• Computers and Concrete
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• 제11권6호
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• pp.515-529
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• 2013

The moment-curvature relation for simple bending is a well-studied subject and the classical moment-curvature diagram is commonly found in literature. The influence of axial forces has generally been considered as compression onto symmetrically reinforced cross-sections, thus strain at the reference fiber never has been an issue. However, when dealing with integral structures, which are usually statically indeterminate in different degrees, these concepts are not sufficient. Their horizontal elements are often completely restrained, which, under imposed deformations, leads to moderate compressive or tensile axial forces. The authors propose to analyze conventional beam cross-sections with moment-curvature diagrams considering asymmetrically reinforced cross-sections under combined influence of bending and moderate axial force. In addition a new diagram is introduced that expands the common moment-curvature relation onto the strain variation at the reference fiber. A parametric study presented in this article reveals the significant influence of selected cross-section parameters.

• 한국강구조학회 논문집
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• 제22권4호
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• pp.377-388
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• 2010

HSB600 및 HSB800 고성능강재를 적용한 정모멘트부 강합성거더의 휨거동을 비선형 모멘트-곡률 해석법으로 분석하였다. 연성특성이 다른 3개의 대표적인 강합성거더 기본 단면을 선정하여 모멘트-곡률 해석법으로 모멘트-곡률 이력과 휨저항강도를 구하고 비선형 유한요소해석 프로그램 ABAQUS(2008)로 구한 결과와 비교하여 모멘트-곡률 해석 프로그램을 검증하였다. 비선형 유한요소해석 시에는 플랜지, 복부판 및 콘크리트 바닥판을 판요소로 모델링하여 3차원 강합성거더 유한요소모델을 적용했으며 초기변형과 단면의 잔류응력을 고려하여 해석하였다. 강합성거더 단면에서 콘크리트 바닥판의 28일 압축강도는 30~50MPa를 고려하였으며, 콘크리트 재료는 CEB-FIP(1990) 모델로, 일반 강재와 HSB600 및 HSB800 고성능 강재는 탄소성-변형경화 재료로 모델링하였다. 강합성단면의 연성비, 강거더의 강종, 콘크리트 바닥판의 압축강도, 소성중립축의 위치 등이 강합성거더의 연성특성 및 휨저항강도에 미치는 영향을 분석하였다.

• 한국지진공학회:학술대회논문집
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• 한국지진공학회 2005년도 학술발표회 논문집
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• pp.324-330
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• 2005

The flexural strength and ductility capacity of reinforced concrete columns are largely dependent on the amount of transverse steel. However, current design code does not specify the confinement effect of transverse steels in strength calculation. A non-linear moment-curvature analysis of RC column sections was conducted in order to develop PM interaction diagram considering transverse reinforcement effects. In this paper, a more reasonable application method of PM interaction diagram considering transverse steel amounts is introduced and proposed, based on moment-curvature non-linear analysis. Also, we proposed simplified method to use. easily in practical design.

• Earthquakes and Structures
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• 제10권3호
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• pp.629-643
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• 2016

Among all the natural disasters, earthquakes are the most destructive calamities since they cause a plenty of injuries and economic losses leaving behind a series of signs of panic. The present study highlights the moment-curvature relationships for the structural elements such as beam and column elements and Non-Linear Static Pushover Analysis of RC frame structures since it is a very simplified procedure of non-linear static analysis. The highly popular model namely Mander's model and Kent and Park model are considered and then, seismic risk evaluation of RC building has been conducted using SAP 2000 version 17 treating uncertainty in strength as a parameter. From the obtained capacity and demand curves, the performance level of the structure has been defined. The seismic fragility curves were developed for the variations in the material strength and damage state threshold are calculated. Also the comparison of experimental and analytical results has been conducted.

• 한국전산구조공학회논문집
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• 제15권1호
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• pp.95-104
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• 2002

고강도 PSC 콘크리트 휨부재의 비선형 수치해석을 위해 적층법과 설계기준에 의한 비선형 모멘트 -곡률 관계의 계산방법이 제안되었다. 제안된 수치해석에 의한 모멘트-곡률 관계와 처짐계산을 위한 비선형 수치해석 과정에 의한 계산결과는 해석적인 방법에 의한 모멘트-곡률 관계 그리고 기존의 고강도 PSC 콘크리트 휨부재에 대한 실험결과와 비교되었다. 이 논문의 적층법에 의한 에너지흡수율은 강도설계법과 CEB-FIP 제안식보다 약 30%크게 계산되었다. 적층법에 의한 극한하중과 외부일은 각각 실험결과의 92%와 85%로 안전하게 계산되었으며, 강도설계법은 97%와 122%로 극한하중에 대해서는 안전하나 외부일은 과대 평가되었다. CEB-FIP 제안식은 극한하중과 외부일에서 실험결과의 113% 와 173%로 고강도 콘크리트에 대한 극한변형률 0.0035의 적용에 문제가 있었다 제안된 비선형 수치해석 과정은 고강도 PS 콘크리트 휨부재의 거동을 극한상태까지 안정적으로 해석할 수 있었으며, 극한하중의 80%가지 하중-처짐 관계와 균열의 전파정도의 계산결과는 실험결과와 유사하였다

