• Computers and Concrete
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• 제12권6호
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• pp.831-850
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• 2013

The high strength materials have been more widely used in reinforced concrete structures because of the benefits of the mechanical and durable properties. Generally, it is known that the ductility decreases with an increase in the strength of the materials. In the design of a reinforced concrete beam, both the flexural strength and ductility need to be considered. Especially, when a reinforced concrete structure may be subjected an earthquake, the members need to have a sufficient ductility. So, each design code has specified to provide a consistent level of minimum flexural ductility in seismic design of concrete structures. Therefore, it is necessary to assess accurately the ductility of the beam sections with high strength materials in order to ensure the ductility requirement in design. In this study, the effects of concrete strength, yield strength of reinforcement steel and amount of reinforcement including compression reinforcement on the complete moment-curvature behavior and the curvature ductility factor of doubly reinforcement concrete beam sections have been evaluated and a newly prediction formula for curvature ductility factor of doubly RC beam sections has been developed considering the stress of compression reinforcement at ultimate state. Based on the numerical analysis results, the proposed predictions for the curvature ductility factor are verified by comparisons with other prediction formulas. The proposed formula offers fairly accurate and consistent predictions for curvature ductility factor of doubly reinforced concrete beam sections.

• Journal of the Korean Data and Information Science Society
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• 제15권3호
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• pp.689-694
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• 2004

We investigate the test for model adequacy in nonlinear regression. We can expect the usual likelihood ratio statistic to be unaffected by any parametric- effect curvature; only the effect of intrinsic curvature needs to be considered. Multiplicative correction factor is derived for the limiting distribution of test statistic, which is a function of the intrinsic curvature arrays.

• Computers and Concrete
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• 제16권2호
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• pp.191-207
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• 2015

It is generally accepted that, in the interest of safety, it is essential to provide a minimum level of flexural ductility, which will allow energy dissipation and moment redistribution as required. If one wishes to be uniformly conservative across all of the design variables, curvature ductility and moment redistribution factor should be calculated using a probabilistic method, as is the case for other design parameters in reinforced concrete mechanics. In this study, simple expressions are derived for the evaluation of curvature ductility and moment redistribution factor, based on the concept of demand and capacity rotation. Probabilistic models are then derived for both the curvature ductility and the moment redistribution factor, by means of central limit theorem and through taking advantage of the specific behaviour of moment redistribution factor as a function of curvature ductility and plastic hinge length. The Monte Carlo Simulation (MCS) method is used to check and verify the results of the proposed method. Although some minor simplifications are made in the proposed method, there is a very good agreement between the MCS and the proposed method. The proposed method could be used in any future probabilistic evaluation of curvature ductility and moment redistribution factors.

• 콘크리트학회논문집
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• 제25권3호
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• pp.283-294
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• 2013

콘크리트 및 철근의 강도는 철근콘크리트 부재의 휨거동 및 연성에 많은 영향을 주며, 설계기준에서는 항복강도가 600 MPa인 고강도 철근의 사용이 허용되고 있다. 고강도 콘크리트가 RC부재의 휨거동에 미치는 영향에 대해서는 많은 연구가 진행되었으나, 고강도 철근에 대해서는 연구가 미흡한 실정이다. 이 연구에서는 고강도 콘크리트 및 철근을 사용한 직사각형 단면 RC 보 단면의 모멘트-곡률 관계를 해석적 방법으로 구하여 다양한 철근 배치 조건하에서 콘크리트 및 철근의 강도가 부재의 휨거동 및 곡률연성지수에 미치는 영향을 분석하였다. 부재의 철근 배치조건에 따라 콘크리트와 철근의 강도가 부재의 휨거동 및 연성지수에 미치는 영향은 다르게 나타났다. 공칭모멘트가 동일한 단면에서는 철근의 항복강도가 400 MPa에서 600 MPa로 증가하면 연성지수는 30% 이상 감소하고, 콘크리트 압축강도가 30 MPa에서 70 MPa로 증가하면 연성지수는 약 3배 증가하였다.

• Structural Engineering and Mechanics
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• 제80권5호
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• pp.585-594
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• 2021

Ductility is very important parameter in seismic design of RC members such as beams where it allows RC beams to dissipate the seismic energy. In this field, the curvature ductility has taken a large part of interest compared to the deflection ductility. For this reason, the present paper aims to propose a general formula for predicting the deflection ductility factor of RC beams under mid-span load. Firstly, the moment area theorem is used to develop a model in order to calculate the yield and the ultimate deflections; then this model is validated by using some results extracted from previous researches. Secondly, a general formula of deflection ductility factor is written based on the developed deflection expressions. The new formula is depended on curvature ductility factor, beam length, and plastic hinge length. To facilitate the use of this formula, a parametric study on the curvature ductility factor is conducted in order to write it in simple manner without the need for curvature calculations. Therefore, the deflection ductility factor can be directly calculated based on beam length, plastic hinge length, concrete strength, reinforcement ratios, and yield strength of steel reinforcement. Finally, the new formula of deflection ductility factor is compared with the model previously developed based on the moment area theorem. The results show the good performance of the new formula.

