RESEARCH ARTICLE


Elastic Stability of Circular Arches with the Open Thin-walled Monosym-metric Section Considering the Prebuckling Deformation



Hyo-Jin Ryu1, Jin-Yu Choi2, Gyu-Sei Yi3, Chin-Ok Lee1, Nam-Hyoung Lim*, 1
1 Department of Civil Engineering, Chung Nam National University, 99 Daehak-ro, Yuseong-gu, Daejeon 305-764, South Korea
2 R&D Strategy Division, Korea Railroad Research Institute, 176 Cheoldo bangmulgwan-ro, Uiwang, Gyeonggi-do,437-757, South Korea
3 Department of Civil Engineering, Sun Moon University, 221 Sunmoon-ro, Tangjeong-Myeon, Asan-si, Chungnam 336-708, South Korea


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Creative Commons License
© 2012 Ryu et al;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Department of Civil Engi-neering, Chung Nam National University, 99 Daehak-ro, Yuseong-gu, Dae-jeon 305-764, South Korea; Tel: +82-42-821-7005; Fax: +82-42-825-0318; E-mail: nhrim@cnu.ac.kr


Abstract

The effect of prebuckling in-plane deformations on the elastic flexural-torsional buckling of arches is studied in this paper. Nonlinear strain-displacement relations considering initial curvature effects and higher order prebuckling de-formation terms with curvature in deriving process are substituted into the second variation of the total potential to obtain the buckling energy equation. The analytical solutions for the flexural-torsional buckling moment of arches in uniform bending, containing the effects of the prebuckling deformation, are proposed. Also, the influence of the higher order prebuckling deformation terms with the curvature effects is investigated according to the ratio of the minor axis flexural stiffness to the major axis flexural stiffness.

Keywords: Arch, Curvature effect, Elastic buckling, Flexural-torsional buckling, Prebuckling deformation, Thin-walled.