Efficient Line-Element Method for the Second-Order Analysis of Steel Members with Nonsymmetric Thick-Walled Cross Sections
Publication: Journal of Structural Engineering
Volume 150, Issue 2
Abstract
When designing steel members with nonsymmetric cross sections, it is essential to consider twisting effects when performing stability checks via second-order analysis according to the ANSI/AISC 360-22. Existing line-element formulations for nonsymmetric sections are mostly derived based on thin-walled assumptions, leading to an overestimation of member strength due to the inaccurate prediction of member behavior, especially when the cross sections have moderate wall thickness. This paper proposes an efficient line-element method for second-order analysis of steel members with nonsymmetric thick-walled sections considering the warping degree of freedom (DOF) and the twisting effects along with the transverse shear deformations. Additionally, a two-dimensional (2D) finite-element cross section analysis method employing the constant strain triangle (CST) element is developed to calculate the section properties for arbitrary cross sections, including the Wagner and the shear coefficients. The proposed method is implemented in the educational structural analysis software MASTAN2 and verified through two sets of examples.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request.
Acknowledgments
The work described in this paper was partially supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. PolyU/21E/15203121) and a grant from the National Natural Science Foundation of China (No. 52008410).
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© 2023 American Society of Civil Engineers.
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Received: Mar 2, 2023
Accepted: Sep 25, 2023
Published online: Nov 30, 2023
Published in print: Feb 1, 2024
Discussion open until: Apr 30, 2024
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