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The effective length factor is a familiar concept for practicing engineers and has long beenan approach for column stability evaluations. Neglecting the effects of axial force in the restraingAlignment Charts, the conventional nomographs for K-Factor determination, are based on. A survey onthe problem reveals that the K-Factor of the columns may be significantly affected when the diferencesin axial forces are taken into account. In this paper a new iterative approach, with high convergence rate,critical member are presented and discussed in details. Such facilities are not available in the previouslypresented methods. A constructive methodology is outlined and the usefulness of the proposed algorithmis illustrated by numerical examples.