• Title/Summary/Keyword: 비선형 모멘트-곡률관계

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An Analysis of Continuous Beam by Material Non-linear Transfer Matrix Method (재료비선형 전달행렬법에 의한 연속보의 해석)

  • Seo, Hyun Su;Kim, Jin Sup;Kwon, Min Ho
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.15 no.1
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    • pp.77-84
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    • 2011
  • This study is to develop nonlinear analysis algorithm for transfer matrix method, which can be applied to continuous beam analysis. Gauss-Lobatto integral rule is adopted and the transfer matrix is derived from stiffness matrix. In the transfer matrix method, the system equation has a constant number of unknowns regardless of number of D.O.F. Therefore, the transfer matrix method has computational efficiencies not only in linear elastic analysis but also in nonlinear analysis. To verify the developed method, the analysis results of several examples are compared with commercial code in moment-curvature, moment-displacement and load-displacement relation.

Modeling and Parametric Studies on Moment-Curvature Relation of a Reinforced Concrete Column Subject In Axial-toad and Bi-Axil Moment (축하중과 이축모멘트를 받는 철근콘크리트 기둥의 모멘트-곡률에 관한 모델링 및 변수고찰)

  • 이차돈;최기봉;차준실;김성진
    • Journal of the Korea Concrete Institute
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    • v.14 no.5
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    • pp.677-688
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    • 2002
  • A analytical model is developed which can simulate a complete inelastic biaxial moment-curvature relations of a reinforced concrete column. The model can simulate sudden drop in moment capacity after peak moment and due to spalling of cover concrete. Parametric studies are performed examine the effects of constituent material properties as well as topological arrangement of reinforcements on moment-curvature relations and P-M interaction curve. It has been analytically observed that ductility of a reinforced concrete column is influenced mostly by magnitude of the axial load and spacings or the volume of lateral reinforcements. Compared to ACI P-M interaction curve, overall increase about 10% in square root of sum of squares of axial force and moment, and about 20% in peak load are observed for the columns reinforced according to ACI seismic design code.

A Study on Connection Ductility of Steel Structures Subjected to Monotonic Loading (단조하중을 받는 철골구조물의 접합부 연성도에 관한 연구)

  • Kang, Suk-Bong;Kim, Jin-Hyoung
    • Journal of Korean Society of Steel Construction
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    • v.12 no.4 s.47
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    • pp.375-385
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    • 2000
  • The required connection ductility has been evaluated, considering geometric, material and connection nonlinearity, for 6-story unbraced and 20-story braced steel structures subjected to ultimate lateral load. For material nonlinearity, section moment-curvature relationship and member stiffness matrix have been derived utilizing fiber model and linear flexibility distribution model. In 6-story structure with semi-rigid connections for rigid connection, the required connection ductility is less than that for rigid connection. In 20-story structure, the required connection ductility for semi-rigid connection is almost the same as that for shear connection and the required ductility for rigid connection is larger than that for semi-rigid or shear connection.

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Nonlinear Analysis of a Circular CFT Column Considering Confining Effects (구속 효과를 고려한 원형 CFT 기둥의 비선형 해석)

  • Han, Taek-Hee;Won, Deok-Hee;Yi, Gyu-Sei;Kang, Young-Jong
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.6
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    • pp.1-9
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    • 2009
  • An analysis program to predict the behavior of a concrete filled steel tube column (CFT) was developed. It considered confining effect, material nonlinearity, strain hardening of steel, and initial axial load. With the developed program, axial load-bending moment interaction analyses, moment-lateral displacement relation analyses, and lateral load-lateral displacement relation analyses were performed. For the verification of the developed program, analysis results were compared with the test results from the other researches. The verified results showed that the developed program predicted the behavior of the CFT column with agreeable accuracy. And they showed that it is necessary to consider the confining effect for the reasonable analysis of the CFT column. A simple parametric study was performed and it chose the strength of unconfined concrete and the thickness of a steel tube as the major parameters affecting the behavior of the CFT column. The parametric analysis results showed that the CFT column had higher strength and smaller ductility by increasing the strength of concrete. But the CFT column showed higher strength and larger ductility by increasing the thickness of the steel tube.

Nonlinear Analysis of RC Beams under Cyclic Loading Based on Moment-Curvature Relationship. (모멘트-곡률 관계에 기초한 반복하중을 받는 철근콘크리트 보의 비선형 해석)

  • 곽효경;김선필
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.190-197
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    • 2000
  • A moment-curvature relationship to simulate the behavior of reinforced concrete beam under cyclic loading is introduced. Unlike previous moment-curvature models and the layered section approach, the proposed model takes into consideration the bond-slip effect by using monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The advantages of the proposed model, comparing to layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures. The modification of the moment-curvature relation to reflect the fixed-end rotation and pinching effect is also introduced. Finally, correlation studies between analytical results and experimental studies are conducted to establish the validity of the proposed model.

