The effect of auxiliary bracing to the out-of-plane buckling of the crane jib

An analytical method for the out-of-plane buckling of the crane jib with auxiliary bracing was proposed. The analytical expression of the out-of-plane buckling characteristic equation was obtained by establishing the bending deflection differential equation of jib. The boundary conditions and deformation compatibility equations were introduced to obtain undetermined con-stants. The calculated results agreed well with that from ANSYS. The degeneration forms of the characteristic equation were explored to the single rod's frame and the double rods' frame. The buckling loads of the jib with auxiliary bracing, the jibs with single rod and with double rods were compared. The result showed that the buckling load of the jib with auxiliary bracing was between the single rod's frame and the double rods' frame, and the necessity of the auxiliary bracing was discussed.