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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