Journal of the Computational Structural Engineering Institute of Korea (한국전산구조공학회논문집)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
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Comparison of Limit Strength of Steel Cable-Stayed Bridges using Nonlinear Inelastic Displacement and Buckling Analyses

비선헝 비탄성 유한변위 해석 및 좌굴해석에 의한 강사장교의 극한강도 비교

  • 김승억 (세종대학교 토목환경공학과) ;
  • 최동호 (한양대학교 토목공학과) ;
  • 마상수 (한국시설안전기술공단 기술개발실) ;
  • 송원근 (한국시설안전기술공단 기술개발실)
  • Published : 2005.09.01
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Abstract

The study examines the limit strength for steel cable-stayed bridges. A case studies have been performed in order to evaluate the limit strength lot steel cable-stayed bridges using nonlinear inelastic analysis approach and bifurcation point instability analysis approach, effective tangent modulus $(E_f)$ method. To realize it, a practical nonlinear inelastic analysis condoling the initial shape is developed. In the initial shape analysis, updated structural configuration is introduced instead of initial member forces for beam-column members at every iterative step. Geometric and material nonlinearities of beam-column members are accounted by using stability function, and by using CRC tangent modulus and parabolic function, respectively Besides, geometric nonlinearity of cable members is accounted by using secant value of equivalent modulus of elasticity. The load-displacement relationships obtained by the proposed method are compared well with those given by other approaches. The limit strengths evaluated by the proposed nonlinear inelastic analysis for the proposed cable-stayed bridges with tee dimensional configuration compared with those by the inelastic bifurcation point instability analyses.

본 논문은 강사장교의 극한강도를 다루고 있다. 강사장교의 극한강도를 평가하기 위하여 비선형 비탄성 해석 접근법과 분기점 좌굴 고유치해석 접근법인 유효접선탄성계수$(E_f)$법을 사용하여 예제를 수행하였다. 이를 위하여 초기형상을 고려한 실용적인 비선형 비탄성 해석기법을 제시하였다. 초기형상 해석 시각 형상해석 단계마다 보-기둥 부재의 부재력 대신 개선된 구조물형상을 고려하였다. 보-기둥 부재의 기하학적 비선형은 안정함수를 사용하여 고려하였고, 재료적 비선형은 CRC 접선계수와 포물선 함수를 사용하여 고려하였다. 또한, 케이블 부재의 기하학적 비선형은 할선탄성계수 값을 사용하여 고려하였다. 본 연구에서 제안한 해석기법으로 예측된 하중-변위 곡선들이 다른 연구에 의한 결과들과 비교 검증 되었으며, 제시된 3차원 강사장교 모델들에 대하여 제안한 해석기법과 비탄성 좌굴해석을 사용하여 극한강도를 비교하였다.

Keywords

References

  1. 김선훈, 최창근, 송명관(2001) 케이블 지지구조물의 구조 해석을 위한 개선된 유한요소, 한국전산구조공학회 논문집, 14(4), pp.117-125
  2. 도로교표준시방서(1996) 건설교통부
  3. 정진환, 조현영, 박용명, 계만수(2002) 케이블 처짐형상 결정을 우한 반복 계산법의 개발, 한국전산구조공학회 논문집, 15(4), pp.715-725
  4. AASHTO(1998) AASHTO LRFD Bridge Design Specification, AASHTO
  5. Chen, W. F., Lui, E. M.(1992) Stability design of steel frames, CRC Press, Boca Raton, p.380
  6. El-Zanaty, M., Murray, D., Biorhovde , R. (1980) Inelastic behavior of multistory steel frames, Structural Engineering Report 83, University of Alberta, Alberta, Canada
  7. Clarke, M. J., Bridge, R. Q., Hancock, G. J., Trahair , N. S.(1992) Benchmarking and verification of second-order elastic and inelastic frame analysis programs, in SSRC TG 29 Workshop and Nomograph on Plastic Hinge Based Methods for Advanced Analysis and Design of Steel Frames. White, D.W. and Chen, W. F., Eds., SSRC, Lehigh University, Bethlehem, PA
  8. Ermopoulos, J. C., Vlahinos, A. S., Wang, Y. C. (1992) Stability analysis os cable-stayed bridges. Computers and Structures, 44(5), pp. 1083-1089 https://doi.org/10.1016/0045-7949(92)90331-S
  9. Ernst, H. J.(1965) Der E-Modul von Seilen unter Beruecksichtigung des Durchhanges, Der Bauingenieur 40, pp.52-55
  10. Iwasaki, H., Nogami, K., Nagai, M.(2001) Precision of Ef method for evaluating load- carrying capacity of long-span cable-stayed bridges and its ultimate strength check, IABSE Conference Seoul 2001, IABSE 2001 reports 84, pp.110-111
  11. Karoumi, R.(1999) Some modeling aspects in the nonlinear finite element analysis of cable supported bridges, Computers & Structures, 71, pp.397-412 https://doi.org/10.1016/S0045-7949(98)00244-2
  12. Kim, S.E. and Chen, W.F. (1996a) Practical advanced analysis for braced steel frame design, ASCE J. Struct. Eng., 122(1), pp.1266-1274 https://doi.org/10.1061/(ASCE)0733-9445(1996)122:11(1266)
  13. Kim, S.E., Chen, W.F.(1996b) Practical advanced analysis for unbraced steel frame design, ASCE J. Struct. Eng., 122(11), pp.1259-1265 https://doi.org/10.1061/(ASCE)0733-9445(1996)122:11(1259)
  14. Kim, S.E ., Choi, S.H., Ma, S.S.(2003) Performance based design of steel arch bridges using practical inelastic nonlinear analysis, J. Const. Steel Res., 59, pp.91-108 https://doi.org/10.1016/S0143-974X(02)00019-6
  15. Kim, S.E., Park, M.H., Choi, S.H.(2001) Direct design of three-dimensional frames using practical advanced analysis, Eng. Struct., 23, pp.1491 ~502 https://doi.org/10.1016/S0141-0296(01)00041-4
  16. Liew, J. Y. R.(1992). Advanced Analysis for Frame Design, Ph.D. Thesis. School of Civil Engineering, Purdue University, West Lafayette, IN p.392
  17. Liew, J. Y., Tang, L. K.(1998). Nonlinear refined plastic hinge analysis of space frame structures, Research Report No. CE027/98, Department of Civil Engineering, National University of Singapore, Singapore
  18. Nazmy, A.S., Abdel-Ghaffar, A.M.(1990) Threedimensional nonlinear static analysis of cablestayed bridges, Computers and Structures, 34(2), pp.257-271 https://doi.org/10.1016/0045-7949(90)90369-D
  19. Orbison, J.G.(1982) Nonlinear static analysis of three-dimensional steel frames, Report No. 82-6. Department of Structural Engineering, Cornell University, Ithaca. New York
  20. Prakash, V., Powell, G. H.(1993) DRAIN-3DX: Base program user guide, version 1.10, A Computer Program Distributed by NISEE / Computer Applications, Department of Civil Engineering, University of California, Berkeley
  21. Wang, P.H., Yang, C.G.(1996) Parametric Studies on Cable-Stayed Bridges, Computer and Structures, 60(6), pp.243~260 https://doi.org/10.1016/0045-7949(95)00382-7