• 제목/요약/키워드: Modified compression field theory

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Implementation of the modified compression field theory in a tangent stiffness-based finite element formulation

  • Aquino, Wilkins;Erdem, Ibrahim
    • Steel and Composite Structures
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    • 제7권4호
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    • pp.263-278
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    • 2007
  • A finite element implementation of the modified compression field theory (MCFT) using a tangential formulation is presented in this work. Previous work reported on implementations of MCFT has concentrated mainly on secant formulations. This work describes details of the implementation of a modular algorithmic structure of a reinforced concrete constitutive model in nonlinear finite element schemes that use a Jacobian matrix in the solution of the nonlinear system of algebraic equations. The implementation was verified and validated using experimental and analytical data reported in the literature. The developed algorithm, which converges accurately and quickly, can be easily implemented in any finite element code.

Prediction of Shear Strength of R/C Beams using Modified Compression Field Theory and ACI Code

  • Park, Sang-Yeol
    • KCI Concrete Journal
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    • 제11권3호
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    • pp.5-17
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    • 1999
  • In recent years. the concept of the modified compression field theory (MCFT) was develped and applied to the analysis of reinforced concrete beams subjected to shear, moment, and axial load. Although too complex for regular use in the shear design or beams. the procedure has value in its ability to provide a rational method of anlysis and design for reinforced concrete members. The objective of this paper is to review the MCFT and apply it for the prediction of the response and shear strength of reinforced concrete beams A Parametric analysis was Performed on a reinforced T-section concrete beam to evaluate and compare the effects of concrete strength. longitudinal reinforcement ratio shear reinforcement ratio, and shear span to depth ratio in two different approaches the MCFT and the ACI code. The analytical study showed that the concrete contribution to shear strength by the MCFT was higher than the one by the ACI code in beams without stirrups, while it was lower with stirrups. On the other hand. shear reinforcement contribution predicted by the MCFT was much higher than the one by the ACI code. This is because the inclination angle of shear crack is much smaller than 45$^{\circ}$assumed in the ACI code.

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철근콘크리트보의 전단피로손상거동에 대한 수정압축장이론을 이용한 해석기법 (Analysis of Shear Damage Behaviour of Reinforced Concrete Beams using Modified Compression Field Theory)

  • 한승환;오병환
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1997년도 가을 학술발표회 논문집
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    • pp.552-557
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    • 1997
  • In this study, a quantitative analysis technique for the damage process of reinforced concrete beams under repeated shear loading is proposed, which can express the progressively increasing strain and stiffness reduction. The analysis technique is mainly based on the modified compression field theory and scalar damage concept. which describe the strain and stress configuration in the shear zone by considering the 2-dimensional effect, and express the degradation of principal compressive strut by cyclic strain increment, secant modulus decrement, and modifying the parabolic stress strain relationship. The analysis of the response of RC beams under repeated shear-flexure loading has been carried out and compared with the experimental results. The present theory may efficiently be used to evaluate the deflection and strain accumulation under repeated loadings.

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피로하중을 받는 철근콘크리트 보의 전단손상누적 및 해석기법연구 (Analysis of Shear Damage Accumulation of Reinforced Concrete Beams under Fatigue Loads)

  • 한승환;오병환
    • 콘크리트학회지
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    • 제10권3호
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    • pp.107-115
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    • 1998
  • 반복하중을 받는 무근 및 철근 콘크리트 부재는 하중의 반복작용에 의해 과도한 균열 및 처짐을 유발하고 결과적으로 전체 구조요소의 파괴를 일으킨다. 따라서 하중반복에 의한 누적손상의 진행과정을 정량적으로 평가하여 철근콘크리트 보의 사용성과 안전성을 평가하는 것이 중요하고 특히 취성적 거동 특성을 갖는 전단거동의 경우에 더욱 의미가 있다. 본 연구에서는 반복전단하중에 의한 누적손상의 정량적 분석을 위하여 평균변형도 및 평균응력개념에 기초한 수정압축장이론(modified compression field theory)에 의하여 누적손상 모델을 제안하였다. 본 연구에서 제안된 모델을 통하여 반복전단하중에 의한 처짐과 변형도의 변화를 평가하는데 유용하게 이용될 것으로 사료된다.

고장력 주인장 철근을 사용한 전단보강이 없는 보의 전단성능에 관한 연구 (Shear Behavior of High-Strength Steel Reinforced Concrete Beams without Stirrups)

  • 손영무;윤영수
    • 한국구조물진단유지관리공학회 논문집
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    • 제6권2호
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    • pp.203-210
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    • 2002
  • In these days, High-strength steel prevails throughout the construction fields for the benefit of structural and economical aspects. But high-strength steel is used by the simple calculation of flexural capacities for the purpose of reducing flexural reinforcement. So, this paper is mainly focused on the shear behavior of high-strength steel reinforced concrete beams without stirrups comparing with normal-strength steel reinforced concrete beams. Specimens were made and tested with the experimental parameters, such as steel yield strength, reinforcement ratios and minimum shear reinforcement. The main result was that not only area but also the yield strength of flexural reinforcement should be considered to predict the shear capacities of concrete beams. In addition, the experimental results were simulated by modified compression field theory analysis program, RESPONSE 2000. A good agreement was achieved between the test results and program analyses.

