In considering local buckling of H shaped member for the designed structures, analytical models have much more freedom degree number and are very costly. Therefore, in this paper, we will suggest a consistent and convenient analytical method for H shaped steel member involving local buckling behavior. In this method, multi-surfaces for yielding and buckling behavior are considered in the space of (M_i,M_j,N ). Each surface corresoonds to the yielding and buckling strength of each buckling flange in H-section member. And the effect of local buckling behavior evaluates as the softening behavior for only a couole of surfaces corresponding to the buckling flange Finally we will examine the validity and usefulness of our method through some numerical examples.
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