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Deformations and internal forces in arches under a concentrated force

László Péter Kiss, Pusta Jalalova and Ziya Mehdiyev

Vol. 18 (2023), No. 4, 551–565

The current work intends to establish a new geometrically nonlinear model to find the typical fields (displacements, inner forces) in circular shallow arches under the action of a central concentrated load. Nonlinearities are taken into account through the rotations. The primary unknown is the displacement field. The principle of virtual work is used to find the static equilibrium equations. The analytical model is capable of dealing with not only homogeneous but also with nonhomogeneous material distributions as long as the constitutive model is linearly elastic and isotropic. Comparisons with the linearized model are also performed to reveal the differences.

arch, stress, displacement, elasticity
Received: 29 March 2022
Revised: 15 February 2023
Accepted: 14 April 2023
Published: 11 June 2023
László Péter Kiss
Institute of Applied Mechanics
University of Miskolc
Pusta Jalalova
Institute of Material Science and Technology
University of Miskolc
Ziya Mehdiyev
Institute of Manufacturing Science
University of Miskolc