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| Torsional shear correction factors for 3D curved beam elements |
| Received:January 12, 2020 Revised:August 16, 2020 |
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| DOI：10.7511/jslx20200112002 |
| KeyWord:finite element analysis elasticity theory curved beam structure 3D curved beam element torsional shear stress torsional stiffness |
| Author | Institution |
| 宋泰宇 |
同济大学建筑设计研究院集团有限公司, 上海 ;同济大学 土木工程学院, 上海 |
| 李国平 |
同济大学 土木工程学院, 上海 |
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| Abstract: |
| Using a 3D curved beam element is an accurate and efficient numerical method to model curved beam structures,because this type of elements take the coupling effect of bending and torsion into account and in accordance with the actual geometrical and structural characteristics of curved beam structures.As a result of the plain section assumption adopted by the classic beam theory,the torsional shear stresses calculated by a 3D curved beam element model have a different sectional distribution from the actual torsional shear stresses in curved beams,leading to an incorrect torsional stiffness and torsional deformation of curved beams.Based on the principle of shear energy equivalence,the correction factors of torsional stiffness (η) and torsional shear (λ) for rectangular cross-section 3D curved beam elements are derived out.The validity of the proposed correction factors is illustrated with a curved cantilever beam example.The results indicate that the torsional deformations calculated by the 3D curved beam element model with the proposed correction factors with those from solid element models.The results also reveal that the torsional shear correction factor equals to the transverse shear correction factor (1.2) only in the case when the beam cross-section is square. |