Stability of pinned-rotationally restrained arches
The article aims to find the buckling loads for pinned–rotationally restrained shallow circular arches in terms of the rotational end stiffness, geometry and material distribution. The loading is a concentrated vertical force placed at the crown. A geometrically nonlinear model is presented which re...
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| Format: | Article |
| Language: | English |
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Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2021-01-01
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| Series: | Theoretical and Applied Mechanics |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2021/1450-55842000010K.pdf |
| _version_ | 1819098527042633728 |
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| author | Kiss László Péter |
| author_facet | Kiss László Péter |
| author_sort | Kiss László Péter |
| collection | DOAJ |
| description | The article aims to find the buckling loads for pinned–rotationally restrained shallow circular arches in terms of the rotational end stiffness, geometry and material distribution. The loading is a concentrated vertical force placed at the crown. A geometrically nonlinear model is presented which relates not only the axial force but also the bending moment to the membrane strain. The nonlinear load-strain relationship is established between the strain and load parameters. This equation is then solved and evaluated analytically. It turns out that the stiffness of the end-restraint has, in general, a significant effect on the lowest buckling load. At the same time, some geometries are not affected by this. As the stiffness becomes zero, the arch is pinned-pinned and as the stiffness tends to infinity, the arch behaves as if it were pinned-fixed and has the best load-bearing abilities. |
| first_indexed | 2024-12-22T00:32:24Z |
| format | Article |
| id | doaj.art-bd14e0a9fc9a457bbba3a05fa934be0f |
| institution | Directory Open Access Journal |
| issn | 1450-5584 2406-0925 |
| language | English |
| last_indexed | 2024-12-22T00:32:24Z |
| publishDate | 2021-01-01 |
| publisher | Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
| record_format | Article |
| series | Theoretical and Applied Mechanics |
| spelling | doaj.art-bd14e0a9fc9a457bbba3a05fa934be0f2022-12-21T18:44:55ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842406-09252021-01-01481395110.2298/TAM200402010K1450-55842000010KStability of pinned-rotationally restrained archesKiss László Péter0Institute of Applied Mechanics, University of Miskolc, Miskolc-Egyetemváros, HungaryThe article aims to find the buckling loads for pinned–rotationally restrained shallow circular arches in terms of the rotational end stiffness, geometry and material distribution. The loading is a concentrated vertical force placed at the crown. A geometrically nonlinear model is presented which relates not only the axial force but also the bending moment to the membrane strain. The nonlinear load-strain relationship is established between the strain and load parameters. This equation is then solved and evaluated analytically. It turns out that the stiffness of the end-restraint has, in general, a significant effect on the lowest buckling load. At the same time, some geometries are not affected by this. As the stiffness becomes zero, the arch is pinned-pinned and as the stiffness tends to infinity, the arch behaves as if it were pinned-fixed and has the best load-bearing abilities.http://www.doiserbia.nb.rs/img/doi/1450-5584/2021/1450-55842000010K.pdfarchbucklingstiffnesssnap-through |
| spellingShingle | Kiss László Péter Stability of pinned-rotationally restrained arches Theoretical and Applied Mechanics arch buckling stiffness snap-through |
| title | Stability of pinned-rotationally restrained arches |
| title_full | Stability of pinned-rotationally restrained arches |
| title_fullStr | Stability of pinned-rotationally restrained arches |
| title_full_unstemmed | Stability of pinned-rotationally restrained arches |
| title_short | Stability of pinned-rotationally restrained arches |
| title_sort | stability of pinned rotationally restrained arches |
| topic | arch buckling stiffness snap-through |
| url | http://www.doiserbia.nb.rs/img/doi/1450-5584/2021/1450-55842000010K.pdf |
| work_keys_str_mv | AT kisslaszlopeter stabilityofpinnedrotationallyrestrainedarches |