23 May 1997 Lateral torsional buckling of tapered members with transverse loads
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Abstract
In recent years tapered beams become increasingly popular in continuous frame construction due to their efficient utilization of structural material. Although analysis and design methods have been presented by many authors and three experimental programs have been carried out in recent years, further studies and design recommendations are needed. One of the ways to optimize structural components subjected to lateral loads is to generate variable cross sections.Ideally, if all sections must process the minimum amount of required properties then individual sections will be unique for particular loading conditions thus, consequently extremely expensive to construct. In this study, the mathematical formulation and the computer implementation of the elastic stability analysis of doubly symmetric tapered beams are presented. Solutions in the form of tables, charts and approximate formulas for the lateral buckling load are presented for a variety of beam geometry, end restraints and loading conditions. THe critical loads corresponding to various buckling modes are plotted versus non-dimensionalized parameters in an effort to establish the parameter ranges at which local buckling or lateral- torsional buckling controls. Since it is practically impossible to non-dimensionalize the many parameters in tapered sections, solutions were obtained for a range of tapered members used in present-day practice. The loading consists of uniform contribution bending loads. The end restraints are applied at the end of the columns with fixed pinned, roller and pinned connections.
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Andreas S. Vlahinos, Andreas S. Vlahinos, Yang Cheng Wang, Yang Cheng Wang, Giorgios Demos, Giorgios Demos, } "Lateral torsional buckling of tapered members with transverse loads", Proc. SPIE 3043, Smart Structures and Materials 1997: Smart Systems for Bridges, Structures, and Highways, (23 May 1997); doi: 10.1117/12.274635; https://doi.org/10.1117/12.274635
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