• Title/Summary/Keyword: column critical stress equation

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A Comparison of Design Strength Equations between Steel and Fiber Reinforced Polymer Composites Columns (철골 및 섬유보강 폴리머(FRP) 복합 기둥의 설계강도식에 관한 비교 연구)

  • Choi, Yeol;Pyeon, Hae-Wan
    • Journal of Korean Association for Spatial Structures
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    • v.3 no.3 s.9
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    • pp.85-93
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    • 2003
  • Steel, concrete and their combination materials are the most 6commonly used materials for civil engineering structural systems such as buildings, bridge structures and other structures. Recently, however, fiber reinforced polymer (FRP) composites, a relatively new composite material made of fibers and polymer resins, have been gradually used in structural systems as an alternative structural material. This paper describes a comparison of design strength equations for steel column and FRP composite column based on design philosophies. The safety factors used in allowable stress design (ASD) are relatively higher in FRP structural design than steel structural design. Column critical stress equations of FRP composites column from an experimental study can be represented by Euler elastic buckling equation at the long-range of slenderness, and an exponential form at the short-range of slenderness as defined in Load and Resistance Factor Design (LRFD) of steel column. The column strength of steel and FRP composite columns in large slenderness is independent of material strength, this result verified the elastic buckling equation as derived by Eq. (15) and Eq. (5).

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Finite Difference Analysis of Safe Load and Critical Time in a Four-Parameter Viscoelastic Column

  • Shin, Jong-Gye;Lee, Jae-Yeul
    • Journal of Hydrospace Technology
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    • v.2 no.2
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    • pp.80-87
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    • 1996
  • A creep-buckling analysis is studied for a simply-supported viscoelastic column. The fluid-type four-parameter model is employed because of its general applicability to creep materials. Using the imperfection-based incremental approach, a nonlinear load deflection equation is derived. Safe load and critical (or life) time which characterize the stability of the viscoelastic column are obtained mathematically and interpreted physically. A finite difference algorithm is applied to solve the second-order differential equation of the viscoelastic stress-strain relation. Numerical calculation has been made and discussed far a SUS316 stainless steel column.

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Stability Evaluation & Determination of Critical Buckling Load for Non-Linear Elastic Composite Column (비선형 탄성 복합재료 기둥의 임계 좌굴하중 계산 및 안정성 평가)

  • 주기호;정재호;강태진
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2003.04a
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    • pp.215-219
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    • 2003
  • Buckling and post-buckling Analysis of Ludwick type and modified Ludwick type elastic materials was carried out. Because the constitutive equation, or stress-strain relationship is different from that of linear elastic one, a new governing equation was derived and solved by $4^{th}$ order Runge-Kutta method. Considered as a special case of combined loading, the buckling under both point and distributed load was selected and researched. The final solution takes distinguished behavior whether the constitutive relation is chosen to be modified or non-modified Ludwick type as well as linear or non-linear. We also derived strain energy function for non-linear elastic constitutive relationship. By doing so, we calculated the criterion function which estimates the stability of the equilibrium solutions and determines critical buckling load for non-linear cases. We applied this theory to the constitutive relationship of fabric, which also is the non-linear equation between the applied moment and curvature. This results has both technical and mathematical significance.

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Flexural Strength Design Equation of Concrete Filled Steel Tube(CFT) Column Reinforced by Carbon Fiber Sheet (탄소섬유쉬트로 보강한 콘크리트 충전강관(CFT) 기둥의 휨내력식)

  • Park, Jai-Woo;Hong, Young-Kyun;Hong, Gi-Soup
    • Journal of the Earthquake Engineering Society of Korea
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    • v.12 no.3
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    • pp.29-36
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    • 2008
  • The TR-CFT(Transversely Reinforced Concrete Filled Steel Tube) column is proposed to control or at least delay the state of local buckling at the critical section by wrapping the CFT columns with a carbon fiber sheet. In this study, an equation to determine the flexural strength of TR-CFT is proposed. The ACI-318 code, in which the contribution of the confining effect in the concrete filled steel tube is not appropriately accounted for, may be conservative. Therefore, flexural strength design equations for CFT columns and TR-CFT columns are proposed based on the concrete strain-stress curve, which contributes to the confining effect. Finally, the predicted results for the CFT and TR-CFT columns are shown to be in good agreement with actual test results.