• 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.

• Computers and Concrete
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• 제20권2호
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• pp.129-143
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• 2017

Seismic design of reinforced concrete (RC) structures requires a certain minimum level of flexural ductility. For example, Eurocode EN1998-1 directly specifies a minimum flexural ductility for RC beams, while Chinese code GB50011 limits the equivalent rectangular stress block depth ratio at peak resisting moment to achieve a certain nominal minimum flexural ductility indirectly. Although confinement is effective in improving the ductility of RC beams, most design codes do not provide any guidelines due to the lack of a suitable theory. In this study, the confinement for desirable flexural ductility performance of both normal- and high-strength concrete beams is evaluated based on a rigorous full-range moment-curvature analysis. An effective strategy is proposed for flexural ductility design of RC beams taking into account confinement. The key parameters considered include the maximum difference of tension and compression reinforcement ratios, and maximum neutral axis depth ratio at peak resisting moment. Empirical formulae and tables are then developed to provide guidelines accordingly.

• 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.

• 콘크리트학회논문집
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• 제11권3호
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• pp.131-140
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• 1999

This paper presents a study on the flexural ductility of reinforced concrete beams, 16beams with different concrete strength, reinforcement ratio, reinfo- rcement strength. For the purpose of inducing flexural failure, the reinforce ratio ($\rho$-$\rho$') was made not to be more than $0.75\rho$b in accordance with ACi code 318-89. From the test results, it is found that in case of a concrete strength increased from 240 to 650kg/$\textrm{cm}^2$, the displacement and curvature ductility factore are increased by about 31-231 percents. And also increased in case of increased from 650 to 900kg/$\textrm{cm}^2$, but the increasing ratio is gradually decreasing accoding to a concrete strength increases. And also found that as the Double Re-bar Ratio (($\rho$-$\rho$')/$\rho$b) increases, so the displacement and curvature ductility ratio would decrease, but in case of increased from 650 to /$900kg\textrm{cm}^2$ the decreasing ration is bigger than in case of increased from 240 to $650kg/\textrm{cm}^2$.

• Structural Engineering and Mechanics
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• 제12권5호
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• pp.459-474
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• 2001

The complete moment-curvature curves of doubly reinforced concrete beams made of normal- or high-strength concrete have been evaluated using a newly developed analytical method that takes into account the stress-path dependence of the constitutive properties of the materials. From the moment-curvature curves and the strain distribution results obtained, the post-peak behavior and flexural ductility of doubly reinforced normal- and high-strength concrete beam sections are studied. It is found that the major factors affecting the flexural ductility of reinforced concrete beam sections are the tension steel ratio, compression steel ratio and concrete grade. Generally, the flexural ductility decreases as the amount of tension reinforcement increases, but increases as the amount of compression reinforcement increases. However, the effect of the concrete grade on flexural ductility is fairly complicated, as will be explained in the paper. Quantitative analysis of such effects has been carried out and a formula for direct evaluation of the flexural ductility of doubly reinforced concrete sections developed. The formula should be useful for the ductility design of doubly reinforced normal- and high-strength concrete beams.

• Computers and Concrete
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• 제6권6호
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• pp.451-472
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• 2009

Based on a numerical method to analyse the full-range behaviour of prestressed concrete beams with unbonded tendons, parametric studies are carried out to investigate the influence of 11 parameters on the curvature ductility of unbonded prestressed concrete (UPC) beams. It is found that, among various parameters studied, the depth to prestressing tendons, depth to non-prestressed tension steel, partial prestressing ratio, yield strength of non-prestressed tension steel and concrete compressive strength have substantial effects on the curvature ductility. Although the curvature ductility of UPC beams is affected by a large number of factors, rather simple equations can be formulated for reasonably accurate estimation of curvature ductility. Conversion factors are introduced to cope with the difference in partial safety factors, shapes of equivalent stress blocks and the equations to predict the ultimate tendon stress in BS8110, EC2 and ACI318. The same equations can also be used to provide conservative estimates of ductility of UPC beams with compression steel.

• 콘크리트학회논문집
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• 제13권6호
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• pp.553-560
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• 2001

철근콘크리트 휨부재의 비탄성해석 및 설계를 위해서는 연성능력의 평가가 필요하며, 이를 위해서는 모멘트-곡률 관계가 정의되어야 한다. 따라서, 본 연구에서는 모멘트 곡률관계를 가정하여 철근콘크리트 휨부재의 연성능력을 해석적 방법으로 구하고, 실험결과와 비교한 결과, 실험값과 해석값은 거의 일치하였으므로 가정한 모멘트-곡률관계는 적합한 것으로 판명 되었다. 또한, 연성률은 곡률연성, 회전연성, 변위연성을 비교하였으며, 철근콘크리트 휨부재의 연성능력에 주로 영향을 미치는 요소는 인장철근, 압축철근 및 휨보강근으로 보고, 실험값과 해석값을 다양하게 분석한 결과 ($\rho$$_{s}$ ＋ $\rho$')/$\rho$의 항으로 연성능력을 나타냄이 적절한 것으로 나타났다.

