Improved Displacement-Based Timoshenko Beam Element with Enhanced Strains
Publication: Journal of Structural Engineering
Volume 146, Issue 3
Abstract
This paper presents an enhanced strain formulation for conventional displacement-based (DB) Timoshenko beam elements accounting for shear deformations. The proposed beam element is an extension of the original enhanced strain formulation developed for DB Euler-Bernoulli beams, and the inaccuracy due to weak satisfaction of equilibrium is remedied. A strain enhancement is introduced to the axial elongation of the section in such a way that the axial equilibrium is strictly fulfilled. The element formulation is established based on a locking-free finite-element approximation, and a modified fiber model is adopted for the section behavior. The numerical implementation of the element needs only minor changes to the state determination of the original DB element. Two typical reinforced concrete columns are analyzed to demonstrate the capacity of the novel Timoshenko beam element with enhanced strain.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request.
Acknowledgments
This work is supported by the National Key R&D Program of China (2017YFC0803300), the Natural Science Foundation of Jiangsu Province (Grant No. BK20170680), and the National Natural Science Foundation of China (Grant Nos. 51708106 and 51878294).
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Published In
Journal of Structural Engineering
Volume 146 • Issue 3 • March 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Jan 14, 2019
Accepted: Aug 9, 2019
Published online: Dec 23, 2019
Published in print: Mar 1, 2020
Discussion open until: May 23, 2020
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