Buckling and Postbuckling of a Symmetrically Loaded Three-Hinged Portal Frame

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Abstract
A nonlinear stability analysis based on a variational approach is performed on a symmetric three-hinged rectangular frame symmetrically loaded. The loading consists of two vertical concentrated forces which may be applied eccentrically with respect to the center lines of the columns. By using a perturbation technique the critical loads of the perfect frame corresponding to its first two buckling modes associated with bifurcational instability are established. It is also found that the sway-buckling mode either of the perfect or the imperfect frame is associated with a stable bifurcation point. The effects of loading eccentricity and slenderness ratio upon the critical load are assessed.

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