An analytical solution for static problems of curved composite beams
An analytical solution is presented for the determination of deformation of curved composite beams. Each cross-section is assumed to be symmetrical and the applied loads are acted in the plane of symmetry of curved beam. In-plane deformations are considered of composite curved beams. Assumed form of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-01-01
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| Series: | Curved and Layered Structures |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/cls.2019.6.issue-1/cls-2019-0009/cls-2019-0009.xml?format=INT |
| _version_ | 1828856319068602368 |
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| author | Ecsedi István Lengyel Ákos József |
| author_facet | Ecsedi István Lengyel Ákos József |
| author_sort | Ecsedi István |
| collection | DOAJ |
| description | An analytical solution is presented for the determination of deformation of curved composite beams. Each cross-section is assumed to be symmetrical and the applied loads are acted in the plane of symmetry of curved beam. In-plane deformations are considered of composite curved beams. Assumed form of the displacement field assures the fulfillment of the classical Bernoulli-Euler beam theory. The curvature of beam is constant and the internal forces in a cross-section is replaced by an equivalent forcecouple system at the origin of the cylindrical coordinate system used. The internal forces are expressed in terms of two kinematical variables, which are the radial displacement and the rotation of the cross-sections. The determination of the analytical solutions of the considered static problems are based on the fundamental solutions. Linear combination of the fundamental solutions which are filling to the given loading and boundary conditions, gives the total solution. Closed form formulae are derived for the radial displacement, cross-sectional rotation, nomral and shear forces and bending moments. The circumferential and radial normal stresses and shear stresses are obtained by the integration of equilibrium equations. Examples illustrate the developed method. |
| first_indexed | 2024-12-13T01:13:21Z |
| format | Article |
| id | doaj.art-f2bf090f3e444d448ee9f7d521f3cfb8 |
| institution | Directory Open Access Journal |
| issn | 2353-7396 |
| language | English |
| last_indexed | 2024-12-13T01:13:21Z |
| publishDate | 2019-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Curved and Layered Structures |
| spelling | doaj.art-f2bf090f3e444d448ee9f7d521f3cfb82022-12-22T00:04:24ZengDe GruyterCurved and Layered Structures2353-73962019-01-016110511610.1515/cls-2019-0009cls-2019-0009An analytical solution for static problems of curved composite beamsEcsedi István0Lengyel Ákos József1Institute of Applied Mechanics, University of Miskolc, Miskolc-Egyetemváros, H-3515 Miskolc, HungaryInstitute of Applied Mechanics, University of Miskolc, Miskolc-Egyetemváros, H-3515 Miskolc, HungaryAn analytical solution is presented for the determination of deformation of curved composite beams. Each cross-section is assumed to be symmetrical and the applied loads are acted in the plane of symmetry of curved beam. In-plane deformations are considered of composite curved beams. Assumed form of the displacement field assures the fulfillment of the classical Bernoulli-Euler beam theory. The curvature of beam is constant and the internal forces in a cross-section is replaced by an equivalent forcecouple system at the origin of the cylindrical coordinate system used. The internal forces are expressed in terms of two kinematical variables, which are the radial displacement and the rotation of the cross-sections. The determination of the analytical solutions of the considered static problems are based on the fundamental solutions. Linear combination of the fundamental solutions which are filling to the given loading and boundary conditions, gives the total solution. Closed form formulae are derived for the radial displacement, cross-sectional rotation, nomral and shear forces and bending moments. The circumferential and radial normal stresses and shear stresses are obtained by the integration of equilibrium equations. Examples illustrate the developed method.http://www.degruyter.com/view/j/cls.2019.6.issue-1/cls-2019-0009/cls-2019-0009.xml?format=INTanalytical solutioncurved composite beamin-plane deformationfundamental solution |
| spellingShingle | Ecsedi István Lengyel Ákos József An analytical solution for static problems of curved composite beams Curved and Layered Structures analytical solution curved composite beam in-plane deformation fundamental solution |
| title | An analytical solution for static problems of curved composite beams |
| title_full | An analytical solution for static problems of curved composite beams |
| title_fullStr | An analytical solution for static problems of curved composite beams |
| title_full_unstemmed | An analytical solution for static problems of curved composite beams |
| title_short | An analytical solution for static problems of curved composite beams |
| title_sort | analytical solution for static problems of curved composite beams |
| topic | analytical solution curved composite beam in-plane deformation fundamental solution |
| url | http://www.degruyter.com/view/j/cls.2019.6.issue-1/cls-2019-0009/cls-2019-0009.xml?format=INT |
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