The Unified Solution for a Beam of Rectangular Cross-Section with Different Higher-Order Shear Deformation Models
Abstract The unified solution is studied for a beam of rectangular cross section. With the rotation defined in the average sense over the cross section, the kinematics with higher-order shear deformation models in axial displacement is first expressed in a unified form by using the fundamental highe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Marcílio Alves
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| Series: | Latin American Journal of Solids and Structures |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000901716&lng=en&tlng=en |
| _version_ | 1819081193942941696 |
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| author | T. C. Duan L. X. Li |
| author_facet | T. C. Duan L. X. Li |
| author_sort | T. C. Duan |
| collection | DOAJ |
| description | Abstract The unified solution is studied for a beam of rectangular cross section. With the rotation defined in the average sense over the cross section, the kinematics with higher-order shear deformation models in axial displacement is first expressed in a unified form by using the fundamental higher-order term with some properties. The shear correction factor is then derived and discussed for the four commonly used higher-order shear deformation models including the third-order model, the sine model, the hyperbolic sine model and the exponential model. The unified solution is finally obtained for a beam subjected to an arbitrarily distributed load. The relation with that from the conventional beam theory is established, and therefore the difference is reasonably explained. A very good agreement with the elasticity theory validates the present solution. |
| first_indexed | 2024-12-21T19:56:54Z |
| format | Article |
| id | doaj.art-b1f5b1697a6f4e26836cb92f0979d298 |
| institution | Directory Open Access Journal |
| issn | 1679-7825 |
| language | English |
| last_indexed | 2024-12-21T19:56:54Z |
| publisher | Marcílio Alves |
| record_format | Article |
| series | Latin American Journal of Solids and Structures |
| spelling | doaj.art-b1f5b1697a6f4e26836cb92f0979d2982022-12-21T18:52:04ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-78251391716173710.1590/1679-78252732S1679-78252016000901716The Unified Solution for a Beam of Rectangular Cross-Section with Different Higher-Order Shear Deformation ModelsT. C. DuanL. X. LiAbstract The unified solution is studied for a beam of rectangular cross section. With the rotation defined in the average sense over the cross section, the kinematics with higher-order shear deformation models in axial displacement is first expressed in a unified form by using the fundamental higher-order term with some properties. The shear correction factor is then derived and discussed for the four commonly used higher-order shear deformation models including the third-order model, the sine model, the hyperbolic sine model and the exponential model. The unified solution is finally obtained for a beam subjected to an arbitrarily distributed load. The relation with that from the conventional beam theory is established, and therefore the difference is reasonably explained. A very good agreement with the elasticity theory validates the present solution.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000901716&lng=en&tlng=enFundamental higher-order termUnified higher-order shear deformation modelShear correction factorUnified solutionConventional beam theory |
| spellingShingle | T. C. Duan L. X. Li The Unified Solution for a Beam of Rectangular Cross-Section with Different Higher-Order Shear Deformation Models Latin American Journal of Solids and Structures Fundamental higher-order term Unified higher-order shear deformation model Shear correction factor Unified solution Conventional beam theory |
| title | The Unified Solution for a Beam of Rectangular Cross-Section with Different Higher-Order Shear Deformation Models |
| title_full | The Unified Solution for a Beam of Rectangular Cross-Section with Different Higher-Order Shear Deformation Models |
| title_fullStr | The Unified Solution for a Beam of Rectangular Cross-Section with Different Higher-Order Shear Deformation Models |
| title_full_unstemmed | The Unified Solution for a Beam of Rectangular Cross-Section with Different Higher-Order Shear Deformation Models |
| title_short | The Unified Solution for a Beam of Rectangular Cross-Section with Different Higher-Order Shear Deformation Models |
| title_sort | unified solution for a beam of rectangular cross section with different higher order shear deformation models |
| topic | Fundamental higher-order term Unified higher-order shear deformation model Shear correction factor Unified solution Conventional beam theory |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000901716&lng=en&tlng=en |
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