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

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Mahmoudabadi Masoud; AKBARI REZA; Hasani Seyed MohammadReza

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Paper Information

Journal: JOURNAL OF STRUCTURAL AND CONSTRUCTION ENGINEERING Year:2021 | Volume:8 | Issue:2 Page(s): 141-158

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Information Journal Paper

Title

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

Author(s)

Mahmoudabadi Masoud | AKBARI REZA | Hasani Seyed MohammadReza | Issue Writer Certificate

Keywords

Elastic bucklingQ1

Uniform and Non-UniformQ1

columnsQ2

Axial loadQ1

EigenvalueQ2

Finite elementQ2

Abstract

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 the help of 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.

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APA: Copy

Mahmoudabadi, Masoud, AKBARI, REZA, & Hasani, Seyed MohammadReza. (2021). he Study of Elastic Buckling Load of Uniform & Non-Uniform Columns Under Non-Uniform Axial Loading Using Finite Element Method. JOURNAL OF STRUCTURAL AND CONSTRUCTION ENGINEERING, 8(2 ), 141-158. SID. https://sid.ir/paper/396817/en

Vancouver: Copy

Mahmoudabadi Masoud, AKBARI REZA, Hasani Seyed MohammadReza. he Study of Elastic Buckling Load of Uniform & Non-Uniform Columns Under Non-Uniform Axial Loading Using Finite Element Method. JOURNAL OF STRUCTURAL AND CONSTRUCTION ENGINEERING[Internet]. 2021;8(2 ):141-158. Available from: https://sid.ir/paper/396817/en

IEEE: Copy

Masoud Mahmoudabadi, REZA AKBARI, and Seyed MohammadReza Hasani, “he Study of Elastic Buckling Load of Uniform & Non-Uniform Columns Under Non-Uniform Axial Loading Using Finite Element Method,” JOURNAL OF STRUCTURAL AND CONSTRUCTION ENGINEERING, vol. 8, no. 2 , pp. 141–158, 2021, [Online]. Available: https://sid.ir/paper/396817/en

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