In-Plane Instability of Parabolic Arches under Uniformly Distributed Vertical Load Coupled with Temperature Gradient Field
In civil engineering, arches, such as steel arch roofs and arch bridges, are often subjected to linear temperature gradient field. It is known that the in-plane instability of parabolic arches is caused by the significant axial force. The arch under the linear temperature gradient field produces com...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2022/8973013 |
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| _version_ | 1832567018652434432 |
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| author | Zhenyu Pan Deyuan Deng Changsheng Feng Hanwen Lu Zhou Chen Jinman Zhou Angfeng Jiang |
| author_facet | Zhenyu Pan Deyuan Deng Changsheng Feng Hanwen Lu Zhou Chen Jinman Zhou Angfeng Jiang |
| author_sort | Zhenyu Pan |
| collection | DOAJ |
| description | In civil engineering, arches, such as steel arch roofs and arch bridges, are often subjected to linear temperature gradient field. It is known that the in-plane instability of parabolic arches is caused by the significant axial force. The arch under the linear temperature gradient field produces complex axial force, and so the instability of arches would be affected by temperature gradient field significantly. However, the analytical solutions of in-plane instability of parabolic arches being subjected to the uniformly distributed vertical load and the temperature gradient field are not solved in the opening literature. In this paper, in-plane instability of a fixed steel parabolic arch under linear temperature gradient field and vertical uniform load is analyzed theoretically. Firstly, the cross-sectional effective centroid and effective stiffness of the cross section for arches under the linear temperature gradient field are derived. Secondly, the preinstability internal force analysis of the parabolic arch under the linear temperature gradient field and the vertical uniform load is carried out based on the force methods. Novel theoretical solutions for in-plane instability load for fixed steel parabolic arches under the linear temperature gradient field and the vertical uniform load are obtained. It is found that the gradient temperature, slenderness, and rise-span ratio have important influences on the critical in-plane instability load of the shallow parabolic arch, while there is no significant effect on the deep parabolic arch. |
| format | Article |
| id | doaj-art-04fc91e6da4346de836f11354dafdccb |
| institution | Kabale University |
| issn | 1687-8094 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-04fc91e6da4346de836f11354dafdccb2025-02-03T01:02:29ZengWileyAdvances in Civil Engineering1687-80942022-01-01202210.1155/2022/8973013In-Plane Instability of Parabolic Arches under Uniformly Distributed Vertical Load Coupled with Temperature Gradient FieldZhenyu Pan0Deyuan Deng1Changsheng Feng2Hanwen Lu3Zhou Chen4Jinman Zhou5Angfeng Jiang6School of Transportation and Civil Engineering & ArchitectureChina Construction Steel Engineering Co., LtdChina Construction Steel Engineering Co., LtdSchool of Transportation and Civil Engineering & ArchitectureSchool of Transportation and Civil Engineering & ArchitectureSchool of Transportation and Civil Engineering & ArchitectureSchool of Transportation and Civil Engineering & ArchitectureIn civil engineering, arches, such as steel arch roofs and arch bridges, are often subjected to linear temperature gradient field. It is known that the in-plane instability of parabolic arches is caused by the significant axial force. The arch under the linear temperature gradient field produces complex axial force, and so the instability of arches would be affected by temperature gradient field significantly. However, the analytical solutions of in-plane instability of parabolic arches being subjected to the uniformly distributed vertical load and the temperature gradient field are not solved in the opening literature. In this paper, in-plane instability of a fixed steel parabolic arch under linear temperature gradient field and vertical uniform load is analyzed theoretically. Firstly, the cross-sectional effective centroid and effective stiffness of the cross section for arches under the linear temperature gradient field are derived. Secondly, the preinstability internal force analysis of the parabolic arch under the linear temperature gradient field and the vertical uniform load is carried out based on the force methods. Novel theoretical solutions for in-plane instability load for fixed steel parabolic arches under the linear temperature gradient field and the vertical uniform load are obtained. It is found that the gradient temperature, slenderness, and rise-span ratio have important influences on the critical in-plane instability load of the shallow parabolic arch, while there is no significant effect on the deep parabolic arch.http://dx.doi.org/10.1155/2022/8973013 |
| spellingShingle | Zhenyu Pan Deyuan Deng Changsheng Feng Hanwen Lu Zhou Chen Jinman Zhou Angfeng Jiang In-Plane Instability of Parabolic Arches under Uniformly Distributed Vertical Load Coupled with Temperature Gradient Field Advances in Civil Engineering |
| title | In-Plane Instability of Parabolic Arches under Uniformly Distributed Vertical Load Coupled with Temperature Gradient Field |
| title_full | In-Plane Instability of Parabolic Arches under Uniformly Distributed Vertical Load Coupled with Temperature Gradient Field |
| title_fullStr | In-Plane Instability of Parabolic Arches under Uniformly Distributed Vertical Load Coupled with Temperature Gradient Field |
| title_full_unstemmed | In-Plane Instability of Parabolic Arches under Uniformly Distributed Vertical Load Coupled with Temperature Gradient Field |
| title_short | In-Plane Instability of Parabolic Arches under Uniformly Distributed Vertical Load Coupled with Temperature Gradient Field |
| title_sort | in plane instability of parabolic arches under uniformly distributed vertical load coupled with temperature gradient field |
| url | http://dx.doi.org/10.1155/2022/8973013 |
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