A Linear Theory for Pretwisted Elastic Beams

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    A linear theory for pretwisted elastic beams subjected to general loads is developed from the potential energy functional. The longitudinal strain distribution is that of a similar beam without pretwist supplemented by terms from the warping function and its longitudinal derivative. The paper contains a general system of differential equations and gives explicit solutions for homogenous extension, torsion, and bending. The theory accounts explicitly for the shear center, the elastic center, and the axis of pretwist. The resulting torsion-extension coupling is in agreement with a recent asymptotic result from three-dimensional elasticity apart from the limitation imposed by neglecting deformations of the cross sections in their own plane.
    Original languageEnglish
    JournalJournal of Applied Mechanics
    Volume50
    Issue number1
    Pages (from-to)137-142
    ISSN0021-8936
    DOIs
    Publication statusPublished - 1983

    Cite this

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    title = "A Linear Theory for Pretwisted Elastic Beams",
    abstract = "A linear theory for pretwisted elastic beams subjected to general loads is developed from the potential energy functional. The longitudinal strain distribution is that of a similar beam without pretwist supplemented by terms from the warping function and its longitudinal derivative. The paper contains a general system of differential equations and gives explicit solutions for homogenous extension, torsion, and bending. The theory accounts explicitly for the shear center, the elastic center, and the axis of pretwist. The resulting torsion-extension coupling is in agreement with a recent asymptotic result from three-dimensional elasticity apart from the limitation imposed by neglecting deformations of the cross sections in their own plane.",
    author = "Steen Krenk",
    year = "1983",
    doi = "10.1115/1.3166980",
    language = "English",
    volume = "50",
    pages = "137--142",
    journal = "Journal of Applied Mechanics",
    issn = "0021-8936",
    publisher = "American Society of Mechanical Engineers",
    number = "1",

    }

    A Linear Theory for Pretwisted Elastic Beams. / Krenk, Steen.

    In: Journal of Applied Mechanics, Vol. 50, No. 1, 1983, p. 137-142.

    Research output: Contribution to journalJournal articleResearchpeer-review

    TY - JOUR

    T1 - A Linear Theory for Pretwisted Elastic Beams

    AU - Krenk, Steen

    PY - 1983

    Y1 - 1983

    N2 - A linear theory for pretwisted elastic beams subjected to general loads is developed from the potential energy functional. The longitudinal strain distribution is that of a similar beam without pretwist supplemented by terms from the warping function and its longitudinal derivative. The paper contains a general system of differential equations and gives explicit solutions for homogenous extension, torsion, and bending. The theory accounts explicitly for the shear center, the elastic center, and the axis of pretwist. The resulting torsion-extension coupling is in agreement with a recent asymptotic result from three-dimensional elasticity apart from the limitation imposed by neglecting deformations of the cross sections in their own plane.

    AB - A linear theory for pretwisted elastic beams subjected to general loads is developed from the potential energy functional. The longitudinal strain distribution is that of a similar beam without pretwist supplemented by terms from the warping function and its longitudinal derivative. The paper contains a general system of differential equations and gives explicit solutions for homogenous extension, torsion, and bending. The theory accounts explicitly for the shear center, the elastic center, and the axis of pretwist. The resulting torsion-extension coupling is in agreement with a recent asymptotic result from three-dimensional elasticity apart from the limitation imposed by neglecting deformations of the cross sections in their own plane.

    U2 - 10.1115/1.3166980

    DO - 10.1115/1.3166980

    M3 - Journal article

    VL - 50

    SP - 137

    EP - 142

    JO - Journal of Applied Mechanics

    JF - Journal of Applied Mechanics

    SN - 0021-8936

    IS - 1

    ER -