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Structural Engineering and Mechanics Volume 64, Number 2, October25 2017 , pages 205-212 DOI: https://doi.org/10.12989/sem.2017.64.2.205 |
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A general solution to structural performance of pre-twisted Euler beam subject to static load |
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Ying Huang, Chang Hong Chen, Leon M. Keer and Yao Yao
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| Abstract | ||
| Based on the coupled elastic bending deformation features and relationships between the internal force and deformation of pre-twisted Euler beam, the generalized strain, the equivalent constitutive equation and the equilibrium equation of pre-twisted Euler beam are developed. Based on the properties of the dual-antisymmetric matrix, the general solution of pretwisted Euler beam is obtained. By comparison with ANSYS solution by using straight Beam-188 element based on infinite approach strategy, the results show that the developed method is available for pre-twisted Euler beam and also provide an accuracy displacement interpolation function for the subsequent finite element analysis. The effect of pre-twisted angle on the mechanical property has been investigated. | ||
| Key Words | ||
| pre-twisted beam; coupled displacement; generalized strain; general solution | ||
| Address | ||
| Ying Huang: School of Civil Engineering, Xi\'an, 710055, China Chang Hong Chen: School of Mechanics and Civil Engineering, Northwestern Polytechnical University, Xi\'an, 710129, China Leon M. Keer: Civil and Environmental Engineering, Northwestern University, Evanston, IL, 60286, USA Yao Yao: School of Mechanics and Civil Engineering, Northwestern Polytechnical University, Xi\'an, 710129, China | ||