Non-iterative moment capacities of complex composite beams using Fourier series

Airil Y. Mohd Yassin; David A. Nethercot

doi:10.1007/s40091-016-0147-4

Non-iterative moment capacities of complex composite beams using Fourier series

Airil Y. Mohd Yassin^*, David A. Nethercot

^*Corresponding author for this work

School of Energy, Geoscience, Infrastructure and Society

Research output: Contribution to journal › Article › peer-review

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Abstract

A generic procedure is formulated for the determination of the moment capacity of composite beams having a complex cross-section. The key feature is the use of Fourier series to convert the piecewise functions of the cross-sectional stress distribution into a single-rule function. This eliminates the need for several capacity expressions to cover different stress stages, since the procedure permits the use of the general moment capacity expression. It also eliminates any iteration process when determining the location of the neutral axis since equilibrium of the cross-section can be satisfied explicitly. Numerical examples are given to demonstrate the validation and the applications of the formulation.

Original language	English
Pages (from-to)	37-49
Number of pages	13
Journal	International Journal of Advanced Structural Engineering
Volume	9
Issue number	1
Early online date	28 Dec 2016
DOIs	https://doi.org/10.1007/s40091-016-0147-4
Publication status	Published - Mar 2017

Keywords

Cold-formed steel
Composite beam
Fourier’s series
Moment capacity
Stress distribution

ASJC Scopus subject areas

Civil and Structural Engineering

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AB - A generic procedure is formulated for the determination of the moment capacity of composite beams having a complex cross-section. The key feature is the use of Fourier series to convert the piecewise functions of the cross-sectional stress distribution into a single-rule function. This eliminates the need for several capacity expressions to cover different stress stages, since the procedure permits the use of the general moment capacity expression. It also eliminates any iteration process when determining the location of the neutral axis since equilibrium of the cross-section can be satisfied explicitly. Numerical examples are given to demonstrate the validation and the applications of the formulation.

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Non-iterative moment capacities of complex composite beams using Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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