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Analytical model for flexural and shear strength of normal and high-strength concrete beams

  • Campione, Giuseppe
    • Structural Engineering and Mechanics
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    • 제78권2호
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    • pp.199-207
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    • 2021
  • In the present paper, an analytical model is proposed to determine the flexural and shear strength of normal and high-strength reinforced concrete beams with longitudinal bars, in the presence of transverse stirrups. The model is based on evaluation of the resistance contribution due to beam and arch actions including interaction with stirrups. For the resistance contribution of the main bars in tension the residual bond adherence of steel bars, including the effect of stirrups and the crack spacing of R.C. beams, is considered. The compressive strength of the compressed arch is also verified by taking into account the biaxial state of stresses. The model was verified on the basis of experimental data available in the literature and it is able to include the following variables in the resistance provision: - geometrical percentage of steel bars; - depth-to-shear span ratio; - resistance of materials; - crack spacing; - tensile stress in main bars; - residual bond resistance including the presence of stirrups;- size effects. Finally, some of the more recent analytical expressions able to predict shear and flexural resistance of concrete beams are mentioned and a comparison is made with experimental data.

Mechanical splices of reinforcing bars subjected to bending moments

  • Sadegh Hashemi;Ali Kheyroddin;Ghasem Pachideh
    • Structural Engineering and Mechanics
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    • 제90권3호
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    • pp.301-311
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    • 2024
  • Different methods have been proposed in the literature for splicing the reinforcing bars in the construction of concrete structures, which are alternatively used depending on design requirements. The most common approach is the lap splicing which is known as a cost-effective method although, its main disadvantages including congestion of bars at the lap zone and consequently, material wastage has motivated utilization of the other techniques such as mechanical splices (couplers). To better evaluate the performance of the couplers, 6 reinforced concrete (RC) beams whose difference is only the type and location of splices have been experimentally studied in this paper. Based on the results, the mechanical connection of the bars did not markedly affect the load-carrying capacity of the specimens. Moreover, it was observed that after applying the loads and failure of the specimens, none of the bars ruptured at the splice location and all couplers remained undamaged.

On strain measurement of smart GFRP bars with built-in fiber Bragg grating sensor

  • Ju, Minkwan;Park, Kyoungsoo;Moon, Doyoung;Park, Cheolwoo;Sim, Jongsung
    • Structural Engineering and Mechanics
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    • 제65권2호
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    • pp.155-162
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    • 2018
  • A smart glass fiber reinforced polymer (SMFRP) reinforcing bar with a fiber Bragg grating (FBG) sensor was fabricated using a pultrusion technique, while ribs were formed to improve bonding between concrete and SMFRP. Then, strain of SMFRP bars were measured for a uniaxial tension test of an SMFRP bar, and a four-point bending test of concrete beams reinforced with SMFRP bars. The results of a uniaxial tension test illustrate that the strain obtained from an FBG sensor agrees well with that obtained from electrical resistance strain gauge (ERSG). Additionally, concrete beams reinforced with SMFRP bars were fabricated, and actual flexural test were performed while the strain of with an FBG sensor was compared with that of ERSG. The experimental results demonstrate that SMFRP bars can be used as reinforcement of concrete member while providing deformation information. Furthermore, SMFRP bars may provide stronger durability and smart monitoring to reinforced concrete members under corrosive environments during a service life.

