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J.M. Ortuzar, A. Samartin, "Some Consistent Finite Element Formulations of 1-D Beam Models: A Comparative Study", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 117-132, 1995. doi:10.4203/ccp.33.4.3

Abstract

A consistent Finite Element formulation has been developed for four classical l-D beam models.

This formulation is based upon the solution of the homogeneous differential equation (or equations) associated with each model. Results such as the shape functions, stiffness matrices and consistent force vectors for the constant section beam have been found. Some of these results have been compared with the corresponding ones obtained by the standard Finite Element Method (i.e. using polynomial expansions for the field variables).

Some of the difficulties reported in the literature concerning some of these models may be avoided by this technique. This one has also been applied here in order to obtain an alternative consistent formulation to the one presented in the Eurocode 3 for the amplification factor of the deflections for built-up compression members.

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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: 33 DEVELOPMENTS IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping Paper IV.3 Some Consistent Finite Element Formulations of 1-D Beam Models: A Comparative Study J.M. Ortuzar and A. Samartin Department of Structural Mechanics, Universidad Politecnica de Madrid, Madrid, Spain doi:10.4203/ccp.33.4.3 purchase the full-text of this paper Full Bibliographic Reference for this paper J.M. Ortuzar, A. Samartin, "Some Consistent Finite Element Formulations of 1-D Beam Models: A Comparative Study", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 117-132, 1995. doi:10.4203/ccp.33.4.3 Abstract A consistent Finite Element formulation has been developed for four classical l-D beam models. This formulation is based upon the solution of the homogeneous differential equation (or equations) associated with each model. Results such as the shape functions, stiffness matrices and consistent force vectors for the constant section beam have been found. Some of these results have been compared with the corresponding ones obtained by the standard Finite Element Method (i.e. using polynomial expansions for the field variables). Some of the difficulties reported in the literature concerning some of these models may be avoided by this technique. This one has also been applied here in order to obtain an alternative consistent formulation to the one presented in the Eurocode 3 for the amplification factor of the deflections for built-up compression members. 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 £78 +P&P)
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