• 제목/요약/키워드: restrained beam

검색결과 127건 처리시간 0.024초

Analysis of restrained steel beams subjected to heating and cooling Part I: Theory

  • Li, Guo-Qiang;Guo, Shi-Xiong
    • Steel and Composite Structures
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    • 제8권1호
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    • pp.1-18
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    • 2008
  • Observations from experiments and real fire indicate that restrained steel beams have better fire-resistant capability than isolated beams. Due to the effects of restraints, a steel beam in fire condition can undergo very large deflections and the run away damage may be avoided. In addition, axial forces will be induced with temperature increasing and play an important role on the behaviour of the restrained beam. The factors influencing the behavior of a restrained beam subjected to fire include the stiffness of axial and rotational restraints, the load type on the beam and the distribution of temperature in the cross-section of the beam, etc. In this paper, a simplified model is proposed to analyze the performance of restrained steel beams in fire condition. Based on an assumption of the deflection curve of the beam, the axial force, together with the strain and stress distributions in the beam, can be determined. By integrating the stress, the combined moment and force in the cross-section of the beam can be obtained. Then, through substituting the moment and axial force into the equilibrium equation, the behavior of the restrained beam in fire condition can be worked out. Furthermore, for the safety evaluation and repair after a fire, the behaviour of restrained beams during cooling should be understood. For a restrained beam experiencing very high temperatures, the strength of the steel will recover when temperature decreases, but the contraction force, which is produced by thermal contraction, will aggravate the tensile stresses in the beam. In this paper, the behaviour of the restrained beam in cooling phase is analyzed, and the effect of the contraction force is discussed.

Analysis of restrained heated steel beams during cooling phase

  • Li, Guo-Qiang;Guo, Shi-Xiong
    • Steel and Composite Structures
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    • 제9권3호
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    • pp.191-208
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    • 2009
  • Observations from experiments and real fire indicate that restrained steel beams have better fire-resistant capability than isolated beams. Due to the effects of restraints, a steel beam in fire condition can undergo very large deflections and the run away damage may be avoided. However disgusting damages may occur in the beam-to-column connections, which is considered to be mainly caused by the enormous axial tensile forces in steel beams resulted from temperature decreasing after fire dies out. Over the past ten years, the behaviour of restrained steel beams subjected to fire during heating has been experimentally and theoretically investigated in detail, and some simplified analytical approaches have been proposed. While the performance of restrained steel beams during cooling has not been so deeply studied. For the safety evaluation and repair of steel structures against fire, more detailed investigation on the behaviour of restrained steel beams subjected to fire during cooling is necessary. When the temperature decreases, the elastic modulus and yield strength of steel recover, and the contraction force in restrained steel beams will be produced. In this paper, an incremental method is proposed for analyzing the behaviour of restrained steel beams subjected to cooling. In each temperature decrement, the development of deformation and internal forces of a restrained beam is divided into four steps, in order to consider the effect of the recovery of the elastic modulus and strength of steel and the contraction force generated by temperature decrease in the beam respectively. At last, the proposed approach is validated by FE method.

Effect of bolted splice within the plastic hinge zone on beam-to-column connection behavior

  • Vatansever, Cuneyt;Kutsal, Kutay
    • Steel and Composite Structures
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    • 제28권6호
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    • pp.767-778
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    • 2018
  • The purpose of this study is to investigate how a fully restrained bolted beam splice affects the connection behavior as a column-tree connection in steel special moment frames under cyclic loading when located within the plastic hinge zone. The impacts of this attachment in protected zone are observed by using nonlinear finite element analyses. This type of splice connection is designed as slip-critical connection and thereby, the possible effects of slippage of the bolts due to a possible loss of pretension in the bolts are also investigated. The 3D models with solid elements that have been developed includes three types of connections which are the connection having fully restrained beam splice located in the plastic hinge location, the connection having fully restrained beam splice located out of the plastic hinge and the connection without beam splice. All connection models satisfied the requirement for the special moment frame connections providing sufficient flexural resistance, determined at column face stated in AISC 341-16. In the connection model having fully restrained beam splice located in the plastic hinge, due to the pretension loss in the bolts, the friction force on the contact surfaces is exceeded, resulting in a relative slip. The reduction in the energy dissipation capacity of the connection is observed to be insignificant. The possibility of the crack occurrence around the bolt holes closest to the column face is found to be higher for the splice connection within the protected zone.

