Application of the Boundary Method to the determination of the properties of the beam cross-sections

Samartín, Avelino and Moreno González, Carlos and Tabuenca Perchin, Pedro (2000). Application of the Boundary Method to the determination of the properties of the beam cross-sections. In: "IASS-IACM 2000", 4-7 de Junio, 2000, La Canea, Creta (Grecia). pp. 1-21.

Description

Title: Application of the Boundary Method to the determination of the properties of the beam cross-sections
Author/s:
  • Samartín, Avelino
  • Moreno González, Carlos
  • Tabuenca Perchin, Pedro
Item Type: Presentation at Congress or Conference (Article)
Event Title: IASS-IACM 2000
Event Dates: 4-7 de Junio, 2000
Event Location: La Canea, Creta (Grecia)
Title of Book: IASS-IACM 2000 : proceedings of the Fourth International Colloquium on Computation of Shell & Spatial Structures
Date: 2000
Subjects:
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Mecánica de Medios Continuos y Teoría de Estructuras
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Using the 3-D equations of linear elasticity and the asylllptotic expansion methods in terms of powers of the beam cross-section area as small parameter different beam theories can be obtained, according to the last term kept in the expansion. If it is used only the first two terms of the asymptotic expansion the classical beam theories can be recovered without resort to any "a priori" additional hypotheses. Moreover, some small corrections and extensions of the classical beam theories can be found and also there exists the possibility to use the asymptotic general beam theory as a basis procedure for a straightforward derivation of the stiffness matrix and the equivalent nodal forces of the beam. In order to obtain the above results a set of functions and constants only dependent on the cross-section of the beam it has to be computed them as solutions of different 2-D laplacian boundary value problems over the beam cross section domain. In this paper two main numerical procedures to solve these boundary value pf'oblems have been discussed, namely the Boundary Element Method (BEM) and the Finite Element Method (FEM). Results for some regular and geometrically simple cross-sections are presented and compared with ones computed analytically. Extensions to other arbitrary cross-sections are illustrated.

More information

Item ID: 41148
DC Identifier: http://oa.upm.es/41148/
OAI Identifier: oai:oa.upm.es:41148
Deposited by: Biblioteca ETSI Caminos
Deposited on: 14 Jun 2016 06:33
Last Modified: 14 Jun 2016 06:33
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