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Mathematical Problems in Engineering
Volume 2016, Article ID 6929352, 7 pages
http://dx.doi.org/10.1155/2016/6929352
Research Article

Local Buckling Analysis of T-Section Webs with Closed-Form Solutions

School of Civil Engineering, Wuhan University, Wuhan 430072, China

Received 15 October 2016; Accepted 20 November 2016

Academic Editor: Yakov Strelniker

Copyright © 2016 Cheng Liang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper reports on approaches to estimate the critical buckling loads of thin-walled T-sections with closed-form solutions. We first develop a model using energy conservation approach under the assumption that there is no correlation between the restraint coefficient and buckling half-wavelength. Secondly, we propose a numerical approach to estimate the critical buckling conditions under the more realistic torsional stiffener constraint condition. A dimensionless parameter correlated with constraint conditions is introduced through finite element (FE) analysis and data fitting technique in the numerical approach. The critical buckling coefficient and loads can be expressed as explicit functions of the dimensionless parameter. The proposed numerical approach demonstrates higher accuracy than the approach under noncorrelation assumption. Due to the explicit expression of critical buckling loads, the numerical approach presented here can be easily used in the design, analysis, and precision manufacture of T-section webs.