• Structural Engineering and Mechanics
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• 제15권2호
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• pp.159-180
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• 2003

In this paper spacing and width of flexural cracks in reinforced concrete beams are determined using two-dimensional finite element analysis. At early loading stages on the beam the primary crack spacing is based on the slip length, which is the development length required to resist the steel stress increment that occurs at a cracked section on the formation of the first flexural crack. A semi-empirical formula is presented in this paper for the determination of the slip length for a given beam. At higher load levels, the crack spacing is based on critical crack spacing, which is defined as the particular crack spacing that would produce a concrete tensile stress equal to the flexural strength of concrete. The resulting crack width is calculated as the relative difference in extensions of steel reinforcement and adjacent concrete evaluated at the cracked section. Finally a comparative study is undertaken, which indicates that the spacing and width of cracks calculated by this method agree well with values measured by other investigators.

• 한국도로학회논문집
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• 제18권2호
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• pp.43-49
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• 2016

PURPOSES : The field application and performance of continuously reinforced concrete pavement (CRCP), constructed by using the mechanical tube-feeding method, are evaluated in this study. METHODS: The location of the rebar was evaluated by using the MIRA system. The early-age CRCP performance was evaluated via visual survey, in which the crack spacing and crack width were examined. RESULTS: The location of longitudinal reinforcing bars was evaluated via MIRA testing and the results showed that the longitudinal rebars all lie within a given tolerance limit (${\pm}2.5cm$) of the target elevation. In addition, owing to the low temperature when the concrete was pured, the crack spacing in the Dae-Gu direction is slightly wider than that of the Gwang-Ju direction. Almost all of the crack spacings lay within the range of 1.0 m~3.0 m. A crack width of <0.3 mm was measured at the pavement surface. However, as revealed by the field survey, the crack spacing was not correlated with the crack width. CONCLUSIONS : In CRCP constructed by using the mechanical tube-feeding method, almost all of the longitudinal reinforcing bars lay within the tolerance limit (2.5 cm) of the target elevation. The concrete-placing temperature affects the crack spacing, owing to variations in the zero-stress temperature. Crack survey results show that there is no correlation between the crack spacing and crack width in CRCP.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2002년도 봄 학술발표회 논문집
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• pp.227-232
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• 2002

This paper describes a calculation of an average crack spacing and the maximum crack width for the high-strength concrete tensile and flexural members. Based on the uniform bond stress distribution of the average steel and concrete strains over the transfer length, the crack spacing and the crack width are proposed to utilize influence of the concrete strength and the cover thickness. This analytical results presented in this paper indicate that the proposed equations can be more effectively estimated the maximum crack width and the average crack spacing of the reinforced concrete flexural and tensile members.

• 대한토목학회논문집
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• 제38권2호
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• pp.193-202
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• 2018

이 연구는 철근콘크리트 부재에서 사용한계상태 검증 및 내구성능 평가의 요소인 균열폭을 계산하는데 중요한 변수가 되는 균열간격 계산식을 제안한 것이다. 철근콘크리트 부재의 균열거동 해석을 위한 지배방정식이 되는 부착특성을 반영하여 평균균열간격 기본식을 유도하고, 피복두께와 콘크리트 강도의 영향을 고려할 수 있도록 여러 연구자들이 수행한 124개의 직접인장실험에서 측정된 균열간격을 분석하여 각각의 계수를 제안하였다. 그리고, 최대 및 평균 균열간격이 동시에 측정된 80개의 실험체 자료로부터 상관관계 분석을 실시하여 평균균열간격으로부터 최대 균열간격을 간편하게 예측할 수 있는 상관계수를 제안하였다. 제안된 평균균열간격 계산식 및 최대균열간격 상관식에 대해서 현행 설계기준의 규정과 비교를 실시하였다. 비교 결과, 평균균열간격 및 최대균열간격에 대한 제안식은 콘크리트구조기준 및 도로교설계기준(한계상태설계법)의 해당 규정과 비교하여 예측의 정확성 및 신뢰도가 개선됨을 확인하였다.

• 한국도로학회논문집
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• 제18권3호
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• pp.75-86
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• 2016

PURPOSES : The purpose of this study is to investigate characteristics of crack spacing and crack width and their relationship in continuously reinforced concrete pavement (CRCP) based on the data obtained from long-term field observations. METHODS : The crack spacings and crack widths are measured periodically over 10 years at two different CRCP sections: one with asphalt bond breaker beneath concrete slab, and the other with bonded lean concrete base beneath concrete slab. The effects of steel ratio, type of underlying layer, terminal treatment method, and seasonal temperature change on the crack characteristics are evaluated by analyzing the measured data. RESULTS : The CRCP with lean concrete base shows smaller crack spacings than those of the CRCP with asphalt bond breaker. As the steel ratio increases, both the crack spacing and crack width tend to decrease. The crack width becomes larger as the crack age increases, but once the crack age is over a certain value the crack width tends to converge. When the terminal anchor lug system is not used and the expansion joints are employed at the terminals, the crack spacings and crack widths increase near the terminal sections. The crack spacing and crack width seem to be proportional each other, but not necessarily linearly, and their relationship is more distinguished in the summer when the crack widths become smaller. CONCLUSIONS : The steel ratio, underlying layer type, terminal treatment method, and seasonal temperature change affect the characteristics of cracks and the crack spacing and crack width are related to each other.