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Nonlinear Analysis of RC Columns under Cyclic Loading Based on Moment-Curvature Relationship (반복하중을 받는 RC기둥의 비선형 해석을 위한 모멘트-곡률 관계의 개발)

  • 곽효경;김선필
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.3-11
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    • 2002
  • A moment-curvature relationship to simulate the behavior of reinforced concrete (RC) columns under cyclic loading is introduced. Unlike previous moment-curvature models and the layered section approach, the unposed model takes into account the bond-slip effect by using a monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The pinching enact caused by axial force is considered with an assumption that the absorbing energy corresponding to any deformation level maintains constant regardless of the magnitude of applied axial force. The advantages of the proposed model, comparing tn layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures.. Finally, correlation studies between analytical results and experimental studies are conducted to establish the validity of the proposed mood.

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FE Based Numerical Model to Consider Bond-slip Effect in Composite Beams (합성보의 부착슬립 효과를 고려한 유한요소 기반의 수치해석모델)

  • Kwak, Hyo-Gyoung;Hwang, Jin-Wook
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.1
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    • pp.95-110
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    • 2010
  • A numerical model to simulate bond-slip behavior of composite beam bridges is introduced in this paper. Assuming a linear bond stress-slip relation along the interface between the slab and girder, the slip behavior is implemented into a finite element formulation. Adopting the introduced model, the slip behavior can be taken account even in a beam element which is composed of both end nodes only. Governing equation of the slip behavior, based on the linear partial interaction theory, can be determined from the force equilibrium and a constant curvature distribution across the section of a composite beam. Since the governing equation for the slip behavior requires the moment values at both end nodes, the piecewise linear distribution of the constant bending moment in an element is assumed. Analysis results by the model are compared with numerical results and experimental values, and load-displacement relations of composite beams were then evaluated to verify the validity of the proposed model.

A Study on the Assessment of Damage in Pin-Ended Tubular Members (양단 핀접합 강관부재의 손상 평가에 관한 연구)

  • Kim, Woo Bum
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.3
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    • pp.415-428
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    • 1994
  • The purpose of this research is to establish the load-shortening relationship for undamaged members and damaged members with pin-ended support. An analytical method based on the numerical integration was proposed to obtain the ascending and descending branch of load-deformation behavior. The analysis was performed by using the momentthrust-curvature relationship including the effect of cross-sectional distortion. A parametric study regarding the the influence of damages on the ultimate strength of tubular members was also performed. Several experiments for the corroded, fabricated tubular members with dent were performed and the results were compared with the proposed method.

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Analysis of Crack Width and Deflection Based on Nonlinear Bond Characteristics in Reinforced Concrete Flexural Members (비선형 부착 특성에 기반한 철근콘크리트 휨부재의 균열폭과 처짐 해석)

  • Lee, Gi-Yeol;Kim, Woo
    • Journal of the Korea Concrete Institute
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    • v.20 no.4
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    • pp.459-467
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    • 2008
  • This paper describes a proposal for average crack width and immediate deflection calculation in structural concrete members. The model is mathematically derived from actual bond stressslip relationships and tension stiffening effect between reinforcement and the surrounding concrete, and the actual strains of steel and concrete are integrated respectively along the embedded length between the adjacent cracks so as to obtain the difference in the axial elongation. With these, a model for average crack width and immediate deflection in reinforced concrete flexural members are proposed utilizing difference in the axial elongation and average steel strain and moment-curvature relationship with taking account of bond characteristics. The model is applied to the test specimens available in literatures, and the crack width and deflections predicted by the proposal equation in this study are closed to the experimentally measured data compared the current code provisions.

Interaction of Flexure-Torsional by eccentric load in horizontal curved 'I' shape girder (편심하중이 작용하는 수평 곡선 I 형 거더의 휨·비틀림 상호작용)

  • Lim, Jeong-Hyeon;Lee, Kee-Sei;Kim, Hee-Soo;Choi, Jun-Ho;Kang, Young-Joung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.9
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    • pp.6385-6390
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    • 2015
  • With bending moment, torsional moment due to geometric properties as "Initial curvature" acts in horizontally curved I-girder. These behavior causes the secondary effect of bending in minor-axis because of interaction between bending and torsion. The bending and torsion interaction cause a loss of load bearing capacity by induced the early inelastic or plasticity condition in curved girder. Also eccentric load by movements of traffic can increase torsion. However, Equation of interaction between bending and torsion for straight girder, not deal with characteristics of curved girder behavior in previous studies, can be overestimated for ultimate strength in horizontally curved I-girder acting vertical force. Therefore, using more rational, obvious suggestion is required when design curved girder. In this study, we identified the bending-torsional moment interaction for the horizontally curved I-girder of the eccentric load acting by FEM analysis.