비균열 인장재하 시험체의 압축장 이론에 기반한 전단전달강도 산정모델 (Estimation Model of Shear Transfer Strength for Uncracked Pull-Off Test Specimens based on Compression Field Theory)

  • 김민중;이기열
    • 대한토목학회논문집
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    • 제41권2호
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    • pp.101-111
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    • 2021
  • 전단마찰 시험체는 재하형태에 따라 압축재하와 인장재하 시험으로 구분된다. 인장재하 시험의 경우에는 외력으로 작용하는 수직방향 인장력에 의하여 전단응력 및 수직방향 인장응력이 유발된다. 이 연구에서는 압축장 이론을 이용하여 인장재하 시험체의 전단전달강도를 평가하였으며, 2축-응력 상태의 콘크리트 최대 압축강도의 변화를 고려하기 위하여 수정압축장이론, 연화트러스모델의 구성방정식을 사용하였다. 타당성 검증을 위하여 과거 연구자들에 의해 수행된 직접전단강도 실험값들과 압축장 이론을 이용하여 구한 값들을 비교한 결과, 비균열 인장재하 시험체의 경우 예측값과 실측치가 대체적으로 잘 일치함을 확인하였다. 또한 콘크리트 스트럿의 유효압축강도를 고려한 전단강도 평가식을 제안하고, 기존 문헌에 수록된 실험결과와 비교함으로써 제안식의 적용 가능성을 검증하였다.

Shear behavior of the hollow-core partially-encased composite beams

  • Ye, Yanxia;Yao, Yifan;Zhang, Wei;Gao, Yue
    • Steel and Composite Structures
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    • 제44권6호
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    • pp.883-898
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    • 2022
  • A hollow-core partially-encased composite beam, named HPEC beam, is investigated in this paper. HPEC beam comprises I-beam, longitudinal reinforcement, stirrup, foam formwork, and cementitious grout. The foam formwork is located on both sides of the web, and cementitious grout is cast within the steel flange. To investigate the shear performance of HPEC beams, static loading tests of six HPEC beams and three control beams were conducted. The shear span ratio and the number of studs on the shear behavior of the HPECspecimens were studied. The failure mechanism was studied by analyzing the curves of shear force versus both deflection and strain. Based on the shear span ratio (𝜆), two typical shear failure modes were observed: shear compression failure when 1.6 ≤ 𝜆 ≤ 2; and diagonal compression failure when 𝜆 ≤ 1.15. Shear studs welded on the flange can significantly increase the shear capacity and integrity of HPEC beams. Flange welded shear studs are suggested. Based on the deformation coordination theory and superposition method, combined with the simplified modified compression field model and the Truss-arch model, Modified Deformation Coordination Truss-arch (M.D.C.T.) model was proposed. Compared with the shear capacity from YB9038-2006 and JGJ138-2016, the calculation results from M.D.C.T. model could provide reasonable predictions.

Ultimate and fatigue response of shear dominated full-scale pretensioned concrete box girders

  • Saiidi, M. Saiid;Bush, Anita
    • Structural Engineering and Mechanics
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    • 제23권4호
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    • pp.353-367
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    • 2006
  • Two full-scale, precast, pretensioned box girders were subjected to shear-dominated loading, one under monotonic loads to failure and the other subjected to one-half million cycles of fatigue loads followed by monotonic ultimate loads. The number of cycles was selected to allow for comparison with previous research. The fatigue loads were applied in combination with occasional overloads. In the present study, fatigue loading reduced the shear capacity by only six percent compared to the capacity under monotonic loading. However, previous research on flexure-dominated girders subjected to the same number of repeated loads showed that fatigue loading changed the mode of failure from flexure to shear/flexure and the girder capacity dropped by 14 percent. The comparison of the measured data with calculated shear capacity from five different theoretical methods showed that the ACI code method, the compression field theory, and the modified compression field theory led to reasonable estimates of the shear strength. The truss model led to an overly conservative estimate of the capacity.

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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    • 제8권1호
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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.

Extension of theoretical approaches for the shear strength of reinforced concrete beams with corroded stirrups

  • Pier Paolo Rossi;Nino Spinella
    • Computers and Concrete
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    • 제31권1호
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    • pp.33-52
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    • 2023
  • This paper proposes and validates the extension of two models, previously formulated for the evaluation of the shear strength of reinforced concrete members with un-corroded reinforcements, to the case of beams with corroded stirrups. These extended models are based on the plasticity theory (this model has been proposed in the past by one of the authors) and on the simplified modified compression field theory. The response of these models is compared with that of the compression chord capacity model, which has recently been embedded with modifications that simulate the effects of steel corrosion. These latter modifications are first discussed and then introduced into the other two models. An existing database of slender and non-slender beams tested in laboratory by other researchers is revised and improved. Finally, all the considered models are applied to the selected specimens and a comparison is drawn between the shear strength resulting from the considered models and the shear strength resulting from the laboratory tests. The effects of corrosion on some important parameters of the ultimate shear response of the reinforced concrete beams are also discussed.