• Computers and Concrete
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• 제19권6호
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• pp.631-639
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• 2017

This study experimentally investigated the flexural capacity of a concrete beam reinforced with a newly developed GFRP bar that overcomes the lower modulus of elasticity and bond strength compared to a steel bar. The GFRP bar was fabricated by thermosetting a braided pultrusion process to form the outer fiber ribs. The mechanical properties of the modulus of elasticity and bond strength were enhanced compared with those of commercial GFRP bars. In the four-point bending test results, all specimens failed according to the intended failure mode due to flexural design in compliance with ACI 440.1R-15. The effects of the reinforcement ratio and concrete compressive strength were investigated. Equations from the code were used to predict the deflection, and they overestimated the deflection compared with the experimental results. A modified model using two coefficients was developed to provide much better predictive ability, even when the effective moment of inertia was less than the theoretical $I_{cr}$. The deformability of the test beams satisfied the specified value of 4.0 in compliance with CSA S6-10. A modified effective moment of inertia with two correction factors was proposed and it could provide much better predictability in prediction even at the effective moment of inertia less than that of theoretical cracked moment of inertia.

• Structural Engineering and Mechanics
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• 제10권5호
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• pp.463-478
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• 2000

An iterative procedure for the analysis of reinforced concrete frames with beams in cracked state is presented. ACI and CEB model equations are used for the effective moment of inertia of the cracked members. In the analysis, shear deformations are taken into account and reduced shear stiffness is considered by using effective shear modulus models available in the literature. Based on the aforementioned procedure, a computer program has been developed. The results of the computer program have been compared with the experimental results available in the literature and found to be in good agreement. Finally, a parametric study is carried out on a two story reinforced concrete frame.

• Structural Engineering and Mechanics
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• 제38권4호
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• pp.459-477
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• 2011

Due to the low elastic modulus of FRP, concrete members reinforced with FRP rebars show greater deflections than members reinforced with steel rebars. Deflection is one of the important factors to consider the serviceability of horizontal members. In this study flexural test of AFRP reinforced concrete beams was performed considering reinforcement ratio and compressive strength as parameters. The test results indicated that flexural capacity and stiffness increase in proportion to the reinforcement ratio. The test results were compared with existing proposed equations for the effective moment of inertia including ACI 440. The most of the proposed equations were found to over-estimate the effective moment of inertia while the equation proposed by Bischoff and Scanlon (2007) most accurately predicted the values obtained through actual testing.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2002년도 가을 학술발표회 논문집
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• pp.397-400
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• 2002

The mechanical properties of concrete such as modulus of elasticity, bond strength and shear strength are proportional to square root of compressive strength. And compressive strength of concrete is developed rapidly at early ages. Thus the relationship between compressive strength and its mechanical properties should be verified because the mechanical properties of early age concrete and hardened concrete are different. In this study, to predict the concrete slab deflection at early ages, modulus of elasticity and effective moment of inertia(Ie) are observed and compared with experimental results.

• 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.

• 한국산학기술학회논문지
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• 제12권2호
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• pp.936-943
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• 2011

ACI 440.1R-06 설계지침에서는 FRP-보강근 콘크리트 부재의 처짐 계산을 위해 Branson에 의해 제안된 유효단면2차모멘트를 수정 보완하여 제시하고 있다. 그러나 다수의 연구자들은 아직까지도 적용범위의 적절성에 대해 의문점을 제기하고 있다. 이에 본 연구에서는 12개의 장방형 단면과 9개의 T형단면의 FRP-보강근 콘크리트 시험체를 제작하여 처짐 실험을 통해 얻어지는 실험값과 제안된 이론식에 의해 얻어진 계산값을 비교 분석하여 합리적인 처짐설계를 위한 기초자료를 제안하고자 하였다. 결과로서 FRP-보강근 콘크리트 보의 처짐값은 장방형단면에서는 계산값이 실험값 보다 과소평가 되었으나, T형단면에서는 계산값이 실험값 보다 다소 과대평가 되어 나타났다.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2006년도 춘계학술발표회 논문집(I)
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• pp.114-117
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• 2006

Concrete beams reinforced with fiber reinforced polymer (FRP) bars exhibit large deflection and crack width as compared to concrete beams reinforced steel due to modulus of elasticity of FRP bars. Current design code for prediction and crack width developed in concrete structures reinforced with steel bars may not be used for concrete beams reinforced with FRP bars. Thus a number of researcher have attempted to propose modifications to the ACI 318 empirical equation for estimating the effective moment of inertia of reinforced concrete beams. Others used numerical method to calculate the deflection. The purpose of this paper is to evaluation of methods of ACI 440.1 R-01, ISIS Canada design manual, and others for predicting deflection for glass fiber reinforced polymer reinforced concrete beams.

