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EFFICIENT CROSS-SECTIONAL ANALYSIS TECHNIQUE FOR ARBITRARY-SHAPED STEEL SECTIONS USING GAUSSIAN SEGMENTAL ELEMENTS
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DOI：10.18057/IJASC.2026.22.1.10.png)
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Abstract
En 中文
This research introduces an efficient cross-sectional analysis algorithm utilizing innovative Gaussian segmental elements for arbitrary-shaped steel sections. Steel members with arbitrary-shaped sections are gradually widely employed in engineering due to their mechanical benefits. Achieving accuracy in cross-sectional analysis remains crucial for the understanding of their comprehensive structural behavior and enhancing design optimization. Traditional fiber-based crosssectional analysis methods prioritize accuracy but often compromise computational efficiency. The proposed algorithm leverages the Gaussian quadrature method, renowned for its precise approximation of definite integrals, to address complex cross-sectional geometries. In addition, a refined line-segment model is introduced to solve the overlapping problem by configuring eccentricities at the ends of segments. The paper elaborates on the derivation of the novel Gaussian segmental element designed for modeling the arbitrary-shaped section, determining the section properties, generating full yield surfaces, and calculating the moment-thrust-curvature relationships. Notably, the algorithm balances accuracy and computational efficiency by strategically selecting integration Gauss points and weights across thicknesses. Three groups of examples are provided to demonstrate the accuracy and efficiency of the proposed method for the cross-sectional analysis of arbitrary-shaped steel sections. Copyright (c) 2026 by The Hong Kong Institute of Steel Construction. All rights reserved.
Keywords:
Arbitrary-shaped steel sections
Cross-sectional analysis
Yield surface
Moment-thrust-curvature
Gauss integration
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Papers:
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