Bearing capacity characteristics of a multi-footing system subjected to repeate and combined loads are investigated in this study. As an analogy of a statical shakedown analysis based on Melan's theorem, rigid-plastic shakedown analysis is newly proposed. Theoretical consideration of the proposed method is done, especially in comparison with elasto-plastic statical shakedow nanalysis. As an example, bearing capacity characteristics of a three-footing system is estimated by the proposed method. Reduction of bearing capacity for repeated loads can be estimated numerically. Instead of theoretical ambiguities, it may be useful for concise design procedure.