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

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
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Seismic P-$\Delta$ Effects of Slender RC Columns in Earthquake Analysis

지진하중을 받는 철근콘크리트 장주의 P-$\Delta$ 효과

  • 곽효경 (한국과학기술원 건설 및 환경공학과) ;
  • 김진국 ((재)포항산업과학연구원 강구조연구소)
  • Published : 2006.12.30
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Abstract

Different from the previous studies which investigated seismic P-$\Delta$ effect in slender columns though comparison of response spectra according to stability coefficients obtained from the analyses based on the assumed moment-curvature relationship, the axial force and P-$\Delta$ effect in RC columns are investigated on the basis of the layered section method which can effectively consider the changes of stiffness and yield strength due to the application of axial force in RC members. Practical ranges of slenderness and stability coefficient are assumed, and sixty sets of horizontal/vertical earthquake inputs are used in the analysis. From the parametric study, it is noted that the maximum deformation of the slender RC column is hardly affected by P-$\Delta$ effect or vortical earthquake but dominantly affected by the applied axial force. Therefore, it can be concluded that no additional consideration for the P-$\Delta$ effect and vortical earthquake is required in the seismic design of a slender RC column if the axial force effect is taken into account in the analysis and design procedures.

기존의 연구에서 가정된 모멘트-곡률 관계를 토대로 고정된 안정계수를 갖는 응답스펙트럼을 구성하여 동적 P-$\Delta$ 효과를 분석한 것과는 달리, 이 논문에서는 안정계수의 증가, 즉, 축력의 증가에 따른 하중-변위관계의 변화를 고려할 수 있도록하는 적층단면법을 토대로 실용범위의 세장비와 안정계수를 변화시켜가며, 해석을 수행하여 철근콘크리트 장주의 동적 P-$\Delta$ 효과를 분석하였다. 다양한 지진에 대한 보편화된 결과를 얻기 위해 각기 다른 60개의 입력지진을 사용하였다. 또한, 수평지진과 수직지진을 동시에 작용하여 해석을 수행해 수직지진에 따른 P-$\Delta$ 효과를 살펴보았다. 해석결과, 철근콘크리트 장주의 최대변형은 축력, P-$\Delta$ 효과 및 수직지진의 영향을 거의 받지 않는 반면, 부재 내력은 축력에 의한 강성과 항복강도의 증가에 의해 증가하기 때문에, 철근콘크리트 장주의 내진설계시 축력효과를 고려하여 설계할 경우 P-$\Delta$ 효과 또는 수직지진에 대한 추가적인 영향은 고려하지 않아도 될 것으로 판단된다.

Keywords

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