DOI QR코드

DOI QR Code

Linear elastic and limit state solutions of beam string structures by the Ritz-method

  • Xue, Weichen (Department of Building Engineering, Tongji University) ;
  • Liu, Sheng (Department of Building Engineering, Tongji University)
  • 투고 : 2007.09.27
  • 심사 : 2010.01.19
  • 발행 : 2010.05.10

초록

The beam string structure (BSS) has been widely applied in large span roof structures, while no analytical solutions of BSS were derived for it in the existing literature. In the first part of this paper, calculation formulas of displacement and internal forces were obtained by the Ritz-method for the most commonly used arc-shaped BSS under the vertical uniformly distributed load and the prestressing force. Then, the failure mode of BSS was proposed based on the static equilibrium. On condition the structural stability was reliable, BSS under the uniformly distributed load would fail by tensile strength failure of the string, and the beam remained in the elastic or semi-plastic range. On this basis, the limit load of BSS was given in virtue of the elastic solutions. In order to verify the linear elastic and limit state solutions proposed in this paper, three BSS modal were tested and the corresponding elastoplastic large deformation analysis was performed by the ANSYS program. The proposed failure mode of BSS was proved to be correct, and the analytical results for the linear elastic and limit state were in good agreement with the experimental and FEM results.

키워드

참고문헌

  1. Chen, Y., Shen, Z., Zhao, X., Chen, Y., Wang, D., Gao, C. and Chen, H. (1999), "Experimental study on a fullscale roof truss of Shanghai Pudong International Airport Terminal", J. Buil. Struct., 20(2), 9-17. (In Chinese)
  2. Fu, G., Moses, F. and Khazem, D.A. (2000), "Strength of parallel wire cables for suspension bridges", Proceedings of the 8th ASCE Specialty Conference on Probabilistic Mechanics and Structural Reliability, Notre Dame, July.
  3. Hosozawa, O., Shimamura, K. and Mizutani, T. (1999), "The role of cables in large span spatial structures: introduction of recent space structures with cables in Japan", Eng. Struct., 21(8), 795-804. https://doi.org/10.1016/S0141-0296(98)00032-7
  4. Huang, M. (2005), "Design and construction of large-span beam string structures", ShanDong Science and Technology Press, Shandong, China. (In Chinese)
  5. Levy, R., Hanaor, A. and Rizzuto, N. (1994), "Experimental investigation of prestressing in double-layer grids", Int. J. Space Struct., 9(1), 21-6. https://doi.org/10.1177/026635119400900103
  6. Li, G., Shen, Z., Ding, X., Zhou, X., Chen, Y., Zhang, F. and Zhou, J. (1999), "Shaking table experimental study on R2 steel roof model of Shanghai Pudong International Airport Terminal subjected to three dimensional earthquakes", J. Buil. Struct., 20(2), 18-27. (In Chinese)
  7. Liu, S. (2007), Studies on Design Theory and Construction Control of Prestressed Beam String Structures. Master's thesis, Dept. of Building Engineering. Tongji Univ. Shanghai. China.
  8. Rektorys, K. (1979), "Variational methods in mathematics, science and engineering", D. Reidel Publishing Company, Prague, Czechoslovakia.
  9. Ritz, W. (1908), "U ber eine neue Methode zur Lo sung gewisser Variationsprobleme der mathematischen Physik", Journal fur Reine und Angewandte Mathematik, 135, 1-61.
  10. Saitoh, M. (1988), "A study on structural planning of radial type beam string structures", Proceedings of the Summaries of Technical Papers of Annual Meeting Architectural Institute of Japan, Tokyo. (In Japanese)
  11. Saitoh, M. and Ohtake, T. (1988), "A Study on beam string structure with flat circular arch", Proceedings of the Summaries of Technical Papers of Annual Meeting Architectural Institute of Japan, Tokyo. (In Japanese)
  12. Saitoh, M. and Okasa, A. (1999), "The role of string in hybrid string structure", Eng. Struct., 21(8), 756-769. https://doi.org/10.1016/S0141-0296(98)00029-7
  13. Saitoh, M. and Tosiya, K. (1985), "A study on structural behaviors of beam string structure", Proceedings of the Summaries of Technical Papers of Annual Meeting Architectural Institute of Japan, Tokyo. (In Japanese)
  14. Saitoh, M., Okada, A., Maejima, K. and Gohda, T. (1994), "Study on mechanical characteristics of a light-weight complex structure composed of a membrane and a beam string structure", Proceedings of the IASS-ASCE International Symposium 1994 on Spatial, Lattice and Tension Structures, Atlanta, April.
  15. Xue, W. and Liu, S. (2009), "Design optimization and experimental study on beam string structures", J. Constr. Steel Res., 65(1), 70-80. https://doi.org/10.1016/j.jcsr.2008.08.009

피인용 문헌

  1. Analytical method for the out-of-plane buckling of the jib system with middle strut vol.21, pp.5, 2016, https://doi.org/10.12989/scs.2016.21.5.963