Anwendung der Verallgemeinerten Technische Biegetheorie auf kreisförmig gekrümmte Stäbe

Translated title of the contribution: Application of Generalised Beam Theory to curved members with circular axis

Rodrigo Gonçalves, Dinar Camotim, Nuno Peres

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Dedicated to Prof. Dr.-Ing. habil. Joachim Lindner on the occasion of his 80th birthday. This paper reports the latest developments concerning the application of Generalised Beam Theory (GBT) to thin-walled members with deformable cross-section and whose undeformed axis is a circular arc, with no pre-twist. Initially, the fundamental equations and relations are presented, leading to the first-order equilibrium equations and associated boundary conditions, which can be written in terms of GBT modal matrices or stress resultants. Then, the procedure to obtain the cross-section deformation modes is explained. Arbitrary (open, closed or ”mixed“) flat-walled cross-sections are covered, even though the kinematic constraints employed to subdivide the modes are much more complex than for prismatic members – in particular, the mode shapes become dependent on the curvature of the beam axis. Using a displacement-based GBT finite element, a set of illustrative examples is presented, involving complex local-distortional-global deformation. These examples show that very accurate results are obtained with the proposed GBT formulation and that the modal solution provides in-depth insight into the structural behaviour of naturally curved members.

Translated title of the contributionApplication of Generalised Beam Theory to curved members with circular axis
Original languageGerman
Pages (from-to)345-354
Number of pages10
Issue number4
Publication statusPublished - 1 Apr 2018


  • Analysis and calculation
  • cross-section deformation
  • Generalised Beam Theory GBT
  • IT in steel construction
  • naturally curved bar
  • Spatial structures
  • Steel buildings
  • structural behaviour
  • thin-walled member


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