a7369f1d792021-04-01T00:00:00Zhttps://www.jsce.ir/article_86848_d20f789483c8603581abb2b6df269147.pdfhttps://doaj.org/toc/2476-3977https://doaj.org/toc/2538-2616The need to use non-uniform members in the structures from the past till now had been proposed although the subjects and research references in this case are insufficient. Therefore the use of non-uniform members is inevitable and should be carefully examined. About this members the main subject that should be investigated is buckling that if it occures it leads to member failure which may leads to collapse of the local or entire structure. So the exact solution of buckling load of non-uniform columns is available only for simple cases. In this paper a method based on finite element method is used for studing the problem of elastic buckling load of non-uniform columns with general cases of cross-section and axial loading. In first the column is devided to arbitrary numbers of finite elements. Then the stiffness matrix and geometric stiffness matrix is obtained based on existing relationship for each element and then for overall column. After applying boundary conditions using the eigenvalue equation to obtain the critical buckling load .It is clear that the effects of changes in cross-section of a column appear in stiffness matrix and changes in axial loading in geometric stiffness matrix. The proposed method in addition to high accuracy is general and could be used by th Matlab codes. Results obtained from this method are compared to ones that presented by Serna et al. The procedure in this paper is rating as a exact solutions but Serna’s method is a closed form method that is from approximated solutions. The results are presented for uniform columns under non-uniform axial loading and non-uniform columns under non-uniform axial loading. Different non-uniform columns contain single web-tapered columns, double web-tapered columns and web-tapered & flange-tapered columns. Also results are presented for various end boundary conditions that contain hinged-hinged, clamped-clamped, hinged-clamped and clamped-freeMasooud MahmoudabadiSeyed mohammad Reza HasaniReza AkbariIranian Society of Structrual Engineering (ISSE)articleelastic bucklinguniform and non-uniform columnsaxial loadeigenvaluefinite elementBridge engineeringTG1-470Building constructionTH1-9745FAJournal of Structural and Construction Engineering, Vol 8, Iss 2, Pp 141-158 (2021)
institution	DOAJ
collection	DOAJ
language	FA
topic	elastic buckling uniform and non-uniform columns axial load eigenvalue finite element Bridge engineering TG1-470 Building construction TH1-9745
spellingShingle	elastic buckling uniform and non-uniform columns axial load eigenvalue finite element Bridge engineering TG1-470 Building construction TH1-9745 Masooud Mahmoudabadi Seyed mohammad Reza Hasani Reza Akbari The Study of Elastic Buckling Load of Uniform & Non-Uniform Columns Under Non-Uniform Axial Loading Using Finite Element Method
description	The need to use non-uniform members in the structures from the past till now had been proposed although the subjects and research references in this case are insufficient. Therefore the use of non-uniform members is inevitable and should be carefully examined. About this members the main subject that should be investigated is buckling that if it occures it leads to member failure which may leads to collapse of the local or entire structure. So the exact solution of buckling load of non-uniform columns is available only for simple cases. In this paper a method based on finite element method is used for studing the problem of elastic buckling load of non-uniform columns with general cases of cross-section and axial loading. In first the column is devided to arbitrary numbers of finite elements. Then the stiffness matrix and geometric stiffness matrix is obtained based on existing relationship for each element and then for overall column. After applying boundary conditions using the eigenvalue equation to obtain the critical buckling load .It is clear that the effects of changes in cross-section of a column appear in stiffness matrix and changes in axial loading in geometric stiffness matrix. The proposed method in addition to high accuracy is general and could be used by th Matlab codes. Results obtained from this method are compared to ones that presented by Serna et al. The procedure in this paper is rating as a exact solutions but Serna’s method is a closed form method that is from approximated solutions. The results are presented for uniform columns under non-uniform axial loading and non-uniform columns under non-uniform axial loading. Different non-uniform columns contain single web-tapered columns, double web-tapered columns and web-tapered & flange-tapered columns. Also results are presented for various end boundary conditions that contain hinged-hinged, clamped-clamped, hinged-clamped and clamped-free
format	article
author	Masooud Mahmoudabadi Seyed mohammad Reza Hasani Reza Akbari
author_facet	Masooud Mahmoudabadi Seyed mohammad Reza Hasani Reza Akbari
author_sort	Masooud Mahmoudabadi
title	The Study of Elastic Buckling Load of Uniform & Non-Uniform Columns Under Non-Uniform Axial Loading Using Finite Element Method
title_short	The Study of Elastic Buckling Load of Uniform & Non-Uniform Columns Under Non-Uniform Axial Loading Using Finite Element Method
title_full	The Study of Elastic Buckling Load of Uniform & Non-Uniform Columns Under Non-Uniform Axial Loading Using Finite Element Method
title_fullStr	The Study of Elastic Buckling Load of Uniform & Non-Uniform Columns Under Non-Uniform Axial Loading Using Finite Element Method
title_full_unstemmed	The Study of Elastic Buckling Load of Uniform & Non-Uniform Columns Under Non-Uniform Axial Loading Using Finite Element Method
title_sort	study of elastic buckling load of uniform & non-uniform columns under non-uniform axial loading using finite element method
publisher	Iranian Society of Structrual Engineering (ISSE)
publishDate	2021
url	https://doaj.org/article/7c507736cda84a1ab94042a7369f1d79
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The Study of Elastic Buckling Load of Uniform & Non-Uniform Columns Under Non-Uniform Axial Loading Using Finite Element Method

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