Abstract
In this paper, it is showed that the new discrete method proposed in previous paper, based on modified complementary energy principle, can be applied to arbitrary one-dimensional members, and this method provides with models having no discretizing errors for any state of stiffness distribution and load. Also, for its practical examples, three new one-dimensional models are developed, that are a circular arch model, a plane beam-column model with shear deformation and a space beam-column model, and the validity of these models for the problem of material non-linearity be duly proved by a series of numerical analysis.