합성반강접 CFT기둥-보 접합부 구조의 경제성 평가 (The Structural Economical Efficiency Evaluation of Partially Restrained Composite CFT Column-to-Beam Connection)

  • 김선희;방중석;박영욱;최성모
    • 한국강구조학회 논문집
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    • 제24권1호
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    • pp.109-117
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    • 2012
  • 연구대상은 콘크리트 충전강관 (Concrete Filled steel tube)기둥과 보의 접합부를 합성반강접으로 적용한 구조물의 설계 적용에 관한 것이다. 합성반강접으로 기둥접합부의 강성을 조절함으로서 구조적 안전성을 확보하고 경제적인 부재를 적용하고자 하였다. 저층건물을 모멘트골조로 구조물의 안정성을 검토한 결과 합성작용으로 인하여 합성반강접을 이용하면 횡강성이 증대하여 저층건물의 경우 특별한 횡 보강재 없이 저항할 수 있음을 확인 하였다. 고층건물의 경우 모멘트골조가 횡저항 분담이 10%정도 되었으며 반강접 비율은 60%정도가 적절하였다. 경제적인 면에서 보 부재는 등분포하중이 작용하는 경우는 반강접 효과가 크나 집중하중이 작용하는 보는 반강접 효과가 크지 않았으며 등분포의 경우 60% 반강접이 단부 모멘트 저감에 따른 경제성이 가장 좋은 것으로 분석되었다. 단부 모멘트는 약 25% 감소되는 것을 확인 할 수 있었다.

A Numerical Investigation on Restrained High Strength Q460 Steel Beams Including Creep Effect

  • Wang, Weiyong;Zhang, Linbo;He, Pingzhao
    • 국제강구조저널
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    • 제18권5호
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    • pp.1497-1507
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    • 2018
  • Most of previous studies on fire resistance of restrained steel beams neglected creep effect due to lack of suitable creep model. This paper presents a finite element model (FEM) for accessing the fire resistance of restrained high strength Q460 steel beams by taking high temperature Norton creep model of steel into consideration. The validation of the established model is verified by comparing the axial force and deflection of restrained beams obtained by finite element analysis with test results. In order to explore the creep effect on fire response of restrained Q460 steel beams, the thermal axial force and deflection of the beams are also analyzed excluding creep effect. Results from comparison infer that creep plays a crucial role in fire response of restrained steel beam and neglecting the effect of creep may lead to unsafe design. A set of parametric studies are accomplished by using the calibrated FEM to evaluate the governed factors influencing fire response of restrained Q460 steel beams. The parametric studies indicate that load level, rotational restraint stiffness, span-depth ratio, heating rate and temperature distribution pattern are key factors in determining fire resistance of restrained Q460 steel beam. A simplified design approach to determine the moment capacity of restrained Q460 steel beams is proposed based on the parametric studies by considering creep effect.

제한된 운동을 갖는 외팔보의 진동특성 (Vibration Characteristics of a Cantilevered Beam with Restrained Motions)

  • 최봉문;류봉조;윤충섭
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2000년도 춘계학술대회 논문집
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    • pp.578-582
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    • 2000
  • When the motion of vibrating structure is restrained due to the adjacent objects, the frequencies and the mode shapes of the structure change and its vibration characteristics becomes unpredictable, in general. Although the importance of the study on this type of vibration model increases in many engineering areas, most studies conducted so far are limited to the theoretical study on dynamic responses of the structure with the separation plate, including some experimental works. In the paper, both numerical analyses and experiments are conducted to study the chaotic vibration characteristics and the dynamic response of a fixed-free beam which has restrained motion at the free end by the separation plates. Results are presented for various magnetic forces and gaps between stops.

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이동질량에 의한 탄성 지지된 보의 동적응답 실험 (Experiments on Dynamic Response of an Elastically Restrained Beam under a Moving Mass)

  • 이종원;류봉조;이규섭;김효준
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.275-280
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    • 2003
  • This paper discusses on the dynamic responsed of an elastically restrained beam under a moving mass of constant velocity. Governing equations of motion taking into account of all inertia effects of the moving mass were derived by Galerkin's mode summation method, and Runge-Kutta integration method was applied to solve the differential equations. Numerical solutions for dynamic deflections of beams were obtained for the changes of the various parameters (spring stiffness, spring position, mass ratios and velocity ratios of the moving mass). In order to verify the numerical predictions for the dynamic response of the beam, experiments were conducted. Numerical solutions for the dynamic responses of the test beam have a good agreement with experimental ones.

