• 제목/요약/키워드: axial force-moment-curvature analysis

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Inelastic analysis of concrete beams strengthened with various fiber reinforced polymer (FRP) systems

  • Terro, M.J.;El-Hawary, M.M.;Hamoush, S.A.
    • Computers and Concrete
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    • 제2권3호
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    • pp.177-188
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    • 2005
  • This paper presents a numerical model developed to evaluate the load-deflection and moment-curvature relationship for concrete beams strengthened externally with four different Fiber Reinforced Polymer (FRP) composite systems. The developed model considers the inelastic behavior of concrete section subjected to a combined axial force and bending moment. The model accounts for tensile strength of concrete as defined by the modulus of rupture of concrete. Based on the adopted material constitutive relations, the model evaluates the sectional curvature as a function of the applied axial load and bending moment. Deflections along the beam are evaluated using a finite difference technique taking into account support conditions. The developed numerical technique has been tested on a cantilever beam with a transverse load applied at its end. A study of the behavior of the beam with tension reinforcement compared to that with FRP areas giving an equivalent ultimate moment has been carried out. Moreover, cracking of the section in the tensile region at ultimate load has also been considered. The results indicated that beams reinforced with FRP systems possess more ductility than those reinforced with steel. This ductility, however, can be tuned by increasing the area of FRP or by combining different FRP layers.

편심압축이 작용하는 HCFT기둥에 대한 내력특성과 모멘트-곡률의 곤계 (Strength and Moment-Curvature Relationship of HCFT Columns under Eccentric Load)

  • 이승조;박정민;김화중
    • 콘크리트학회논문집
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    • 제14권6호
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    • pp.864-873
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    • 2002
  • 현재의 CFT기둥 구조에 대한 연구는 대부분 강재측 측면에서 접근한 연구와 강관 내부에 충전되는 콘크리트의 충전성 등과 같은 시공적 측면에 대한 연구성과가 주류로 되고 있으며, 콘크리트 측면에서의 연구는 미흡한 실정이다. 이것에 대한 연구를 중심으로 HCFT 기둥이 축력아래에서 단주가 동일한 휨-모멘트를 받을 때의 변형성능(M-ø)에 대하여 해석적으로 수치적인 값을 검토하였다. 그리고, 기본적인 가정을 바탕으로 실험에서 얻은 CFT 단면의 변형성능의 해석에 대하여 모멘트-축력-곡률관계의 해석 프로그램의 개발(C-Language)을 실시하였다. 따라서, 본 연구에서는 폭-두께비(D/t), 세장비(λ), 콘크리트의 종류를 주요변수로 하여 편심하중 아래에서의 강도 600kgf/$\textrm{cm}^2$를 충전한 HCFT 기둥에 대한 내력 및 곡률과 같은 구조적 특성을 고찰하였으며, AISC-LRFD, AIJ, Tokanori Sato의 식을 이용한 내력설계식의 비교분석을 실시하였다. 본 연구에서 검토한 내력 및 곡률은 향후 HCFT 기둥에 대한 내력설계식의 제안 및 해석에 유용하게 적용될 수 있을 것으로 사료된다.

인장지배영역에서의 철근콘크리드 기둥의 연성에 관한 해석적 연구 (An Analytical Study on Ductility of Reinforced Concrete Columns under Tension Controlled Region)

  • 손혁수;김준범;이재훈
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1997년도 가을 학술발표회 논문집
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    • pp.527-532
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    • 1997
  • Design strength of structural members could be determined by applying a strength reduction factor to nominal strength. At the beginning point of the transition region for the strength reduction factor, P=0.1$\sigma$$_{ck}A_g$, only sectional area and concrete strength are adopted as the variables of P=0.1$\sigma$$_{ck}A_g$. Therefore, P=0.1$\sigma$$_{ck}A_g$ is the empirically adopted which does not consider steel ratio, steel yielding stress, and steel arrangement. So, this research was perpormed the computer program for the analysis of axial force-moment-curvature relationship of reinforced concrete columns by sectional behaviour nonlinear analysis using a concrete compressive stress-strain curve, in order to investigate the ductility of reinforced concrete columns. As a result, ductility indicies of axial force, P=0.1$\sigma$$_{ck}A_g$, represented the lack of consistency of the indicies value for the various sections.

