• Advances in concrete construction
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• 제7권2호
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• pp.117-126
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• 2019

When designing reinforced concrete (RC) members, the rebar is assumed to resist all tensile forces, but the resistance of the concrete in the tension area is neglected. However, concrete can also resist tensile forces and increase the tensile stiffness of RC members, which is called the tension stiffening effect (TSE). Therefore, this study assessed the TSE, particularly after yielding of the steel bars and the effects of the steel ratio on the TSE. For this purpose, RC member specimens with steel ratios of 2.87%, 0.99%, and 0.59% were fabricated for uniaxial tensile tests. A vision-based non-contact measurement system was used to measure the behavior of the specimens. The cracks on the specimen at the stabilized cracking stage and the fracture stage were measured with the image analysis method. The results show that the number of cracks increases as the steel ratio increases. The reductions of the limit state and fracture strains were dependent on the ratio of the rebar. As the steel ratio decreased, the strain after yielding of the RC members significantly decreased. Therefore, the overall ductility of the RC member is reduced with decreasing steel ratio. The yielding plateau and ultimate load of the RC members obtained from the proposed equations showed very good agreement with those of the experiments. Finally, the image analysis method was possible to allow flexibility in expand the measurement points and targets to determine the strains and crack widths of the specimens.

• 콘크리트학회논문집
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• 제24권1호
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• pp.15-23
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• 2012

이 논문은 철근콘크리트 구조부재의 사용성능 검증을 위한 균열폭과 처짐을 산정할 수 있는 새로운 계산 방법을 제안하고 이를 자동으로 계산할 수 있는 프로그램을 개발한 것이다. 이를 위하여 콘크리트의 재료특성을 포물-사각형 응력-변형률 곡선으로 반영한 철근응력과 피복두께의 영향을 반영한 인장증강 계수를 이용한 곡률을 계산할 수 있는 수치 모델링을 실시하였다. 이와 함께 균열폭과 처짐을 계산하는데 필요한 인장증강효과와 유효인장단면적은 균열이 발생한 휨부재 단면의 인장영역을 인장 현재로 이상화하여 정의하였다. 그리고 수정된 인장증강 계수를 이용하여 유효곡률을 계산하였다. 제안된 균열폭과 처짐 산정 방법을 이용하여 여러 연구자들이 수행한 실험 자료를 계산한 결과, 현행 설계기준들의 규정보다 실험값을 비교적 정확하게 예측하는 것으로 나타났다.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 1999년도 학회창립 10주년 기념 1999년도 가을 학술발표회 논문집
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• pp.479-482
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• 1999

The tension stiffening effect, which means the maintaining a part of stiffness after cracking of concrete in tensile, exists at a reinforced concrete member because of the concrete softening and bonding stress between cracks. It is required to consider it for precise analysis and evaluation o structural behavior, due to the possibility of discrepancy between the actual behavior and the analysis without considering the tension stiffening effect. Making and adopting a tension stiffening model is the most simple and effective way for considering it at nonlinear analysis which indicated the estimation from models and experimental results were similar each others. The comparisons on RC beam were, also performed in order to analyzed the influence of concrete strength and steel ratio into the structural behavior. They indicated that the results from analysis estimated quite closely to the test results at low steel ratio, however, overestimated at high steel ratio. The overestimation increase linearly as concrete strength or steel ratio increased.

• International Journal of Concrete Structures and Materials
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• 제10권2호
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• pp.143-147
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• 2016

In recent years, some modifications were introduced in the stress-strain relationship of the steel in order to develop a more efficient shear model for reinforced concrete members. The last contribution in this sense corresponding to the Refined Compression Field Theory (RCFT, 2009); this theory proposed a steel constitutive model that has account the tension stiffening area prescribed by technical codes, what simplifies all the design process. However, under certain design conditions supported by such codes, the RCFT model does not provide a real (non-complex) solution for the steel yield strain when the prescribed tension stiffening area is considered; then the load-strain response cannot be computed. In this technical note, the tension stiffening area is fixed in order to guarantee the application of the embedded steel constitutive model for all the standard design range.

• 콘크리트학회논문집
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• 제23권6호
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• pp.791-797
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• 2011

이 논문은 인장증강효과에 대한 피복두께의 영향을 알아보기 위하여 실시한 12개의 축하중을 받는 직접인장 실험체의 실험 결과를 정리 분석한 것이다. 피복두께와 철근 직경의 비를 주 변수로 선정하여 6개의 서로 다른 피복 두께를 갖는 실험체를 제작하여 실험을 실시하였다. 실험 결과에 따르면 피복두께가 얇을수록 쪼갬균열의 영향이 크게 나타났으며, 인장증강효과와 균열간격이 감소하였다. 그리고 균열안정화 단계에서의 인장증강효과도 피복두께가 얇아질수록 감소하는 것을 확인하였다. 현행 설계기준의 인장증강효과 모델들은 피복두께의 변화에 따른 인장증강 거동의 차이를 반영할 수 없으며, 특히 피복두께가 얇을수록 인장증강효과가 감소하는 현상을 고려하지 못하고 있다. 따라서 이 연구에서 수행한 실험 및 분석 결과를 근거로 하여 인장증강효과에 피복두께의 영향을 반영할 수 있는 인장증강 계수 수정식을 제안하였다.

