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1 International Journal of Applied Mechanics and Engineering

1 2003

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A generalized FE formulation for buckling analysis of solid or built-up columns with nonprismatic section

Li G.-Q., Li J.-J.

International Journal of Applied Mechanics and Engineering

2003

Vol. 8, no 4

651-663

In this paper, a generalized FE formulation for buckling analysis of nonprismatic columns with various cross-sections is established by using the Chebyshev polynomial approach to the governing differential equation. The proposed formulation includes the effects of shear deformation and is therefore applicable to solid or built-up columns. The change of the sectional properties along the length direction, such as the area and inertia moment, need not be fitted with approximate expressions and can be defined exactly and freely with user-defined functions in programming. Buckling of the three structures, respectively for a tapered mast column with a circular hollow section, a web-tapered I-sectional column and a tapered lattice column, is studied numerically and compared with the results of previous studies. The effects of shear deformation on the buckling loads of those tapered columns are specified.