• 제목/요약/키워드: Transverse Displacement

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FRP 횡보강근을 이용한 RC 교각의 내진성능 평가 실험 (Experimental Evaluation for Seismic Performance of RC Bridge Piers with FRP Confinement)

  • 정영수;박진영;박창규;서진원
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2003년도 춘계 학술발표회논문집
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    • pp.377-384
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    • 2003
  • Recently, there are much concerns about new and innovative transverse materials which could be used instead of conventional transverse steel in reinforced concrete bridge piers. FRP materials could be substituted for conventional transverse steel because of their sufficient strength, light weight, easy fabrication, and useful applicability to any shapes of pier sections, such as rectangular or circular sections. The objective of this research is to evaluate the seismic performance of reinforced concrete bridge pier specimens with FRP transverse reinforcement by means of the Quasi-Static test. In the first task, test columns were made using FRP rope, but these specimens appeared to fail at low displacement ductility levels due to insufficient confinement of strand extension itself. Therefore, the second task was to evaluate the seismic performance of test specimens transversely confined with FRP band. Although FRP banded specimens showed lower seismic performance than the specimen with spiral reinforcing steel, it satisfied with the response modification factor, 3, required for the single column of Korea bridge roadway design code. It was concluded that FRP band could be efficiently substituted for conventional reinforcing steel.

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강판피복과 CFRP를 이용한 손상된 교각의 내진보수 (Seismic Repair of Damaged RC columns with Steel and CFRP Jackets)

  • 최상현;이영호;이학은;염광수
    • 한국지진공학회논문집
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    • 제9권3호
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    • pp.69-75
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    • 2005
  • 본 논문에서는 RC 교가의 보수${\cdot}$보강 시 사용되는 강판피복과 CFRP의 내진 보수성능을 비교하고, 횡방향 철근비가 강판과 CFRP로 보수된 실험체의 성능에 미치는 영향을 분석하였다. 이를 위하여 다른 횡철근비를 갖는 3개의 교각 실험체를 각 3개씩 총 9개를 제작하여 보수 전과 강판 및 CFRP보수 후의 거동을 비교하였다. 비교에 사용된 거동은 이력거동과 극한거동이며 이러한 거동은 반복하중 및 단조증가하중실험의 수행을 통하여 구하였다. 각 횡철근비 및 보수방법에 대하여 이력거동, 최대하중 및 최대변위를 비교한 결과 강판과 CFRP로 보수된 실험체의 변위연성과 최대하중이 증가하였음을 확인하였다. 또한 횡방향 철근비가 증가함에 따라서 실험체의 변위연성이 증가하였고, 소성힌지의 위치도 높아짐을 알 수 있었다.

Experimental investigations of the seismic performance of bridge piers with rounded rectangular cross-sections

  • Shao, Guangqiang;Jiang, Lizhong;Chouw, Nawawi
    • Earthquakes and Structures
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    • 제7권4호
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    • pp.463-484
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    • 2014
  • Solid piers with a rounded rectangular cross-section are widely used in railway bridges for high-speed trains in China. Compared to highway bridge piers, these railway bridge piers have a larger crosssection and less steel reinforcement. Existing material models cannot accurately predict the seismic behavior of this kind of railway bridge piers. This is because only a few parameters, such as axial load, longitudinal and transverse reinforcement, are taken into account. To enable a better understanding of the seismic behavior of this type of bridge pier, a simultaneous influence of the various parameters, i.e. ratio of height to thickness, axial load to concrete compressive strength ratio and longitudinal to transverse reinforcements, on the failure characteristics, hysteresis, skeleton curves, and displacement ductility were investigated. In total, nine model piers were tested under cyclic loading. The hysteretic response obtained from the experiments is compared with that obtained from numerical studies using existing material models. The experimental data shows that the hysteresis curves have significantly pinched characteristics that are associated with small longitudinal reinforcement ratios. The displacement ductility reduces with an increase in ratio of axial load to concrete compressive strength and longitudinal reinforcement ratio. The experimental results are largely in agreement with the numerical results obtained using Chang-Mander concrete model.

