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Three-point bending of beams with consideration of the shear effect

  • Magnucki, Krzysztof (Lukasiewicz Research Network - Institute of Rail Vehicles TABOR) ;
  • Paczos, Piotr (Poznan University of Technology) ;
  • Wichniarek, Radosław (Poznan University of Technology)
  • Received : 2020.05.05
  • Accepted : 2020.12.03
  • Published : 2020.12.25

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.

Keywords

Acknowledgement

The research was conducted within the framework of Scientific Activities of Łukasiewicz Research Network - Institute of Rail Vehicles and the framework of Statutory Activities of Poznan University of Technology. The raw data required to reproduce these findings are available to download from Mendeley Data - Data for: Three-point bending of beams with bisymmetrical cross sections with consideration of the shear effect - Analytical and experimental studies.

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