This paper presents prediction methods of maximum strength around strong axis of local buckling H-Shaped beams connected by flush end plates. This paper studies the neutral axis position of the beam section around the connection and consider that the neutral axis position moves towards the compression region due to out-of-plane plastic deformation of the flush end plate. The influence of the movement of the neutral axis position for maximum local buckling strength is estimated by the energy method and accuracy of the estimation is checked by the experiment of the full-scale specimen and the nonlinear FEM analysis.