• Title/Summary/Keyword: large deflection beam

검색결과 109건 처리시간 0.024초

Effects of load height application and pre-buckling deflections on lateral buckling of thin-walled beams

  • Mohri, F.;Potier-Ferry, M.
    • Steel and Composite Structures
    • /
    • 제6권5호
    • /
    • pp.401-415
    • /
    • 2006
  • Based on a non-linear model taking into account flexural-torsional couplings, analytical solutions are derived for lateral buckling of simply supported I beams under some representative load cases. A closed form is established for lateral buckling moments. It accounts for bending distribution, load height application and pre-buckling deflections. Coefficients $C_1$ and $C_2$ affected to these parameters are then derived. Regard to well known linear stability solutions, these coefficients are not constant but depend on another coefficient $k_1$ that represents the pre-buckling deflection effects. In numerical simulations, shell elements are used in mesh process. The buckling loads are achieved from solutions of eigenvalue problem and by bifurcations observed on non linear equilibrium paths. It is proved that both the buckling loads derived from linear stability and eigenvalue problem lead to poor results, especially for I sections with large flanges for which the behaviour is predominated by pre-buckling deflection and the coefficient $k_1$ is large. The proposed solutions are in good agreement with numerical bifurcations observed on non linear equilibrium paths.

건축용 프리캐스트 프리스트레스트 역티형 보와 직사각형 보의 휨거동 비교 (Comparison on Flexural Behaviors of Architectural Precast Prestressed Rectangular and Inverted-tee Concrete Beams)

  • 유승룡
    • 콘크리트학회논문집
    • /
    • 제12권6호
    • /
    • pp.75-82
    • /
    • 2000
  • Flexural behaviors of two typical architectural precast beam sections ; inverted tee and rectangular - were compared and investigated. The heights of web in inverted tee beams are generally less than half of beam depth in building structures to accomodate the nib of double-tee where the total building height limited considerably. The inverted-tee beams are designed for parking live load - 500kgf/$\m^2$ and market - 1,200kgf/$\m^2$ according to the currently used typical shape in the domestic market building site in Korea. The bottom dimension and area of rectangular beams are same to those of inverted tee beams to compare the flexural behaviors of two beams. These two beams are also reinforced for similar strength. Four flexural tests are performed on two beams. Following results are obtained from the tests; 1) The rectangular beam is simpler in production, transportation, and election, and more economic than the inverted tee beam for these two beams with same dimension and similar strength. 1) The estimations of flexural strength of two beams by Strength Design Method and Strain Compatibility Method is fully complied with the result of tests. However, Strain Compatibility Method is slightly ore accurate than Strength Design Method. 2) Overall deflections of two type beam under the service loads are less than those of the allowable limit in ACI Code provision. 3) The rectangular beam is failed in large deflection (average 12.56mm large) than those of inverted tee beams. 4) The rectangular and inverted tee beams with 6m span develop initial flexural crackings under the 88% of full service loading even though they designed to satisfy the ACI tensile stress limit provisions.

캔틸레버 보의 과대처짐 해석 (Numerical Analysis of Large Deflections of Cantilever Beams)

  • 이병구
    • 대한토목학회논문집
    • /
    • 제10권1호
    • /
    • pp.1-7
    • /
    • 1990
  • 이 논문은 자유단에 집중하중과 만재 등분포하중이 작용하는 캔틸레버 보의 과대처짐을 해석한 연구이다. 과대처짐을 해석하기 위하여 처짐곡선의 Bernoulli-Euler 미분방정식을 이용하였고, 이 미분방정식을 Runge Kutta method와 Regula Falsi method를 이용하여 수치해석할 수 있는 기법을 개발하였다. 수치해석의 결과로 하중과 자유단의 수평처짐, 수직처짐 및 회전각과의 관계를 무차원화하여 도시하였고 또한 몇 개의 전형적인 과대처짐곡선을 무차원화하여 도시하였다.

