Second‐Order Inelastic Analysis Methods for Steel‐Frame Design

King, W. S.; White, Donald W.; Chen, W. F.

doi:10.1061/(asce)0733-9445(1992)118:2(408)

Cited by 73 publications

(28 citation statements)

References 7 publications

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“…King et al [2] presented a plastic hinge method which accounts for the degradation of the member stiffness. The plastic hinge stiffness is formulated in this method by inserting a hinge in the incremental element stiffness equation if a linear initial yield and fixed full yield condition [3] with residual stresses are satisfied.…”

Section: Introductionmentioning

confidence: 99%

“…Elasto-plastic hinge methods have been developed and reported by many researchers (e.g. in [2,7,13]), but contrary to these, the present paper develops a refined plastic hinge approach to allow for the gradual development of yielding as distributed plasticity across the section to a fully plastic hinge, which admits strain hardening and accounts for the interaction of axial and bending actions. This is an advance on elasto-plastic hinge methods because it allows for a more general description of the materially non-linear behaviour of the steel in terms of force resultants (rather than of stresses in a much less-efficient plastic zone approach).…”

Section: Introductionmentioning

confidence: 99%

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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%

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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“…The early 90s saw the development of a refined plastic hinge-based element, involving the use of stiffness reduction factors to modify the value of an elastic stiffness matrix, here I-shaped element sections were considered [1,21,22]. By applying the tangent modulus concept, developed previously by White (1993) [23], gradual plasticisation behaviour was modelled leading to improved results [4,5,24].…”

Section: Concentrated Inelastic Method: Historical Developmentmentioning

confidence: 99%

“…(22), this also involves an integration procedure but here the integration is much simpler, more accurate and faster to perform compared to the integration procedure involved in Eq. (22); this leads to…”

Section: Reference Configurationmentioning

confidence: 99%