In weak-beam type structures, the elastic columns act to supress an excessive development of deformation in a certain story after plastic hinges are formed in beams. Such elastic columns extending vertically may be generalized as a damage-dispersing structural elements. In this paper, elastic columns with such a damage-dispersing function are termed spreader columns. The effectiveness of spreader columns is investigated through response analyses on a basic analytical model involving the spreader column and Ds-values for such structures are derived.