Plastic-zone analysis of 3D steel frames using beam elements

This paper presents a corotational formulation of a spatial beam element fo r the purpose of 3D plastic-zone analysis of steel frames composed of compa ct tubular sections and open sections with no significant torsional warping . The special features of this paper, which have not been discussed in deta il by other researchers, include the proposition of a torsional strain-disp lacement relationship for rectangular hollow sections, and the elucidation of the proper force recovery procedure for a displacement-based plastic-zon e beam element. Issues concerning the miter model and the use of a consiste nt tangent operator in geometrically and materially nonlinear analysis are briefly discussed. Verification against three experimental tests on planar and spatial steel frames is included in the paper. It is demonstrated that in general only three cubic elements are required to model a story column w ith excellent accuracy, and four or five elements are sufficient for a base column with a rigid support. Such meshes are far coarser and thus consider ably more efficient than those used by previous researchers for plastic-zon e analysis.