급속냉각한 Al-(1, 3, 5)Cr 합금 압출재의 조직과 기계적 성질에 미치는 기계적 합금화의 영황 (Effect of Mechanical Alloying on the Structure and Mechanical Properties of Rapid Solidified Al-(1, 3, 5 )Cr Extruded Bars)

  • 지태구;김완철
    • 열처리공학회지
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    • 제7권1호
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    • pp.3-10
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    • 1994
  • The structure and mechanical properties of the extruded specimens were investigated in rapid solidified Al-(1, 3, 5) Cr alloys after mechanical alloying. Finer lamellar microstructure could no longer be resolved in the bars obtained by extrusion of the spherical particles after 200 min. of processing time. The structure of extruded bars are highly depended on the processing time of splats. The isothermal annealing of the extruded bars showed that all the alloys had good thermal stability up to $400^{\circ}C$ and did not show the recrystallization phenomena. Severe working of Al-(1, 3, 5) Cr splats produced a very fine grain size and substructural strengthening (high dislocation density and fine grain size). Effects of mechanical alloying on the thermal stability of the extruded bars Al-(1, 3, 5) Cr alloys decreases, with increasing Cr content. But the ultimate tensile Strength in the extruded bars increases with increasing Cr content.

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Numerical simulation of concrete beams reinforced with composite GFRP-Steel bars under three points bending

  • Elamary, Ahmed S.;Abd-ELwahab, Rafik K.
    • Structural Engineering and Mechanics
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    • 제57권5호
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    • pp.937-949
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    • 2016
  • Fiber reinforced polymer (FRP) applications in the structural engineering field include concrete-FRP composite systems, where FRP components are either attached to or embedded into concrete structures to improve their structural performance. This paper presents the results of an analytical study conducted using finite element model (FEM) to simulate the behavior of three-points load beam reinforced with GFRP and/or steel bars. To calibrate the FEM, a small-scale experimental program was carried out using six reinforced concrete beams with $200{\times}200mm$ cross section and 1000 mm length cast and tested under three point bending load. The six beams were divided into three groups, each group contained two beams. The first group was a reference beams which was cast without any reinforcement, the second group concrete beams was reinforced using GFRP, and the third group concrete beams was reinforced with steel bars. Nonlinear finite element simulations were executed using ANSYS software package. The difference between the theoretical and experimental results of beams vertical deflection and beams crack shapes were within acceptable degree of accuracy. Parametric study using the calibrated model was carried out to evaluate two parameters (1) effect of number and position of longitudinal main bars on beam behavior; (2) performance of concrete beam with composite longitudinal reinforcement steel and GFRP bars.

Analysis of rectangular hybrid steel-GFRP reinforced concrete beam columns

  • El-Heloua, Rafic G.;Aboutaha, Riyad S.
    • Computers and Concrete
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    • 제16권2호
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    • pp.245-260
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    • 2015
  • In this study, nominal moment-axial load interaction diagrams, moment-curvature relationships, and ductility of rectangular hybrid beam-column concrete sections are analyzed using the modified Hognestad concrete model. The hybrid columns are primarily reinforced with steel bars with additional Glass Fiber Reinforced Polymer (GFRP) control bars. Parameters investigated include amount, pattern, location, and material properties of concrete, steel, and GFRP. The study was implemented using a user defined comprehensive $MATLAB^{(R)}$ simulation model to find an efficient hybrid section design maximizing strength and ductility. Generating lower bond stresses than steel bars at the concrete interface, auxiliary GFRP bars minimize damage in the concrete core of beam-column sections. Their usage prevents excessive yielding of the core longitudinal bars during frequent moderate cyclic deformations, which leads to significant damage in the foundations of bridges or beam-column spliced sections where repair is difficult and expensive. Analytical results from this study shows that hybrid steel-GFRP composite concrete sections where GFRP is used as auxiliary bars show adequate ductility with a significant increase in strength. Results also compare different design parameters reaching a number of design recommendations for the proposed hybrid section.

