• 제목/요약/키워드: Strain compatibility method

검색결과 58건 처리시간 0.022초

Seismic performance of prefabricated bridge columns with combination of continuous mild reinforcements and partially unbonded tendons

  • Koem, Chandara;Shim, Chang-Su;Park, Sung-Jun
    • Smart Structures and Systems
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    • 제17권4호
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    • pp.541-557
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    • 2016
  • Prefabricated bridge substructures provide new possibility for designers in terms of efficiency of creativity, fast construction, geometry control and cost. Even though prefabricated bridge columns are widely adopted as a substructure system in the bridge construction project recently, lack of deeper understanding of the seismic behavior of prefabricated bridge substructures cause much concern on their performance in high seismic zones. In this paper, experimental research works are presented to verify enhanced design concepts of prefabricated bridge piers. Integration of precast segments was done with continuity of axial prestressing tendons and mild reinforcing bars throughout the construction joints. Cyclic tests were conducted to investigate the effects of the design parameters on seismic performance. An analytical method for moment-curvature analysis of prefabricated bridge columns is conducted in this study. The method is validated through comparison with experimental results and the fiber model analysis. A parametric study is conducted to observe the seismic behavior of prefabricated bridge columns using the analytical study based on strain compatibility method. The effects of continuity of axial steel and tendon, and initial prestressing level on the load-displacement response characteristics, i.e., the strain of axial mild steels and posttensioned tendon at fracture and concrete crushing strain at the extreme compression fiber are investigated. The analytical study shows the layout of axial mild steels and posttensioned tendons in this experiment is the optimized arrangement for seismic performance.

An exact finite strip for the calculation of relative post-buckling stiffness of isotropic plates

  • Ovesy, H.R.;Ghannadpour, S.A.M.
    • Structural Engineering and Mechanics
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    • 제31권2호
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    • pp.181-210
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    • 2009
  • This paper presents the theoretical developments of an exact finite strip for the buckling and initial post-buckling analyses of isotropic flat plates. The so-called exact finite strip is assumed to be simply supported out-of-plane at the loaded ends. The strip is developed based on the concept that it is effectively a plate. The present method, which is designated by the name Full-analytical Finite Strip Method in this paper, provides an efficient and extremely accurate buckling solution. In the development process, the Von-Karman's equilibrium equation is solved exactly to obtain the buckling loads and the corresponding form of out-of-plane buckling deflection modes. The investigation of thin flat plate buckling behavior is then extended to an initial post-buckling study with the assumption that the deflected form immediately after the buckling is the same as that obtained for the buckling. It is noted that in the present method, only one of the calculated out-of-plane buckling deflection modes, corresponding to the lowest buckling load, i.e., the first mode is used for the initial post-buckling study. Thus, the postbuckling study is effectively a single-term analysis, which is attempted by utilizing the so-called semi-energy method. In this method, the Von-Karman's compatibility equation governing the behavior of isotropic flat plates is used together with a consideration of the total strain energy of the plate. Through the solution of the compatibility equation, the in-plane displacement functions which are themselves related to the Airy stress function are developed in terms of the unknown coefficient in the assumed out-of-plane deflection function. These in-plane and out-of-plane deflected functions are then substituted in the total strain energy expressions and the theorem of minimum total potential energy is applied to solve for the unknown coefficient. The developed method is subsequently applied to analyze the initial postbuckling behavior of some representative thin flat plates for which the results are also obtained through the application of a semi-analytical finite strip method. Through the comparison of the results and the appropriate discussion, the knowledge of the level of capability of the developed method is significantly promoted.

Shape sensing with inverse finite element method for slender structures

  • Savino, Pierclaudio;Gherlone, Marco;Tondolo, Francesco
    • Structural Engineering and Mechanics
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    • 제72권2호
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    • pp.217-227
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    • 2019
  • The methodology known as "shape sensing" allows the reconstruction of the displacement field of a structure starting from strain measurements, with considerable implications for structural monitoring, as well as for the control and implementation of smart structures. An approach to shape sensing is based on the inverse Finite Element Method (iFEM) that uses a variational principle enforcing a least-squares compatibility between measured and analytical strain measures. The structural response is reconstructed without the knowledge of the mechanical properties and load conditions but based only on the relationship between displacements and strains. In order to efficiently apply iFEM to the most common structural typologies of civil engineering, its formulation according to the kinematical assumptions of the Bernoulli-Euler theory is presented. Two beam inverse finite elements are formulated for different loading conditions. Depending on the type of element, the relationship between the minimum number of required measurement stations and the interpolation order is defined. Several examples representing common applications of civil engineering and involving beams and frames are presented. To simulate the experimental strain data at the station points and to verify the accuracy of the displacements obtained with the iFEM shape sensing procedure, a direct FEM analysis of the considered structures is performed using the LUSAS software.

