• Title/Summary/Keyword: The plastic hinge theory

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Inclined yield lines in flange outstands

  • Bambach, M.R.
    • Structural Engineering and Mechanics
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    • v.29 no.6
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    • pp.623-642
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    • 2008
  • While spatial plastic mechanism analysis has been widely and successfully applied to thinwalled steel structures to analyse the post-failure behaviour of sections and connections, there remains some contention in the literature as to the basic capacity of an inclined yield line. The simple inclined hinge commonly forms as part of the more complex spatial mechanism, which may involve a number of hinges perpendicular or inclined to the direction of thrust. In this paper some of the existing theories are compared with single inclined yield lines that form in flange outstands, by comparing the theories with plate tests of plates simply supported on three sides with the remaining (longitudinal) edge free. The existing mechanism theories do not account for different in-plane displacement gradients of the loaded edge, nor the slenderness of the plates, and produce conservative results. A modified theory is presented whereby uniform and non-uniform in-plane displacements of the loaded edge of the flange, and the slenderness of the flange, are accounted for. The modified theory is shown to compare well with the plate test data, and its application to flanges that are components of sections in compression and/or bending is presented.

Simplified Collapse Analysis of Ship Transverse Structures (선체 횡구조물의 단순화된 최종 강도 해석)

  • P.D.C.,Yang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.26 no.4
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    • pp.57-66
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    • 1989
  • In this paper, a theory for the static analysis of large plastic deformations of 3-dimensional frames, aiming at application to the collapse analysis of ship structures, is presented. In the frame analysis formulation, effects of shear deformations are included. A plastic hinge is inserted into the field of a beam end, and post. failure deformation of the plastic hinge is characterized by finite rotations and extensions. In order to model deep web frames of ship's structures into a framed structures, collapse of thin-walled plate girders is investigated. The proposed analysis method is applied to several ship structural models in the references.

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Elasto-plastic Post-buckling Analysis of Spatial Framed Structures using Improved Plastic Hinge Theory (개선된 소성힌지이론을 이용한 공간 뼈대구조물의 탄-소성 후좌굴 해석)

  • Kim, Sung Bo;Ji, Tae Sug;Jung, Kyoung Hwan
    • Journal of Korean Society of Steel Construction
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    • v.18 no.6
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    • pp.687-696
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    • 2006
  • An efficient numerical method is developed to estimate the elasto-plastic post-buckling strength of space-framed structures. The inelastic ultimate strength of beam-columns and frames is evaluated by the parametric study. Applying the improved plastic hinge analysis that evaluate the gradual stiffness decrease effects due to spread of plasticity, elasto-plastic post-buckling behavior of steel frames is investigated considering the various residual stress distributions. Introducing the plastification parameter that represent pread of plasticity in the element and performing parametric study of equivalent element force and member idealization, finite-element solutions for the elasto-plastic analysis of space frames are compared with the results by plastic region analysis, shell elements and experimental results.

The Discrete Optimum Design of Steel Frame Considering Material and Geometrical Nonlinearties (재료 및 기하학적 비선형을 고려한 브레이싱된 강뼈대구조물의 최적설계)

  • Chang, Chun Ho;Park, Moon Ho;Lee, Hae Kyoung;Park, Soon Eung
    • Journal of Korean Society of Steel Construction
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    • v.12 no.3 s.46
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    • pp.317-328
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    • 2000
  • The objective of the research is to develop an algorithm for the optimum design of two-dimensional braced steel frames using an advanced analysis, which considers both material and geometric nonlinearties. Since both nonlinearties are considered in analysis process, Optimum design algorithm which does not require to calculate K-factor is presented. A multi-level discrete optimization technique with two parameters that uses the information of structural system and separate member has been developed. The structural analysis is performed by the relined plastic-hinge method which is based on zero-length plastic hinge theory. Optimization problem are formulated by AISC-LRFD code. The feasibility, validity and efficiency of the developed algorithm is demonstrated by the results of the braced steel frame.

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The energy absorption behavior of square tube by F.E.M (유한요소법에 의한 사각형 튜브의 충돌에너지 흡수거동 II)

  • 강대민;윤명균;황종관
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2000.04a
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    • pp.181-188
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    • 2000
  • This paper describes the energy absorption of a square tube under axi compression by using the finite element method. The overall deformations and lo buckling modes of tube was discussed by "plastic hinge concep Force-displacement function was plotted to show various state that depended or time. Also, mean crush load was expressed as a type of section geometry a material property using dimensional analysis. To verify the energy absorption and the effects of dimensions, The standards Wt used as related density and specific energy, mean crushing load and the resL were discussed by the relation between crush load and deformation, the relati between related density and specific energy, the relation between crush load a mean crush load, the relation between mean crush load and specific energy.ergy.

