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Stiffness Reduction Factor for Post-Tensioned Flat Plate Slabs under Lateral Loads

횡하중하의 포스트 텐션 플랫 플레이트 해석을 위한 강성감소계수

  • Park, Young-Mi (Dept. of Architectural Engineering, Hanyang University) ;
  • Park, Jin-Ah (Dept. of Architectural Engineering, Hanyang University) ;
  • Han, Sang-Whan (Dept. of Architectural Engineering, Hanyang University)
  • Published : 2009.10.31

Abstract

Effective beam width model(EBWM) has been used for analysis of post-tensioned(PT) flat plate slab frames under lateral loads. The accuracy of this model in predicting lateral drifts and unbalanced moments strongly depends on the estimated effective stiffness of PT flat plate slabs. As moments on the slab due to lateral loads increases, cracks occur which leads to stiffness reduction in slabs. For analyzing PT flat plate slab structure under lateral loads with good precision, reduction in slab stiffness has to be accurately estimated for EBWM. For this purpose, this study collected test results of PT flat plate system conducted by former researches. And this study reduced the width of slab so that the stiffness of the EBWM converged into the lateral stiffness of each test specimens by trial and error. By conducting nonlinear regression analysis using the stiffness ratio of the reduced width of slab to the effective width of EBWM with respect to the level of slab moments, an equation for calculating stiffness reduction factor for slab is proposed. For verifying the accuracy of the proposed equation, this study compared with the test result of the PT flat plate frame. It is shown that the EBWM with the proposed equation predicts the actual stiffness of the PT specimen which varied according to the level of applied moment.

횡하중을 받는 포스트 텐션(PT) 플랫 플레이트 슬래브 골조의 해석은 일반적으로 유효보폭모델을 많이 사용한다. 횡 변위비와 불균형 모멘트을 예측하기 위한 유효보폭모델의 정확성은 PT 플랫 플레이트 슬래브의 유효강성을 어떻게 평가하느냐에 달려 있다. 슬래브 강성은 횡하중에 의한 작용모멘트의 증가와 함께 감소되기 때문에, 슬래브의 강성 감소현상은 플랫 플레이트 골조의 해석에 반영되어야 하며 균열의 영향 또한 고려되어야 한다. 횡하중을 받는 PT 플랫 플레이트 슬래브 구조의 정확한 해석을 위해 슬래브 강성감소는 유효보폭모델이 정확하게 되어야 한다. 이 목적을 위해 이 연구는 기존 연구자들에 의해 실시된 PT 플랫 플레이트 내부 및 외부 접합부의 실험 결과를 수집하였다. 그리고 이 연구는 시행착오를 통해 각 실험체의 횡강성에 유효보폭모델의 강성이 수렴하도록 슬래브의 폭을 감소시켰다. 슬래브의 모멘트 크기에 따라 비선형 회귀 분석을 수행함으로서 슬래브에 대한 강성감소계수 계산식을 제안하였다. 이 연구에서는 제안된 식의 정확성을 검증하기 위해서 PT 플랫 플레이트 골조의 실험 결과와 비교하였다. 제안된 식을 적용한 유효보폭모델은 작용하중의 크기에 따라 변화하여 PT 실험체의 실제 강성을 잘 예측하는 것으로 나타났다.

Keywords

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