Beam element verification for 3D elastic steel frame analysis

Abstract

The paper describes the attributes that should be possessed by a benchmark example for verifying the beam elements used to carry out 3D linear buckling analysis and 3D second-order elastic analysis of steel frames. Based on the attributes described, the paper proposes a suite of benchmark examples selected from the literature. The necessary features of a beam element required to pass the proposed benchmark problems are given, and beam elements that possess these features are cited. The paper also explains the merits of linear buckling analysis examples, and provides a commentary on two well-known examples.

Three-Dimensional Benchmark Problems for Design by Advanced Analysis: Impact of Twist

“…Numerous two-dimensional benchmark problems can be found in the literature. While some three-dimensional benchmark 1 problems exist (Teh 2004), few are available for torsionally flexible I-shaped sections. The purpose of this paper is to build upon prior work Batista Abreu 2016, 2018) to provide results of four benchmark problems in which significant twists develop primarily as a result of second-order effects.…”

European design approaches for isolated cold-formed thin-walled beam–columns with mono-symmetric cross-section

“…The basic concepts of the theory of elastic stability of isolated members [11,30,39,45] are here shortly presented.…”

“…Evaluation of the beam buckling moment [39,45] The critical bending moment M B cr of a mono-symmetric crosssection beam is given by:…”

“…A very limited attention has been paid to the development of benchmarks for open-mono-symmetric cross-section members: references [38,39] should be considered despite the fact that they deal with cross-sections significantly different from the ones currently used in rack practice. Furthermore, verification criteria in accordance with EN 15512 ignore for routine design the key features associated with the presence of only one axis of symmetry and the coupling between flexure and torsion is considered for the sole evaluation of the critical elastic buckling load of isolated compressed columns in spite of clear indications provided in Eurocode, as discussed in [36].…”