Considering the configure prosperity of precast segmental bridge columns, the special problem of precast segmental bridge columns, such as, the joints, the bonded prestressing tendons, the unbonded prestressing tendons, the energy-dissipating device, were analyzed in detail firstly. Based on that, the fitted analytical methods were presented. And then, the specimens were analyzed under cyclic loading and nonlinear dynamic time history loading with the methods. Compared the results with the experimental results, the fiber beam-column analytical method was reasonable and was effective analytical method for precast segmental bridge columns.