Three-point bending of a beam with non-homogeneous structure in the depth direction

• Autorzy: Magnucki Krzysztof , Magnucka-Blandzi Ewa , Witkowski Dawid , Wittenbeck Leszek

Identyfikatory

DOI

10.24423/EngTrans.3107.20231128

• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

non-homogeneous beam; shear deformation theory; three-point bending

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2023
• Tom: Vol. 71, iss. 4
• Strony: 645--665
• Opis fizyczny: Bibliogr. 31 poz., rys., tab., wykr.

Twórcy

autor

Magnucki Krzysztof

• Łukasiewicz Research Network – Poznan Institute of Technology Rail Vehicles Center Poznan, Poland

autor

Magnucka-Blandzi Ewa

• Institute of Mathematics, Poznan University of Technology Poznan, Poland

autor

Witkowski Dawid

• Łukasiewicz Research Network – Poznan Institute of Technology Rail Vehicles Center Poznan, Poland

autor

Wittenbeck Leszek

• Institute of Mathematics, Poznan University of Technology Poznan, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).