• 제목/요약/키워드: ductility

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Combined strain gradient and concrete strength effects on flexural strength and ductility design of RC columns

  • Chen, M.T.;Ho, J.C.M.
    • Computers and Concrete
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    • 제15권4호
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    • pp.607-642
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    • 2015
  • The stress-strain relationship of concrete in flexure is one of the essential parameters in assessing the flexural strength and ductility of reinforced concrete (RC) columns. An overview of previous research studies revealed that the presence of strain gradient would affect the maximum concrete stress developed in flexure. However, no quantitative model was available to evaluate the strain gradient effect on concrete under flexure. Previously, the authors have conducted experimental studies to investigate the strain gradient effect on maximum concrete stress and respective strain and developed two strain-gradient-dependent factors k3 and ko for modifying the flexural concrete stress-strain curve. As a continued study, the authors herein will extend the investigation of strain gradient effects on flexural strength and ductility of RC columns to concrete strength up to 100 MPa by employing the strain-gradient-dependent concrete stress-strain curve using nonlinear moment-curvature analysis. It was evident from the results that both the flexural strength and ductility of RC columns are improved under strain gradient effect. Lastly, for practical engineering design purpose, a new equivalent rectangular concrete stress block incorporating the combined effects of strain gradient and concrete strength was proposed and validated. Design formulas and charts have also been presented for flexural strength and ductility of RC columns.

탄소강의 열간 연성에 미치는 저주기 피로 시기와 냉각속도의 영향 (Effects of Onset Time of Fatigue and Cooling Rate on Hot Ductility of Plain Carbon Steel)

  • 박태은;이운해;손광석;이성근;김인수;임창희;김동규
    • 대한금속재료학회지
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    • 제48권3호
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    • pp.210-217
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    • 2010
  • The effects of cooling rate and onset time of fatigue test on hot ductility of plain carbon steels containing 0.06$\sim$0.8 wt.% carbon were investigated at various temperatures. The tensile tested specimen after fatigue strain during cooling showed higher hot ductility than the specimen fatigued and tensile-strained after cooling. With a decreasing cooling rate from solutionizing temperature to test temperature, hot ductility was increased in all temperature ranges, typically in the trough region, and the minimum point of ductility moved to a lower temperature. Also, the depth and width of the trough decreased with lowering the cooling rate.

A Simplified Steel Beam-To-Column Connection Modelling Approach and Influence of Connection Ductility on Frame Behaviour in Fire

  • Shi, Ruoxi;Huang, Shan-Shan;Davison, Buick
    • 국제초고층학회논문집
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    • 제7권4호
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    • pp.343-362
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    • 2018
  • A simplified spring connection modelling approach for steel flush endplate beam-to-column connections in fire has been developed to enable realistic behaviour of connections to be incorporated into full-scale frame analyses at elevated temperature. Due to its simplicity and reliability, the proposed approach permits full-scale high-temperature frame analysis to be conducted without high computational cost. The proposed simplified spring connection modelling approach has been used to investigate the influence of connection ductility (both axial and rotational) on frame behaviour in fire. 2D steel and 3D composite frames with a range of beam spans were modelled to aid the understanding of the differences in frame response in fire where the beam-to-column connections have different axial and rotational ductility assumptions. The modelling results highlight that adopting the conventional rigid or pinned connection assumptions does not permit the axial forces acting on the connections to be accurately predicted, since the axial ductility of the connection is completely neglected when the rotational ductility is either fully restrained or free. By accounting for realistic axial and rotational ductilities of beam-to-column connections, the frame response in fire can be predicted more accurately, which is advantageous in performance-based structural fire engineering design.

Experimental study on seismic behavior of frame structures composed of concrete encased columns with L-shaped steel section and steel beams

  • Zeng, Lei;Ren, Wenting;Zou, Zhengtao;Chen, Yiguang;Xie, Wei;Li, Xianjie
    • Earthquakes and Structures
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    • 제16권1호
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    • pp.97-107
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    • 2019
  • The frame structures investigated in this paper is composed of Concrete encased columns with L-shaped steel section and steel beams. The seismic behavior of this structural system is studied through experimental and numerical studies. A 2-bay, 3-story and 1/3 scaled frame specimen is tested under constant axial loading and cyclic lateral loading applied on the column top. The load-displacement hysteretic loops, ductility, energy dissipation, stiffness and strength degradation are investigated. A typical failure mode is observed in the test, and the experimental results show that this type of framed structure exhibit a high strength with good ductility and energy dissipation capacity. Furthermore, finite element analysis software Perform-3D was conducted to simulate the behavior of the frame. The calculating results agreed with the test ones well. Further analysis is conducted to investigate the effects of parameters including concrete strength, column axial compressive force and steel ratio on the seismic performance indexes, such as the elastic stiffness, the maximum strength, the ductility coefficient, the strength and stiffness degradation, and the equivalent viscous damping ratio. It can be concluded that with the axial compression ratio increasing, the load carrying capacity and ductility decreased. The load carrying capacity and ductility increased when increasing the steel ratio. Increasing the concrete grade can improve the ultimate bearing capacity of the structure, but the ductility of structure decreases slightly.