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FRP Sheet와 비좌굴 가새를 적용한 보-기둥 접합부의 횡방향 보강효과에 관한 실험적 연구 (Experimental Investigation of The Lateral Retrofitting Effect of FRP Sheet and Buckling-restrained Braces for Beam-Column Joints)

  • 변은혁;김민숙;이영학;김희철
    • 한국지진공학회논문집
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    • 제15권1호
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    • pp.49-56
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    • 2011
  • FRP Sheet와 비좌굴가새를 적용한 보-기둥 접합부의 보강효과를 평가하기 위하여 보-기둥 접합부 실험체에 축력 및 반복 횡가력을 가하여 실험을 수행하였다. 동일한 크기의 6개의 실험체를 제작하였으며 FRP Sheet의 종류 및 비좌굴 가새의 유무를 변수로 하였다. 실험체의 파괴양상 및 최대하중, 연성지수, 에너지소산능력의 측면에서 실험결과를 분석하였다. 실험결과 CFRP Sheet와 비좌굴가새를 혼용한 보강방법이 가장 우수한 성능을 나타냈다.

Inelastic distortional buckling of hot-rolled I-section beam-columns

  • Lee, Dong-Sik
    • Steel and Composite Structures
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    • 제4권1호
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    • pp.23-36
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    • 2004
  • The inelastic lateral-distortional buckling of doubly-symmetric hot-rolled I-section beam-columns subjected to a concentric axial force and uniform bending with elastic restraint which produce single curvature is investigated in this paper. The numerical model adopted in this paper is an energy-based method which leads to the incremental and iterative solution of a fourth-order eigenproblem, with very rapid solutions being obtained. The elastic restraint considered in this paper is full restraint against translation, but torsional restraint is permitted at the tension flange. Hitherto, a numerical method to analyse the elastic and inelastic lateral-distortional buckling of restrained or unrestrained beam-columns is unavailable. The prediction of the inelastic lateral-distortional buckling load obtained in this study is compared with the inelastic lateral-distortional buckling of restrained beams and the inelastic lateral-torsional buckling solution, by suppressing the out-of-plane web distortion, is published elsewhere and they agree reasonable well. The method is then extended to the lateral-distortional buckling of continuously restrained doubly symmetric I-sections to illustrate the effect of web distortion.

Performance of steel beams at elevated temperatures under the effect of axial restraints

  • Liu, T.C.H.;Davies, J.M.
    • Steel and Composite Structures
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    • 제1권4호
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    • pp.427-440
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    • 2001
  • The growing use of unprotected or partially protected steelwork in buildings has caused a lively debate regarding the safety of this form of construction. A good deal of recent research has indicated that steel members have a substantial inherent ability to resist fire so that additional fire protection can be either reduced or eliminated completely. A performance based philosophy also extends the study into the effect of structural continuity and the performance of the whole structural totality. As part of the structural system, thermal expansion during the heating phase or contraction during the cooling phase in most beams is likely to be restrained by adjacent parts of the whole system or sub-frame assembly due to compartmentation. This has not been properly addressed before. This paper describes an experimental programme in which unprotected steel beams were tested under load while it is restrained between two columns and additional horizontal restraints with particular concern on the effect of catenary action in the beams when subjected to large deflection at very high temperature. This paper also presents a three-dimensional mathematical modelling, based on the finite element method, of the series of fire tests on the part-frame. The complete analysis starts with an evaluation of temperature distribution in the structure at various time levels. It is followed by a detail 3-D finite element analysis on its structural response as a result of the changing temperature distribution. The principal part of the analysis makes use of an existing finite element package FEAST. The effect of columns being fire-protected and the beam being axially restrained has been modelled adequately in terms of their thermal and structural responses. The consequence of the beam being restrained is that the axial force in the restrained beam starts as a compression, which increases gradually up to a point when the material has deteriorated to such a level that the beam deflects excessively. The axial compression force drops rapidly and changes into a tension force leading to a catenary action, which slows down the beam deflection from running away. Design engineers will be benefited with the consideration of the catenary action.