The Problem of Tension–Torsion of Pretwisted Elastic Beams Revisited
Publication: Journal of Engineering Mechanics
Volume 148, Issue 1
Abstract
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.
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Data Availability Statement
All data and finite-element models that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
Helpful discussions with Professor Vassilis Bontozoglou of the University of Thessaly, Greece, on the problem of boundary layers are gratefully acknowledged. This research was cofinanced by Greece and the European Union [European Social Fund (ESF)] through the Operational Programme “Human Resources Development, Education and Lifelong Learning” in the context of Project “Reinforcement of Postdoctoral Researchers–2nd Cycle” (MIS-5033021), implemented by the State Scholarships Foundation (IKY).
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Published In
Journal of Engineering Mechanics
Volume 148 • Issue 1 • January 2022
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Dec 16, 2020
Accepted: Sep 3, 2021
Published online: Nov 10, 2021
Published in print: Jan 1, 2022
Discussion open until: Apr 10, 2022
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