The Torsion-Extension Coupling in Pretwisted Elastic Beams

Steen Krenk

doi:10.1016/0020-7683(83)90038-0

The Torsion-Extension Coupling in Pretwisted Elastic Beams

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Abstract

An explicit asymptotic formula is derived for the untwist of a pretwisted elastic beam subjected to homogeneous extension or equivalently for the longitudinal contraction produced by a torsional moment. It is based on an asymptotic expansion of the three dimensional equations of linear elasticity. The general result consists of two terms, one due to lengthwise variation of the warping of the cross sections and another due to local rotations from bending, when the elastic center is not on the axis of pretwist. The result supports some recent approximate theories for pretwisted elastic beams.

Original language	English
Journal	International Journal of Solids and Structures
Volume	19
Issue number	1
Pages (from-to)	67-72
ISSN	0020-7683
DOIs	https://doi.org/10.1016/0020-7683(83)90038-0
Publication status	Published - 1983

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title = "The Torsion-Extension Coupling in Pretwisted Elastic Beams",

abstract = "An explicit asymptotic formula is derived for the untwist of a pretwisted elastic beam subjected to homogeneous extension or equivalently for the longitudinal contraction produced by a torsional moment. It is based on an asymptotic expansion of the three dimensional equations of linear elasticity. The general result consists of two terms, one due to lengthwise variation of the warping of the cross sections and another due to local rotations from bending, when the elastic center is not on the axis of pretwist. The result supports some recent approximate theories for pretwisted elastic beams.",

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T1 - The Torsion-Extension Coupling in Pretwisted Elastic Beams

AU - Krenk, Steen

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AB - An explicit asymptotic formula is derived for the untwist of a pretwisted elastic beam subjected to homogeneous extension or equivalently for the longitudinal contraction produced by a torsional moment. It is based on an asymptotic expansion of the three dimensional equations of linear elasticity. The general result consists of two terms, one due to lengthwise variation of the warping of the cross sections and another due to local rotations from bending, when the elastic center is not on the axis of pretwist. The result supports some recent approximate theories for pretwisted elastic beams.

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DO - 10.1016/0020-7683(83)90038-0

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JO - International Journal of Solids and Structures

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The Torsion-Extension Coupling in Pretwisted Elastic Beams

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