Pure bending of curved beam with non-uniform cross section

Ákos Lengyel; István Ecsedi; Attila Baksa; Dávid Gönczi

doi:10.35925/j.multi.2023.3.2

Authors

Ákos Lengyel University of Miskolc
István Ecsedi University of Miskolc http://orcid.org/0000-0001-7444-5801
Attila Baksa University of Miskolc http://orcid.org/0000-0003-2727-2498
Dávid Gönczi University of Miskolc

DOI:

https://doi.org/10.35925/j.multi.2023.3.2

Keywords:

curved beam, non-homogeneous, pure bending, nun-uniform, normal stresses, radial displacement

Abstract

The purpose of this paper is to study the state of stress and displacement field of a curved beam with non-uniform cross section. The material of the beam is non-homogeneous isotropic linearly elastic. The curved beam is subjected to couple moment at the ends of geometry. Utilizing analytical closed form solutions are obtained for the radial and circumferential stresses and for the displacements and cross sectional rotation. A numerical example illustrates the applications of the derived formulae.

Pure bending of curved beam with non-uniform cross section

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