콘크리트학회지 (Magazine of the Korea Concrete Institute)

한국콘크리트학회 (Korea Concrete Institute)
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프리스트레스트 콘크리트 박스 거더 교량의 시간에 따른 변형의 확률 해석 및 민감도 해석

Uncertainty and Sensitivity Analysis of Time-Dependent Deformation in Prestressed Concrete Box Girder Bridges

  • 오병환 (서울대학교 토목공학과) ;
  • 양인환 (서울대학교 공학연구소 특별연구원)
  • 발행 : 1998.12.01
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초록

프리스트레스트 콘크리트 박스 거더 교량의 장기거동의 정확한 예측은 시공중 및 완공후의 사용성 확보를 위해서 매우 중요하다. 이러한 장기거동은 콘크리트의 크리프와 건조수축등의 확률특성에 따라 크게 영향을 받는다. 따라서, 본 논문에서는 프리스트레스트 콘크리트 박스거더 교량에서의 크리프와 건조수축효과의 불확실성 및 민감도 해석에 관한 연구를 수행하였다. 콘크리트의 크리프와 건조수축효과의 불확실성은 입력이자의 변동성을 고려하여 산출한다. 불확실성 및 민감도 해석은 Latin Hypercube 샘플링 기법에 의해 수행하며, 각 샘플에 대하여 시간 의존적 구조해석을 하여 그 결과를 통계학적으로 분석한다. 본 연구에서는 각 입력인자의 구조해석 결과에 대한 민감도를 정량화 하기 위하여 3가지 즉, RCC, PRCC 와 SRCC 상관계수를 사용하여 민감도 해석을 수행하였다. 현재, 주로 교량설계시 사용되는 ACI모델, CEB-FIP모델과 도로교 표준시방서 모델의 민감도 분석을 수행한결과 크리프 모델 자체의 불확실성과 상대습도가 시간에 따른 변형에 가장 중요한 영향인자인 것으로 나타났다. 본 연구에서는 장기거동에 영향을 미치는 주요인자를 도출하는 합리적인 해석기법을 정립하였으며, 이로부터 좀 더 합리적인 모델정립에 유용한 토대가 될 것으로 사료된다.

The reasonable prediction of time-dependent deformation of prestressed concrete(PSC) box girder bridges is very important for accurate construction as well as good serviceability. The long-term behavior is mostly influenced by the probabilistic characteristic of creep and shrinkage. This paper presents a method of statistical analysis and sensitivity analysis of creep and shrinkage effects in PSC box been taken into account - model uncertainty, parameter variation and environmental condition. The statistical and sensitivity analyses are performed by using the numerical simulation of Latin Hypercube sampling. For each sample, the time-dependent structural analysis is performed to produce response data, which are then statistically analyzed. The probabilistic prediction of the confidence limits on long-term effects of creep and shrinkage is then expressed. Three measure are examined to quantify the sensitivity of the outputs of each of the input variables. These are rank correlation coefficient(RCC), partical rank correlation coefficient(PRCC) and standardiozed rank regression coefficient(SRRC) computed on the ranks of the observations. Three creep and shrinkage models - i. e., ACI model. CEB-FIP model and the model in Korea Highway Bridge Specification - are studied. The creep model uncertainy factor and the relative humidity appear to be the most dominant factors with regard to the model output uncertainty.

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참고문헌

  1. ACI Manual of Concrete Practice-Part 1 Prediction of Creep, Shrinkage and Temperature Effects in Concrete Structures ACI 209R-92
  2. CEB-FIP Model Code for Concrete Structures Comite Euro-International Du Beton(CEB)
  3. Korea Highway Bridge Specifications (in Korean) Korea Ministry of Construction and Transportation
  4. ACI Materials Journal v.88 no.3 Creep Effects in Concrete Structures: A Study of Stochastic Behavior Floris, C.;Marelli, R.;Regondi, L.
  5. Materials and Structures v.17 no.100 On the Variability of the Creep Coefficient of Structural Concrete Diamantidis, D.;Madsen, H. O.;Rackwitz, R.
  6. Journal of Structural Engineering v.119 no.1 Stochastic Drying and Creep Effects in Concrete Structures Bazant, Z. P.;Xi, Y.
  7. Mathematical Modelling of Creep and Shrinkage of Concrete Bazant, Z. P.
  8. Materials and Structures v.28 Justification and Refinement of Model B3 for Concrete Creep and Shrinkage 1. Statistics and Sensitivity Bazant, Z. P.;Baweja, S.
  9. Basic Principles v.1 Probability Concepts in Engineering Planning and Design Ang, A. H.-S.;Tang, W. H.
  10. Symposium on Fundamental Research on Creep and Shrinkage of Concrete Variability of Creep and Shrinkage of Concrete Reinhardt, H. W.;Pat, M. G.;Wittmann, F. H.
  11. ACI Journal v.80 Uncertainty Analysis of Creep and Shrinkage Effects in Concrete Structures Madsen, H. O.;Bazant, Z. P.
  12. PCI Journal v.25 no.3 Creep and Shrinkage Characterization for Analyzing Prestressed Concrete Structures Bazant, Z. P.;Panula, L.
  13. Communications in Statistics v.A9 Small Sample Sensitivity Analysis Techniques for Computer Models, with an Application to Risk Assessment Iman, R. L.;Conover, W. J.
  14. Journal of Quality Technology v.13 no.3 An Approach to Sensitivity Analysis of Computer Models : Part I - Introduction. Input Variable Selection and Preliminary Variable Assessment Iman, R. L.;Helton, J. C.;Campbell, J. E.
  15. Journal of Quality Technology v.13 no.4 An Approach to Sensitivity Analysis of Computer Models : Part Ⅱ-Ranking of Input Variables, Response Surface Validation. Distribution Effect and Technique Synopsis Iman, R. L.;Helton, J. C.;Campbell, J. E.
  16. Reliability Engineering and System Safety v.36 An Exploratory Sensitivity Study with the MACCS Reactor Accident Consequence Model Helton, J. C.;Rollstin, J. D.
  17. KCI Journal (in Korean) v.10 no.1 Effects of Material Characteristics on the Time-Dependent Behavior of Prestressed Concrete Box Girder Bridges Constructed by Free Cantilever Method Oh, B. H.;Yang, I. H.
  18. Ph. D. Thesis, Seoul National University Probabilistic Prediction of Time-Dependent Behavior of Prestressed Concrete Box Girder Bridges Yang, I. H.