• Title/Summary/Keyword: truss analogy

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Shear Strength of Concrete Members without Transverse Steel (횡보강근이 없는 콘크리트 부재의 전단강도)

  • 김장훈
    • Journal of the Korea Concrete Institute
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    • v.12 no.6
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    • pp.57-66
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    • 2000
  • The truss analogy for the analysis of beam-columns subjected of shear and flexure is limited by the contribution of transverse and longitudinal steel and diagonal concrete compression struts. However, it should be noted that even though the behavior of reinforced concrete beam-columns after cracking can be modeled with the truss analogy, they are not perfect trusses but still structural elements with a measure of continuity provided by a diagonal tension field. The mere notion of compression field denotes that there should be some tension field coexisting perpendicularly to it. The compression field is assumed to form parallel to the crack plane that forms under combined flexure and shear. Therefore, the concrete tension field may be defined as a mechanism existing across the crack and resisting crack opening. In this paper, the effect of concrete tensile properties on the shear strength and stiffness of reinforced concrete beam-columns is discussed using the Gauss two-point truss model. The theoretical predictions are validated against the experimental observations. Although the agreement is not perfect, the comparison shows the correct trend in degradation as the inelasticity increases.

Predicting shear strength of RC exterior beam-column joints by modified rotating-angle softened-truss model

  • Wong, Simon H.F.;Kuang, J.S.
    • Computers and Concrete
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    • v.8 no.1
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    • pp.59-70
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    • 2011
  • A theoretical model known as the modified rotating-angle softened-truss model (MRA-STM), which is a modification of Rotating-Angle Softened-Truss Model and Modified Compression Field Theory, is presented for the analysis of reinforced concrete membranes in shear. As an application, shear strength and behaviour of reinforced concrete exterior beam-column joints are analysed using the MRA-STM combining with the deep beam analogy. The joints are considered as RC panels and subjected to vertical and horizontal shear stresses from adjacent columns and beams. The strut and truss actions in a beam-column joint are represented by the effective transverse compression stresses and a softened concrete truss in the proposed model. The theoretical predictions of shear strength of reinforced concrete exterior beam-column joints from the proposed model show good agreement with the experimental results.

Determination of inclination of strut and shear strength using variable angle truss model for shear-critical RC beams

  • Li, Bing;Tran, Cao Thanh Ngoc
    • Structural Engineering and Mechanics
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    • v.41 no.4
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    • pp.459-477
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    • 2012
  • This paper attempts to determine the inclination of the compression strut within variable angle truss models for RC beams loaded in shear-flexure through a proposed semi-analytical approach. A truss unit is used to analyze a reinforced concrete beam, by the principle of virtual work under the truss analogy. The inclination of the compression strut is then theoretically derived. The concrete contribution is addressed by utilizing the compatibility condition within each truss unit. Comparisons are made between the predicted and published experimental results of the seventy one RC beams with respect to the shear strength and the inclined angle of the compression strut at this state to investigate the adequacy of the proposed semi-analytical approach.

Shear Behavior of Concrete Beams Reinforced with FRP Bar (FRP Bar 보강 콘크리트 보의 전단거동)

  • Choi, Ik-Chang;Jung, Dae-Jin
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.19 no.4
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    • pp.403-409
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    • 2013
  • Shear behavior of concrete beams reinforced with steel and/or FRP bar is studied through experimental tests. Experimental parameters includes the mechanical properties of reinforcements in shear and bending, and the ratio of shear reinforcement. The validity of the modified truss analogy, that has been widely accepted as a basis for the practical shear design of concrete beams, has been examined thoroughly by analyzing experimental results. The experimental results indicate that the modified truss analogy cannot be directly adopted to the shear problem of concrete beams reinforced with FRP bar.

Assessment of shear resistance of corroded beams repaired using SFRC in the tension zone

  • Jongvivatsakul, Pitcha;Laopaitoon, Phattarakan;Nguyen, Yen T.H.;Nguyen, Phuoc T.;Bui, Linh V.H.
    • Computers and Concrete
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    • v.27 no.5
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    • pp.395-406
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    • 2021
  • This study experimentally and analytically investigates the shear behavior of corroded reinforced concrete (RC) beams repaired using steel fiber-reinforced concrete (SFRC) in the flexural zone. The experimental parameters are the corrosion degree (0%, 12%, and 17%) and the steel fiber volume in the SFRC (1.0%, 1.5%, and 2.0%). The test results reveal that corrosion degree significantly affects the shear resistance of the beams. The shear capacity of the beam with the corrosion degree of 17% was higher than that of the uncorroded beam, whereas the shear capacity of the beam with the corrosion degree of 12% was lower than that of the uncorroded beam. The shear efficiency of damaged beams can be recovered by repairing them using SFRC that contains a reasonable amount of steel fibers. In addition, two methods to estimate the shear capacity of the repaired beams are developed using the modified truss analogy and strut-and-tie models. The estimated shear capacity of the beam using the modified truss analogy model agrees well with the experimental data.

