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ANALYSIS OF THIN-WALLED BEAM ON ELASTIC FOUNDATION
Abstract
The paper deals with an analysis of an endless thin-walled beam on an elastic subsoil. Winkler's subsoil model has been used for modeling the subsoil. The analysis is presented in an analytical form for beams of infinite length. The analytical solution includes the analysis of both bending and torsion of the beam. In the solution of the bending of the beam, the effects of shear forces have been taken into account. For torsion analysis, an open cross-section has been considered, including the effect of cross-sectional warping. At the end of the paper, the solution to the example of an endless beam of open U-shaped cross-section has been presented. The beam is loaded by an eccentrically acting linear continuous load. The figures show the deformations and internal forces in the analyzed beam. The analytical solution of the beam structure is compared with the solution using FEM. For modeling the structure using FEM, the quadrilateral shell finite elements with 6 degrees of freedom in a node have been used. The elastic subsoil is taken into account in the supplementary stiffness matrix, which is added to those stiffness matrices of the structure that are in contact with the subsoil. The last part presents the results of the analysis of the beam, which is modeled using FEM and loaded with an identical load. In the end, the achieved results have been evaluated.
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References4
Cajka R., Mynarcik P., Labudkova J., Numerical solution of soil-foundation interaction and comparison of results with experimental measurements. International Journal of GEOMATE, Vol. 11, pp 2116-2122, 2016.
Jendzelovsky N., Kontaktn? ?loha tenkostenn?ho pr?ta a pru?n?ho podlo?ia/Contact role of thin-walled beam and elastic foundation. In?en?rske stavby, Vol. 37 No.6, pp. 265-270, 1989 (in Slovak)
Koktan J., Cajka R., Brozovsky J., Finite Element Analysis of Foundation Slabs Using Numerical Integration of Boussinesq Solution. In Int. conference of numerical analysis and applied mathematics (ICNAAM 2017), vol. 1978, no., pp. ISSN 0094-243X, 2018.
Kotrasova K., Harabinova S., Hegedusova I., Kormanikova E., Panulinova, E. Numerical Experiment of Fluid Structure Soil Interaction. In Procedia Engineering, Vol. 190, pp. 291-295, 2017.
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Number of times cited according to Crossref: 1
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