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A Study on the Fatigue Line with Plastic Rotaional Angle for Steel Structure of the Beam-to-Column Joints (기둥-보 연결 강구조물의 소성회전각에 의한 피로곡선 연구)

  • Kong, Byung Seung
    • Journal of Korean Society of Steel Construction
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    • v.10 no.2 s.35
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    • pp.221-232
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    • 1998
  • This study presents a fatigue line with a plastic rotational angle to a great extent of plastic strain of Low-Cycle-Fatigue period, such as earthquake, etc. This fatigue line with a plastic rotational angle is measured and analysed more simply in practice rather than Woehler's fatigue line which is developed in stress variation of the structure. It shows that the slope of fatigue line with a plastic rotational angle is equal to that with plastic strain through the experiments by proving the correlation that the plastic strain ratio is directly proportional to the plastic rotational angle in plastic hinge. The theory is induced by Manson and Coffin strain fatigue line, and the experiments are tested by ECCS. The location of the plastic hinge is achieved and accurate plastic strain ratio is calculated through FEM.

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Plastic collapse of tapered, tip-loaded cantilevered beams

  • Wilson, James F.;El-Esnawy, Nayer A.
    • Structural Engineering and Mechanics
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    • v.9 no.6
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    • pp.569-588
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    • 2000
  • The plastic collapse loads and their locations are predicted for a class of tapered, initially curved, and transversely corrugated cantilevered beams subjected to static tip loading. Results of both closed form and finite element solutions for several rigid perfectly plastic and elastic perfectly plastic beam models are evaluated. The governing equations are cast in nondimensional form for efficient studies of collapse load as it varies with beam geometry and the angle of the tip load. Static experiments for laboratory-scale configurations whose taper flared toward the tip, complemented the theory in that collapse occurred at points about 40% of the beams length from the fixed end. Experiments for low speed impact loading of these configurations showed that collapse occurred further from the fixed end, between the 61% and 71% points. The results may be applied to the design of safer highway guardrail terminal systems that collapse by design under vehicle impact.

Elasto-Plastic Analysis of Plane Frame Structures using Timoshenko Beam Element (Timoshenko보 요소를 이용한 평면 뼈대구조의 탄-소성 해석)

  • 정동영;이정석;신영식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.327-334
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    • 2001
  • This paper presents a non-linear analysis procedure for plane frame structures by finite element formulation with assumptions of Timoshenko beam theory. Finite element displacement method based on Lagrangian formulation is used and two-noded and isoparametric line element is adopted to represent finite element model. The layered approach is used for the elasto-plastic analysis of the plane frame structures with rectangular and I cross sections. A load incremental method combined with the tangent stiffness and the initial stiffness methods for each load increment is used for the solution of non-linear equations. Numerical examples are presented to investigate the behavior and the accuracy of the elasto-plastic non-linear application and the results of this study are compared with other solutions using the concept of plastic hinge.

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Dynamic Analysis of Steel Jackets under Wave and Earthquake Loadings I : Linear and Non-linear F. E. Formulation (파랑 및 지진하중을 받는 스틸자켓의 동적해석 I : 선형 및 비선형 유한요소 정식화)

  • 김문영;백인열;고진석
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.5
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    • pp.1-11
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    • 2001
  • The purpose of this study is to develop the main program and pre/post processor for the geometric and plastic non-linear analysis of steel jacket structures subjected to wave and earthquake loadings. In this paper, steel jackets are modelled using geometric non-linear space frames and wave loadings re evaluated based on Morrison equation using the linear Airy theory and the fifth Stokes theory. Random wave is generated using JONSWAP spectrum. For earthquake analysis, dynamic analysis is performed using artificial earthquake time history. Also the plastic hinge method is presented for limit analysis of steel jacket. In the companion paper, the pre/post processor is developed and the numerical examples are presented for linear and non-linear dynamic analysis of steel jackets.

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Strength Estimation of Die Cast Beams Considering Equivalent Porous Defects (다이캐스팅 보의 등가 기공결함을 고려한 강도평가)

  • Park, Moon Shik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.5
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    • pp.337-343
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    • 2017
  • As a shop practice, a strength estimation method for die cast parts is suggested, in which various defects such as pores can be allowed. The equivalent porosity is evaluated by combining the stiffness data from a simple elastic test at the part level during the shop practice and the theoretical stiffness data, which are defect free. A porosity equation is derived from Eshelby's inclusion theory. Then, using the Mori-Tanaka method, the porosity value is used to draw a stress-strain curve for the porous material. In this paper, the Hollomon equation is used to capture the strain hardening effect. This stress-strain curve can be used to estimate the strength of a die cast part with porous defects. An elastoplastic theoretical solution is derived for the three-point bending of a die cast beam by using the plastic hinge method as a reference solution for a part with porous defects.