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Finite element solution of the warping torsion using the equivalent beam-column analogy in multi-span beams

Posted on:2012-11-16Degree:M.S.C.EType:Thesis
University:Universidad Politecnica Puerto Rico (Puerto Rico)Candidate:Falconi Lopez, Heraldo AntonioFull Text:PDF
GTID:2462390011459547Subject:Engineering
Abstract/Summary:
A small, powerful, versatile and straightforward software application will be introduced to analyze problems of warping torsion by means of the analogy between the straight beam-column under mixed transverse and axial loading and the straight beam under restrained warping. This software, originally developed to analyze multi-span beam-columns immersed on elastic foundations, resorts to a high order finite element. Validation against a number of already solved cases will be provided, including, but not limited to the cases in the AISC-Design Guide 9. Additionally, the present work will provide a brief account on the first order general torsion theory, a discussion on the roles analogies play in sciences and engineering, an account on the equivalent beam-column analogy as special case of the equivalent beam on elastic foundation, some details of the aforesaid high-order-finite element, and a contribution of a novel convergence study regarding the axial tensile parameter.
Keywords/Search Tags:Element, Warping, Torsion, Equivalent, Beam-column, Analogy
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