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The Problem of Tension–Torsion of Pretwisted Elastic Beams Revisited
A one-dimensional technical theory for pretwisted isotropic linearly elastic beams loaded in tension and torsion was developed. The analysis was based on a kinematically admissible field written in terms of three generalized displacements, which were determined from the theorem of minimum potential energy. A general analytical solution was developed. The problem of a pretwisted beam with a built-in end and loaded in tension and torsion at the other end was analyzed. The problem also was solved by carrying out detailed three-dimensional finite-element calculations. The predictions of the technical theory agreed very well with the results of the finite-element solution. The effects of Poisson’s ratio were examined, and the applicability of the model to beams of various lengths was discussed.
The Problem of Tension–Torsion of Pretwisted Elastic Beams Revisited
A one-dimensional technical theory for pretwisted isotropic linearly elastic beams loaded in tension and torsion was developed. The analysis was based on a kinematically admissible field written in terms of three generalized displacements, which were determined from the theorem of minimum potential energy. A general analytical solution was developed. The problem of a pretwisted beam with a built-in end and loaded in tension and torsion at the other end was analyzed. The problem also was solved by carrying out detailed three-dimensional finite-element calculations. The predictions of the technical theory agreed very well with the results of the finite-element solution. The effects of Poisson’s ratio were examined, and the applicability of the model to beams of various lengths was discussed.
The Problem of Tension–Torsion of Pretwisted Elastic Beams Revisited
Aravas, Nikolaos (author) / Papadioti, Ioanna (author)
2021-11-10
Article (Journal)
Electronic Resource
Unknown
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