Bending of beams with consideration of a seventh-order shear deformation theory

• Autorzy: Magnucki Krzysztof , Stawecki Włodzimierz , Magnucka-Blandzi Ewa

Identyfikatory

DOI

EngTrans.1129.20200214

• Języki publikacji: EN

Abstrakty

EN

The subject of the paper is a simply-supported prismatic beam with bisymmetrical crosssections under non-uniformly distributed load. The shapes of the cross-sections and the nonuniformly distributed load are described analytically. The individual seventh-order shear deformation theory-hypothesis of the planar beam cross-sections is assumed. Based on the principle of stationary potential energy two differential equations of equilibrium are obtained. The system of the equations is analytically solved, and the shear and deflection coefficients of the beam are derived. Moreover, the shear stress patterns for selected cross-sections are determined and compared with stresses determined by Zhuravsky’s formula. The results of example calculations are presented in tables and figures.

Słowa kluczowe

EN

nonlinear hypothesis; shear deformation theory; shear stresses

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2020
• Tom: Vol. 68, iss. 2
• Strony: 119--135
• Opis fizyczny: Bibliogr. 19 poz., rys., tab., wykr.

Twórcy

autor

Magnucki Krzysztof

• Łukasiewicz Research Network – Institute of Rail Vehicles “TABOR” Warszawska 181, 61-055 Poznan, Poland

autor

Stawecki Włodzimierz

• Łukasiewicz Research Network – Institute of Rail Vehicles “TABOR” Warszawska 181, 61-055 Poznan, Poland

autor

Magnucka-Blandzi Ewa

• Institute of Mathematics, Poznan University of Technology Piotrowo 3A, 60-965 Poznan, Poland

Bibliografia

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• 16. Magnucki K., Witkowski D., Lewinski J., Bending and free vibrations of porous beams with symmetrically varying mechanical properties – Shear effect, Mechanics of Advanced Materials and Structures, 27(4): 325–332, 2020, doi: 10.1080/15376494.2018.1472350.
• 17. Magnucki K, Lewinski J., Analytical modeling of I-beam as a sandwich structure, Engineering Transactions, 66(4): 357–373, 2018, doi: 10.24423/EngTrans.898.20180809.
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• 19. Magnucki K., Lewinski J., Cichy R., Bending of beams with bisymmetrical cross sections under non-uniformly distributed load – Analytical and numerical-FEM studies, Archive of Applied Mechanics, 89(10): 2103–2114, 2019, doi: 10.1007/s00419-019-01566-5.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).