Matrix Methods For Advanced Structural Analysis
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Matrix Methods for Advanced Structural Analysis
Author: Manolis Papadrakakis
language: en
Publisher: Butterworth-Heinemann
Release Date: 2017-11-13
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
Advanced Structural Analysis
Author: Juan Camilo Molina Villegas
language: en
Publisher: Woodhead Publishing
Release Date: 2025-09-01
Advanced Structural Analysis: From Theory to Computer Implementation (OpenSees Examples with Python Code Solutions) starts by laying out the differential equations governing various structural elements and shows how to solve simple structures directly using concepts from differential equations and boundary value problems. Introducing the Green's Functions Stiffness Method (GFSM), a novel technique related to the traditional Stiffness Method (SM) and FEM, the GFSM corrects FEM and merges SM's strengths with those of Green's Functions. The book features numerous examples and exercises with Python code solutions, some of which also demonstrate the use of OpenSees, a popular FEM program.By offering theoretical foundations and practical numerical implementations, it provides a comprehensive understanding of structural analysis concepts. - Covers the displacement-based methodology for analyzing structures is utilized (in contrast to the traditional internal forces methodology) - Allows readers to gain an in-depth understanding of the behavior of structures under different loading conditions, leading to a more comprehensive analysis - Contains examples and problems, along with the appropriate Python source code
Modern Structural Analysis
Author: Anthony E. Armenàkas
language: en
Publisher: McGraw-Hill Companies
Release Date: 1991
This companion to the previously published book [BO]Classical Structural Analysis[BX], also by the same author, focuses on advanced structural analysis using matrix methods for the element method of design calculations. With this method, the structural properties of each structural member (or element) taken together, of an entire structure, are used to calculate load behaviour and construction needs of a whole building or other structure. The matrix method is particularly suited to computer methods that must employ thousands of reiterate calculations. The book contains dozens of worked-out problems and design exercises, as well as an actual computer program at the end of the book for matrix method calculations.