Mechanical behavior of HPFRCC using limestone calcined clay cement (LC3) and oxygen plasma treated PP fibers

  • Sajjad Mirzamohammadi;Masoud Soltani
    • Structural Engineering and Mechanics
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    • 제89권4호
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    • pp.349-362
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    • 2024
  • High-performance fiber-reinforced cement composites (HPFRCC) are new materials created and used to repair, strengthen, and improve the performance of different structural parts. When exposed to tensile tension, these materials show acceptable strain-hardening. All of the countries of the globe currently seem to have a need for these building materials. This study aims to create a low-carbon HPFRCC (high ductility) that is made from materials that are readily available locally which has the right mechanical qualities, especially an increase in tensile strain capacity and environmental compatibility. In order to do this, the effects of fiber volume percent (0%, 0.5%, 1%, and 2%), and determining the appropriate level, filler type (limestone powder and silica sand), cement type (ordinary Portland cement, and limestone calcined clay cement or LC3), matrix hardness, and fiber type (ordinary and oxygen plasma treated polypropylene fiber) were explored. Fibers were subjected to oxygen plasma treatment at several powers and periods (50 W and 200 W, 30, 120, and 300 seconds). The influence of the above listed factors on the samples' three-point bending and direct tensile strength test results has been examined. The results showed that replacing ordinary Portland cement (OPC) with limestone calcined clay cement (LC3) in mixtures reduces the compressive strength, and increases the tensile strain capacity of the samples. Furthermore, using oxygen plasma treatment method (power 200 W and time 300 seconds) enhances the bonding of fibers with the matrix surface; thus, the tensile strain capacity of samples increased on average up to 70%.

중공형 콘크리트 충전 FRP Tube 말뚝의 휨강도 산정 (An Evaluation of Flexural Strength of Hollow Concrete Filled FRP Tube Piles)

  • 김형준;정흥진
    • 한국구조물진단유지관리공학회 논문집
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    • 제26권6호
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    • pp.204-211
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    • 2022
  • 본 연구에서는 복합말뚝의 장점을 활용하고 CFT말뚝의 단점인 부식에 대한 문제점을 해결할 수 있는 모델로 중공형 콘크리트 충전 FRP Tube 말뚝(Hollow Concrete Filled FRP Tube Pile, HCFFT말뚝)을 제시하였고, 수치해석 모델을 개발하여 거동을 분석하였다. 콘크리트가 손상 소성 거동, 강재가 항복 소성 거동, FRP가 탄성 거동을 한다는 것을 고려하여 변형률적합법을 적용하고, 중립축으로부터의 거리에 따른 FRP Tube 단면의 변화를 고려하여 HCFFT말뚝의 휨 강도 산정식을 제안하였다. 휨 강도 산정식과 수치해석 결과, 실험결과를 비교 분석하여 적정성을 검증하였다. 본 연구 결과는 FRP를 이용한 다양한 HCFFT말뚝의 최적설계에 기초자료로서 활용될 수 있을 것으로 판단된다.

Time dependent service load behaviour of prestressed composite tee beams

  • Uy, Brian
    • Structural Engineering and Mechanics
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    • 제5권3호
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    • pp.307-327
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    • 1997
  • This paper is concerned with the time dependent service load behaviour of prestressed composite tee beams. The effects of creep and shrinkage of the concrete slab are modelled using the age adjusted effective modulus method and a relaxation approach. The tendon strain is determined considering compatibility of deformations and equilibrium of forces between the tendon and the composite tee beam. A parametric study is undertaken to study the influence of various aspects on the stress, strain and deformations of the concrete slab, steel beam and prestressing tendon. The effect of loading type and tendon relaxation has also been considered for various types of prestressing tendon materials. Recommendations are then made in relation to adequate span to depth ratios for varying levels of prestressing force.

볼트 체결형 강판-콘크리트 합성보의 형상 제안 (The suggestion of Steel Plate-Concrete Composite Beam Shape with Bolts)

