Research Article
Aug 1974
Torsion-Bending-Shear Interaction for Concrete Beams
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VIEW THE REPLYAuthors: Lennart Elfren, Inge Karlsson, and Anders LosbergAuthor Affiliations
Publication: Journal of the Structural Division
Volume 100, Issue 8
Abstract
A rational, simple method is presented for analysis of the torsion-bending-shear interaction at failure for reinforced concrete beams. Equilibrium equations are studied for observed failure mechanisms. Three mechanisms can occur depending on where the concrete compression zone is formed: in the top (mode t), in the bottom (mode b), or in one vertical side (mode s). In modes t and b, the torsion-bending and the shear-bending interaction are governed by second-degree parabolas, whereas the torsion-shear interaction is governed by an ellipse. In mode s, the interaction surface is a cylinder with an elliptic base in the torsion-shear plane. The interaction in this mode is not influenced by the value of the bending moment, M. Approximations regarding the lengths of the moment lever arms and regarding the shear-carrying capacity are examined. Some test results are presented to demonstrate the accuracy of the method. The main feature of the method is that the vertical shear forces are considered in a simple but rational way.
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Published In
Journal of the Structural Division
Volume 100 • Issue 8 • August 1974
Pages: 1657 - 1676
Copyright
© 1974 American Society of Civil Engineers.
History
Published in print: Aug 1974
Published online: Feb 1, 2021
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Authors
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Lennart Elfren
Assoc. Prof. of Struct. Engrg., Univ. of Luleå, Luleå, Sweden
Inge Karlsson
Project Engr., Cementa AB, Malmö, Sweden
Anders Losberg
Prof. and Head, Div. of Concrete Structures, Chalmers Univ. of Tech., Göteborg, Sweden
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