Download this article
 Download this article For screen
For printing
Recent Issues

Volume 19
Issue 4, 541–572
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
 
Author index
To appear
 
Other MSP journals
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
Abstract

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.

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