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Catenary Equation-Based Approach for Force Finding of Cable Domes

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Abstract

Cable forces along the cable length direction vary with deadweight. An invariant that is horizontal component force along the cable length, is introduced to characterize prestress distribution of cable domes. A new approach named catenary equation-based component force balancing method, is proposed for force finding. In the method, the relationship between the form and the horizontal component force of the cable is determined according to catenary equation of the cable. Based on the horizontal component force of one cable, the horizontal component forces of other cables can be solved from the nodal equilibrium relationship. Take the Geiger cable dome as an example, the results of force finding show that the proposed method has clear mechanical concept, high calculation accuracy and simple solving process. Thus, it can provide a new general idea for force finding of cable domes. In addition, the difference of the results of force finding is large between with deadweight considered and with deadweight ignored. Therefore, deadweight should be considered during the prestress design of cable domes.

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Acknowledgements

The authors express their gratitude to the Opening Project of State Key Laboratory of Subtropical Building Science, South China University of Technology, China (Grant No. 2012KB31) and the Science and Technology Program of Guangzhou, China (Grant No. 1563000257).

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Authors and Affiliations

  1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, 510640, China

    Zhengrong Jiang, **aowei Liu, Kairong Shi, Quanpan Lin & Zijian Zhang

  2. State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou, 510640, China

    Zhengrong Jiang & Kairong Shi

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  1. Zhengrong Jiang
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  2. **aowei Liu
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  3. Kairong Shi
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  4. Quanpan Lin
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Correspondence to Kairong Shi.

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Jiang, Z., Liu, X., Shi, K. et al. Catenary Equation-Based Approach for Force Finding of Cable Domes. Int J Steel Struct 19, 283–292 (2019). https://doi.org/10.1007/s13296-018-0117-8

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  • DOI: https://doi.org/10.1007/s13296-018-0117-8

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