• Title/Summary/Keyword: Strut-and-tie

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Detailing in the Pi(${\pi}$)-Shaped RC Rahmen Bridge According to the Design Methods (설계방법에 따른 ${\pi}$형 RC 라멘교의 배근상세)

  • We, Jeung-Bok;Lee, Seung-Hun;Eom, Jang-Sub;Jin, Chi-Sub
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.11a
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    • pp.213-216
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    • 2006
  • The designer has difficulty due to inadequacy of provisions in the domestic design code and lack of understanding for behavior of D-region. The reinforced concrete pi(${\pi}$)-shaped RC rahmen bridge consists of various failure mechanisms as the crushing or splitting from compression concrete, and shearing failure under the loading plate. However, predicting those failure mechanisms is very difficult. In this study, the pi(${\pi}$)-shaped RC rahmen bridge is analyzed and designed by using strut-tie model. Adequacy for the application of strut-tie model is verified by comparison with the way used in current design practice. As a result that designing the structures should be maked a comparison between strut-tie model and current conventional design method.

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Strength Prediction of RC Beams Subjected to Pure Torsions Using 3-D Strut-Tie Models (3차원 스트럿-타이 모델을 이용한 순수 비틀림을 받는 보의 강도예측)

  • 박정웅;윤영묵
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.11a
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    • pp.409-412
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    • 2003
  • ACI design code is not capable of evaluating the inter-effects between concrete and torsional reinforcement on the torsional resistance of the reinforced concrete beams. In this study, the failure strengths of the ten reinforced concrete beams subjected to pure torsion were evaluated using 3-dimensional strut-tie models. The analysis results obtained from the present study were compared with those obtained from the ACI design code. The comparison showed that the accuracy and performance of the present method were better than the ACI design code. Thus, the method implementing a 3-dimensional strut-tie model can be possibly applied to the analysis and design of the reinforced concrete beams subjected to pure torsion as a rational design method.

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Proposals of Indeterminate Strut-Tie Model and Load Distribution Ratio for Strength Analysis of Pre-tensioned Concrete Deep Beams (프리텐션 콘크리트 깊은 보의 강도해석을 위한 부정정 스트럿-타이 모델 및 하중분배율의 제안)

  • Chae, Hyun-Soo;Ha, Sang-Yong;Yun, Young-Mook
    • Proceedings of the Korea Concrete Institute Conference
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    • 2009.05a
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    • pp.193-194
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    • 2009
  • In this study, a simple indeterminate strut-tie model reflecting all characteristics of the ultimate strengths and complicated structural behavior of pre-tensioned concrete deep beams is presented. In addition, a load distribution ratio, defined as a magnitude of load transferred by a vertical truss mechanism, is proposed to help structural designers perform the strength analysis of pre-tensioned concrete deep beams by using the strut-tie model approaches of current design codes.

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Improved strut-and-tie method for 2D RC beam-column joints under monotonic loading

  • Long, Xu;Lee, Chi King
    • Computers and Concrete
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    • v.15 no.5
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    • pp.807-831
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    • 2015
  • In the previous analytical studies on 2D reinforced concrete (RC) beam-column joints, the modified compression field theory (MCFT) and the strut-and-tie method (STM) are usually employed. In this paper, the limitations of these analytical models for RC joint applications are reviewed. Essentially for predictions of RC joint shear behaviour, the MCFT is not applicable, while the STM can only predict the ultimate shear strength. To eliminate these limitations, an improved STM is derived and applied to some commonly encountered 2D joints, viz., interior and exterior joints, subjected to monotonic loading. Compared with the other STMs, the most attracting novelty of the proposed improved STM is that all critical stages of the shear stress-strain relationships for RC joints can be predicted, which cover the stages characterized by concrete cracking, transverse reinforcement yielding and concrete strut crushing. For validation and demonstration of superiority, the shear stress-strain relationships of interior and exterior RC beam-column joints from published experimental studies are employed and compared with the predictions by the proposed improved STM and other widely-used analytical models, such as the MCFT and STM.

Design of RC T-type Pier Coping Using Strut-and-Tie Model (스트럿-타이 모델에 의한 콘크리트 T형 교각 코핑부의 설계)

  • Jung, Kwang-Hoe;Shim, Byul;Song, Ha-Won;Byun, Keun-Joo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.10a
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    • pp.617-622
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    • 2000
  • In this study, effective compressive strength and nodal zone of Strut-and-Tie Model are studied to propose a new design method for RC T-type pier coping for prevention of sudden brittle failure. The coping which transmits loads of bridge to pier should be properly designed to retain ductile behavior. In order to carry out this proper design using STM, tie must yield before concrete fails, and a stress at strut should not exceed a certain effective stress. Therefore, reasonable determination of the effective compressive strength of strut by considering stress states at the nodal zone exactly is very important. Since conventional STM is applied under assumption that all nodes are under hydrostatic stress state, actual non-hydrostatic stress state in nodal zone caused by geometrical characteristics, loading conditions, support conditions of structures can not be considered properly. In order to apply STM for design of RC T-type pier coping, the non-hydrostatic stress state of nodal zone is considered and effective compressive strength is proposed. Then, a new design method of RC T-type pier coping which applies the principle of superposition to obtain optimum ductile behavior is rationally designed.