• 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.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2000년도 가을 학술발표회논문집(I)
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• pp.105-108
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• 2000

With exact analysis of cracks in RC beam, present or past stress states can be traced. For analysis of Flexural cracks, experiments are carried out focusing on variation of crack widths and crack spacing due to stress, beam properties. The crack width expectation formulas of each code are compared and initial crack spacing expectation formula is proposed.

• 콘크리트학회지
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• 제9권4호
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• pp.207-214
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• 1997

본 연구는변형구속에 의해 생기는 축력이 철근콘크리트 휨부재의 역학적 거동과 평균 균열간격에 미치는 영향을 검토하기 위해 수행되었다. 이를 위하여 변형구속 및 무구속 조건하에서의 휨강도와 휨강성을 실험으로 구하였으며, 또한 축방향 구속을 받는 휨부재의 평균 균열간격을 예측하는 식을 제안하였다.

• Structural Engineering and Mechanics
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• 제83권4호
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• pp.495-513
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• 2022

This paper aims to study the fracture mechanism of rocks under the 'u'shape cutters considering the effects of crack (pre-existing crack) distances, crack spacing and crack inclination angles. The effects of loading rates on the rock fragmentation underneath these cutters have been also studied. For this purpose, nine experimental samples with dimensions of 5 cm×10 cm×10 cm consisting of the non-persistent cracks were prepared. The first three specimens' sets had one non-persistent crack (pre-existing crack) with a length of 2 cm and angularity of 0°, 45°, and 90°. The spacing between the crack and the "u" shape cutter was 2 cm. The second three specimens" set had one non-persistent crack with a length of 2 cm and angularity of 0°, 45°, and 90° but the spacing between pre-existing crack and the "u" shape cutter was 4 cm. The third three specimens'set has two non-persistent cracks with lengths of 2 cm and angularity of 0°, 45° and 90°. The spacing between the upper crack and the "u" shape cutter was 2 cm and the spacing between the lower crack and the upper crack was 2 cm. The samples were tested under a loading rate of 0.005 mm/s. concurrent with the experimental investigation. The numerical simulations were performed on the modeled samples with non-persistent cracks using PFC2D. These models were tested under three different loading rates of 0.005 mm/s, 0.01 mm/sec and 0.02 mm/sec. These results show that the crack number, crack spacing, crack angularity, and loading rate has important effects on the crack growth mechanism in the rocks underneath the "u" shape cutters. In addition, the failure modes and the fracture patterns in the experimental tests and numerical simulations are similar to one another showing the validity and accuracy of the current study.

• 한국산학기술학회논문지
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• 제19권5호
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• pp.98-105
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• 2018

철근 콘크리트 부재에서 균열은 구조적 요인 뿐만 아니라 재료적 인자에 의해서도 발생한다. 이러한 균열의 크기와 발생 위치를 파악하는 것은 매우 어렵다. 도로교설계기준(한계상태설계법)과 콘크리트구조기준(2012)에서는 균열을 제어하기 위해 직접균열제어 방법과 간접균열제어 방법을 제시하였다. 콘크리트구조기준 본문에서는 사용하중 하에서 철근 간격을 사용하여 간접적으로 균열을 제어한다. 이에 반해, 콘크리트구조기준 부록에서는 지속하중 하에서 균열폭을 통해 직접적으로 균열을 제어한다. 즉, 균열 제어를 위해 고려하는 하중 상태가 상이하다. 그러나 도로교설계기준에서는 사용하중조합에서 균열을 제어하고, 유효탄성계수를 사용하고 있다. 따라서 이 연구에서는 고정 하중과 활하중의 비율을 반영할 수 있는 유효탄성계수를 적용한 설계 균열폭으로부터 최대철근간격을 산정하였다. 그리고 변수 해석을 수행하여 합리적인 균열 검증 방법에 대하여 모색하였다. 해석 결과 콘크리트구조기준으로부터 유도된 철근 간격은 도로교설계기준으로부터 유도된 값보다 작아 보수적인 설계를 유도하였다. 또한, 이 연구에서 제시한 최대철근간격은 직접균열제어와 간접균열제어 사이의 차이를 제거하여 해석의 일관성을 확보할 수 있는 것으로 판단된다.