Three-Point Bending of a Beam with Non-Homogeneous Structure in the Depth Direction
[ 1 ] Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] pracownik
[2.7] Inżynieria lądowa, geodezja i transport[2.9] Inżynieria mechaniczna
2023
artykuł naukowy
angielski
- non-homogeneous beam
- shear deformation theory
- three-point bending
EN This paper is devoted to the behavior of a non-homogeneous simply supported beam under three-point bending. The individual shear deformation function of a planar cross-section is adopted, and longitudinal displacements, strains, and stresses for two parts of the beam are explained. By applying the principle of stationary potential energy, a system of two differential equations of equilibrium is derived and solved analytically. The positions of the neutral axis, shear coefficients, and deflections are then calculated for three different beam families. Additionally, the bending problem of these beams is studied numerically using the finite element method (FEM). The results of both analytical and numerical calculations are presented in tables and figures. The main contribution of this paper lies in the development of an analytical model incorporating the individual shear deformation function and a numerical FEM model for this beam.
645 - 665
CC BY-SA (uznanie autorstwa - na tych samych warunkach)
otwarte czasopismo
ostateczna wersja opublikowana
publiczny
70