• 생명과학회지
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• 제16권5호
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• pp.859-865
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• 2006

옥수수(Zea mays) 자엽초 박편을 분리하여 완충용액에 띄워 배양하면 조직 내부와 외부 사이의 장력 차이에 의하여 밖으로 굽어진다. 그러나 외부에서 옥신을 처리하면 안으로 굽어지는 반응이 나타나는데, 그 반응 정도는 옥신 농도에 따라 변화하였다. 본 연구에서는 옥신에 의하여 자엽초 박편이 안으로 굽어지는 현상을 옥신과 함께 작용하는 물질들을 선별하기 위한 실험에 이용하였다. 옥수수 자엽초의 메탄올 추출물로부터, 옥신에 의해 안으로 굽어지는 자엽초 박편의 반응을 촉진하는 활성을 발견하였다. 이러한 촉진 활성은 에너지원과 관련된 현상은 아니었다. 활성물질은 pH 10과 같은 높은 pH에서도 $C_{18}$ 컬럼에 흡착되어 메탄올로 용리되었으며, 50% 메탄올과 80% 메탄올에 의하여 용리되는 두 가지 물질을 발견하고 각각 Curvature-Enhancing Factor-1 (CEF-1)과 Curvature-Enhancing Factor-2 (CEF-2)라 명명하였다. 그중 CEF-2의 HPLC를 이용한 분리 조건이 확립되었다.

• Journal of Korean Neurosurgical Society
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• 제52권5호
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• pp.447-451
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• 2012

Objective : To characterize the importance of the vertical angle of the sacral curvature (VASC) in lumbar disc herniations. Methods : Morphological data derived from lumbar sagittal MRI imaging. The statistical significance of the findings are discussed. The angles of 60 female patients with lumbar disc herniations (LDH) were compared with the 34 female patients without LDH. Results : 128 of the 185 patients met our inclusion criteria. The vertical angle of sacral curvature is statistically significantly bigger in females with lumbar disc herniations when compared to subjects in control group, 28.32 and 25.4, respectively. (p=0.034<0.05). Same difference was not seen in males. Conclusion : The vertical angle of sagittal sacral curvature may be another risk factor in females with lumbar disc herniations.

• Computers and Concrete
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• 제16권3호
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• pp.399-414
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• 2015

Nowadays, fiber reinforced polymer (FRP) composites are widely used for rehabilitation, repair and strengthening of reinforced concrete (RC) structures. Also, recent advances in concrete technology have led to the production of high strength concrete, HSC. Such concrete due to its very high compression strength is less ductile; so in seismic areas, ductility is an important factor in design of HSC members (especially FRP strengthened members) under flexure. In this study, the Adaptive Neuro-Fuzzy Inference System (ANFIS) and multiple regression analysis are used to predict the curvature ductility factor of FRP strengthened reinforced HSC (RHSC) beams. Also, the effects of concrete strength, steel reinforcement ratio and externally reinforcement (FRP) stiffness on the complete moment-curvature behavior and the curvature ductility factor of the FRP strengthened RHSC beams are evaluated using the analytical approach. Results indicate that the predictions of ANFIS and multiple regression models for the curvature ductility factor are accurate to within -0.22% and 1.87% error for practical applications respectively. Finally, the effects of height to wide ratio (h/b) of the cross section on the proposed models are investigated.

• Structural Engineering and Mechanics
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• 제58권1호
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• pp.1-19
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• 2016

Recently, the high-strength concrete is increasingly used in the construction of reinforced concrete structures due to its benefits, but this use is influenced negatively on the local ductility of structural elements. The objective of this study is the prediction of a new approach to evaluate the curvature ductility factor of high strength concrete beams according to Eurocode 2. After the presentation of the Constitutive laws of materials and the evaluation method of curvature ductility according to the Eurocode 2, we conduct a parametric study on the factors influencing the curvature ductility of inflected sections. The calibrating of the obtained results allows predicting a very simple approach for estimating the curvature ductility factor. The proposed formula allows to calculate the curvature ductility factor of high strength concrete beams directly according to the concrete strength $f_{ck}$, the yield strength of steel $f_{yk}$ and the ratio of tension and compression reinforcements ${\rho}$ and ${\rho}^{\prime}$ respectively, this proposed formula is validated by theoretical and experimental results of different researchers.

• 한국산학기술학회논문지
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• 제14권12호
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• pp.6542-6549
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• 2013

콘크리트 구조물이 대형화됨에 따라 고교각, 장지간의 보 등 부재가 장대화되고 있으며, 장지간의 철근콘크리트 부재에서는 자중을 줄이고 강성을 증가시키기 위해 속빈 단면을 사용하는 것이 증가하는 추세이다. 본 연구에서는 철근콘크리트 속빈 단면 보의 모멘트-곡률 관계를 해석적 방법으로 구하여 속빈 부분의 크기, 상부플랜지와 복부의 철근 배치조건이 부재의 휨거동 및 곡률연성지수에 미치는 영향을 분석하였다. 속빈 부분의 크기($b_i/b_o$ 또는 $h_i/h_o$)가 0.5이하일 때에는 곡률연성지수가 일정하게 유지되며, 0.7이상이 되면 곡률연성지수가 급격히 감소하였다. 또한, 복부에 철근을 배치하면 곡률연성지수가 감소하며 단철근 보에서와 같은 수준의 연성지수를 얻기 위해서는 복부에 배치한 철근과 같은 양을 상부플랜지에 배치해야 하는 것으로 나타났다.