A generalized computational model of linear stability analysis for establishing the combined effect of joint flexibility and an elastic bracing system on the buckling load of steel plane frames with multiple spans is presented in this paper,and the technique presented here is very simple and can be employed by the average engineer for determination of the buckling load of framed columns with the aid of the software developed by the author. Both of flexibility of beam-to-column joints and column-to-bases joints are taken into consideration herein, and the generalized buckling equation of the plane frame with semi-rigid restraints and semi-rigid joints are put forward. Numerical results for simple elastically braced or unbraced frames with semirigid connections and different semi-rigid restraints, in tabular and graphical form, show that effect of joint flexibility and elastic bracing on buckling load of the structures is pronounced, which is valuable for considering the effect in design of the frames against buckling. The results show that the buckling load of a single column is effected with distribution of the loads applied to other columns of the structures, which show that the effect of structure as a whole should be considered in determination of buckling load of a column.
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