  • 조태구;최병정
    • 한국산학기술학회논문지
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    • 제19권7호
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    • pp.305-314
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    • 2018
  • 강판 콘크리트 합성보는 강판, 콘크리트 및 2가지의 이질 재료를 결합시키는 전단 연결재로 구성되어 있다. 일반적으로 강판은 기존의 합성보에 용접하여 조립된다. 본 연구에서는 전단 연결재를 감소시키고, 작업성을 향상시키기 위해 SPC(Steel Plate Concrete Composite Beam) 보라 불리는 새로운 강판 콘크리트 합성보를 개발했다. SPC 보는 전단 연결재 없이 절곡된 강판과 콘크리트로 구성된다. 절곡된 강판은 용접 대신 고강도 볼트로 조립된다. 또한, 건설 현장에서 작업성을 향상시키기 위해 슬래브와 접합부에 모자 모양의 Cap이 부착된다. 변위 제어 모드에서 2점 가력 실험을 수행하였고, 시편의 휨강도를 계산하기 위해 소성 응력 분포법과 변형률 적합법을 사용하였다. 시험 결과에 따르면 새로운 SPC 보의 휨 강도는 완전 합성보 강도의 76 %의 값이 나왔다. Cap은 스터드와 부속 철물의 역할을 수행한다. 또한, Cap의 간격 제어를 통해 합성율의 증가가 가능하고, SPC 합성보의 합성율을 고려할 경우 변형률 적합법을 통해 SPC 합성보의 휨 성능 평가가 가능하다.

Strength Prediction of Corbels Using Strut-and-Tie Model Analysis

  • Kassem, Wael
    • International Journal of Concrete Structures and Materials
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    • 제9권2호
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    • pp.255-266
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    • 2015
  • A strut-and-tie based method intended for determining the load-carrying capacity of reinforced concrete (RC) corbels is presented in this paper. In addition to the normal strut-and-tie force equilibrium requirements, the proposed model is based on secant stiffness formulation, incorporating strain compatibility and constitutive laws of cracked RC. The proposed method evaluates the load-carrying capacity as limited by the failure modes associated with nodal crushing, yielding of the longitudinal principal reinforcement, as well as crushing or splitting of the diagonal strut. Load-carrying capacity predictions obtained from the proposed analysis method are in a better agreement with corbel test results of a comprehensive database, comprising 455 test results, compiled from the available literature, than other existing models for corbels. This method is illustrated to provide more accurate estimates of behaviour and capacity than the shear-friction based approach implemented by the ACI 318-11, the strut-and-tie provisions in different codes (American, Australian, Canadian, Eurocode and New Zealand).

콘크리트 응력-변형률 관계에 기반한 철근콘크리트 부재의 처짐 산정 (Deflection Calculation Based on Stress-Strain Curve for Concrete in RC Members)

  • 최승원;김우
    • 대한토목학회논문집
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    • 제30권4A호
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    • pp.383-389
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    • 2010
  • 현재 우리나라의 콘크리트구조설계기준은 강도설계법에 근간하고 있다. 강도설계법에 의해 휨부재를 설계할 경우, 콘크리트 응력-변형률 관계는 사용하중 상태에서 선형으로 가정하지만 이후 극한한계 상태까지에 대해서는 규정되어 있지 않다. 이로 인해 콘크리트구조설계기준에서는 처짐 및 균열폭 등의 산정에 대해 개별적인 규정을 두고 있다. 그러나 한계상태설계법에 근거한 EC에서는 재료에 대한 응력-변형률 관계를 규정하고 있다. 따라서 재료의 응력-변형률 관계로부터 휨강도 및 처짐 등을 직접 계산할 수 있다. 본 연구에서는 휨부재에 대하여 주어진 재료 모델을 바탕으로 평형방정식과 적합조건식을 적용하여 휨모멘트-곡률 관계를 계산하였다. 이로부터 휨강도 및 처짐을 산정하여 현행 콘크리트구조설계기준에 의한 값과 비교하였다. 해석 결과 재료 모델로부터 휨모멘트-곡률 관계를 통해 산정된 처짐은 실험 결과와도 비교적 잘 일치하고, 항복 이후의 처짐 계산도 가능한 것으로 나타났다.

크리프에 의한 철근콘크리트 보의 처짐 예측 (Prediction of Deflection of Reinforced Concrete Beams due to Creep)

  • 이상순;김용빈;김진근;이수곤
    • 콘크리트학회지
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    • 제10권6호
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    • pp.253-260
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    • 1998
  • 본 논문에서는 장기지속하중을 받는 철근콘크리트 보의 처짐을 계산하는 방법을 제안하였다. 균열단면에 대하여 적합조건 및 평형조건을 적용하여 크리프에 의한 중립축의 변화를 계산하는 효율적인 알고리즘을 제시하였으며, 이 값을 이용하여 임의의 시간에서의 휨강성을 유도하였다. 그리고 유사한 방법으로 비균열단면에서의 휨강성을 계산하고 균열단면과 비균열단면에서 각각 계산된 휨강성을 사용하여 ACI규준식의 유효단면 2차모멘트를 계산하는 것과 유사한 방법으로 휨강성을 계산하여 지속하중을 받는 철근콘크리트 보의 처짐을 예측하는 방법을 제시하였다. 제안된 방법과 기존의 실험결과를 비교하여 볼 때, 제안된 방법이 장기지속하중을 받는 철근콘크리트보의 처짐을 잘 예측하였다.