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

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 th...

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Main Authors: Mohd Yassin, A.Y., Nethercot, D.A.
Format: Article
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.19601 /
Published: SpringerOpen 2017
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85014342687&doi=10.1007%2fs40091-016-0147-4&partnerID=40&md5=3b8bfe9f617464a11e9946bf3a0ae343
http://eprints.utp.edu.my/19601/
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spelling utp-eprints.196012018-04-20T07:14:21Z Non-iterative moment capacities of complex composite beams using Fourier series Mohd Yassin, A.Y. Nethercot, D.A. 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. © 2016, The Author(s). SpringerOpen 2017 Article PeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85014342687&doi=10.1007%2fs40091-016-0147-4&partnerID=40&md5=3b8bfe9f617464a11e9946bf3a0ae343 Mohd Yassin, A.Y. and Nethercot, D.A. (2017) Non-iterative moment capacities of complex composite beams using Fourier series. International Journal of Advanced Structural Engineering, 9 (1). pp. 37-49. http://eprints.utp.edu.my/19601/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description 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. © 2016, The Author(s).
format Article
author Mohd Yassin, A.Y.
Nethercot, D.A.
spellingShingle Mohd Yassin, A.Y.
Nethercot, D.A.
Non-iterative moment capacities of complex composite beams using Fourier series
author_sort Mohd Yassin, A.Y.
title Non-iterative moment capacities of complex composite beams using Fourier series
title_short Non-iterative moment capacities of complex composite beams using Fourier series
title_full Non-iterative moment capacities of complex composite beams using Fourier series
title_fullStr Non-iterative moment capacities of complex composite beams using Fourier series
title_full_unstemmed Non-iterative moment capacities of complex composite beams using Fourier series
title_sort non-iterative moment capacities of complex composite beams using fourier series
publisher SpringerOpen
publishDate 2017
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85014342687&doi=10.1007%2fs40091-016-0147-4&partnerID=40&md5=3b8bfe9f617464a11e9946bf3a0ae343
http://eprints.utp.edu.my/19601/
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score 11.62408