A generalized design-based elastoplastic analysis of steel frames by section assemblage concept

Chan, Siu Lai; Chui, P.P.T.

doi:10.1016/s0141-0296(96)00138-1

Cited by 39 publications

(17 citation statements)

References 6 publications

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“…Further, Chan and Chui [8] proposed a method for considering the gradual yielding across a cross-section subjected to bending action, for which the axial force was included by reducing the bending moment capacity. More recently, Iu and Chan [9] developed a refined plastic hinge method which included strain-hardening for steel structures subjected to elevated temperatures, while Iu et al [10] modified a plastic hinge approach in which the interaction of bending and axial actions on the yield surface at elevated temperature was formulated.…”

Section: Introductionmentioning

confidence: 99%

Higher-Order Non-Linear Analysis of Steel Structures Part Ii : Refined Plastic Hinge Formulation

Iu¹,

Bradford²

2012

Volume 8 Number 2

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ABSTRACT:In the companion paper, a fourth-order element formulation in an updated Lagrangian formulation was presented to handle geometric non-linearities. The formulation of the present paper extends this to include material non-linearity by proposing a refined plastic hinge approach to analyse large steel framed structures with many members, for which contemporary algorithms based on the plastic zone approach can be problematic computationally. This concept is an advancement of conventional plastic hinge approaches, as the refined plastic hinge technique allows for gradual yielding, being recognized as distributed plasticity across the element section, a condition of full plasticity, as well as including strain hardening. It is founded on interaction yield surfaces specified analytically in terms of force resultants, and achieves accurate and rapid convergence for large frames for which geometric and material non-linearity are significant. The solutions are shown to be efficacious in terms of a balance of accuracy and computational expediency. In addition to the numerical efficiency, the present versatile approach is able to capture different kinds of material and geometric non-linearities on general applications of steel structures, and thereby it offers an efficacious and accurate means of assessing non-linear behaviour of the structures for engineering practice.

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Section: Introductionmentioning

confidence: 99%

Higher-Order Non-Linear Analysis of Steel Structures Part Ii : Refined Plastic Hinge Formulation

Iu¹,

Bradford²

2012

Volume 8 Number 2

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“…Linija loma za jednostavan plastični zglob može se aproksimirati metodom objašnjenom u [6], slika 3(a).…”

Section: Plastična Linija Loma Za Jednostavan Plastični Zglobunclassified

“…Failure line for simple plastic hinge can be approximated by the method explained in [6], Fig. 3(a).…”

Section: Plastic Failure Line For Simple Plastic Hingementioning

confidence: 99%

Limit load capacity of compressed beam with imperfections

Milašinović¹,

Živković²

2018

Građ materijali i konstrukcije

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UVODKonstrukcije napravljene spajanjem ravnih ploča na njihovim podužnim krajevima veoma su česte. Važan podskup tih konstrukcija koje su glavni predmet ovog rada u suštini jesu prizmatične forme, ali one mogu imati i poprečna ukrućenja koja se koriste u sandučastim nosačima, ukrućenim pločama i pločastim nosačima. Opterećenje je uglavnom takvo da su najveći naponi u pravcu dužine, na primer, aksijalno opterećenje ili uzdužno savijanje.Analiza ponašanja pločastih konstrukcija odvijala se na nekoliko različitih načina. Jedan od načina bio je sprovođenje sveobuhvatnog istraživanja jednog tipa pločastih konstrukcija, kao što je sandučasti stub, tako da se testira cela familija modela u laboratoriji [1]. Drugi načini bili su numerički, primenom metoda konačnih elemenata (MKE) koji mogu uključiti komplikovane geometrije konstrukcija [2]. Cilj ovog rada jeste da istraži lom grede s početnim imperfekcijama, pojednostavljenim modelima koji se koriste u mehanici, radi poređenja dobijenih rezultata.Iako je korištenje MKE trenutno dominantno u analizi pločastih konstrukcija, nije tako jednostavno postaviti problem. Za tačnost je poželjno da se koriste manji elementi u zonama gde se čelik izvija lokalno i postaje plastičan, ali nije uvek poznato unapred gde te zone treba de se pojave. Takođe, u analizi ponašanja pločastih konstrukcija može se primeniti i metod konač-nih traka (MKT). MKT se zasniva na svojstvenim funkcijama koje su izvedene iz rešenja diferencijalne jednačine Profesor dr Dragan D. Milašinović, dipl. inž. građ.,

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“…When a section is at an elevated temperature, the residual stress would be gradually relieved. The residual stress is a function of temperature [44] and its pattern may change due to thermal effects [45]. In this section, the ratio of the tangent modulus, which accounts for the effects of residual stresses, to the effective modulus of elasticity at elevated temperatures is assumed to follow equations (4.24a) and (4.24b).…”

Section: Basic Assumptionsmentioning

confidence: 99%

The Era of Finite Element

2011

Understanding Structural Engineering

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ACKNOWLEDGEMENTSI would like to express my deepest appreciation to my advisor and committee chairperson, Professor Wai-Fah Chen, for his guidance and motivation during my learning career at Purdue University and University of Hawaii at Manoa. Whether through our numerous meetings and e-mails I have learned a lot from Professor Chen.His patience and encouragement gave me the confidence and willingness to overcome the many difficulties encountered while doing this research. He has shown concerns for my academic career at graduate level and also for my future. I believe his valuable advice will benefit me throughout my future endeavors. Finally, I would like to present special thanks to my parents, for their consideration and support that made this work possible. III ABSTRACTThe trends for analysis and design of steel frames are indicated in this dissertation.The current practice consists of applying the first-order elastic analysis with amplification factors or second-order elastic analysis in combination with the AISC-LRFD interaction equations. Determination of the effective length factors and individual member capacity checks are necessary to select adequate structural member sizes. The direct analysis method is a second-order elastic analysis approach that eliminates the determination of effective length factors from the current AlSC-LRFD method. Unsupported member length is used to calculate the axial strength of a member. Equivalent notional loads and/or modified stiffness are applied together with the external loads to account for the effects of initial out-of-plumbness and inelastic softening. For both AlSC-LRFD and direct analysis methods, a structure is analyzed as a whole, but the axial and flexural strength of each member is examined individually. Inelastic redistribution of internal forces in the structural system cannot be considered. As a result, determined member forces are not correct and more conservative member sizes will be obtained. Moreover, member-based approaches cannot predict structural behaviors such as failure mode and overstength factor.The advanced analysis method considered in this work is a second-order refmed plastic hinge analysis in which both effective length factors and individual member capacity checks are not required. In addition, advanced analysis is a structure systembased analysis/design method that can overcome the difficulties of using member-based IV design approaches. Thus, advanced analysis is a state-of-the-art method for steel structure design.Several numerical examples are provided to show the design details of all three methods. The design requirements corresponding to each analysis approach are illustrated in these examples. The pros and cons of each method are discussed by comparing the design results.Advanced analysis is also a computer-based analysis and design procedure consistent with the features of performance-based design. Applying advanced analysis to performance-based fire resistance and seismic design are proposed. This dissertation shows advanced ana...

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A generalized design-based elastoplastic analysis of steel frames by section assemblage concept

Cited by 39 publications

References 6 publications

Higher-Order Non-Linear Analysis of Steel Structures Part Ii : Refined Plastic Hinge Formulation

Higher-Order Non-Linear Analysis of Steel Structures Part Ii : Refined Plastic Hinge Formulation

Limit load capacity of compressed beam with imperfections

The Era of Finite Element

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