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A modified analysis method of mechanical properties of trapezoidal composite box girders

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Abstract

In research on the vertical bending mechanical properties of trapezoidal box girders with corrugated steel webs, the maximum angular rotation attributable to the in-plane shear deformation of flanges is traditionally considered as the generalized displacement function. However, this analysis method is very complex and the mechanical concepts are not well-understood. To address this, the presented work adopts the additional deflection induced by the shear lag effect as the generalized displacement function. Furthermore, the accordion effect, shear lag, shear deformation, and the self-equilibrium conditions of the shear lag warping stress and bending moment are considered comprehensively. The differential equations and the corresponding natural boundary conditions of the composite box girders in the elastic range are established using the energy variational method. Further, the closed-form solutions of the generalized displacements are obtained. The results of the analysis method presented, a modification of the traditional shear lag theory algorithm, had high agreement with finite element simulation results. In comparison to the traditional analysis theories, the accuracy of this modified method was improved. Thus, the method presented provides a strong basis for understanding the mechanical properties of composite box girders.

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Data availability

The data on the mechanical properties of composite trapezoidal box girder used to support the findings of this study are included within the article.

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Acknowledgements

The authors would like to gratefully acknowledge the financial support from the Key Science and Technology Foundation of Gansu Province (Grant No.19ZD2GA002).

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Authors and Affiliations

  1. College of Civil Engineering, Hefei University of Technology, Hefei, 230009, People’s Republic of China

    Zi-yu Gan

  2. Department of Civil Engineering, Nanjing University of Aeronautics and Astronautics, 29 Jiangjun Road, Nanjing, 211106, People’s Republic of China

    Feng Cen & Pei-wei Gao

  3. School of Civil Engineering, Yancheng Institute of Technology, Yancheng, 224051, People’s Republic of China

    Ya-nan Gan

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  1. Zi-yu Gan
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  2. Feng Cen
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Contributions

Zi-yu GAN conceived the study and was responsible for the design and development of the data analysis. Feng CEN and Ya-nan GAN were responsible for data collection and analysis. Pei-wei GAO was responsible for data interpretation. Zi-yu GAN wrote the main manuscript text. All authors reviewed the manuscript.

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Correspondence to Feng Cen.

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Gan, Zy., Cen, F., Gao, Pw. et al. A modified analysis method of mechanical properties of trapezoidal composite box girders. Arch Appl Mech 94, 973–988 (2024). https://doi.org/10.1007/s00419-024-02560-2

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  • DOI: https://doi.org/10.1007/s00419-024-02560-2

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