Abstract
A numerical computer method using spatial finite line elements for the determination of buckling loads of three-dimensional framed systems having complex boundary conditions is presented. A joint at end of an element experiences three rotational and three linear displacements. An element experiences axial, torsional and flexural deformations in two orthogonal planes. Buckling loads and corresponding mode vectors are determined by the solution of linear set of eigen value equations of elastic stability, where the elastic stability matrix is the product of three-dimensional sidesway flexibility matrix and the second-order sidesway stiffness matrix. Four numerical examples are included—a column, planar frame, four-legged system and three-legged triangular frame; having mixture of fixed, spherical, revolute, cylindrical and planar pairs at supports and joints.
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