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Steel and Composite Structures
  Volume 32, Number 5, September10 2019 , pages 657-670
DOI: https://doi.org/10.12989/scs.2019.32.5.657
 


A fiber beam element model for elastic-plastic analysis of girders with shear lag effects
Wu-Tong Yan, Bing Han, Li Zhu, Yu-Ying Jiao and Hui-Bing Xie

 
Abstract
    This paper proposes a one-dimensional fiber beam element model taking account of materially non-linear behavior, benefiting the highly efficient elastic-plastic analysis of girders with shear-lag effects. Based on the displacement-based fiber beam-column element, two additional degrees of freedom (DOFs) are added into the proposed model to consider the shear-lag warping deformations of the slabs. The new finite element (FE) formulations of the tangent stiffness matrix and resisting force vector are deduced with the variational principle of the minimum potential energy. Then the proposed element is implemented in the OpenSees computational framework as a newly developed element, and the full Newton iteration method is adopted for an iterative solution. The typical materially non-linear behaviors, including the cracking and crushing of concrete, as well as the plasticity of the reinforcement and steel girder, are all considered in the model. The proposed model is applied to several test cases under elastic or plastic loading states and compared with the solutions of theoretical models, tests, and shell/solid refined FE models. The results of these comparisons indicate the accuracy and applicability of the proposed model for the analysis of both concrete box girders and steel-concrete composite girders, under either elastic or plastic states.
 
Key Words
    fiber beam element; shear lag; elastic-plastic analysis; steel-concrete composite girder
 
Address
(1) Wu-Tong Yan, Bing Han, Li Zhu, Yu-Ying Jiao, Hui-Bing Xie:
School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, P.R. China;
(2) Bing Han:
Key Laboratory of Safety and Risk Management on Transport Infrastructures, Ministry of Transport, PRC, Beijing 100044, P.R. China.
 

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