  • PDF

Bond strength of reinforcement in splices in beams

  • Turk, Kazim;Yildirim, M. Sukru
    • Structural Engineering and Mechanics
    • /
    • 제16권4호
    • /
    • pp.469-478
    • /
    • 2003
  • The primary aim of this study was to investigate the bond strength between reinforcement and concrete. Large sized nine beams, which were produced from concrete with approximately ${f_c}^{\prime}=30$ MPa, were tested. Each beam was designed to include two bars in tension, spliced at the center of the span. The splice length was selected so that bars would fail in bond, splitting the concrete cover in the splice region, before reaching the yield point. In all experiments, the variable used was the reinforcing bar diameter. In the experiments, beam specimens were loaded in positive bending with the splice in a constant moment region. In consequence, as the bar diameter increased, bond strength and ductility reduced but, however, the stiffnesses of the beams (resistance to deflection) increased. Morever, a empirical equation was obtained to calculate the bond strength of reinforcement and this equation was compared with Orangun et al. (1977) and Esfahani and Rangan (1998). There was a good agreement between the values computed from the predictive equation and those computed from equations of Orangun et al. (1977) and Esfahani and Rangan (1998).

Effects of Replacement Ratio of Recycled Coarse Aggregate on the Shear Performance of Reinforced Concrete Beams without Shear Reinforcement

  • Yun, Hyun-Do;You, Young-Chan;Lee, Do-Heon
    • 토지주택연구
    • /
    • 제2권4호
    • /
    • pp.471-477
    • /
    • 2011
  • This paper will describe the experimental results on the shear behaviors of reinforced concrete (RC) beam with recycled coarse aggregate (RCA). The primary objective of this research is to evaluate the influences of different RCA replacement percentage (i.e, 0%, 30%, 60%, and 100%) on the shear performance of reinforced concrete beams without shear reinforcement. Eight large-scale RC beams without shear reinforcement were manufactured and tested to shear failure. All had a rectangular cross-section with 400mm width ${\times}$ 600mm depth and 6000mm length, and were tested with a shear span-to-depth of 5.1. The results showed that the deflection and shear strength were little affected by the different RCA replacement percentage. Actual shear strength of each RCA beam was compared with the shear strength predicted using the provisions of ACI 318 code and Zsutty'e equation for shear design of RC beams. ACI 318 code predicted the shear strength of RCA reinforced concrete beams well.

Broadband Phase-change Metagrating Design for Efficient Active Reflection Steering

  • Kim, Sun-Je
    • Current Optics and Photonics
    • /
    • 제5권2호
    • /
    • pp.134-140
    • /
    • 2021
  • In this paper, I introduce a novel design method of a high performance nanophotonic beam deflector providing broadband operation, large active tunability, and signal efficiency, simultaneously. By combining thermo-optically tunable vanadium dioxide nano-ridges and a metallic mirror, reconfigurable local optical phase of reflected diffraction beams can be engineered in a desired manner over broad bandwidth. The active metagrating deflectors are systematically designed for tunable deflection of reflection beams according to the thermal phase-change of vanadium dioxide nano-ridges. Moreover, by multiplexing the phase-change supercells, a robust design of actively tunable beam splitter is also verified numerically. It is expected that the proposed intuitive and simple design method would contribute to development of next-generation optical interconnects and spatial light modulators with high performances. The author also envisions that this study would be fruitful for modern holographic displays and three-dimensional depth sensing technologies.

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

  • Li, Guo-Qiang;Guo, Shi-Xiong
    • Steel and Composite Structures
    • /
    • 제8권1호
    • /
    • pp.1-18
    • /
    • 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.

