Open AccessDeformation of a cantilever curved beam with variable cross section
Author(s) -
István Escedi,
Attila Baksa
Publication year - 2021
Publication title -
journal of computational and applied mechanics
Language(s) - English
Resource type - Journals
eISSN - 2732-0189
pISSN - 1586-2070
DOI - 10.32973/jcam.2021.002
Subject(s) - cantilever , beam (structure) , cross section (physics) , deformation (meteorology) , rotation (mathematics) , structural engineering , kinematics , neutral axis , moment (physics) , geometry , physics , materials science , mechanics , classical mechanics , mathematics , engineering , composite material , quantum mechanics
This paper deals with the determination of the displacements and stresses in a curved cantilever beam. The considered curved beam has circular centerline and the thickness of its cross section depends on the circumferential coordinate. The kinematics of Euler-Bernoulli beam theory are used. The curved elastic beam is fixed at one end and on the other end is subjected to concentrated moment and force; three different loading cases are considered. The paper gives analytical solutions for radial and circumferential displacements and cross-sectional rotation and circumferential stresses. The presented examples can be used as benchmark for the other types of solutions as given in this paper.