• Structural Engineering and Mechanics
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• 제19권6호
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• pp.707-720
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• 2005

The bending stress formula that taking into account the transverse deformation is developed for plane-curved, untwisted isotropic beams subjected to loadings that result in deformations in the plane of curvature. In order to account the transverse Poisson contraction effect, a new constitutive relation between force resultants, moment resultants, mid-plane strains and deformed curvatures for a curved plate is derived in a $6{\times}6$ matrix form. This constitutive relation will provide the fundamental basis to the analyses of curved structures composing of isotropic or anisotropic materials. Then, the bending stress formula of a curved isotropic beam can be deduced from this newly developed curved plate theory. The stress predictions by the present analysis are compared to those by the analysis that neglected the Poisson contraction effect. The results show that the Poisson effect becomes more significant as the Poisson ratio and the curvature are getting larger.

• 한국철도학회:학술대회논문집
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• 한국철도학회 2002년도 춘계학술대회 논문집
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• pp.183-188
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• 2002

In locations where the cost or concrete is relatively high, or in situations where the weight or concrete members is to be kept to a minimum, it may be economical to use hollow reinforced concrete vertical members. Hollow reinforced concrete columns with low axial load, moderate longitudinal steel percentage, and a reasonably thick wall were found to perform in a ductile manner at the flexural strength, similar to solid columns. However, hollow reinforced concrete columns with high axial load, high longitudinal steel percentage, and a thin wall were found to behave in a brittle manner at the flexural strength, since the neutral axis is forced to occur away from the inside face of the tube towards the section centroid and, as a result, crushing of concrete occurs near the unconfined inside face of the section. If, however, a steel tube is placed near the inside face of a circular hollow column, the column can be expected not to fail in a brittle manner by disintegration of the concrete in the compression zone. Design recommendation and example by moment-curvature analysis program for curvature ductility are presented. Theoretical moment-curvature analysis for reinforced concrete columns, indicating the available flexural strength and ductility, can be conducted providing the stress-strain relation for the concrete and steel are known. In this paper, a unified stress-stain model for confined concrete by Mander is developed for members with circular sections.

• 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.

• Structural Engineering and Mechanics
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• 제81권3호
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• pp.349-365
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• 2022

Steel fibre-reinforced concrete (SFRC) is an emerging class of composite for construction. However, a reliable method to assess the flexural behaviour of SFRC structural member is in lack. An analytical technique is proposed for determining the moment-curvature response of concrete beams reinforced with steel fibres and longitudinal bars (R/SFRC members). The behaviour of the tensile zone of such members is highly complex due to the interaction between the residual (tension softening) stresses of SFRC and the tension stiffening stresses. The current study suggests a transparent and mechanically sound method to combine these two stress concepts. Tension stiffening is modelled by the reinforcement-related approach assuming that the corresponding stresses act in the area of tensile reinforcement. The effect is quantified based on the analogy between the R/SFRC member and the equivalent RC member having identical geometry and materials except fibres. It is assumed that the resultant tension stiffening force for the R/SFRC member can be calculated as for the equivalent RC member providing that the reinforcement strain in the cracked section of these members is the same. The resultant tension stiffening force can be defined from the moment-curvature relation of the equivalent RC member using an inverse technique. The residual stress is calculated using an existing model that eliminates the need for dedicated mechanical testing. The proposed analytical technique was validated against test data of R/SFRC beams and slabs.

• 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.

• 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

• 대한토목학회논문집
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• 제30권4A호
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• pp.383-389
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• 2010

현재 우리나라의 콘크리트구조설계기준은 강도설계법에 근간하고 있다. 강도설계법에 의해 휨부재를 설계할 경우, 콘크리트 응력-변형률 관계는 사용하중 상태에서 선형으로 가정하지만 이후 극한한계 상태까지에 대해서는 규정되어 있지 않다. 이로 인해 콘크리트구조설계기준에서는 처짐 및 균열폭 등의 산정에 대해 개별적인 규정을 두고 있다. 그러나 한계상태설계법에 근거한 EC에서는 재료에 대한 응력-변형률 관계를 규정하고 있다. 따라서 재료의 응력-변형률 관계로부터 휨강도 및 처짐 등을 직접 계산할 수 있다. 본 연구에서는 휨부재에 대하여 주어진 재료 모델을 바탕으로 평형방정식과 적합조건식을 적용하여 휨모멘트-곡률 관계를 계산하였다. 이로부터 휨강도 및 처짐을 산정하여 현행 콘크리트구조설계기준에 의한 값과 비교하였다. 해석 결과 재료 모델로부터 휨모멘트-곡률 관계를 통해 산정된 처짐은 실험 결과와도 비교적 잘 일치하고, 항복 이후의 처짐 계산도 가능한 것으로 나타났다.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2000년도 봄 학술발표회 논문집
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• pp.787-790
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• 2000

This paper presents an experimental study on flexural behavior of structural member enlarged with epoxy mortar system. The main test variable is flexural tensile strength. A series of 4 test beams was tested to shoe the corresponding effect of each variables on maximum load capacity, load-deflection and moment-curvature relationship, interface behavior and failure mode. The results show that the flexural tensile strength of retrofitted materials have no relation load-deflection, but to load-strain, and failure mode.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1999년도 가을 학술발표회 논문집
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• pp.206-213
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• 1999

The behavior of composite beams, which are composed of cold-formed steel sheeting and normal strength concrete, have been studied. An analytical method has been developed to trace the nonlinear behavior of composite beams. The nonlinear material properties of steel sheeting, reinforcing steel bar and concrete have been included in the analysis. The nonlinear moment-curvature relation of the composite beam has been described using a cross section analysis method and a simple power model, separately. The load-deflection behavior of the beams has been simulated by step-by-step numerical integration method and is compared with test results.

• Structural Engineering and Mechanics
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• 제49권3호
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• pp.373-393
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• 2014

A finite element model for predicting the entire nonlinear behavior of reinforced high-strength concrete continuous beams is described. The model is based on the moment-curvature relations pre-generated through section analysis, and is formulated utilizing the Timoshenko beam theory. The validity of the model is verified with experimental results of a series of continuous high-strength concrete beam specimens. Some important aspects of behavior of the beams having different tensile reinforcement ratios are evaluated. In addition, a parametric study is carried out on continuous high-strength concrete beams with practical dimensions to examine the effect of tensile reinforcement on the degree of moment redistribution. The analysis shows that the tensile reinforcement in continuous high-strength concrete beams affects significantly the member behavior, namely, the flexural cracking stiffness, flexural ductility, neutral axis depth and redistribution of moments. It is also found that the relation between the tensile reinforcement ratios at critical negative and positive moment regions has great influence on the moment redistribution, while the importance of this factor is neglected in various codes.