2019-12-11T04:51:27Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:41148
2016-06-14T06:33:17Z
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Application of the Boundary Method to the determination of the properties of the beam cross-sections
Samartín, Avelino
Moreno González, Carlos
Tabuenca Perchin, Pedro
Civil Engineering and Construction
Mechanics
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.
E.T.S.I. Caminos, Canales y Puertos (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2000
info:eu-repo/semantics/conferenceObject
Presentation at Congress or Conference
IASS-IACM 2000 : proceedings of the Fourth International Colloquium on Computation of Shell & Spatial Structures | IASS-IACM 2000 | 4-7 de Junio, 2000 | La Canea, Creta (Grecia)
PeerReviewed
application/pdf
eng
info:eu-repo/semantics/openAccess
http://oa.upm.es/41148/