• 한국지진공학회논문집
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• 제7권4호
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• pp.51-61
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• 2003

본 연구는 철근콘크리트 교각에 대한 새로운 내진설계법을 개발하기 위한 연구의 일환으로서, 축력과 함께 반복 횡하증을 받는 철근콘크리트 교각의 곡률연성도와 변위연성도의 상관관계를 분석하고 연성도 상관관계식을 제시함을 목적으로 한다. 이를 위하여, 반복하중을 받는 철근콘크리트 기둥의 횡하중-변위 포락곡선 실험결과를 비교적 정확하게 예측하며, 특히 변형능력 및 연성도에 대하여는 실험결과에 비하여 안전측의 결과를 제공하는 비선형해석 프로그램(NARCC)를 이용하였다. 해석의 대상 교각으로는, 단면지름, 형상비, 콘크리트 강도, 축방향철근 항복강도, 심부구속철근 항복강도, 축방향철근비, 축력비, 심부구속철근비 등을 주요변수로 하여, 총 7,200개의 철근콘크리트 나선철근 기둥 모델을 채택하였으며, 세 가지 항복변위의 기준을 적용하여 총 21,600개의 해석결과자료를 대상으로 상관관계를 분석하여 형상비를 주요변수로 한 곡률연성도와 변위연성도의 상관관계식을 제안하였다.

• Structural Engineering and Mechanics
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• 제89권6호
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• pp.579-588
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• 2024

The present paper investigates the curvature ductility of confined reinforced concrete (RC) beams with normal (NSC) and high strength concrete (HSC). For the purpose of predicting the curvature ductility factor, an analytical model was developed based on the equilibrium of internal forces of confined concrete and reinforcement. In this context, the curvatures were calculated at first yielding of tension reinforcement and at ultimate when the confined concrete strain reaches the ultimate value. To best simulate the situation of confined RC beams in flexure, a modified version of an ancient confined concrete model was adopted for this study. In order to show the accuracy of the proposed model, an experimental database was collected from the literature. The statistical comparison between experimental and predicted results showed that the proposed model has a good performance. Then, the data generated from the validated theoretical model were used to train the artificial neural network (ANN) prediction model. The R² values for theoretical and experimental results are equal to 0.98 and 0.95, respectively which proves the high performance of the ANN model. Finally, a parametric study was implemented to analyze the effect of different parameters on the curvature ductility factor using theoretical and ANN models. The results are similar to those extracted from experiments, where the concrete strength, the compression reinforcement ratio, the yield strength, and the volumetric ratio of transverse reinforcement have a positive effect. In contrast, the ratio and the yield strength of tension reinforcement have a negative effect.

• 한국지진공학회논문집
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• 제8권3호
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• pp.1-12
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• 2004

1989년 로마프리타지진 및 1995년 효고현 남부지진등 많은 교각에서 휨-전단 파괴에 의한 피해가 발생하였다. 그럼에도 불구하고 지금까지의 교각의 내진성능에 관한 연구는 대부분 휨파괴에 대한 연구가 지배적이었다. RC 교각의 내진성능은 교각의 소성힌지구간의 성능에 좌우되고 있으며, 소성힌지의 연성은 곡률에 의해 평가하는 것이 바람직하다. 실험연구는 지진하중의 손상을 입은 RC교각의 휨전단거동에 관한 소성힌지구간 내의 곡률변화를 평가하였다. 실험에 사용된 7기의 실험체는 형상비 2.5에 횡방향 구속력, 주철근의 겹침이음 그리고 섬유보강을 변수로 가지고 있다. 이 실험체는 유사동적실험 수행을 통해 손상을 주었으며, 유사동적실험 후에는 일정한 축력,$P=0.1f_{ck}A_g$을 유지하면서 변위제어방식으로 유사정적실험을 실시하여 잔류내진성능을 평가하였다. 실험 결과 기초에서 15cm 구간에 가장 큰 곡률이 발생하였으며 파괴도 이 단면에 집중되었다. 또한, 연성도 분석결과 주철근이 겹침이음 된 RC 교각이 낮은 곡률연성도를 보였으며, 이를 섬유보강한 실험체의 휨강성과 곡률연성도는 현저히 개선되었다. 그리고, 교각의 곡률변화를 분석하여 횡구속력을 고려한 등가소성힌지길이 산정식을 제안하였으며, 이 제안된 식을 적용하여 변위연성도와 곡률연성도 관계를 분석하였다.