저탄소강의 열간 연성 거동에 미치는 Cu의 영향 (Effect of Cu on Hot Ductility Behavior of Low Carbon Steel)

  • 손광석;박태은;박병호;김동규
    • 대한금속재료학회지
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    • 제47권4호
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    • pp.217-222
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    • 2009
  • Cu as a tramp element has been reported to encourage transverse cracking upon straightening operation during continuous casting or mini-mill processing. Therefore, the hot workability of steels containing Cu should be investigated. The purpose of the present study was to examine the effect of Cu contents on the hot ductility of low carbon steels by using hot compression test. Hot compression test was carried out using a Gleeble. The specimens were heated to $1300^{\circ}C$ for solution treatment and then held for 300s before cooling at a rate of $1^{\circ}C/s$ to test temperatures in the range of $650{\sim}1150^{\circ}C$ ($50^{\circ}C$ intervals) with strain rate of $5{\times}10^{-3}/s$. In Cu containing steels, the hot ductility was decreased with increasing Cu content at high temperature region which is to be attributed to copper enriched phase formed at scale/steel interface, and low hot ductility with increasing Cu content at low temperature region is attributable to the strengthening of matrix by the formation of ${\varepsilon}-Cu$. The width of ductility trough region was decreased with increasing Cu content.

Evaluation of ductility capacity of steel-timber hybrid buildings for seismic design in Taiwan

  • Chen, Pei-Ching;Su, I-Ping
    • Earthquakes and Structures
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    • 제23권2호
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    • pp.197-206
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    • 2022
  • Recently, steel-timber hybrid buildings have become prevalent worldwide because several advantages of both steel and timber structures are maintained in the hybrid system. In Taiwan, seismic design specification related to steel-timber hybrid buildings remains void. In this study, the ductility capacity of steel-timber hybrid buildings in Taiwanese seismic design specification is first proposed and evaluated using nonlinear incremental dynamic analysis (IDA). Three non-linear structural models, 12-story, 8-story, and 6-story steel-timer hybrid buildings were constructed using OpenSees. In each model, Douglas-fir was adopted to assemble the upper 4 stories as a timber structure while a conventional steel moment-resisting frame was designated in the lower part of the model. FEMA P-695 methodology was employed to perform IDAs considering 44 earthquakes to assess if the ductility capacity of steel-timber hybrid building is appropriate. The analytical results indicate that the current ductility capacity of steel moment-resisting frames can be directly applied to steel-timber hybrid buildings if the drift ratio of each story under the seismic design force for buildings in Taiwan is less than 0.3%. As a result, engineers are able to design a steel-timber hybrid building straightforwardly by following current design specification. Otherwise, the ductility capacity of steel-timber hybrid buildings must be modified which depends on further studies in the future.

고강도 재료를 사용한 철근콘크리트 보 단면의 곡률연성지수 예측 (Predictions of Curvature Ductility Factor of Reinforced Concrete Beam Sections Used High Strength Concrete and Steel)

  • 이형준
    • 대한토목학회논문집
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    • 제33권2호
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    • pp.483-493
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    • 2013
  • 콘크리트 구조물의 대형화에 따라 고강도를 갖는 재료가 최근에 많이 사용되고 있는 추세이다. 고강도 재료의 사용은 역학적 성질 또는 내구성에 있어서는 장점이 있으나 구조물의 연성 거동에는 불리한 것으로 알려져 있다. 철근콘크리트 부재는 강도뿐만 아니라 적절한 연성이 확보되도록 설계가 되어야 하기 때문에 철근콘크리트 보의 연성을 적절하게 평가할 수 있어야 한다. 본 연구에서는 고강도 재료를 사용한 철근콘크리트 보부재의 곡률연성지수의 예측식을 제시하고자 하였다. 이를 위하여 고강도 콘크리트 및 철근을 사용한 직사각형 단면 RC 보의 모멘트-곡률 관계를 해석적 방법으로 계산하여 다양한 철근 배치 조건하에서 콘크리트 및 철근의 강도가 부재의 휨거동 및 곡률연성지수에 미치는 영향을 분석하였고, 단철근 및 복철근 보에 모두 적용할 수 있는 극한상태에서의 압축철근의 응력을 고려한 새로운 곡률연성지수 예측식을 도출하였다. 제안한 곡률연성지수 예측식은 기존의 식과 비교분석하였으며, 단철근 및 복철근 보에서 예측식에 의해 계산된 곡률연성지수는 수치해석에 의해 얻은 곡률연성지수 값을 오차 범위 9% 내에서 예측하는 것으로 나타났다.

