A Minimal GBT Model for Distortional-Twist Elastic Analysis of Box-Girder Bridges

Author:

Pancella FrancescaORCID,Luongo AngeloORCID

Abstract

A simple and efficient method is proposed for the analysis of twist of rectangular box-girder bridges, which undergo distortion of the cross section. The model is developed in the framework of the Generalized Beam Theory and oriented towards semi-analytical solutions. Accordingly, only two modes are accounted for: (i) the torsional mode, in which the box-girder behaves as a Vlasov beam under nonuniform torsion, and, (ii) a distortional mode, in which the cross section behaves as a planar frame experiencing skew-symmetric displacements. By following a variational approach, two coupled, fourth-order differential equations in the modulating amplitudes are obtained. The order of magnitude of the different terms is analyzed, and further reduced models are proposed. A sample system, taken from the literature, is considered, for which generalized displacement and stress fields are evaluated. Both a Fourier solution for the coupled problem and a closed-form solution for the uncoupled problem are carried out, and the results are compared. Finally, the model is validated against finite element analyses.

Publisher

MDPI AG

Subject

Fluid Flow and Transfer Processes,Computer Science Applications,Process Chemistry and Technology,General Engineering,Instrumentation,General Materials Science

Reference37 articles.

1. Thin-Walled Elastic Beams;Vlasov,1961

2. BEF Analogy for Analysis of Box-Girders;Wright;J. Struct. Div. ASCE,1968

3. Il calcolo dei ponti a cassone unicellulare con pareti sottili;Petrangeli;Giornale del Genio Civile,1973

4. The effects of additional deformations in box-beam bridges on the longitudinal stresses and transverse moments

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