• Title/Summary/Keyword: 횡-비틀림 좌굴

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General Response for Lateral-Torsional Buckling of Short I-Beams Under Repeated Loadings (반복하중을 받는 짧은 I형 보의 횡-비틀림 좌굴의 일반적 응답에 관한 고찰)

  • 이상갑
    • Computational Structural Engineering
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    • v.5 no.1
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    • pp.119-132
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    • 1992
  • The objective of this study is to perform extensive parametric studies of the lateral-torsional buckling of short 1-beams under repeated loadings, and to gain a further insight into the lateral-torsional beam buckling problem. A one-dimensional geometrically (fully) nonlinear beam model is used, which includes superposed infinitesimal transverse warping deformation in addition to finite torsional warping deformation. A multiaxial cyclic plasticity model is also implemented to better represent cyclic metal plasticity in conjunction with a consistent return mapping algorithm. The general response for the lateral-torsional buckling of short I-beams under repeated loadings is examined through several parametric studies around the standard case : the material yield strength, the yield plateau, the strain hardening, the kinematic hardening, the residual stresses, the load eccentricity with respect to the shear center, the height of the load with respect to the cross-section of the beam, the location of the load along the length of the beam, the dimensions of the cross-section of the beam and the fixity of the supported end remote from the load.

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A Study on Lateral-Torsional Buckling Strength Equation of Compact T-Beam Subjected to Pure Bending (균일모멘트를 받는 조밀단면 T형보의 횡-비틀림 좌굴강도 기준식에 관한 연구)

  • Park, Jong-Sup;Kim, Yong-Hee;Yi, Gyu-Sei
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.8
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    • pp.2038-2043
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    • 2009
  • This study investigates elastic lateral-torsional buckling(LTB) of T-beams subjected to pure bending using finite element analysis(FEA). The results from the FEA are compared with those from the current American Institute of Steel Council(AISC) Load and Resistance Factor Design(LRFD) Specifications. The comparison indicates that AISC-LRFD provide unsafe values for T-beam subjected to pure bending. Therefore, a new design equation are presented using results from the FEA. The new equation could be easily used to calculate the elastic lateral-torsional buckling moment resistance of T-beam for beam design and to expand the new equation for developing LTB equations of T-beam subjected to general loading conditions such as a concentrated load, distributed load, or a seres of concentrated load.

An Alternative Simplified Approach in Solving for the Inelastic Buckling Strengths of Singly Symmetric Non-Compact Stepped I-Beams (일축대칭 비조밀 스텝 I형보의 비탄성 좌굴강도 산정을 위한 단순방법)

  • Alolod, Shane;Park, Jong Sup
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.39 no.1
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    • pp.123-134
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    • 2019
  • This paper proposed a new design equation for the inelastic lateral torsional buckling (LTB) of singly symmetric stepped I-beams with non-compact flange sections. The proposed equation was generated using a finite element program, ABAQUS, and a statistical program, MINITAB. The parameters used were the stepped beams parameters; ${\alpha}$, ${\beta}$, and ${\gamma}$ and the length-to-height ratio ($L_b/h$) of the beam. The proposed equation was further validated by means of experimental test, where beams were subjected to four-point bending and supported by roller and lateral braces near the end supports. In addition, finite element models were simulated using the same parameters used in the experimental test to verify the results of the test conducted. It was proved that LTB capacity calculated from the proposed equation is accurate and conservative in comparison with the yielded values from the FEM and actual test, making it a reliable and safe approach in calculating the buckling capacities of singly symmetric stepped beams with non-compact flange sections.

Elastic Lateral Buckling Strength of Singly Stepped Beams with Load Height Effect (하중고 효과를 고려한 일단 변단면보의 탄성좌굴강도식 개발)

  • Park Jong-Sup
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.7 no.1
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    • pp.63-69
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    • 2006
  • New design equations for calculating the lateral-torsional buckling moment resistances of singly stepped I-section beams subjected to general loading on the top flange are suggested based on the investigations of elastic finite-element analyses. The new equations presented in this study are compared with current moment gradient modifiers presented by other researchers and specifications. The study considered almost loading cases on buildings and bridges. The proposed equations should be easily used to calculate the lateral-torsional buckling moment resistance of stepped I-beams.