화재시 구조강도에 대한 신뢰성 평가방법의 정립 (Establishment of Fire Reliability Assessment Method for Structural Strength)

  • 박창규
    • 한국산학기술학회논문지
    • /
    • 제18권10호
    • /
    • pp.54-62
    • /
    • 2017
  • 본 논문에서는 해상 구조물들의 화재시 안전성 평가에 대한 연구의 일환으로써 기본적인 구조강도 부재들의 화재시 거동 및 파괴확률을 구해 보았다. 화재에서의 안전성 평가는 부재의 Fire resistance와 화염에 의한 열하중인 Fire severity를 비교하여 이루어질 수 있다고 가정하였다. Fire severity는 육상 건축물에 대한 화재안전 규정인 Eurocode 1의 표준화염 온도변화 곡선과 부재로의 열전달 방정식을 사용하여 부재의 최대온도를 구하게 되며, Fire resistance는 단순 부재의 경우, 간략식과 코드의 활용으로 해결할 수 있지만, FPSO 와 해상 구조물의 복잡성을 고려하여 상용 구조해석 프로그램의 활용을 통하여 탄소성해석 및 대변형등을 고려한 보다 실용적인 부재의 구조강도를 해석하여 주어진 파괴모드에 대한 한계 온도를 구하여 최대온도와 비교하였다. 더불어, Fire resistance 측면에서의 두 접근방식의 비교를 통해서 두 방식의 등가적 성향을 확인하였다. 여기서 Strength, Serviceability, Stability의 세 가지 측면에서 First Hinge, Large Deflection, Buckling의 세 가지 파괴모드를 상정하고 각각에 대한 파괴여부를 확인하였고, 이렇게 구해지는 Fire severity와 Fire resistance의 식에 AFOSM 방법을 적용하여 최종적으로 부재의 파괴확률을 구하는 방식을 통해, 단순 부재인 Beam 및 Plate 예제에 적용하여 구조물의 화재시 거동 및 각 파괴모드에 대한 파괴여부를 구하였다.

광섬유 브래그 격자 센서를 이용한 보 구조물의 3차원 형상 추정 (Three-Dimensional Shape Estimation of Beam Structure Using Fiber Bragg Grating Sensors)

  • 이진혁;김헌영;김대현
    • 대한기계학회논문집A
    • /
    • 제39권3호
    • /
    • pp.241-247
    • /
    • 2015
  • 교량이나 배관과 같이 긴 길이의 구조물은 처짐 및 변형이 발생하기 쉽다. 이러한 구조물의 건전성 감시를 위해서는 국부적인 물리량 측정뿐만 아니라 전체의 형상 감시가 필요하다. 광섬유 브래그 격자(Fiber Bragg Grating; FBG) 센서는 광섬유에 다수의 센서 적용이 가능하여 대형 구조물 감시에 효과적이다. 본 연구에서는 FBG를 이용하여 구조물의 다점에서 변형률을 측정하고, 이를 바탕으로 구조물 전체의 형상 추정을 위한 연구를 수행하였다. 구조물의 정확한 감시가 가능하도록 3차원의 형상 추정을 연구하고 실험적 검증을 수행하였다. 실험 결과 구조물의 변형에 따른 형상 변화의 추정이 가능함을 확인하였고, 추가로 특정 위치에서의 처짐량을 실제 마이크로미터로 측정한 값과 예측된 값을 비교하여 검증하였다.

Timoshenko 보의 진동에 미치는 축방향관성력의 영향에 관하여 (Effects of the Longitudinal Inertia Force on Timoshenko Beam Vibration)

  • 이낙주
    • 대한기계학회논문집
    • /
    • 제2권3호
    • /
    • pp.62-68
    • /
    • 1978
  • The influences of the large amplitude free vibrations of simply supported Timoshenko beams with ends restrained to remain a fixed distance apart and with no axial restraints, which cause a longitudinal elastic force and a longitudinal inertia force, respectively, are investigated. The equations of motion derived by an appropriate linearizarion of the nonlinear strain- displacement relation have nonlinear terms arising from large curvature, longitudinal elastic force and longitudinal inertia force. The fourth order nonlinear partial differential equations for the deflection, can be reduced to the nonlinear ordinary differential equations by means of Galerkin procedure and a modal expansion. The general response and frequensy-amplitude relations are derived by the perturbation method of strained parameters. Comparison with previously published results is made.