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E.M. López¹, J.L. Romero², M.A. Ortega³ and O. Río¹

¹Institute of Construction Sciences "Eduardo Torroja"-CSIC, Madrid, Spain
²School of Civil Engineering, Technical University of Madrid, Spain
³Department of Civil Engineering, Empresarios Agrupados, S.A, Madrid, Spain

doi:10.4203/ccp.102.209

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, "Simplified Finite Element Assessment of Beams With and Without Shear Deformation", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 209, 2013. doi:10.4203/ccp.102.209

Keywords: finite element method, equivalent distributed load, exact nodal solution, Legendre orthogonal polynomials, Timoshenko beam model, .

Summary

This paper presents a simplified finite element (FE) methodology for solving accurately beam models with (Timoshenko) and without (Bernoulli-Euler) shear deformation. Special emphasis is made on showing how it is possible to obtain the exact solution on the nodes and a good accuracy inside the element. The proposed simplifying concept, denominated as the equivalent distributed load (EDL) of any order, is based on the use of Legendre orthogonal polynomials to approximate the original or acting load for computing the results between the nodes. The 1-span beam examples show that this is a promising procedure that allows the aim of using either one FE and an EDL of slightly higher order or by using an slightly larger number of FEs leaving the EDL in the lowest possible order assumed by definition to be equal to 4 independently of how irregular the beam is loaded.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 102 PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: Paper 209 Simplified Finite Element Assessment of Beams With and Without Shear Deformation E.M. López¹, J.L. Romero², M.A. Ortega³ and O. Río¹ ¹Institute of Construction Sciences "Eduardo Torroja"-CSIC, Madrid, Spain ²School of Civil Engineering, Technical University of Madrid, Spain ³Department of Civil Engineering, Empresarios Agrupados, S.A, Madrid, Spain doi:10.4203/ccp.102.209 purchase the full-text of this paper Full Bibliographic Reference for this paper , "Simplified Finite Element Assessment of Beams With and Without Shear Deformation", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 209, 2013. doi:10.4203/ccp.102.209 Keywords: finite element method, equivalent distributed load, exact nodal solution, Legendre orthogonal polynomials, Timoshenko beam model, . Summary This paper presents a simplified finite element (FE) methodology for solving accurately beam models with (Timoshenko) and without (Bernoulli-Euler) shear deformation. Special emphasis is made on showing how it is possible to obtain the exact solution on the nodes and a good accuracy inside the element. The proposed simplifying concept, denominated as the equivalent distributed load (EDL) of any order, is based on the use of Legendre orthogonal polynomials to approximate the original or acting load for computing the results between the nodes. The 1-span beam examples show that this is a promising procedure that allows the aim of using either one FE and an EDL of slightly higher order or by using an slightly larger number of FEs leaving the EDL in the lowest possible order assumed by definition to be equal to 4 independently of how irregular the beam is loaded. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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