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고강도 철근 콘크리트 기둥의 실험 및 강도해석 (Experiment and Strength Analysis of High-Strength RC Columns)

  • 손혁수;김준범;이재훈
    • 콘크리트학회지
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    • 제11권1호
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    • pp.149-160
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    • 1999
  • 본 논문은 고강도 콘크리트기둥에 대한 설계방법을 검증하는 연구의 일부로서, 보통강도 및 고강도 콘크리트기둥시편에 대하여 편심하중의 재하실험을 수행하여 파괴거동을 관찰하고 기둥강도를 측정하였다. 기둥시편은 모두 32개로 콘크리트 압축강도, 종방향 철근비, 세장비, 재하편심을 실험의 주요변수로 선정하였다. 콘크리트 압축강도는 356~951 kg/$cm^$ 이며, 종방향철근비는 1.13~5.51 %, 세장비는 19, 40, 61의 3 종류로 하였다. ACI의 직사각형 응력블럭, Ibrahim과 MacGregor의 수정된 직사각형 응력블럭, 사다리꼴 응력 블럭을 이용한 기둥강도해석과 축력-모멘트-곡률해석을 통한 기둥강도해석을 수행하였으며, 실험결과와 비교분석하였다. 현시방서에서 적용하고 있는 직사각형 응력블럭은 철근비가 낮은 고강도 콘크리트기둥에 대하여 비안전측의 축력-모멘트강도를 제공한다. 축력-모멘트-곡률해석을 통한 기둥강도해석시에는 콘크리트 응력-변형률곡선의 최대응력을 결정하는 $k_3$ 값에 따라 정확성 및 안전성이 좌우된다. 또한, 본 논문에서는 재하실험을 통한 기둥의 파괴거동, 압축연단 극한변형률, 응력블럭변수 등을 비교분석하였다.

장방형 철근 콘크리트 기둥의 띠철근량에 관한 해석적 연구 (Analytical Study on the Amount of Transverse Steel in Square Reinforced Concrete Columns.)

  • 이리형;김성수;이용택;김승훈
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1996년도 가을 학술발표회 논문집
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    • pp.453-458
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    • 1996
  • In reinforced concrete structure, it is very important to secure ductile performance of column because the columns become brittle failure and cause the collapse of an entire structure and the damage of human life. This study is intending to seek the quantity of transverse steels in square reinforced concrete columns which is derived from moment-curvature analysis of cross section about various arrangements of transverse steel and the ratio of axial force and to propose the design method to secure the sufficient ductile behavior subjected to complex loading.

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Divergence-free algorithms for moment-thrust-curvature analysis of arbitrary sections

  • Chen, Liang;Liu, Si-Wei;Chan, Siu-Lai
    • Steel and Composite Structures
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    • 제25권5호
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    • pp.557-569
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    • 2017
  • Moment-thrust-curvatures ($M-P-{\Phi}$ curves) are fundamental quantities for detailed descriptions of basic properties such as stiffness and strength of a section under axial loads required for accurate computation of the deformations of reinforced concrete or composite columns. Currently, the finite-element-based methods adopting small fibers for analyzing a section are commonly used for generating the $M-P-{\Phi}$ curves and they require large amounts of computational time and effort. Further, the conventional numerical procedure using the force-control method might encounter divergence problems under high compression or tension. Therefore, this paper proposes a divergence-free approach, combining the use of the displacement-control and the Quasi-Newton scheme in the incremental-iterative procedure, for generating the $M-P-{\Phi}$ curves of arbitrary sections. An efficient method for computing the strength from concrete components is employed, where the stress integration is executed by layer-based algorithms. For easy modeling of residual stress, cross sections of structural steel components are meshed into fibers for strength resultants. The numerical procedure is elaborated in detail with flowcharts. Finally, extensive validating examples from previously published research are given for verifying the accuracy of the proposed method.