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Shear mechanism of steel fiber reinforced concrete deep coupling beams

  • Li, Kou;Zhao, Jun;Ren, Wenbo
    • Structural Engineering and Mechanics
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    • v.73 no.2
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    • pp.143-152
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    • 2020
  • Deep coupling beams are more prone to suffer brittle shear failure. The addition of steel fibers to seismic members such as coupling beams can improve their shear performance and ductility. Based on the test results of steel fiber reinforced concrete(SFRC) coupling beams with span-to-depth ratio between 1.5 and 2.5 under lateral reverse cyclic load, the shear mechanism were analyzed by using strut-and-tie model theory, and the effects of the span-to-depth ratio, compressive strength and volume fraction of steel fiber on shear strengths were also discussed. A simplified calculation method to predict the shear capacity of SFRC deep coupling beams was proposed. The results show that the shear force is mainly transmitted by a strut-and-tie mechanism composed of three types of inclined concrete struts, vertical reinforcement ties and nodes. The influence of span-to-depth ratio on shear capacity is mainly due to the change of inclination angle of main inclined struts. The increasing of concrete compressive strength or volume fraction of steel fiber can improve the shear capacity of SFRC deep coupling beams mainly by enhancing the bearing capacity of compressive struts or tensile strength of the vertical tie. The proposed calculation method is verified using experimental data, and comparative results show that the prediction values agree well with the test ones.

Refined 3-Dimensional Strut-Tie Models for Analysis and Design of Reinforced Concrete Pile Caps (철근콘크리트 파일캡의 해석 및 설계를 위한 개선 3차원 스트럿-타이 모델)

  • Kim, Byung Hun;Chae, Hyun Soo;Yun, Young Mook
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.1
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    • pp.115-130
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    • 2013
  • The sectional methods of current design codes have been broadly used for the design of various kinds of reinforced concrete pile caps. Lately, the strut-tie model approach of current design codes also became one of the attracting methods for pile caps. However, since the sectional methods and the strut-tie model approach of current design codes have been established by considering the behaviors of structural concrete without D-regions and two-dimensional concrete structures with D-regions, respectively, it is inappropriate to apply the methods to the pile caps dominated by 3-dimensional structural behavior with disturbed stress regions. In this study, the refined 3-dimensional strut-tie models, which consider the strength characteristics of 3-dimensional concrete struts and nodal zones and the load-carrying capacity of concrete ties in tension regions, are proposed for the rational analysis and design of pile caps. To examine the validity of the proposed models and to verify the necessity of appropriate constituent elements for describing 3-dimensional structural behavior and load-transfer mechanism of pile caps, the ultimate strength of 78 reinforced concrete pile caps tested to failure was examined by the proposed models along with the sectional and strut-tie model methods of current design codes.

Strut-and-Tie Models for Shear Strength of RC Beam-Column Joints Considering Deformation of Beam Plastic Hinge (보 소성힌지 변형을 고려한 RC보-기둥 접합부의 스트럿-타이 모델)

  • 이수곤;홍성걸
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.397-402
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    • 2003
  • This paper presents strut-and-tie models for predicting shear strength of RC interior beam-column joints considering the plastic hinge rotation of adjacent beams. On seismic design of frame system, it is controlled beams to occur plastic hinges and to be ductile so as to dissipate earthquake energy efficiently. The plastic hinge deformation of beams is used as analysis parameter in terms of strain of beam tensile bars at column face. The shear strengths of beam-column joints are evaluated by combining direct strut mechanism with truss mechanism. It is assumed that the max force transferred by direct strut mechanism is based on the strength of cracked concrete element, and that by truss mechanism is based on bond capacity.

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Behavior of the Wall System with Transfer Girder and Columns. (상부 전단벽 하부 프레임 구조를 갖는 시스템의 수직하중에 대한 거동)

  • 홍성걸;문종우;박홍근
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10a
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    • pp.456-461
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    • 1998
  • This paper presents the results from a combination of strut-and-tie model and analytical study that investigated the ultimate strength of wall system with frame supports. Strut-and-tie models show reasonable force flows and upper bound solution is compared to the results from FEM analysis. The results shows that two main parameters - transfer girder depth and column width - yield good estimation of the ultimate strength of the system. Vertical and horizontal reinforcements of the transfer girder add few strength to the whole system. The proposed design strength formula shows good agreement with the results from FEM analysis.

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Strut-and-Tie Model for Shear Strength of R/C Columns (철근콘크리트 기둥의 전단강도 산정을 위한 스트럿 타이 모델)

  • 이수곤;하태훈;홍성걸
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.04a
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    • pp.591-596
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    • 1999
  • Current design methods as well as the majority of the previous researches for shear strength of the reinforced concrete are based on empirical method. There is a need to propose the rational models based on analytical approach. This paper presents the modified strut-and-tie model for reinforced concrete columns, under axial compression, shear, and flexural moment, considering tensile strength of concrete. Using this model, the strength and the failure mode of R/C columns are investigated, and the proposed models are compared with test data available in the literature.

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