In this paper we deal with the strength of the doubling liners applied to the bracketless system of the longitudinals proposed by Isherwood, when the liners are bent by the action of longitudinals which resists the external pressure. In the Isherwood's paper, the doubling liners were considered only from the viewpoint of the continuity of the longitudinal strength of ship at the bracketless ends of longitudinals. As the results of our calculation, the bending stress at the doubling plates reaches greater value than the longitudinals, so that it is necessary to decide the scantling of the doublings more carefully considering the bending action together with the longitudinal strength.