• Title/Summary/Keyword: 일축대칭단면

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Free Vibration Analysis of Monosymmetric Thin-walled Circular Curved Beam (일축대칭 단면을 갖는 박벽 원형 곡선보의 자유진동 해석)

  • 장승필;김문영;민병철
    • Journal of the Earthquake Engineering Society of Korea
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    • v.2 no.2
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    • pp.57-68
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    • 1998
  • For free vibration of monosymmetric thin-walled circular arches including restrained warping effect, the elastic strain and kinetic energy is derived by introducing displacement fields of circular arches in which all displacement parameters are defined at the centroid axis. The cubic Hermitian polynomials are utilized as shape functions for development of the curved thin-walled beam element having eight degrees of freedom. Analytical solution for free vibration behaviors of simply supported thin-walled curved beam element is presented by evaluating elastic stiffness and mass matrices. In order to illustrate the accuracy and practical usefulness of this study, analytical and numerical solutions for free vibration of circular arches are presented and compared with solutions analyzed by the FEM using straight beam element.

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A Study on Capacity Evaluation for Singly Symmetric Stepped Beam with Pure Bending (순수 휨하중 받는 일축대칭 스텝보의 성능평가기법에 관한 연구)

  • Oh, Jeong-Jae;Kim, Yong-Hee;Park, Jong-Sub;Oh, Byung-Sam
    • Proceedings of the KAIS Fall Conference
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    • 2008.11a
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    • pp.105-108
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    • 2008
  • 본 연구에서는 기존에 수행된 균일단면을 가지는 I형 보의 좌굴 강도에 대한 해석적?이론적 연구를 토대로 일축대칭을 이루는 변단면 I형보의 좌굴강도를 산정하고자 범용구조해석프로그램 ABAQUS (2007)를 이용하여 유한요소해석을 실시하였다. 유한요소해석에는 4절점 쉘요소인 S4R이 사용되었고, 플랜지 길이방향 비, 너비방향 비, 두께의 비로 일축대칭 스텝보를 사용하였으며, 균일모멘트를 작용시켰다. 개발된 좌굴강도 제안식은 해석결과와 비교하여 -11%~2%의 오차범위를 나타내었다. 본 연구결과는 다양한 형식의 일축대칭 I형보가 사용되는 빌딩 및 교량 구조물의 경제적이고 합리적인 설계에 활용 될 수 있을 것이다.

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Numerical Analysis of Inelastic Lateral Torsional Buckling Strength of HSB800 Steel Plate Girder with Monosymmetric Section (일축대칭단면 HSB800 강재 플레이트거더의 비탄성 횡비틂좌굴강도의 해석적 평가)

  • Park, Yong Myung;Lee, Kun Joon;Choi, Byung Ho;Hwang, Min O
    • Journal of Korean Society of Steel Construction
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    • v.25 no.2
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    • pp.153-164
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    • 2013
  • In this paper, lateral-torsional buckling(LTB) strength of HSB800 high strength steel plate girder with monosymmetric section under uniform moment was evaluated by nonlinear analysis. The unbraced length in inelastic LTB range was considered for the sections whose smaller or larger flange is in compression with slender, noncompact and compact web. Analyses of SM490 steel girders were first performed with the single-panel and three-panel model to judge the validity of the constructed models by comparing those results with Eurocode 3, AASHTO and AISC codes. By using the same models, LTB strength of HSB800 girder was evaluated and it was found that the sections whose smaller flange is in compression with noncompact flange-slender/noncompact web could not reach the flexural strength of the design codes.

Elastic Buckling of Monosymmetric I-beams considering Load Height Effects (하중고 효과를 고려한 일축대칭 I형보의 탄성 좌굴)

  • Ryu, Hyo Jin;Park, Gyung Hyeon;Kim, Jung Hun;Lim, Nam Hyoung
    • Journal of Korean Society of Steel Construction
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    • v.20 no.1
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    • pp.175-181
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    • 2008
  • Finite element buckling analyses of the monosymmetric I-beams subjected to t ransverse loading applied at different heights with respect to the mid-height of the cross section were conducted. Transverse loads consisting of a mid-span point load and a uniformly distributed load were considered in the investigation. The method suggested in the SRC Guide was compared with the finite element method (FEM) results. This paper presents a more accurate moment gradient correction factor for monosymetric I-beams considering the load height effect. The applicability of this new design method is limited to monosymmetric I-beams in which the degree of monosymetry, ${\rho}$, is from 0.1 to 0.9.

A Study on Inelastic Behavior of Monosymmetric Singly Stepped Beam Subjected to Uniform Load (등분포 하중을 받는 일축대칭 일단 스텝보의 비탄성 거동 특성 고찰)

  • Park, Yi-Seul;Park, Jong-Sub
    • Proceedings of the KAIS Fall Conference
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    • 2012.05b
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    • pp.738-740
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    • 2012
  • 최근 변단면 거더의 경제성을 고려하여 장경간 거더 교량과 강골조 구조물에 변단면보의 사용이 증가하고 있으며, 고강도 강의 등장으로 인해 변단면보의 정확한 좌굴 강도의 평가가 매우 중요시 되고 있다. 본 논문에서는 기존에 연구된 탄성 횡-비틀림 좌굴 강도에 관한 연구를 바탕으로하여 별로 비탄성 구간에 비지지 길이가 존재하는 일축대칭 I형 변단면보의 횡-비틀림 좌굴 강도 해석을 실시하였다. 해석에는 유한요소해석프로그램인 ABAQUS(2007)가 사용되었으며, MINITAB(2006)을 이용하여 간편한 설계식을 제안하고 있다. 일단 계단식 단면을 가지는 보에 대하여 고려하였으며, 플랜지 길이 방향 비, 너비방향 비, 두께의 비로 계단식 I형 보를 나타내었다. 집중 하중을 적용시켰으며 비선형 해석을 위해 잔류응력 및 초기변형과 재료비선형을 고려하였다. 본 연구 결과에서 제안된 식은 향후 다양한 하중이 작용하는 비탄성 횡-비틀림 좌굴 강도에 대한 연구에 많은 도움이 될 것이다.