20db 정착길이를 가지는 SD700 갈고리철근과 확대머리철근의 정착성능 실험 (Anchorage performance tests of SD700 hooked bar and headed bar with a anchorage length of 20db)

  • 김호영;심혜정
    • 도시과학
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    • 제7권2호
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    • pp.21-27
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    • 2018
  • With the increase of the skyscraper center, the development of large-diameter and high-strength reinforcing bars is being carried out to solve the dense reinforcement. In case of the steel reinforced concrete with a small cross section such as beam-column joints, the development length becomes short when straight bars are used. Therefore, it is possible to solve the problem that the development length becomes short by using the bearing strength of the hooked bar and headed bar. In this study, the exterior beam-column joint test of SD700 hooked bar and headed bar with anchorage length of 20db was conducted to extend the development length limitation of hooked bar and headed bar. As a result of the evaluation of the anchorage strength using the design equation by KCI, the average of the [measured value]/[predicted value] ratio was 1.31 for the hooked reinforcing bars. In the case of headed bars, the average of the [measured value]/[predicted value] ratio was 1.12. In addition, in order to compare the anchorage performance of the hooked bar and the headed bar, the measured values were divided by the square root of the compressive strength of the concrete to compare the anchorage strength. Under the same conditions, the anchorage strength of headed bars was 8.5% higher than the hooked bars.

550 MPa 급 철근을 적용한 낮은 철근콘크리트 벽체의 전단강도를 위한 반복하중 실험 (Cyclic Loading Test for Shear Strength of Low-rise RC Walls with Grade 550 MPa Bars)

  • 박홍근;이재훈;신현목;백장운
    • 콘크리트학회논문집
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    • 제25권6호
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    • pp.601-612
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    • 2013
  • 거대한 벽체를 사용하는 원전구조물의 건설에서, 시공성과 경제성향상을 위해 벽체의 전단철근으로 사용되는 고강도 철근의 사용이 필요하다. 이 연구에서는, 550 MPa 급 철근을 사용한 낮은 벽체(형상비 1.0)의 전단내력과 변형능력을 검증하기 위해 벽체의 반복하중재하 실험이 수행되었다. 실험 변수는 수평철근의 항복강도(550 MPa 급, 420 MPa 급), 콘크리트 압축강도(46 MPa, 70 MPa), 수평/수직전단철근비, 횡구속후프의 여부, 벽체의 단면형상, 파괴모드(휨항복 전 또는 후 전단파괴)였다. 실험결과를 420 MPa 급 철근을 사용한 벽체, 그리고 현행설계기준에 의한 예측강도와 비교하였다. 실험 결과로부터 550 MPa 급 철근을 사용한 벽체의 전단강도가 420 MPa 급 철근을 사용한 벽체의 전단강도에 비해 안전여유가 조금 감소하였으나 비슷함을 보였다. ACI 349 전단강도식은 550 MPa 급 철근을 사용한 벽체를 과소평가하였으며, 휨 항복의 실험체의 경우 큰 변형능력을 보였다. 이 결과는 ACI 349 규정이 550 MPa 급 철근을 사용한 낮은 벽체(형상비 1.0)의 내진설계에 안전하게 적용될 수 있음을 가리킨다.

굽힌 후 편 철근의 기계적 성질과 응력-변형률 모델 (Mechanical Properties and Stress-Strain Model of Re-Bars Coldly Bent and Straightened)

