• Structural Engineering and Mechanics
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• 제12권1호
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• pp.1-16
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• 2001

A reliable and accurate method has been developed to predict the flexural deformation response of structural concrete members subject to service load. The method that has been developed relates the extent of concrete cracking, measured as a function of the magnitude of applied moment in a member, to the reduction in the effective moment of inertia of cracked reinforced concrete members under service load conditions. The ratio of the area of the moment diagram where the moment exceeds the cracking moment, to the total area of the moment diagram for any loading, provides the basis for the calculation of the effective moment of inertia. This ratio also represents mathematically a probability of crack occurrence. Verification of this method for the determination of the effective moment of inertia has been achieved from an experimental test program, and has included beam tests with different loading configurations, and shear wall tests subjected to a range of vertical and lateral load levels. Further verification of this method has been made with reference to the experimental investigation of other recently published work.

• 콘크리트학회논문집
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• 제20권3호
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• pp.393-404
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• 2008

철근콘크리트 휨 부재에서 현행 설계기준들의 처짐 계산 규정은 콘크리트의 균열 후 보의 휨강성이 감소하는 것을 반영한 유효 단면2차모멘트의 개념을 적용하고 있다. 그러나 기준식의 유효 단면2차모멘트는 하중을 받는 보의 최대 모멘트와 균열모멘트에 의하여 계산하며, 처짐에 영향을 미치는 경간, 단부구속, 단면의 크기, 하중 분포, 재료 및 단면 성질, 균열의 양과 확장 등의 여러 영향인자들에 대하여는 적절한 고려가 이루어지지 않았다. 따라서, 이 연구에서는 철근콘크리트 단순보를 대상으로 처짐 계산에 필요한 유효 단면2차모멘트에 대한 실험 자료를 제공하고, 국내 기준식 및 다른 연구자들의 제안식을 수정 보완하여 제안하는 것을 목적으로 하였다. 콘크리트강도와 피복두께, 철근비 및 철근 직경을 주요변수로 하여 총 14개의 철근콘크리트 보 실험체를 제작하였으며, 실험을 통하여 구한 유효 단면2차모멘트와 설계 기준에 의한 값, 기존의 제안식 및 본 연구에서 제안된 식에 의한 값들을 비교 분석하였다. 실험 결과를 바탕으로 균열 구간의 길이, 철근비 및 철근 한 개당 콘크리트의 유효 인장단면적을 고려하여 이 연구에서 제안한 유효 단면2차모멘트 예측식은 기존의 제안식들에 비하여 실험값에 더욱 근접한 결과를 나타내었다.

• Structural Engineering and Mechanics
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• 제67권2호
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• pp.155-163
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• 2018

The Early-age construction loading and changing properties of concrete, especially in the multi-story structures can affect the slab deflection, significantly. Based on previously conducted experiment on eight simply-supported one-way slabs this paper investigates the effect of concrete type, fiber type and content, loading value, cracking moment, ultimate moment and applied moment on the instantaneous deflection of Self-Compacting Concrete (SCC) slabs. Two distinct loading levels equal to 30% and 40% of the ultimate capacity of the slab section were applied on the slabs at the age of 14 days. A wide range of the existing models of the effective moment of inertia which are mainly developed for conventional concrete elements, were investigated. Comparison of the experimental deflection values with predictions of the existing models shows considerable differences between the recorded and estimated instantaneous deflection of SCC slabs. Calculated elastic deflection of slabs at the ages of 14 and 28 days were also compared with the experimental deflection of slabs. Based on sensitivity analysis of the effective parameters, a new model is proposed and verified to predict the effective moment of inertia in SCC slabs with and without fiber reinforcing under two different loading levels at the age of 14 days.

• Structural Engineering and Mechanics
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• 제24권5호
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• pp.601-620
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• 2006

The paper presents an effective stiffness model for deformational analysis of reinforced concrete cracked members in bending throughout the short-term loading up to the near failure. The method generally involves the analytical derivation of an effective moment of inertia based on the smeared crack technique. The method, in a simplified way, enables us to take into account the non linear properties of concrete, the effects of cracking and tension stiffening. A statistical analysis has shown that proposed technique is of adequate accuracy of calculated and experimental deflections data provided for beams with small, average and normal reinforcement ratios.

