Non-linear analysis of a reinforced concrete sheet cover (umbrella) of 40 m diameter by the finite element method

摘要

The aim of this work is to determine the distribution of strains and stresses throughout a sheet cover known as "umbrella" due to the dead and alive loads taking into account large displacements by the finite element method (FEM) [K. Bathe, Finite Element Procedures, Prentice-Hall, Englewood Cliffs, New York, 1996; T. Belytschko, W.K. Liu, B. Moran, Nonlinear Finite Elements for Continua and Structures, John Wiley & Sons, New York, 2000; T. Chandrupatla, A. Belegundu, Introduction to Finite Elements in Engineering, Prentice-Hall, Englewood Cliffs, New Jersey, 1991; P.G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland Publishing Company, Amsterdam, 1978; C. Johnson, Numerical Solution of Partial Differential Equations by the Finite Element Method, Cambridge University Press, New York, 1987; S. Moaveny, Finite Element Analysis: Theory and Application with ANSYS, Prentice-Hall, Upper Saddle River, New Jersey, 1999; P.A. Raviart, J.M. Thomas, Introduction A I'analyse numerique des equations aux derivees partielles, Masson, Paris, 1983; J.N. Reddy, An Introduction to Nonlinear Finite Element Analysis, Oxford University Press, New York, 2004; O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method: Solid and Fluid Mechanics and Non-linearity, McGraw-Hill Book Company, London, 1991]. The non-linearity is due to large displacements that governs the phenomenon. Finally we compare the analytical calculations with the FEM results and expose the conclusions reached in this study. (c) 2006 Elsevier Inc. All rights reserved.