First-order generalized beam theory for curved members with circular axis

Nuno Peres, Rodrigo Gonçalves, Dinar Camotim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a first-order Generalized Beam Theory (GBT) formulation for thinwalled members with circular axis and undergoing complex global-distortional-local deformation. The fundamental equations are derived on the basis of the usual GBT kinematic assumptions (Kirchhoff, Vlasov and wall in-plane inextensibility), leading to a formulation able to retrieve accurate solutions with only a few cross-section deformation modes (cross-section DOFs). It is shown that the classic Winkler and Vlasov theories can be recovered from the derived formulation. A GBT-based finite element is use to analyze numerical examples illustrating the application and potential of the proposed formulation.

Original languageEnglish
Title of host publicationWei-Wen Yu International Specialty Conference on Cold-Formed Steel Structures 2016 - Recent Research and Developments in Cold-Formed Steel Design and Construction
PublisherMissouri University of Science and Technology, Wei-Wen Yu Center for Cold-Formed Steel Structures
Pages1-15
Number of pages15
Publication statusPublished - 1 Jan 2016
EventWei-Wen Yu International Specialty Conference on Cold-Formed Steel Structures 2016 - Baltimore, United States
Duration: 9 Nov 201610 Nov 2016

Conference

ConferenceWei-Wen Yu International Specialty Conference on Cold-Formed Steel Structures 2016
CountryUnited States
CityBaltimore
Period9/11/1610/11/16

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  • Cite this

    Peres, N., Gonçalves, R., & Camotim, D. (2016). First-order generalized beam theory for curved members with circular axis. In Wei-Wen Yu International Specialty Conference on Cold-Formed Steel Structures 2016 - Recent Research and Developments in Cold-Formed Steel Design and Construction (pp. 1-15). Missouri University of Science and Technology, Wei-Wen Yu Center for Cold-Formed Steel Structures.