Matrix Methods for Advanced Structural Analysis

Divided into 12 chapters, Matrix Methods for Advanced Structural Analysis begins with anintroduction to the analysis of structures (fundamental concepts and basic steps of structuralanalysis, primary structural members and their modeling, brief historical overview of methodsof static analysis, programming principles, and suggestions for the rational use of computerprograms). This is followed by the principal steps of the Direct Stiffness Method including planetrusses, plane framed structures, space trusses, and space framed structures. The case ofplane or space framed structure, including possible rigid elements at their beam ends (rigidjoints) is discussed in detail. Other topics discussed in this reference include the procedure for analyzing beams with internalreleases (partial connection of beam elements) and elastic hinges, as well as the alternativehandling of internal releases by modifying the element stiffness matrix. Furthermore, theMethod of Substructures is demonstrated for the solution of large-scale models in terms of theassociated number of degrees of freedom.