• 콘크리트학회논문집
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• 제23권1호
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• pp.87-98
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• 2011

철근콘크리트 부재의 균열은 필수불가결한 현상이다. 따라서 효과적으로 균열폭을 측정하기 위한 많은 경험식이 제시되었고, 또한 간편한 적용성 때문에 철근 간격과 직경의 제어를 통한 간접균열제어법이 제시되고 널리 사용되고 있다. EC2에서는 최대균열간격과 평균변형률의 곱으로 설계 균열폭을 산정한다. 이 연구에서는 재료 특성에 따른 최대철근간격과 최대철근직경을 산정하였다. 특히 인장증강효과 모델과 최대균열간격에 따른 영향을 분석하였고, 이를 콘크리트구조설계기준에서 제시한 값과 비교하였다. 해석 결과 인장증강효과 모델에 따라 큰 차이가 발생하였고, 2차식 형태의 인장증강효과 모델과 Part II의 최대균열간격을 사용함으로써 과소평가되었다. 따라서 2차식 형태의 인장증강효과 모델을 사용함으로써 합리적인 간접균열제어가 가능하다. 또한 이를 통해 휨부재의 사용성 검증에 일관성을 확보할 수 있을 것으로 판단된다. 이와 함께 균열제어를 위한 두 가지 모델을 제안하였다.

• Computers and Concrete
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• 제4권5호
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• pp.403-424
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• 2007

The investigation of corrosion effects on the tensile behavior of reinforced concrete (RC) members is very important in region prone to high corrosion conditions. In this article, an experimental study concerning corrosion effects on tensile behavior of RC members is presented. For this purpose, a comprehensive experimental program including 58 cylindrical reinforced concrete specimens under various levels of corrosion is conducted. Some of the specimens (44) are located in large tub containing water and salt (5% salt solution); an electrical supplier has been utilized for the accelerated corrosion program. Afterwards, the tensile behavior of the specimens was studied by means of the direct tension tests. For each specimen, the tension stiffening curve is plotted, and their behavior at various load levels is investigated. Average crack spacing, loss of cross-section area due to corrosion, the concrete contribution to the tensile response for different strain levels, and maximum bond stress developed at each corrosion level are studied, and their appropriate relationships are proposed. The main parameters considered in this investigation are: degree of corrosion ($C_w$), reinforcement diameter (d), reinforcement ratio (${\rho}$), clear concrete cover (c), ratio of clear concrete cover to rebar diameter (c/d), and ratio of rebar diameter to reinforcement percentage ($d/{\rho}$).

• 한국농공학회지
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• 제41권4호
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• pp.104-112
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• 1999

Tensile behavior in concrete has been neglected until recently. However, the effect of tensile stresses in concrete must be considered where the member primarily carries tensile forces or when ultimate strength is affected by the cracking history. In this paper, a series of experiments were performed with a reinforced rectangular beams of 15 specimens in order to investigate the effect of tension stiffening into the nonlinear analysis and cracking behavior. The experimental results were analyzed in terms of load-deflection curves and strain fracture energy with respect to the main experimental variables such as types of specimen, strength of concrete and steel ration. The results from experiments and finite element analysis were compared in terms of load-deflection relationship and cracking pattern. The results are as follows ; The tension stffening effects of reinforced concrete beams were observedc up to yielding of members after cracking showing strain energy difference of 35 % at the beam of 0.57% steel ratio compared with that of beam ignoring the tension stiffening effect. The tension stiffening of concrete strength 400kgf/$\textrm{cm}^2$ and 600kgf/$\textrm{cm}^2$ increased by 8% and 13%, respectively, compared with that of concrete strength 200kgf/$\textrm{cm}^2$. The tension stiffening effects were greater at a ductile member rather than a brittle one. The load-deflection results of finite element analysis showed very similar results from experiment. The crack growth and pattern might be predicted from the nonlinear finite element analysis considering concrete stiffening.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 1998년도 봄 학술발표회 논문집(I)
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• pp.321-326
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• 1998

Shear failure of reinforced concrete beams is serious problem due to sudden brittle failure and many experimental results proved that size effect in shear behavior is an important feature of reinforced concrete members. For this reason, the structural safety of the reinforced concrete beams for shear has been checked by applying empirical design formula, which includes the size-effect, derived from experimental data. However, as the sizes of reinforced concrete members become extremely large, experiments sometimes become very difficult so that the formula or the experimental data could not be obtained and size-effect analyses of shear behavior become significant. In this study, size-effect analysis of shear behavior in reinforced concrete beams is performed by modeling tension stiffening/shear stiffening on reinforced concrete and the tension softening/shear softening on plain concrete. Then, the influences of models in the size-effect analyses of shear behavior in reinforced concrete beams are analyzed.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2005년도 봄학술 발표회 논문집(I)
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• pp.131-134
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• 2005

Until recently tensile stresses in concrete have not been considered, since it does not affect the ultimate strength of reinforced concrete flexural members significantly. However, to verify the load-deflection relationship, the effect of tensile stresses between reinforcing bars and concrete, so-called tension stiffening effect must be taken into account. Main parameters of the tension stiffening behavior are known as concrete strength, and bond between concrete and reinforcing bars. In this study a total of twenty specimen subject to bending was tested with different concrete strength, coverage, and de-bonding length of longitudinal bars. The effects of these parameters on the flexural rigidity, crack initiation and propagation were carefully checked and analyzed.