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Experimental Study on Global Buckling of Singly Symmetric FRP Members (일축대칭 FRP 부재의 전체좌굴에 관한 실험적 연구)

  • Lee, Seungsik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.1A
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    • pp.99-106
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    • 2006
  • Due to single symmetry of cross section, T-shaped members are likely to buckle in a flexural-torsional mode when they are subjected to axial compression. Therefore, the flexural-torsional buckling can be regarded as a governing mode of global buckling. An experimental program has been carried out to investigate the flexural-torsional buckling behavior of pultruded T-shaped members. Two types of pultruded members were tested in the experiment, and they were made of either E-glass/vinylester or E-glass/polyester. Lay-up and thickness of reinforcing layers, volume fractions of each constituents in layers, mechanical properties were experimentally determined. Two sets of knife edge fixure were used to simulate simple support condition for flexure and twisting, and the lateral displacements and the angle of twist were measured using three potentiometers. Every specimen buckled in a flexural-torsional mode, and most of the specimens showed post-buckling strength.

Moment Gradient Factor for Lateral Torsional Buckling Strength of Monosymmetric Stepped I-beam Subjected to Uniform Moment

  • Gelera, Kathleen Mae;Park, Jong-Sup
    • Journal of the Korean Society of Hazard Mitigation
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    • v.10 no.2
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    • pp.7-13
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    • 2010
  • Stepped I-beams having increased moment of inertia at one end (singly stepped beam) or both ends (doubly stepped beams) can often be seen in construction of bridges due to material economy and easy fabrication of the section. This paper presents the results of the parametric study of lateral torsional buckling of monosymmetric stepped I-beams with constant depth subjected to uniform moment. Design recommendations were made based on the finite element results of the models having different combinations of monosymmetric ratio, stepped length ratio, flange thickness ratio and flange width ratio. The proposed approximation is acceptable based on the parameters given having mostly conservative results. The proposed equation can be further used to extend the study to different loading conditions.

A Study on the Evaluation of elastic buckling strength of Singly Symmetric I-Beams (일축대칭 I형보의 탄성좌굴강도 산정에 관한 연구)

  • Ku, So-Yeun;Ryu, Hyo-Jin;Lim, Nam-Hyoung;Lee, Jin-Ok
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.79-82
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    • 2008
  • The elastic critical moment of I-beams subjected to moment is directly affected by the following factors; loading type; loading position with respect to the mid-height of the cross section; end restraint conditions. Most design specifications usually provide buckling solutions derived for uniform moment loading condition and account for variable moment along the unbraced length with a moment gradient correction factor applied to these solutions. In order for the method in the SSRC Guide to be applicable for singly symmetric I-beams, improved moment gradient correction factors were proposed in this study. Finite element buckling analyses of singly symmetric I-beams subjected to transverse loading applied at different heights with respect to the mid-height of the cross section were conducted. Transverse loads consisting of a mid-span point load and a uniformly distributed load were considered in the investigation.

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Coupled Flexural-Torsional Vibrations of Timoshenko Beams of Monosymmetric Cross-Section including Warping (워핑을 고려한 일축 대칭단면을 갖는 Timoshenko보의 휨-비틀림 연성진동)

  • 이병구;오상진;진태기;이종국
    • Journal of KSNVE
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    • v.9 no.5
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    • pp.1012-1018
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    • 1999
  • This paper deals with the coupled flexural-torsional vibrations of Timoshenko beams with monosymmetric cross-section. The governing differtial equations for free vibration of such beams are derived and solved numerically to obtain frequencies and mode shapes. Numerical results are calculated for three specific examples of beams with free-free, clamped-free, hinged-hinged, clamped-hinged and clamped-clamped end constraints. The effect of warping stiffess on the natural frequencies and mode shapes is discussed and it is concluded that substantial error can be incurred if the effect is ignored.

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Evaluation of Flexural Strength of Hybrid Girder composed of HSB800 and HSB600 Steel (HSB800 및 HSB600 강재를 적용한 하이브리드거더의 휨강도 평가)

  • Park, Yong Myung;Kang, Ji Hoon;Lee, Kun Joon;Kim, Hee Soon
    • Journal of Korean Society of Steel Construction
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    • v.26 no.6
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    • pp.581-594
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    • 2014
  • In this paper, flexural resistance of hybrid girder under uniform bending moment was evaluated, which is composed of HSB800 and HSB600 steel for the flange and web, respectively. Doubly-symmetric and monosymmetric sections with noncompact or compact flange and slender, noncompact or compact web were considered. Nonlinear analyses with 3-dim. shell element model were performed to determine the 'flexural resistance of section' and the 'lateral torsional buckling strength' by taking initial imperfection and residual stress into account. The numerical results were compared with the AASHTO LRFD and Eurocode 3 specifications and also the applicability of AASHTO LRFD appendix A6 was examined for the sections with noncompact and compact web.