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R. Levy and E. Gal

Faculty of Civil Engineering, Technion - Israel Institute of Technology, Haifa, Israel

doi:10.4203/ccp.55.5.1

R. Levy, E. Gal, "Three-Dimensional Beam-Columns of Varying Cross Section", in B.H.V. Topping, (Editor), "Advances in Computational Structural Mechanics", Civil-Comp Press, Edinburgh, UK, pp 85-91, 1998. doi:10.4203/ccp.55.5.1

Abstract

This paper is concerned with three-dimensional rectangular beam-columns whose height and width may vary linearly along their length. The basic four coupled differential equations governing the behavior of three-dimensional beam columns are first rederived using the method of perturbations. These equations are reformulated to include varying cross sections. Finally a 6x6 stiffness matrix (which is sufficient to describe 3-D behavior) is computed by solving the equations 6 times for a sequence of appropriate discontinuities. The finite difference method is employed for that purpose. Timoshenko's closed form solution of a tapered column is chosen for establishing confidence in the proposed formulation.

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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: 55 ADVANCES IN COMPUTATIONAL STRUCTURAL MECHANICS Edited by: B.H.V. Topping Paper V.1 Three-Dimensional Beam-Columns of Varying Cross Section R. Levy and E. Gal Faculty of Civil Engineering, Technion - Israel Institute of Technology, Haifa, Israel doi:10.4203/ccp.55.5.1 purchase the full-text of this paper Full Bibliographic Reference for this paper R. Levy, E. Gal, "Three-Dimensional Beam-Columns of Varying Cross Section", in B.H.V. Topping, (Editor), "Advances in Computational Structural Mechanics", Civil-Comp Press, Edinburgh, UK, pp 85-91, 1998. doi:10.4203/ccp.55.5.1 Abstract This paper is concerned with three-dimensional rectangular beam-columns whose height and width may vary linearly along their length. The basic four coupled differential equations governing the behavior of three-dimensional beam columns are first rederived using the method of perturbations. These equations are reformulated to include varying cross sections. Finally a 6x6 stiffness matrix (which is sufficient to describe 3-D behavior) is computed by solving the equations 6 times for a sequence of appropriate discontinuities. The finite difference method is employed for that purpose. Timoshenko's closed form solution of a tapered column is chosen for establishing confidence in the proposed formulation. 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 £95 +P&P)
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