Elastic lateral-distortional buckling of I-beams and the Meck Plot

  • Zirakian, Tadeh;Nojoumi, Seyed Ali
    • Structural Engineering and Mechanics
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    • 제37권3호
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    • pp.297-307
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    • 2011
  • Meck Plot is an adapted version of the well-known Southwell method to the case of lateral-torsional buckling, which indeed reflects the physical inter-dependence of lateral flexure (lateral displacement) and torsion (rotation) in the structure. In the recent reported studies, it has been shown experimentally and theoretically that lateral displacement of an I-beam undergoing elastic lateral-distortional mode of buckling is interestingly directly coupled with other various deformation characteristics such as web transverse strain, web longitudinal strain, vertical deflection, and angles of twist of top and bottom flanges, and consequently good results have been obtained as a result of application of the Meck's method on lateral displacement together with each of the aforementioned deformation variables. In this paper, it is demonstrated that even web transverse and longitudinal strains, vertical deflection, and angles of twist of top and bottom flanges of an I-beam undergoing elastic lateral-distortional buckling are two-by-two directly coupled and the application of the Meck Plot on each pair of these deformation variables may still yield reliable predictions for the critical buckling load.

A new refined hyperbolic shear deformation theory for laminated composite spherical shells

  • Kada, Draiche;Abdelouahed, Tounsi
    • Structural Engineering and Mechanics
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    • 제84권6호
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    • pp.707-722
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    • 2022
  • In this study, a new refined hyperbolic shear deformation theory (RHSDT) is developed using an equivalent single-layer shell displacement model for the static bending and free vibration response of cross-ply laminated composite spherical shells. It is based on a new kinematic in which the transverse displacement is approximated as a sum of the bending and shear components, leading to a reduction of the number of unknown functions and governing equations. The proposed theory uses the hyperbolic shape function to account for an appropriate distribution of the transverse shear strains through the thickness and satisfies the boundary conditions on the shell surfaces without requiring any shear correction factors. The shell governing equations for this study are derived in terms of displacement from Hamilton's principle and solved via a Navier-type analytical procedure. The validity and high accuracy of the present theory are ascertained by comparing the obtained numerical results of displacements, stresses, and natural frequencies with their counterparts generated by some higher-order shear deformation theories. Further, a parametric study examines in detail the effect of both geometrical parameters (i.e., side-to-thickness ratio and curvature-radius-to-side ratio), on the bending and free vibration response of simply supported laminated spherical shells, which can be very useful for many modern engineering applications and their optimization design.

Transverse reinforcement for confinement at plastic hinge of circular composite hollow RC columns

  • Won, Deok Hee;Han, Taek Hee;Kim, Seungjun;Park, Woo-Sun;Kang, Young Jong
    • Computers and Concrete
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    • 제17권3호
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    • pp.387-406
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    • 2016
  • Confined transverse reinforcement was arranged in a plastic hinge region to resist the lateral load that increased the lateral confinement effect in the bridge substructure. Columns increased the seismic performance through securing stiffness and ductility. The calculation method of transverse reinforcements at plastic hinges is reported in the AASHTO-LRFD specification. This specification was only proposed for solid reinforced concrete (RC) columns. Therefore, if this specification is applied for another column as composite column besides the solid RC column, the column cannot be properly evaluated. The application of this specification is particularly limited for composite hollow RC columns. The composite hollow RC column consists of transverse, longitudinal reinforcements, cover concrete, core concrete, and an inner tube inserted in the hollow face. It increases the ductility, strength, and stiffness in composite hollow RC columns. This paper proposes a modified equation for economics and rational design through investigation of displacement ductility when applying the existing specifications at the composite hollow RC column. Moreover, a parametric study was performed to evaluate the detailed behavior. Using these results, a calculation method of economic transverse reinforcements is proposed.

횡방향철근 상세에 따른 원형기둥의 내진성능 (Seismic Performance of Circular Columns considering Transverse Steel Details)

  • 이재훈
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2000년도 춘계 학술발표회 논문집 Proceedings of EESK Conference-Spring
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    • pp.259-266
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    • 2000
  • This study was conducted to investigate the seismic behavior assessment of circular reinforcement concrete bridge piers particularly with regard to assessing the displacement ductility curvature ductility response modification factor(R) and plastic hinge region etc, The experimental variables of bridge piers test consisted of transverse steel details amount and spacing different axial load levels etc. The test results indicated that reinforcement concrete bridge piers with confinement steel by the code specification exhibited suffcient ductile behavior and seismic performance. Also it is found that current seismic design code specification of confinement steel requirements may be revised.

