Development of Strut-and-Tie Models in Deep Beams with Web Openings

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Title Development of Strut-and-Tie Models in Deep Beams with Web Openings
Author Guan, Hong; Doh, Jeung-Hwan
Journal Name Advances in Structural Engineering
Editor J. G. Teng
Year Published 2007
Place of publication United Kingdom
Publisher Multi-Science Publishing Co. Ltd.
Abstract The strut-and-tie models of a total of fourteen (14) concrete deep beams with varying size and location of web openings are developed herein using a topology optimisation approach. By systematically eliminating inefficient materials from an over-designed discretized domain, the load transfer mechanism in deep beams is progressively characterised by the residual part of the structure. Both von Mises stress and displacement sensitivity number are used as deletion criteria with the aim of maximising the material efficiency and overall stiffness of the structural beam. The performance indices in terms of von Mises stress and nodal displacement are evaluated to monitor the optimisation process and to determine the optimal topology which is transformed to the strut-and-tie model. The relationship between the strut-and-tie models and the ultimate load-carrying capacity of the beams are discussed in some detail. A series of comparisons offer insight into the varying characteristics of the strut-and-tie models influenced by the size and location of web openings. To demonstrate the effectiveness of the resulting strut-and-tie model in aiding the design of deep beams, a worked design example of a representative beam is also presented where the practical layout of main steel reinforcement is determined.
Peer Reviewed Yes
Published Yes
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Copyright Statement Copyright 2007 Multi-Science Publishing. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 10
Issue Number 6
Page from 697
Page to 711
ISSN 1369-4332
Date Accessioned 2008-01-23
Language en_AU
Faculty Faculty of Science, Environment, Engineering and Technology
Subject PRE2009-Structural Engineering
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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