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Development of PBD Method for Concrete Mix Proportion Design Using Bayesian Probabilistic Method

Bayesian 통계법을 활용한 성능기반형 콘크리트 배합설계방법 개발

  • Kim, Jang-Ho Jay (Dept. of Civil and Environmental System Engineering, Yonsei University) ;
  • Phan, Duc-Hung (Dept. of Civil and Environmental System Engineering, Yonsei University) ;
  • Lee, Keun-Sung (Dept. of Civil and Environmental System Engineering, Yonsei University) ;
  • Yi, Na-Hyun (Dept. of Civil and Environmental System Engineering, Yonsei University) ;
  • Kim, Sung-Bae (Dept. of Civil and Environmental System Engineering, Yonsei University)
  • 김장호 (연세대학교 사회환경시스템공학부) ;
  • 판덕헝 (연세대학교 사회환경시스템공학부) ;
  • 이근성 (연세대학교 사회환경시스템공학부) ;
  • 이나현 (연세대학교 사회환경시스템공학부) ;
  • 김성배 (연세대학교 사회환경시스템공학부)
  • Received : 2009.07.10
  • Accepted : 2010.01.05
  • Published : 2010.04.30

Abstract

Recently, Performance Based Design (PBD) method has been studied as a next generation structural design method, which enables a designed structure to satisfy the required performance during its service life. One method of deciding whether the required performance has been satisfied is Bayesian method, which has been commonly used in seismic analysis. Generally, it is presented as a conditional probability of exceeding some limit state (i.e., collapse) for a given ground motion. In PBD of concrete mixture design, the same methodology can be applied to assess concrete material performance based on some conditional parameters (i.e. strength, workability, carbonation, etc). In this paper, a detailed explanation of the procedure of drawing satisfaction curve by using Bayesian method based on various material parameters is shown. Also, a discussion of using the developed satisfaction curves for PBD for concrete mixture design is presented.

최근 내구수명기간 동안 요구되는 성능을 만족시키는 차세대 구조설계 연구의 일환으로 PBD 방법에 대한 관심이 증가하고 있다. 성능의 유효여부를 결정하는 방법 중의 하나인 Bayesian 방법은 일반적으로 내진해석 및 설계에서 많이 사용되어왔다. 이 방법은 어느 지진가속도로 인해 발생할 수 있는 구조물의 한계상태(i.e. 붕괴)의 초과확률을 체계적으로 계산할 수 있는 통계방법이다. 이 연구에서는 Bayesian 방법을 활용하여 콘크리트 배합에 대한 강도, 워커빌리티, 탄산화 등과 같은 재료성능의 만족도를 만족 비율로 계산할 수 있는 PBD 개념을 개발하고자 한다. 설계 또는 분석에 사용될 수 있는 Bayesian 방법은 다양한 재료의 특성을 고려하여 만족도 곡선 작성 과정을 설명하고 작성된 만족도 곡선을 사용하는 방법을 제시하고자 한다.

Keywords

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