• Smart Structures and Systems
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• 제26권3호
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• pp.361-371
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• 2020

Exact solution for nonlinear behavior of clamped-clamped functionally graded (FG) buckled beams is presented. The effective material properties are considered to vary along the thickness direction according to exponential-law form. The in-plane inertia and damping are neglected, and hence the governing equations are reduced to a single nonlinear fourth-order partial-integral-differential equation. The von Kármán geometric nonlinearity has been considered in the formulation. Galerkin procedure is used to obtain a second order nonlinear ordinary equation with quadratic and cubic nonlinear terms. Based on the mode of the corresponding linear problem, which readily satisfy the boundary conditions, the frequencies for the nonlinear problem are obtained using the Jacobi elliptic functions. The effects of various parameters such as the Young's modulus ratio, the beam slenderness ratio, the vibration amplitude and the magnitude of axial load on the nonlinear behavior are examined.

• 콘크리트학회논문집
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• 제20권2호
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• pp.185-191
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• 2008

최근 콘크리트 열화와 같은 문제를 근본적으로 해결하기 위해 고내구성을 보유한 콘크리트구조물의 장수명화에 대한 연구가 활발히 진행되고 있는 가운데, 신설 구조물로의 철근대체 FRP rebar를 적용한 고내구성 콘크리트구조물에 대한 연구 개발 및 활용이 점차 증가되는 추세이다. 이에 대해 콘크리트구조물의 경제적인 측면에서 적용 가능한 FRP rebar로서는 GFRP rebar가 주목을 받고 있으며 그 사용성 또한 증대되고 있다. 하지만 GFRP rebar로 보강된 콘크리트구조물에 대한 휨모멘트 성능은 이미 그 우수성이 구명되어 있으나 GFRP의 단점 중 하나인 처짐에 대한 사용성 측면은 개선되어야 할 점으로 지적되고 있다. 본 연구에서는 개발된 이형 GFRP rebar로 보강 콘크리트 보 구조물의 처짐 거동 예측을 위해 기존의 유효단면이차모멘트 제안식들과 비교 분석을 실시하였으며, 그 결과 기존의 유효단면이차모멘트 산정식은 균열모멘트 이후 극한모멘트의 50% 수준까지의 유효단면이차모멘트는 비교적 정확히 예상할 수 있었으나 이후에는 실제 유효단면이차모멘트보다 다소 높은 값을 나타냄으로써 최종 파괴시까지의 처짐량을 과소평가하는 것으로 분석되었다. 따라서 본 연구에서는 탄성계수 환산비를 적용한 보강비를 사용한 Toutanji et al. (2000)의 유효단면이차모멘트 제안식을 바탕으로 이형 GFRP rebar로 보강된 콘크리트보에 대한 유효단면이차모멘트 제안식을 도출하였으며, 그 결과 제안된 식을 적용하여 각 시험체의 시험데이터와 비교 분석을 통하여 최종 파괴시까지의 하중-처짐 관계를 비교적 정확히 예측할 수 있는 것으로 분석되었다.

• 한국지진공학회논문집
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• 제14권1호
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• pp.43-50
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• 2010

철근의 부식을 해결하기 위해 철근의 대체 재료로 적용 가능한 FRP에 대한 연구의 적용성이 대두되었다. 그러나 취성적인 성질과 탄성계수가 낮은 단점을 가지고 있어, FRP rebar로 보강된 휨 부재의 사용성 평가 즉 처짐에 대한 연구가 필요하다. 본 연구에서는 보강비를 변수로 한, CFRP rebar로 보강된 콘크리트 보의 휨 실험을 수행하였다. 실험 결과, CFRP rebar로 보강된 실험체는 보강비가 증가함에 따라 내력 및 강성이 증가하는 양상을 보였으며, 철근 실험체와 동일한 단면성능을 발휘하기 위해서는 약 1.3배의 보강비가 요구되는 것으로 나타났다. 또한 유효단면2차모멘트에 대한 기존 제안식의 비교 결과, Bischoff & Scanlon이 제안한 식이 가장 정밀해에 가까운 처짐을 예측하였다.