원형 철근콘크리트 교각에 대한 연성도 내진설계법의 안전성 (Safety of Ductility Demand Based Seismic Design for Circular RC Bridge Columns)

  • 이재훈;황정길;최진호
    • 콘크리트학회논문집
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    • 제20권2호
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    • pp.193-202
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    • 2008
  • 현행 도로교설계기준의 내진설계기준은 완전연성 설계 개념을 채택함으로써, 과도하게 배근되는 횡구속철근으로 인하여 현장 시공에 어려움을 겪는 사례가 많이 있다. 이것은 한반도와 같은 중 약진직역에서 완전연성이 필요하지 않는 경우가 일반적임에도 불구하고 완전연성을 확보하기 위한 심부 구속철근량이 배근되기 때문이다. 이와 같은 문제점을 해결하기 위한 방안으로 한정연성 설계개념을 도입한 연성도 내진설계법이 제안된 바 있다. 연성도 내진설계법에서는 재료강도와 함께 소요연성도와 형상비를 변수로 하여 횡구속철근량을 결정하는 산정식을 사용하고 있다. 본 논문은 횡구속철근 산정식을 중심으로 연성도 내진설계법의 안전성을 검증함을 목적으로 한다. 국내 외에서 수행된 89개의 원형단면 기둥 실험 결과를 대상으로 변위연성도 안전율을 검토한 결과 1.11$\sim$3.98 사이의 값을 보였으며, 평균 변위연성도 안전율은 1.90으로 충분한 안전율을 보였다. 이 논문에서는 또한 연성도 내진설계법의 구체적인 설계절차도 소개하였으며, 횡구속철근의 설계에 고려되는 주요 변수들이 변위연성도 안전율에 주는 영향도 분석하였다.

Novel steel bracket and haunch hybrid system for post-earthquake retrofit of damaged exterior beam-column sub-assemblages

  • Kanchanadevi, A.;Ramanjaneyulu, K.
    • Structural Engineering and Mechanics
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    • 제73권3호
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    • pp.239-257
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    • 2020
  • In the present study, an innovative steel bracket and haunch hybrid scheme is devised, for retrofitting of earthquake damaged deficient beam-column sub-assemblages. Formulations are presented for evaluating haunch force factor under combined load case of lateral and gravity loads for the design of double haunch retrofit. The strength hierarchies of control and retrofitted beam-column sub-assemblages are established to showcase the efficacy of the retrofit in reversing the undesirable strength hierarchy. Further, the efficacy of the proposed retrofit scheme is demonstrated through experimental investigations carried out on gravity load designed (GLD), non-ductile and ductile detailed beam-column sub-assemblages which were damaged under reverse cyclic loading. The maximum load carried by repaired and retrofitted GLD specimen in positive and negative cycle is 12% and 28% respectively higher than that of the control GLD specimen. Further, the retrofitted GLD specimen sustained load up to drift ratio of 5.88% compared with 2.94% drift sustained by control GLD specimen. Repaired and retrofitted non-ductile specimen, could attain the displacement ductility of three during positive cycle of loading and showed improved ductility well above the expected displacement ductility of three during negative cycle. The hybrid haunch retrofit restored the load carrying capacity of damaged ductile specimen to the original level of control specimen and improved the ductility closer to the expected displacement ductility of five. The total cumulative energy dissipated by repaired and retrofitted GLD, non-ductile and ductile specimens are respectively 6.5 times, 2.31 times, 1.21 times that of the corresponding undamaged control specimens. Further, the damage indices of the repaired and retrofitted specimens are found to be lower than that of the corresponding control specimens. The novel and innovative steel bracket and haunch hybrid retrofit scheme proposed in the present study demonstrated its effectiveness by attaining the required displacement ductility and load carrying capacity and would be an excellent candidate for post-earthquake retrofit of damaged existing RC structures designed according to different design evolutions.

철근 콘크리트 휨부재의 연성지수에 관한 해석적 연구 (Analytical Study on Ductility Index of Reinforced Concrete Flexural Members)

  • 이재훈
    • 대한토목학회논문집
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    • 제14권3호
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    • pp.391-402
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    • 1994
  • 철근 콘크리트구조는 극한하중에서 연성파괴가 일어나도록 하는 것이 가장 중요한 설계개념의 하나이며 단면이 충분한 소성변형능력을 가지고 있을 때에는 한계상태설계법 개념을 도입하여 소성구조해석이나 모멘트 재분배를 수행하여 경제적인 단면을 설계할 수 있다. 따라서 휨연성지수는 설계된 철근 콘크리트 구조물의 휨거동을 예측하는데 뿐만 아니라 모멘트 재분배의 가능성을 판단하는데에도 이용된다. 그러나 휨연성지수 공식은 인장철근이 항복하는 순간의 곡률에 대하여 선형의 콘크리트 압축응력으로 가정하기 때문에 근사값의 휨연성지수를 계산하게 된다. 본 연구에서는 콘크리트와 철근의 응력-변형도 곡선을 이용한 수치해석으로 이론적 정해에 가까운 휨연성지수를 구하고 각 변수에 따른 휨연성지수의 변화와 공식의 오차, 복철근보의 최대철근량은 고찰함으로써 철근콘크리트 구조설계의 참고자료를 제공하고자 하며 모멘트 재분배에 관한 연구에 이용될 수 있는 철근 콘크리트 휨부재의 모멘트-곡률 곡선 모델을 제시하고자 한다.

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