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C.T. Morley, A.A. Olonisakin, "The Galerkin Method Applied to Compressive Membrane Action", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 15-20, 1995. doi:10.4203/ccp.33.2.1

Abstract

This paper describes a computing procedure, with geometric and material non-linearity, for tackling the problem of compressive membrane action in reinforced concrete slabs with lateral restraint at the boundaries. The aim is to obtain rapid plots of the full load-deflection curve, for rather special cases of axial symmetry, or one-way strips with symmetrical loading. The procedure is based on the Galerkin method, in which the entire slab is one finite-element, but with several shape functions for displacement, the weighting of each shape being selected by the program to minimize equilibrium errors. The program incorporates a modified arc-length procedure to achieve convergence beyond load peaks and snaps-back.

The paper gives a brief outline of the method and programming. Some typical calculated load-deflection curves are presented and compared with experimental results.

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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 II.1 The Galerkin Method Applied to Compressive Membrane Action C.T. Morley and A.A. Olonisakin Department of Engineering, University of Cambridge, Cambridge, UK doi:10.4203/ccp.33.2.1 purchase the full-text of this paper Full Bibliographic Reference for this paper C.T. Morley, A.A. Olonisakin, "The Galerkin Method Applied to Compressive Membrane Action", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 15-20, 1995. doi:10.4203/ccp.33.2.1 Abstract This paper describes a computing procedure, with geometric and material non-linearity, for tackling the problem of compressive membrane action in reinforced concrete slabs with lateral restraint at the boundaries. The aim is to obtain rapid plots of the full load-deflection curve, for rather special cases of axial symmetry, or one-way strips with symmetrical loading. The procedure is based on the Galerkin method, in which the entire slab is one finite-element, but with several shape functions for displacement, the weighting of each shape being selected by the program to minimize equilibrium errors. The program incorporates a modified arc-length procedure to achieve convergence beyond load peaks and snaps-back. The paper gives a brief outline of the method and programming. Some typical calculated load-deflection curves are presented and compared with experimental results. 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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