A mixed finite element for three-dimensional nonlinear analysis of steel frames

Nukala, Phani K. V. V.; White, Donald W.

doi:10.1016/j.cma.2004.01.029

Cited by 69 publications

(42 citation statements)

References 44 publications

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“…Thus, material nonlinearity is important for investigating the ultimate strength of a bar that resists torsional loading, while distributed plasticity models are acknowledged in the literature [114][115][116] to capture more rigorously material nonlinearities than cross sectional stress resultant approaches [117] or lumped plasticity idealizations [118,119]. If inelastic effects are considered, especially through distributed plasticity formulations, then the nonuniform [120,121] torsional problem requires a much more rigorous analysis.…”

Section: Inelastic Nonuniform Torsion Of Barsmentioning

confidence: 99%

Bars under Torsional Loading: A Generalized Beam Theory Approach

Sapountzakis

2013

ISRN Civil Engineering

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In this paper both the static and dynamic analyses of the geometrically linear or nonlinear, elastic or elastoplastic nonuniform torsion problems of bars of constant or variable arbitrary cross section are presented together with the corresponding research efforts and the conclusions drawn from examined cases with great practical interest. In the presented analyses, the bar is subjected to arbitrarily distributed or concentrated twisting and warping moments along its length, while its edges are supported by the most general torsional boundary conditions. For the dynamic problems, a distributed mass model system is employed taking into account the warping inertia. The analysis of the aforementioned problems is complete by presenting the evaluation of the torsion and warping constants of the bar, its displacement field, its stress resultants together with the torsional shear stresses and the warping normal and shear stresses at any internal point of the bar. Moreover, the construction of the stiffness matrix and the corresponding nodal load vector of a bar of arbitrary cross section taking into account warping effects are presented for the development of a beam element for static and dynamic analyses. Having in mind the disadvantages of the 3D FEM solutions, the importance of the presented beamlike analyses becomes more evident.

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Section: Inelastic Nonuniform Torsion Of Barsmentioning

confidence: 99%

Bars under Torsional Loading: A Generalized Beam Theory Approach

Sapountzakis

2013

ISRN Civil Engineering

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“…Flexibility based (Neuenhofer and Fillipou, 1997) or mixed formulation (Spacone et al, 1996;Nukala and White, 2004) fiber models have also been developed. These models better represent the nonlinear curvature fields in a yielded member as compared to displacement-based elements.…”

Section: A512 Fiber Modelsmentioning

confidence: 99%

Research plan for the study of seismic behavior and design of deep, slender wide flange structural steel beam-column members

Venture¹

2011

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The objective of this task was to develop a comprehensive long-range plan to research the seismic behavior of deep, slender wide flange structural steel beamcolumns in steel frames. Development of the plan included the investigation of available information on beam-column member and connection behavior in the literature, and considered the differences and interrelationships between member, subassemblage, and system performance. The resulting plan includes a summary of tasks for conducting both experimental and analytical research, and is intended to be the first step in the development of national consensus guidelines for designing and assessing the seismic performance of deep, slender wide-flange beam-columns in steel frame systems.The NEHRP Consultants Joint Venture is indebted to the leadership of Jim Malley, Project Director, and to the members of the Project Technical Committee, consisting of Charlie Carter, Jerry Hajjar, Dimitrios Lignos, Charles Roeder, and Mark Saunders for their contributions in developing this report and the resulting recommendations. The NEHRP Consultants Joint Venture also gratefully acknowledges Jack Hayes (NEHRP Director), Steve McCabe (NEHRP Deputy Director), Jay Harris (NIST Project Manager), Mike Mahoney (FEMA), and Helmut Krawinkler (FEMA Technical Monitor) for their input and guidance in the preparation of this report, Ayse Hortacsu for ATC project management, and Peter N. Mork for ATC report production services. Jon A. Heintz Program ManagerGCR 11-917-13 List of Tables Executive SummaryCurrent practice in modern steel frame design frequently concentrates seismic resistance into a few frames or a few bays within planar frames. In moment resisting frames, this practice results in column designs that are dominated by a combination of axial force and bending due to lateral deformation, rather than just axial force alone. Due to their increased in-plane flexural stiffness, deeper column sections are generally selected to satisfy drift criteria and to balance relative stiffness with deep beam sections. Columns that are generally stocky, in terms of both member stability and cross-sectional compactness requirements, are expected to perform well under seismic loading. Deeper, more slender columns, however, are more vulnerable to weak-axis and local buckling failure modes, and these sections must be checked against the potential for in-plane and out-of-plane instability under combined axial load and bending moment.The term deep refers to member depths that are nominally greater than 16 inches (i.e., W16 sections and larger). The term slender refers to members that are sensitive to instability or have cross-sectional elements with width-to-thickness ratios approaching the seismic compactness limits for highly ductile members. An area of critical need identified by the American Institute of Steel Construction (AISC) is the seismic performance of deep, slender, wide flange structural steel beam-column members when subjected to a range of axial loads. Research on the stability of th...

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“…For example, recent theories that have been developed within the relatively similar framework of the Hellinger-Reissner variational principle (Wackerfuss and Gruttmann [6]) opt to focus on the out-of-plane warping effects. The latter can be described by one extra parameter (Kumar et al [7]), which adds to the six dof at each node, or by internal degrees of freedom approximating the cross-sectional warping that are eliminated at the element level by static condensation (Wackerfuss and Gruttmann [8]). …”

Section: Introductionmentioning

confidence: 99%

Force-based higher-order beam element with flexural-shear-torsional interaction in 3D frames. Part II: Applications

Almeida

Correia

Pinho

2015

Engineering Structures

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a b s t r a c tThe specific features of the proposed force-based formulation derived in the companion paper, which is applied for the first time to higher-order beam theories, are herein thoroughly validated. Introductory numerical examples illustrate the influence of mesh refinement, boundary conditions, and slenderness ratios for isotropic linear elastic response. Specific higher-order effects-unique to the developed element-are then suitably interpreted, as well as the formulation appropriateness to consider distributed loads and to model three-dimensional behaviour, which is verified with solid finite element analyses. Extensive comparisons against existing proposals, namely other refined higher-order beam theories, emphasize the performance of the proposed approach. Finally, the nonlinear response of the element with a multiaxial J2 linear plasticity material model is analysed, highlighting its advantages in relation to a classical force-based Euler-Bernoulli beam using a one-dimensional plastic material model with kinematic hardening.

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A mixed finite element for three-dimensional nonlinear analysis of steel frames

Cited by 69 publications

References 44 publications

Bars under Torsional Loading: A Generalized Beam Theory Approach

Bars under Torsional Loading: A Generalized Beam Theory Approach

Research plan for the study of seismic behavior and design of deep, slender wide flange structural steel beam-column members

Force-based higher-order beam element with flexural-shear-torsional interaction in 3D frames. Part II: Applications

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