Matrix Methods for Advanced Structural Analysis

By: Manolis Papadrakakis, Evangelos Sapountzakis

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eText | 13 November 2017 | Edition Number 1

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Divided into 12 chapters, Matrix Methods for Advanced Structural Analysis begins with an
introduction to the analysis of structures (fundamental concepts and basic steps of structural
analysis, primary structural members and their modeling, brief historical overview of methods
of static analysis, programming principles, and suggestions for the rational use of computer
programs). This is followed by the principal steps of the Direct Stiffness Method including plane
trusses, plane framed structures, space trusses, and space framed structures. The case of
plane or space framed structure, including possible rigid elements at their beam ends (rigid
joints) is discussed in detail.

Other topics discussed in this reference include the procedure for analyzing beams with internal
releases (partial connection of beam elements) and elastic hinges, as well as the alternative
handling of internal releases by modifying the element stiffness matrix. Furthermore, the
Method of Substructures is demonstrated for the solution of large-scale models in terms of the
associated number of degrees of freedom.

The principal steps of the Direct Stiffness Method are presented for plane and space
trusses, as well as plane and space framed structures
The handling of beams with internal releases and elastic hinges
The method of substructures for large-scale structures
A computer code (basic steps and source files) based on MATLAB® software for the
analysis of beam-like structures