Shear Strength and Deformability of HSC Shear Walls (고강도 콘크리트 전단벽의 강도와 변형능력)

  • 윤현도;최창식;오영훈;이훈희
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.925-930
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    • 2003
  • Provisions for ACI 318-02 and NZS 3101 pertaining to shear design of shear walls evaluated the applicability of high-strength, concrete shear walls subjected to lateral loads. Results of 73 tests of reinforced concrete shear walls were reviewed. Evaluation of test results conducted in Korea, England, America, Japan, and Australia for low-aspect ratio walls indicates that the nominal unit shear strength($\phi$=1.0) calculated using the provisions of ACI and NZS does not represent the observed shear strength well. Based on the limited database considered in this study, a reasonable lower bound to the shear strength of high-strength concrete shear walls is found to be $\sqrt[0.4]{f_{cu}}$ MPa. Similar to that of normal strength concrete walls, the rate of increase of the measured shear strength with $$\rho$_n/ㆍf_y$ is less than 1.0. Therefore, the rate of increase of shear strength attributable to the web reinforcement in shear walls appears to be overestimated by the modified truss analogy.

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Estimation of Shear Carrying Capacity on Concrete Beams, Reinforced with FRP Rods (FRP Rods로 보강한 콘크리트 보의 전단 내하력의 평가)

  • 최익창;연준희;고재용
    • Journal of Ocean Engineering and Technology
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    • v.18 no.1
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    • pp.63-68
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    • 2004
  • The purpose of this study is to estimate the contribution of concrete and shear reinforcement, in shear carrying capacity, on concrete beams, reinforced with steel and/or FRP rods. The experimental tests for 12 concrete beams, reinforced with steel and/or FRP rods, are carried out. Experimental parameters includes the mechanical properties of reinforcements in shear and bending, and the ratio of shear reinforcement. This study compares the experimental results of shear carrying capacity in concrete beams, reinforced with steel and/or FRP rods, with the proposed equations. According to the experimental results, the effect of the concrete in concrete beams reinforced with FRP rods is decreased with decreasing Young's modulus of longitudinal tensile reinforcement. This results from the large deflection of concrete beams reinforced with decreasing Young's modulus of longitudinal tensile reinforcement. Also, the contribution of shear reinforcement is smaller than the calculated value, using the truss analogy. This results from the fact that the stress redistribution is not exhibited after the break of shear reinforcement.

'Comb-Structure' Model for the Shear Analysis of Partially Prestressed Concrete Beams (부분(部分) 프리스트레스트 콘크리트 들보의 전단해석을 위한 '빗 구조' 모델)

  • Kang, Won Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.2
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    • pp.1-10
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    • 1992
  • In this study, the 'Comb-structure' model which has been developed from truss analogy is modified in order to be applied to the shear analysis of partially prestressed concrete members. The proposed 'Comb-structure' model is modified so that the position, the slope of concrete compressive chord and the slope of concrete diagonal strut may change according to the magnitude of loads and prestress. For the proposed mechanical model, non-linear beam and truss elements are used. By modifying the 'Compression-Field' theory, the equation to determine the slope angle of concrete diagonal strut can be induced. The anaysis results by the proposed 'Comb-structure' model are compared with the experimental results and validity of model is examined. It shows that the the result of 'Comb-structure' analysis lies between that of the modified M$\ddot{o}$rsch theory and classical M$\ddot{o}$rsch theory, and close to the measured value after cracking. The deflection of the beam and the stress of stirrup show good agreement, so it can be concluded that the proposed 'Comb-structure' analysis model explains the shear behavior of partially prestressed concrte beams after crack initiation.

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Analytical model for hybrid RC frame-steel wall systems

  • Mo, Y.L.;Perng, S.F.
    • Structural Engineering and Mechanics
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    • v.16 no.2
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    • pp.127-139
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    • 2003
  • Reinforced concrete buildings with shearwalls are very efficient to resist earthquake disturbances. In general, reinforced concrete frames are governed by flexure and shearwalls are governed by shear. If a structure included both frames and shearwalls, it is generally governed by shearwalls. However, the ductility of ordinary reinforced concrete is very limited. To improve the ductility, a series of tests on framed shearwalls made of corrugated steel was performed previously and the experimental results were compared with ordinary reinforced concrete frames and shearwalls. It was found that ductility of framed shearwalls could be greatly improved if the thickness of the corrugated steel wall is appropriate to the surrounding reinforced concrete frame. In this paper, an analytical model is developed to predict the horizontal load-displacement relationship of hybrid reinforced concrete frame-steel wall systems according to the analogy of truss models. This analytical model is based on equilibrium and compatibility conditions as well as constitutive laws of corrugated steel. The analytical predictions are compared with the results of tests reported in the previous paper. It is found that proposed analytical model can predict the test results with acceptable accuracy.

Shear lag effect in steel-concrete composite beam in hogging moment

  • Luo, Da;Zhang, Zhongwen;Li, Bing
    • Steel and Composite Structures
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    • v.31 no.1
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    • pp.27-41
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    • 2019
  • Shear lag effect can be an important phenomenon to consider in design of the steel-concrete composite beams. Researchers have found that the effect can be strongly related with the moment distribution, the stiffness and the ductility of the composite beams. For continuous composite beams expected to sustain hogging moment, the shear lag effect can be more distinct as cracking of the concrete slab reduces its shear stiffness. Despite its influences on behaviour of the steel-concrete composite beams, a method for calculating the shear lag effect in steel-concrete composite beams sustaining hogging moment is still not available. Shear lag effect in steel-concrete composite beams sustaining hogging moment is investigated in this paper. A method was proposed specifically for predicting the effect in the cracked part of the steel-concrete composite beam. The method is validated against available experimental data. At last, FE studies are conducted for steel-concrete composite beams with different design parameters, loading conditions and boundary conditions to further investigate the shear lag effect and compare with the proposed method.