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Transient response of rhombic laminates

  • Anish, Anish;Chaubey, Abhay K.;Vishwakarma, Satyam;Kumar, Ajay;Fic, Stanislaw;Barnat-Hunek, Danuta
    • Structural Engineering and Mechanics
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    • 제70권5호
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    • pp.551-562
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    • 2019
  • In the present study, a suitable mathematical model considering parabolic transverse shear strains for dynamic analysis of laminated composite skew plates under different types of impulse and spatial loads was presented for the first time. The proposed mathematical model satisfies zero transverse shear strain at the top and bottom of the plate. On the basis of the cubic variation of thickness coordinate in in-plane displacement fields of the present mathematical model, a 2D finite element (FE) model was developed including skew transformations in the mathematical model. No shear correction factor is required in the present formulation and damping effect was also incorporated. This is the first FE implementation considering a cubic variation of thickness coordinate in in-plane displacement fields including skew transformations to solve the forced vibration problem of composite skew plates. The effect of transverse shear and rotary inertia was incorporated in the present model. The Newmark-${\beta}$ scheme was adapted to perform time integration from step to step. The $C^0$ FE formulation was implemented to overcome the problem of $C^1$ continuity associated with the cubic variation of thickness coordinate in in-plane displacement fields. The numerical studies showed that the present 2D FE model predicts the result close to the analytical results. Many new results varying different parameter such as skew angles, boundary conditions, etc. were presented.

인발시험과 이론식을 이용한 강재스트립 보강재에 설치된 지지부재의 지지저항 특성 평가 (Evaluation on Bearing Resistance of Transverse Members in Steel Strip Reinforcement using Pullout Tests and Theoretical Equations)

  • 한중근;윤원일;홍기권;홍원표;이광우;조삼덕
    • 한국지반신소재학회논문집
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    • 제9권2호
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    • pp.33-40
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    • 2010
  • 본 연구에서는 강재스트립 보강재에 지지부재가 결속된 형태의 보강재에 대하여 인발시험을 수행하였으며, 인발시험결과와 기존에 제안된 지지저항 평가식에 의한 결과를 비교함으로서 인발변위 50mm일 때의 인발력과 최대 인발력에 의한 지지부재의 지지저항 특성을 평가하였다. 인발변위 50mm일 때의 인발력 적용에 의한 지지저항응력(${\sigma}^{\prime}_b$)은 수직응력 증가에 따라 전면전단파괴에서 펀칭전단파괴로 근접하였으며, 지지부재 개수의 증가에 따라서는 펀칭전단파괴에서 전면전단파괴로 근접하는 것으로 확인되었다. 최대 인발력을 적용한 지지저항응력(${\sigma}^{\prime}_b$) 은 수직응력 조건 및 지지부재 개수와 관계없이 전면전단파괴에 근접하였지만, 보강토옹벽의 허용변위를 고려한다면 설계 적용에는 무리가 있을 것으로 분석되었다. 그리고 Prandtl의 소성이론 및 원주공동확장이론에 의한 이론식을 이용한 지지저항 평가는 인발시험결과가 Prandtl의 소성이론을 이용한 예측결과에 보다 가까운 것으로 확인되었다. 또한 Prandtl의 소성이론 및 원주공동확장이론을 이용한 지지저항 평가모델은 전면전단파괴와 펀칭전단파괴모델 사이에 위치하는 것을 확인하였다.

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The MIN-N family of pure-displacement, triangular, Mindlin plate elements

  • Liu, Y. Jane;Riggs, H.R.
    • Structural Engineering and Mechanics
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    • 제19권3호
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    • pp.297-320
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    • 2005
  • In recent years the pure displacement formulation for plate elements has not been as popular as other formulations. We revisit the pure displacement formulation for shear-deformable plate elements and propose a family of N-node, displacement-compatible, fully-integrated, pure-displacement, triangular, Mindlin plate elements, MIN-N. The development has been motivated by the relative simplicity of the pure displacement formulation and by the success of the existing 3-node plate element, MIN3. The formulation of MIN3 is generalized to obtain the MIN-N family, which possesses complete, fully compatible kinematic fields, in which the interpolation functions for transverse displacement are one degree higher than those for rotations. General element-level formulas for the thin-limit Kirchhoff constraints are developed. The 6-node, 18 degree-of-freedom element MIN6, with cubic displacement and quadratic rotations, is implemented and tested extensively. Numerical results show that MIN6 exhibits good performance for both static and dynamic analyses in the linear, elastic regime. The results illustrate that the fully-integrated MIN6 element has excellent performance in the thin limit, even for coarse meshes, and that it does not require shear relaxation.