Experimental investigations on seismic responses of RC circular column piers in curved bridges

  • Jiao, Chiyu;Li, Jianzhong;Wei, Biao;Long, Peiheng;Xu, Yan
    • Earthquakes and Structures
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    • 제17권5호
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    • pp.435-445
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    • 2019
  • The collapses of curved bridges are mainly caused by the damaged columns, subjected to the combined loadings of axial load, shear force, flexural moment and torsional moment, under earthquakes. However, these combined loadings have not been fully investigated. This paper firstly investigated the mechanical characteristics of the bending-torsion coupling effects, based on the seismic response spectrum analysis of 24 curved bridge models. And then 9 reinforced concrete (RC) and circular column specimens were tested, by changing the bending-tortion ratio (M/T), axial compression ratio, longitudinal reinforcement ratio and spiral reinforcement ratio, respectively. The results show that the bending-torsion coupling effects of piers are more significant, along with the decrease of girder curvature and the increase of pier height. The M/T ratio ranges from 6 to 15 for common cases, and influences the crack distribution, plastic zone and hysteretic curve of piers. And these seismic characteristics are also influenced by the compression ratio, longitudinal reinforcement ratio and spiral reinforcement ratios of piers.

콘크리트의 초기재령특성을 고려한 합성형 휨 부재의 재령종속적 처짐해석 (Deflection Analysis of Flexural Composite Members Considering Early-Age Concrete Properties)

  • 성원진;김정현;윤성욱;이용학
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2003년도 봄 학술발표회 논문집
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    • pp.427-432
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    • 2003
  • An analytical method to predict the flexural behavior of composite girder is presented in which the early-age properties of concrete are specified including maturing of elastic modulus, creep and shrinkage. The time dependent constitutive relation accounting for the early-age concrete properties is derived in an incremental format by expanding the total form of stress-strain relation by the first order Taylor series with respect to the reference time. The sectional analysis calculates the axial and curvature strains based on the force and moment equilibriums. The deflection curve of the box girder approximated by the quadratic polynomial function is calculated by applying to the proper boundary conditions in the consecutive segments. Numerical applications are made for the 3-span double composite steel box girders which is a composite bridge girder filled with concrete at the bottom of the steel box in the negative moment region. The one dimensional finite element analysis results are compared with those of the three dimensional finite element analysis and the analytical method based on the sectional analysis. Close agreement is observed among the three methods.

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지진하중을 받는 철근콘크리트 장주의 P-$\Delta$ 효과 (Seismic P-$\Delta$ Effects of Slender RC Columns in Earthquake Analysis)

  • 곽효경;김진국
    • 한국전산구조공학회논문집
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    • 제19권4호
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    • pp.375-387
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    • 2006
  • 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.

Seismic performance evaluation of coupled core walls with concrete and steel coupling beams

  • Fortney, Patrick J.;Shahrooz, Bahram M.;Rassati, Gian A.
    • Steel and Composite Structures
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    • 제7권4호
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    • pp.279-301
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    • 2007
  • When coupling beams are proportioned appropriately in coupled core wall (CCW) systems, the input energy from ground motions is dissipated primarily through inelastic deformations in plastic hinge regions at the ends of the coupling beams. It is desirable that the plastic hinges form at the beam ends while the base wall piers remain elastic. The strength and stiffness of the coupling beams are, therefore, crucial if the desired global behavior of the CCW system is to be achieved. This paper presents the results of nonlinear response history analysis of two 20-story CCW buildings. Both buildings have the same geometric dimensions, and the components of the buildings are designed based on the equivalent lateral force procedure. However, one building is fitted with steel coupling beams while the other is fitted with diagonally reinforced concrete coupling beams. The force-deflection relationships of both beams are based on experimental data, while the moment-curvature and axial load-moment relationships of the wall piers are analytically generated from cross-sectional fiber analyses. Using the aforementioned beam and wall properties, nonlinear response history analyses are performed. Superiority of the steel coupling beams is demonstrated through detailed evaluations of local and global responses computed for a number of recorded and artificially generated ground motions.