Finite-Element Method of Analysis for Plane Curved Girders
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1971-06-01
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Abstract:A method for analyzing plane, curved girders is presented. The continuous girder is replaced by an assemblage of straight, prismatic elements which are chords of the original curve. Each straight element is considered as a grid type member. The entire assemblage is treated as a special case of a grid structure. Conventional matrix methods of structural analysis are used to derive the equilibrium equations and a direct recursion-inversion solution procedure is utilized. Flexural properties, loads and restraints are allowed to vary at will along the girder. A computer program which applies the analytical procedure is described. Output information provided by the program includes all displacements of each station, the shear in each element and the bending and torsion moments about normal and tangential directions, respectively. Results obtained with the program are compared with other analytical procedures and with experimental data.
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