Abstract
A spring - link model is presented to cope with the own - weight buckling of a long column under various boundary conditions such as clamp-clamp, simply supported-clamp and so forth. In doing so, an equality constraint condition should be incorporated in order to satisfy the condition that the both ends are located on a same vertical line. This paper deals with the formulation of the eigenvalue problem under the equality constraint condition. The numerical examples are concerned with the critical length of aluminum columns under several boundary conditions, which agree well with the result of the closed-form solution.
