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Steel and Composite Structures Volume 37, Number 6, December25 2020 , pages 733-740 DOI: https://doi.org/10.12989/scs.2020.37.6.733 |
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Three-point bending of beams with consideration of the shear effect |
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Krzysztof Magnucki, Piotr Paczos and Radostaw Wichniarek
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| Abstract | ||
| The subject of the paper pertains to simply supported beams with bisymmetrical cross sections under three-point bending with consideration of the shear effect. The deformation of a planar cross section of the beam is described taking into account the assumed nonlinear hypothesis-theory. Two differential equations of equilibrium are obtained based on the principle of stationary potential energy. This system is analytically solved and the shear coefficients and deflections of the beams are derived. Moreover, the Young's modules of the materials and deflections of the beams are experimentally determined on a test stand. The results of the studies are specified in tables and compared. | ||
| Key Words | ||
| mechanical properties; analytical modelling; mechanical testing; nonlinear hypothesis-theory | ||
| Address | ||
| Krzysztof Magnucki:Lukasiewicz Research Network – Institute of Rail Vehicles TABOR, ul. Warszawska 181, 61-055 Poznan, Poland Piotr Paczos and Radostaw Wichniarek: Poznan University of Technology, ul. Piotrowo 3, 60-965 Poznan, Poland | ||