  • 천성철;탁소영;하태훈
    • 콘크리트학회논문집
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    • 제24권2호
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    • pp.195-204
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    • 2012
  • 신구 콘크리트 접합부에서는 굽힌 후 편 철근을 이용한 이음이 발생한다. 철근의 굽힘과 펴는 과정에는 필연적으로 소성 변형이 발생하며, 이 과정에서 가공 경화, 바우싱거 효과, 시효 경화 현상이 발생된다. 이 연구에서는 강종, 지름, 굽힘 내면 반지름, 굽힌 후 펴기까지의 존치기간을 변수로 굽힌 후 편 철근의 인장에 대한 기계적 성질을 조사하였다. 연구 결과, 굽힌 후 편 철근은 비례한계점이 낮아지는 비선형성이 직선 철근에 비해 일찍 발생되었으며, 항복마루 없이 바로 변형경화가 발생하였다. 이것은 굽힘 가공에서 압축을 받은 부분의 바우싱거 효과에 의해 항복점이 낮아졌고, 굽힘 가공에서 인장을 받은 부분의 가공 경화에 의해 항복마루가 없어졌기 때문이다. 높은 강종일수록 항복강도의 저하가 크게 발생되었으며, SD400 철근의 항복강도는 설계기준강도보다 낮았다. 철근은 표면부의 강도가 내부보다 높기 때문에, 높은 강종일수록 굽힌 후 펴면 바우싱거 효과가 크게 발생된다. 굽힌 후 펴기까지의 존치기간이 길면 시효 경화에 의해 항복강도의 상승과 연성의 저하가 발생되었다. Ramberg-Osgood 모델을 기본 형태로 실험 자료를 회귀분석하여 항복강도와 존치기간을 고려한 굽힌 후 편 철근의 응력-변형률 관계를 구성하였다. 이 모델은 굽힌 후 편 철근이 사용된 접합부의 강성 평가에 활용될 수 있다.

토양수분조건에 따른 대두의 발아반응에 관한 연구 제2보 발아기에 있어서 대두의 수분흡수 및 삼투압 변이 (Responses of Soybeans to Water Stress During Germination n. Water Uptake and Osmotic Potential of Soybeans During Germination)

  • 김용욱;해리 마이너
    • 한국작물학회지
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    • 제26권2호
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    • pp.157-166
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    • 1981
  • 본 시험은 대두 종자의 수분흡수 및 삼투압이 발아에 미치는 영향을 구명코저 수행되었다. Essex, Pickett, Bonus와 Wayne 4개품종이 공시되었고, 이들 품종들의 종자를 각각 소입 및 대입으로 분류하여 수분흡수를 측정하였다. 그 결과를 요약하면 다음과 같다. 1. 모든 수분조건에서 대두 종자의 수분흡수 능력은 종자의 크기 및 품종간의 유의적인 차를 보였다. Essex와 Pickett은 Bonus와 Wayne에 비해, 동일품종내에서 소입은 대입에 비해 수분흡수 능력이 우월하였다. 2. $25^{\circ}C$의 온도에서 대두 종자의 발아기간은 적당한 수분조건 및 -6bars의 토양수분 상태에서 2일, -15bars의 토양수분 조건에서는 5일로 지연되있고, Essex나 Pickett은 Wayne이나 Bonus에 비해, 그리고 소입종은 대입종에 비해 발아기간이 단축되었다. 3. 적당한 수분조건에서 발아초기에 대두 종자의 수분함량은 60.8%이였으며, 발아에 필요한 최소 종자의 수분함량은 -6bars에서 50.2%, -15bars에서 50.9% 이었다. 4. 발아기에 있어서 대두 종자의삼투압품종 및 침종시기에 따라 유의적인 변이를 보였으며, 4시간과 8시간 침종사이에서 급수한 증가를 보였다. 평균 삼투압은 4시간에 침종에서 -32.0bars, 발아초기에서 11.2bars의 범위를 나타냈다. 5. 초기 침종으로부터 발아초기 동안의 품종별 전체평균 삼투압을 보면 Bonus가 -19.4bars, Wayne이 -18.3bars, Essex가 -15.1bars, 그러고 pickett이 -13.2 bars 이었다. 6. 침종시간에 따른 초장의 길이와 삼투압간의 상관계수는 유의성이 없었으며, 이 결과는 대두 종자의 삼투압은 초기초장의 생장과 직접적인 관련이 없는 것으로 추정된다. 그러나 수분흡수와 삼투압간의 상관계수는 고도의 정의 유의성을 보였다(r=.98). Bonus나 Wayne에 비해 Pickett과 Essex는 높은삼투압을 보였으며, 이것은 수분흡수 시험결과와 일치하고 있다. 따라서 대두 종자의 삼투압은 건조상태에서 발아능력을 추정하는 하나의 지표가 되리라 생각한다.

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