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Inelastic Buckling Behavior of Simply Supported I-Beam under Transverse Loading (횡방향 하중을 받는 I형강 단순보의 비탄성 좌굴거동)

  • Lee, Dong Sik;Oh, Soon Taek
    • Journal of Korean Society of Steel Construction
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    • v.16 no.1 s.68
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    • pp.155-167
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    • 2004
  • In this paper, the inelastic buckling behavior of the beam under uniform bending was investigated using the energy-based method, which can tackle problems in fourth order eigenvalue. The pattern of residual stress was not available to satisfy the I-sections manufactured in Korea. however; therefore, the well-known polynomial and simplified pattern of residual stress was adopted in this study. The inelastic lateral-distortional buckling behavior of the beam with I-sections manufactured in Korea was investigated. The study was then extended to the inelastic lateral-torsional buckling of the beam by minimizing the out-of-plane web distortion. The inelastic lateral-torsional buckling results obtained in this paper were compared with the prediction of allowable bending stress given in the Korean steel designers' manual (1995). Results showed that the importance of inelastic lateral-distortional buckling did not arise for beams under uniform bending. Likewise, the design method in KSDM (1995) was proven to bo too conservative for intermediate and short spans of beams without intermediate bracing.

A Study on Moment Gradient Factor for Inelastic Lateral-Torsional Buckling of Stepped I-Beam Subjected to Uniformly Distributed Load and End Moment (연속경간 하중을 받는 I형 스텝보의 비탄성 횡-비틀림 좌굴강도산정을 위한 모멘트 구배계수 연구)

  • Son, Ji-Min;Park, Jong-Sup
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.4
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    • pp.1-9
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    • 2009
  • This paper investigates inelastic lateral-torsional buckling of stepped beams subjected to uniformly distributed load and end moments. A three-dimensional finite-element program ABAQUS (2007) and a regression program MINITAB(2006) were used to analytically develop new design equation for singly and doubly stepped beams with simple boundary condition. The flanges of the smaller cross-section in the stepped beams were fixed at 30.48 by 2.54 cm, whereas the width and thickness of the flanges of the larger cross-section varied. The web thickness and height of the beams were kept at 1.65 cm and 88.9 cm, respectively. The ratios of the flange thickness, flange width, and stepped length of beam are considered with analytical parameters. Two groups of 27 cases and 36 cases, respectively, were analyzed for doubly and singly stepped beams in the inelastic buckling range. The combined effects of residual stresses and geometrical imperfection on inelastic lateral-torsional buckling of beams are considered. The distributions of residual stress of the cross-section is same as shown in Pi and Trahair (1995) and the initial geometric imperfection of the beam is set by central displacement equal to 0.1% of the unbraced length of beam. The comparisons between results from proposed equations and the results from finite element analyses were presented in this paper. The maximum differences of two results are of 13% for the doubly stepped beam and 10% for the singly stepped beam. The proposed equations definitely improve current design methods for the inelastic lateral-torsional buckling problem and increase efficiency in building and bridge design.

Buckling of Composite Cylindrical Shells Sugjected ot Torsion of Lateral Pressure (비틀림 및 횡압럭을 받고 있는 복합재 원통쉘의 좌굴)

  • Han, Byeong-Gi;Lee, Seong-Hui;Yu, Taek-In
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.5
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    • pp.1436-1444
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    • 1996
  • The problem ofinstability of laminated circular cylindrical shell under the action of torsio or lateral pressure is investigated. The analysis is based on the Sander's theory for finite deformations of thin shell. The buckling is elastic for thin compoisite shell nad the geometry is assumed to be free of initial imperfections. The equilibrium equations are obrained by usitn the p[erturbation technique. Solution procedure is based on the Galerkin mehtod. The computer program for numerical results is made for several stacking sequence, length-to-radius ratio, and radius-to-thickness ratio. The numerical results of buckling load are present.

Lateral- Torsional Buckling Strength of Monosymmetric Doubly Stepped I-Beam subjected to Pure Bending (순수 휨하중을 받는 일축대칭 양단스텝보의 횡-비틀림 좌굴 강도)

  • Park, Jong-Sup;Oh, Jeong-Jae
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.5
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    • pp.1020-1025
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    • 2009
  • This study investigates elastic lateral-torsional buckling(LTB) of monosymmetric doubly stepped I-beams subjected to pure bending based on finite element analysis(FEA). The results from the FEA are used for new design stepped equation, Cst. The equations are compared with the results from the FEA. The comparison indicates that the new equation provides a good relation with the FEA results. The maximum difference between two results is of 11%. The new equation could be easily used to calculate the elastic lateral-torsional buckling moment resistance of monosymmetric stepped I-beams and to expand the new equation for developing LTB equations of monosymmetric stepped beams subjected to general loading conditions such as a concentrated load, distributed load, or a seres of concentrated load.