Linear and nonlinear analysis of beams and plates by using equivalent systems

This dissertation presents a tool to analyze variable thickness structural problems where the material of the structure is permitted to be stressed well beyond its elastic limit. The basic objective is to involve the development of a method that can be used for both elastic and inelastic analysis. The mathematical formulation of these problems, as well as the analysis, is based on the Fertis method of the equivalent systems. The objectives are as following: (1) elastic and inelastic analysis of prismatic and nonprismatic members undergoing small deformations (a) without axial restraints (b) with axial restraints, (2) elastic and inelastic analysis of prismatic and nonprismatic bars with large deformations (a) without axial restraints (b) with axial restraints, (3) elastic and inelastic analysis of plates with variable thickness, (4) nonlinear analysis of nonprismatic members under cyclic loading, (5) static and dynamic instabilities of members with elastic end supports (a) without axial restraints (b) with axial restraints (c) subjected to both axial restraints and initial lateral deflection imperfections.;The Fertis method of the equivalent systems permits us to observe progressive deterioration of the ability of the member to resist load, stress, and deformation. In this manner, practical critical limits regarding these items can be established.