Statics of Thin-Walled Pretwisted Beams

Steen Krenk, O. Gunneskov

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    The displacement and strain fields of thin-walled pretwisted beams are prescribed in terms of generalized displacements for extension, bending, torsion and warping. Differential equations and boundary conditions are obtained from the elastic potential energy functional without assuming coincidence of the beam axis with any of the structural axes. This procedure gives a unique consistent definition of sectional moments and generalized forces. Some simple explicit formulae are derived for homogeneous tension–torsion. For the general case a computer code is developed on the basis of discretized generalized displacements and a modified energy functional, devised to obtain consistent lengthwise variation of the stresses and a unique decomposition of the torsional moment. Examples show agreement with analytical results for cylindrical beams and illustrate the various coupling effects for beams with pretwist. They also demonstrate the usefulness of the explicit formulae for homogeneous tension–torsion.
    Original languageEnglish
    JournalInternational Journal for Numerical Methods in Engineering
    Volume17
    Issue number9
    Pages (from-to)1407-1426
    ISSN0029-5981
    DOIs
    Publication statusPublished - 1981

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