Abstract: In order to study the structural response of geometrically large displacement in a cantilever beam, based fully on utilizing the linear finite element method (FEM) principle and procedure, the "accumulated linearization" is proposed to construct the structural model and to search the solving strategy for this kind of problem. The process of the numerical calculation shows that the proposed method is easy to realize in the widely available FEM software. Meanwhile, the "one time linearization" and the "non-linearization solving" in the numerical calculation are compared with this method. For the above problem, the proposed method is not only rational and feasible, but also can check the results of "one time linearization" to some extent. And the numerical simulation results of the two approaches are distinctly different, in which the former's results approach those of the "non-linearization solving".