• Computers and Concrete
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• 제9권2호
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• pp.133-151
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• 2012

This paper presents an analytical procedure for the analysis of high strength steel fiber reinforced concrete members considering the cracking effect in the serviceability loading range. Modifications to a previously proposed formula for the effective moment of inertia are presented. Shear deformation effect is also taken into account in the analysis, and the variation of shear stiffness in the cracked regions of members has been considered by reduced shear stiffness model. The effect of steel fibers on the behavior of reinforced concrete members have been investigated by the developed computer program based on the aforementioned procedure. The inclusion of steel fibers into high strength concrete beams and columns enhances the effective moment of inertia and consequently reduces the deflection reinforced concrete members. The contribution of the shear deformation to the total vertical deflection of the beams is found to be lower for beams with fibers than that of beams with no fibers. Verification of the proposed procedure has been confirmed from series of reinforced concrete beam and column tests available in the literature. The analytical procedure can provide an accurate and efficient prediction of deflections of high strength steel fiber reinforced concrete members due to cracking under service loads. This procedure also forms the basis for the three dimensional analysis of frames with steel fiber reinforced concrete members.

• Structural Engineering and Mechanics
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• 제39권2호
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• pp.241-266
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• 2011

The Self Compacting Concrete, SCC is the new generation type of concrete which is not needed to be compacted by vibrator and it will be compacted by its own weight. Since SCC is a new innovation and also the high strength self compacting concrete, HSSCC behavior is like a brittle material, therefore, understanding the strength effect on the serviceability performance of reinforced self compacting concretes is critical. For this aim, first the normal and high strength self compacting concrete, NSSCC and HSSCC was designed. Then, the serviceability performance of reinforced connections consisting of NSSCC and HSSCC were investigated. Twelve reinforced concrete connections (L = 3 m, b = 0.15 m, h = 0.3 m) were simulated, by this concretes, the maximum and minimum reinforcement ratios ${\rho}$ and ${\rho}^{\prime}$ (percentage of tensile and compressive steel reinforcement) are in accordance with the provision of the ACI-05 for conventional RC structures. This study was limited to the case of bending without axial load, utilizing simple connections loaded at mid span through a stub (b = 0.15 m, h = 0.3 m, L = 0.3 m) to simulate a beam-column connection. During the test, concrete and steel strains, deflections and crack widths were measured at different locations along each member. Based on the experimental readings and observations, the cracked moment of inertia ($I_{cr}$) of members was determined and the results were compared with some selective theoretical methods. Also, the flexural crack widths of the members were measured and the applicability for conventional vibrated concrete, as for ACI, BS and CSA code, was verified for SCCs members tested. A comparison between two Codes (ACI and CSA) for the theoretical values cracking moment is indicate that, irrespective of the concrete strength, for the specimens reported, the prediction values of two codes are almost equale. The experimental cracked moment of inertia $(I_{cr})_{\exp}$ is lower than its theoretical $(I_{cr})_{th}$ values, and therefore theoretically it is overestimated. Also, a general conclusion is that, by increasing the percentage of ${\rho}$, the value of $I_{cr}$ is increased.

• Computers and Concrete
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• 제14권2호
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• pp.109-125
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• 2014

The force transfer mechanism in positive moment continuity details for prestressed concrete girder bridges is investigated in this paper using a three-dimensional detailed finite element model. Positive moment reinforcement in the form of hairpin bars as recommended by the National Cooperative Highway Research Program Report No 519 is incorporated in the model. The cold construction joint that develops at the interface between girder ends and continuity diaphragms is also simulated via contact elements. The model is then subjected to the positive moment and corresponding shear forces that would develop over the service life of the bridge. The stress distribution in the continuity diaphragm and the axial force distribution in the hairpin bars are presented. It was found that due to the asymmetric configuration of the hairpin bars, asymmetric stress distribution develops at the continuity diaphragm, which can be exacerbated by other asymmetric factors such as skewed bridge configurations. It was also observed that when the joint is subjected to a positive moment, the tensile force is transferred from the girder end to the continuity diaphragm only through the hairpin bars due to the lack of contact between the both members at the construction joint. As a result, the stress distribution at girder ends was found to be concentrated around the hairpin bars influence area, rather than be resisted by the entire girder composite section. Finally, the results are used to develop an approach for estimating the cracking moment capacity at girder ends based on a proposed effective moment of inertia.

