Techno Press
Techno Press

Structural Engineering and Mechanics
  Volume 33, Number 3, October20 2009 , pages 307-323
DOI: https://doi.org/10.12989/sem.2009.33.3.307
 

Structural matrices of a curved-beam element
F.N. Gimena, P. Gonzaga and L. Gimena

 
Abstract
    This article presents the differential system that governs the mechanical behaviour of a curved-beam element, with varying cross-section area, subjected to generalized load. This system is solved by an exact procedure or by the application of a new numerical recurrence scheme relating the internal forces and displacements at the two end-points of an increase in its centroid-line. This solution has a transfer matrix structure. Both the stiffness matrix and the equivalent load vector are obtained arranging the transfer matrix. New structural matrices have been defined, which permit to determine directly the unknown values of internal forces and displacements at the two supported ends of the curved-beam element. Examples are included for verification.
 
Key Words
    curved beam; differential system; transfer matrix; stiffness matrix; numerical method.
 
Address
F.N. Gimena, P. Gonzaga and L. Gimena: Dept. of Projects Engineering, Campus Arrosadia C.P. 31006, University Public of Navarre, Pamplona, Navarra, Spain
 
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