Abstract
The formulation of a finite element model for a thin curved beam which is described by the Winkler beam model is presented. A review and discussion of the literature that pertains to this type of element is included with special attention being paid to the need to be able to recover incremental rigid body motions. Three different C 1 trigonometric trial functions that allow the recovery of incremental rigid body motions are investigated. The attributes and deficiencies of the various elements are examined and discussed via several problems which have been designed to evaluate the performance of the element. The 4 U4 W element is shown to be the best choice of those elements considered here.
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