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2003년도 춘계학술발표대회 논문집
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• pp.215-219
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• 2003

Buckling and post-buckling Analysis of Ludwick type and modified Ludwick type elastic materials was carried out. Because the constitutive equation, or stress-strain relationship is different from that of linear elastic one, a new governing equation was derived and solved by $4^{th}$ order Runge-Kutta method. Considered as a special case of combined loading, the buckling under both point and distributed load was selected and researched. The final solution takes distinguished behavior whether the constitutive relation is chosen to be modified or non-modified Ludwick type as well as linear or non-linear. We also derived strain energy function for non-linear elastic constitutive relationship. By doing so, we calculated the criterion function which estimates the stability of the equilibrium solutions and determines critical buckling load for non-linear cases. We applied this theory to the constitutive relationship of fabric, which also is the non-linear equation between the applied moment and curvature. This results has both technical and mathematical significance.

• Computers and Concrete
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• 제22권1호
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• pp.11-25
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• 2018

A numerical approach for the evaluation of the flexural response of Steel Fibrous Concrete (SFC) cross-sections with arbitrary geometry, with or without conventional steel longitudinal reinforcing bars is proposed. Resisting bending moment versus curvature curves are calculated using verified non-linear constitutive stress-strain relationships for the SFC under compression and tension which include post-peak and post-cracking softening parts. A new compressive stress-strain model for SFC is employed that has been derived from test data of 125 stress-strain curves and 257 strength values providing the overall compressive behaviour of various SFC mixtures. The proposed sectional analysis is verified using existing experimental data of 42 SFC beams, and it predicts the flexural capacity and the curvature ductility of SFC members reasonably well. The developed approach also provides rational and more accurate compressive and tensile stress-strain curves along with bending moment versus curvature curves with regards to the predictions of relevant existing models.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2008년도 춘계 학술발표회 제20권1호
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• pp.1061-1064
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• 2008

Shear connectors have a finite slip capacity because of the mechanism by which they transfer the shear between UHPFRC and NC elements. At high degree of shear connection, non-linear analysis techniques are required to allow for compressive plasticity and tensile cracking behaviour of the elements. As with all non-linear problems, a closed form solution is difficult to find. A Modified Shooting Method Technique is developed here for non-linear analysis of UHPFRC/concrete composite. The initial effective moment is derived according to the prestressing force. The composite structure is divided into small segments which length is much less than the length of the structure and it can be assumed that the forces and displacements within each segment are constant. An equivalent analysis in composite girders would be to fix the slip strain in each segment and develop a moment curvature relationship for this slip strain in each segment. Additive forces and moment analysis on each section of the segments are analyzed by MSMT. Finally the ultimate slippage of the interface can be evaluated by the MSMT model. This paper presents a nonlinear analysis method for limited slip capacity of UHPFRC-NC interface.

• Computers and Concrete
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• 제17권3호
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• pp.353-386
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• 2016

Realistic assessment of the performance of reinforced concrete structural members like columns is needed for designing new structures or maintenance of the existing structural members. This assessment requires analytical capability of employing proper material models and cyclic rules and considering various load and displacement patterns. A computer application was developed to analyze the non-linear, cyclic flexural performance of reinforced concrete structural members under various types of loading paths including non-sequential variations in axial load and bi-axial cyclic load or displacement. Different monotonic material models as well as hysteresis rules, were implemented in a fiber-based moment-curvature and in turn force-deflection analysis, using proper assumptions on curvature distribution along the member, as in plastic-hinge models. Performance of the program was verified against analytical results by others, and accuracy of the analytical process and the implemented models were evaluated in comparison to the experimental results. The computer application can be used to predict the response of a member with an arbitrary cross section and various type of lateral and longitudinal reinforcement under different combinations of loading patterns in axial and bi-axial directions. On the other hand, the application can be used to examine analytical models and methods using proper experimental data.

• Computers and Concrete
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• 제4권5호
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• pp.331-346
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• 2007

A computer program was developed to analyze the non-linear, cyclic flexural performance of reinforced concrete structural members under various types of loading paths including non-sequential variations in axial load. This performance is significantly affected by the loading history. Different monotonic material models as well as hysteresis rules for confined and unconfined concrete and steel, some developed and calibrated against test results on material samples, were implemented in a fiber-based moment-curvature and in turn force-deflection analysis. One of the assumptions on curvature distribution along the member was based on a method developed to address the variation of the plastic hinge length as a result of loading pattern. Functionality of the program was verified by reproduction of analytical results obtained by others for several cases, and accuracy of the analytical process and the implemented models were evaluated against the experimental results from large-scale reinforced concrete columns tested under the analyzed loading cases. While the program can be used to predict the response of a member under a certain loading pattern, it can also be used to examine various analytical models and methods or refine a custom material model against test data.