Abstract
The beam string structure (BSS) has been widely applied to public buildings (e.g. sports venues and exhibition centers) for its strong adaptability to architectural form and reasonable load bearing mechanism. However, most mathematical calculation methods for BSS are too complicated to be generally mastered by structural engineers, which limits the promotion and actual application. In this paper, two analytical calculation methods for the BSS are proposed based on displacement control objectives and work-energy principle. The computational formulas are then derived to calculate the member internal force and structural deformation. On this basis, the tension and static load tests and the finite element analytical method have been carried out to assess the calculation methods. The results of the tests and simulation are in good agreement with the analytical solution obtained by the computational formulas. Moreover, the formulas can be more appropriate with a greater beam span, proper rise–span and sag–span ratios (between 1/15 and 1/12) as well as more brace struts.
Similar content being viewed by others
References
Chen, H. X. (2002). Computational Analysis of A Planar Beam String Structure. Guangdong Architecture Civil Engineering,10, 9–12. (in Chinese).
Chen, Y., et al. (1999). Experimental study on a full-scale roof truss of Shanghai Pudong International Airport Terminal. Journal of Building Structures,20(2), 9–17. (in Chinese).
Dong, N. J., & Liu, H. T. (2014). Static Analysis of Planar BSS based on Energy Principle. Science Technology and Engineering,14(01), 265–268.
Han, J. S. (2008). Discussion about a BSS-based design method. Oil-Gas field Surface Engineering,8, 36–43.
Han, Q. H., & Ma, C. Y. (2007). Zhang J Dynamic Stability Analysis of Beam String Structures Under Earthquake Loads. Advanced Steel Construction,3(2), 679–688.
Hao, C. X., & Shen, S. Z. (1986). Planar Prestressed Cable-Arch System. Journal of Harbin Civil Engineering Institute,03, 1–15. (in Chinese).
Liu, K. G. (2001). Analysis of a large-span beam string structure. Spatial Structures,2, 39–43. (in Chinese).
Liu S. Design Theory and Construction Control Study of Prestressed BBS (Ph.D. Thesis),. Tongji University, 2007(in Chinese).
Masao, S. (1988). A study on structural planning of radial type beam string structures. In Proceedings of the Summaries of technical papers of the annual meeting of the Architectural Institute of Japan, Vol. B1 (pp. 1365–1366), Architectural Institute of Japan, Tokyo (in Japanese).
Masao, S., & Kurasiro, T. (1985). A study on structural behaviors of beam string structure. In Proceedings, Summaries of technical papers of the annual meeting of the Architectural Institute of Japan, Vol. B1 (pp. 280–284). Architectural Institute of Japan, Tokyo (in Japanese).
Masao, S., & Ohtake, T. (1988). A study on beam string structure with flat circular arch. In Proceedings, Summaries of technical papers of the annual meeting of the Architectural Institute of Japan, Vol. B1 (pp. 1369–1374). Architectural Institute of Japan, 1988 (in Japanese).
Rahnavard, Rohola, Hassanipour, Akbar, & Mounesi, Ali. (2016). Numerical study on important parameters of composite steel-concrete shear walls. Journal of Constructional Steel Research,121, 441–456.
Rahnavard, Rohola, Hassanipour, Akbar, Suleiman, Mohamed, & Mokhtari, Ali. (2017). Evaluation on eccentrically braced frame with single and double shear panel. Journal of Building Engineering,10, 13–25.
Saitoh, M. (1979). Principle of Beam String Structure. In World congress shell and spatial structure-proceeding IASS symposium.
Su, X. L., Liu, S., & Xue, W. C. (2009). Deformation and internal force analysis of the prestressed BSS based on the Rayleigh-Ritz method. Spatial Structures,15(01), 49–54.
Xue, W. C., & Liu, S. (2008). Studies on a Large-Span Beam String Pipeline Crossing. Journal of Structural Engineering,134(10), 1657–1667.
Ye, J., Feng, R., Zhao, X., et al. (2012). A form-finding method of beam string structures-Offload by steps method. Journal of Steel Structures,12, 267.
Zhao, H. J. (2013). Mechanical properties and stability analysis of beam string structure based on energy principle. Berlin: Spriger.
Acknowledgements
The author would like to thank the support from the National Natural Science Foundation of China (No. 51478310).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Yan, X., Hu, H., Chen, Z. et al. An Improved Mathematical Calculation Method for Beam String Structure Based on Static Equilibrium Principle. Int J Steel Struct 20, 1241–1255 (2020). https://doi.org/10.1007/s13296-020-00355-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13296-020-00355-z