• 한국건설순환자원학회논문집
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• 제11권4호
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• pp.484-492
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• 2023

본 연구에서는 전기화학적 염화물 추출(ECE) 완료된 RC 보의 구조적 거동을 기존에 주로 사용되었던 부착 강도 측정이 아닌 3점 재하 시험을 통해 분석했다. 그 결과, ECE 처리에 의해 콘크리트 보의 휨 강성은 저하되었으나, 최대하중 측면에서 강도는 향상되는 것으로 나타났다. 또한, ECE에 의해 인장 변형률이 증가하여 인장 균열에 대한 저항성은 향상되었으며, 관성 모멘트 감소율은 감소하였다. 이러한 구조적 거동 측면의 이점에도 불구하고 연성 및 휨 강성은 저하되었다. 콘크리트보의 휨 강성은 선형 탄성 범위에서 유효 단면적의 손실로 인해 감소됐고, 실제로 인장변형에 의해 파손된 상태에서 단면 2차 모멘트는 약 70 %의 손실되었다. 그러나 이러한 단면 손실에 의한 관성 모멘트 감소율은 ECE에 의해 더 낮아졌는데, 이는 균열에 대한 저항성이 증가되는 반면, 변형량이 증가되어 사용성 측면에서의 위험성은 더 증가됨을 의미한다.

• 콘크리트학회논문집
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• 제21권6호
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• pp.797-804
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• 2009

테두리 보에 의한 휨강성이 확보되지 않은 철근콘크리트 플랫 플레이트의 구조설계는 강도 조건 뿐만 아니라 사용성에 의하여 지배받을 수 있다. 특히, 조기 재령 슬래브의 과하중 작용 및 균열 발생은 시공 중인 플랫 플레이트의 처짐을 크게 증가시키므로, 시공 순서 및 슬래브 처짐에 대한 영향은 플랫 플레이트 시스템 설계의 주요한 요소가 될 수 있다. 이 연구에서는 시공 순서 및 콘크리트 균열 효과를 고려한 슬래브 처짐 산정 과정을 제안한다. 시공단계 및 시공하중이 간편법에 의하여 정의되고, 각 시공단계별로 슬래브 모멘트 및 탄성 처짐, 유효단면2차모멘트가 계산된다. 주열대와 중간대에서의 탄성 처짐은 유효단면2차모멘트 효과에 의해 비탄성 처짐으로 증폭되며, 슬래브 중앙부 처짐은 교차보법에 의하여 산정된다. 제안된 방법은 기존 실험 결과 및 비선형 해석 결과와의 비교를 통하여 검증된다. 또한, 제안법의 적용을 통하여, 시공 중인 플랫 플레이트의 처짐에 대한 시공주기 및 동바리 지지 층 수의 영향이 분석된다.

• Structural Engineering and Mechanics
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• 제63권5호
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• pp.669-681
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• 2017

The design of reinforced concrete buildings must satisfy the serviceability stiffness criteria in terms of maximum lateral deflections and inter story drift in order to prevent both structural and non-structural damages. Consideration of plastic hinge formation is also important to obtain accurate failure mechanism and ultimate strength of reinforced concrete frames. In the present study, an iterative procedure has been developed for the analysis of reinforced concrete frames with cracked elements and consideration of plastic hinge formation. The ACI and probability-based effective stiffness models are used for the effective moment of inertia of cracked members. Shear deformation effect is also considered, and the variation of shear stiffness due to cracking is evaluated by reduced shear stiffness models available in the literature. The analytical procedure has been demonstrated through the application to three reinforced concrete frame examples available in the literature. It has been shown that the iterative analytical procedure can provide accurate and efficient predictions of deflections and ultimate strength of the frames studied under lateral and vertical loads. The proposed procedure is also efficient from the viewpoint of computational time and convergence rate. The developed technique was able to accurately predict the locations and sequential development of plastic hinges in frames. The results also show that shear deformation can contribute significantly to frame deflections.