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Structural Engineering and Mechanics
  Volume 64, Number 2, October25 2017, pages 205-212
DOI: http://dx.doi.org/10.12989/sem.2017.64.2.205
 


A general solution to structural performance of pre-twisted Euler beam subject to static load
Ying Huang, Chang Hong Chen, Leon M. Keer and Yao Yao

 
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
 

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