Matrix Methods for Advanced Structural Analysis

Matrix Methods for Advanced Structural Analysis
Author: Manolis Papadrakakis
Publisher: Butterworth-Heinemann
Total Pages: 468
Release: 2017-11-13
Genre: Technology & Engineering
ISBN: 0128118822

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 MATLABĀ® software for the analysis of beam-like structures

Advanced Methods of Structural Analysis

Advanced Methods of Structural Analysis
Author: Igor A. Karnovsky
Publisher: Springer Nature
Total Pages: 824
Release: 2021-03-16
Genre: Technology & Engineering
ISBN: 3030443949

This revised and significantly expanded edition contains a rigorous examination of key concepts, new chapters and discussions within existing chapters, and added reference materials in the appendix, while retaining its classroom-tested approach to helping readers navigate through the deep ideas, vast collection of the fundamental methods of structural analysis. The authors show how to undertake the numerous analytical methods used in structural analysis by focusing on the principal concepts, detailed procedures and results, as well as taking into account the advantages and disadvantages of each method and sphere of their effective application. The end result is a guide to mastering the many intricacies of the range of methods of structural analysis. The book differentiates itself by focusing on extended analysis of beams, plane and spatial trusses, frames, arches, cables and combined structures; extensive application of influence lines for analysis of structures; simple and effective procedures for computation of deflections; introduction to plastic analysis, stability, and free and forced vibration analysis, as well as some special topics. Ten years ago, Professor Igor A. Karnovsky and Olga Lebed crafted a must-read book. Now fully updated, expanded, and titled Advanced Methods of Structural Analysis (Strength, Stability, Vibration), the book is ideal for instructors, civil and structural engineers, as well as researches and graduate and post graduate students with an interest in perfecting structural analysis.

Matrix Structural Analysis

Matrix Structural Analysis
Author: William McGuire
Publisher: Wiley
Total Pages: 480
Release: 1999-07-30
Genre: Technology & Engineering
ISBN: 9780471129189

Entire book and illustrative examples have been edited extensively, and several chapters repositioned. * Imperial units are used instead of SI units in many of the examples and problems, particularly those of a nonlinear nature that have strong implications for design, since the SI system has not been fully assimilated in practice.

Advanced Structural Analysis

Advanced Structural Analysis
Author: Devdas Menon
Publisher: Alpha Science International, Limited
Total Pages: 0
Release: 2009
Genre: Structural analysis (Engineering)
ISBN: 9781842654972

Advanced Structural Analysis is a textbook that essentially covers matrix analysis of structures, presented in a fresh and insightful way. This book is an extension of the author s basic book on Structural Analysis. The initial three chapters review the basic concepts in structural analysis and matrix algebra, and show how the latter provides an excellent mathematical framework for the former. The next three chapters discuss in detail and demonstrate through many examples how matrix methods can be applied to linear static analysis of skeletal structures (plane and space trusses; beams and grids; plane and space frames) by the stiffness method. Also, it is shown how simple structures can be conveniently solved using a reduced stiffness formulation, involving far less computational effort. The flexibility method is also discussed. Finally, in the seventh chapter, analysis of elastic instability and second-order response is discussed in detail. The main objective is to enable the student to have a good grasp of all the fundamental issues in these advanced topics in Structural Analysis, besides enjoying the learning process, and developing analytical and intuitive skills. With these strong fundamentals, the student will be well prepared to explore and understand further topics like Finite Elements Analysis.

MATRIX METHODS OF STRUCTURAL ANALYSIS

MATRIX METHODS OF STRUCTURAL ANALYSIS
Author: C. NATARAJAN
Publisher: PHI Learning Pvt. Ltd.
Total Pages: 490
Release: 2014-01-20
Genre: Technology & Engineering
ISBN: 8120349008

Designed as a textbook for the undergraduate students of civil engineering and postgraduate students of structural engineering, this comprehensive book presents the fundamental aspects of matrix analysis of structures. The basic features of Matrix Structural Analysis along with its intricacies in application to actual problems backed up by numerical examples, form the main objective of writing this book. The text begins with the chapters on basics of matrices and structural systems. After providing the foundation for matrix structural representation, the text moves onto dimensional and behavioral aspects of structural systems to classify into pin-jointed systems, then onto beams and finally three-dimensional rigid jointed systems. The text concludes with a chapter on special techniques in using matrices for structural analysis. Besides, MATLAB codes are given at the end to illustrate interfacing with standard computing tool. A large number of numerical examples are given in each chapter which will reinforce the understanding of the subject matter.

Matrix and Finite Element Analyses of Structures

Matrix and Finite Element Analyses of Structures
Author: Madhujit Mukhopadhyay
Publisher: Springer Nature
Total Pages: 482
Release: 2022-11-25
Genre: Science
ISBN: 3031087240

This textbook has been primarily written for undergraduate and postgraduate engineering students studying the mechanics of solids and structural systems. The content focuses on matrix, finite elements, structural analysis, and computer implementation in a unified and integrated manner. Using classical methods of structural analysis, it discusses matrix and the finite element methods in an easy-to-understand manner. It consists of a large number of diagrams and illustrations for easy understanding of the concepts. All the computer codes are presented in "FORTRAN" AND "C". This textbook is highly useful for the undergraduate and postgraduate engineering students. It also acquaints the practicing engineers about the computer-based techniques used in structural analysis.

An Introduction to Matrix Structural Analysis and Finite Element Methods

An Introduction to Matrix Structural Analysis and Finite Element Methods
Author: Jean H. Prevost
Publisher: World Scientific Publishing Company
Total Pages: 0
Release: 2017
Genre: Finite element method
ISBN: 9789813206786

This comprehensive volume is unique in presenting the typically decoupled fields of Matrix Structural Analysis (MSA) and Finite Element Methods (FEM) in a cohesive framework. MSA is used not only to derive formulations for truss, beam, and frame elements, but also to develop the overarching framework of matrix analysis. FEM builds on this foundation with numerical approximation techniques for solving boundary value problems in steady-state heat and linear elasticity. Focused on coding, the text guides the reader from first principles to explicit algorithms. This intensive, code-centric approach actively prepares the student or practitioner to critically assess the performance of commercial analysis packages and explore advanced literature on the subject.

Matrix Methods of Structural Analysis

Matrix Methods of Structural Analysis
Author: Praveen Nagarajan
Publisher: CRC Press
Total Pages: 452
Release: 2018-09-03
Genre: Technology & Engineering
ISBN: 1351210300

This book deals with matrix methods of structural analysis for linearly elastic framed structures. It starts with background of matrix analysis of structures followed by procedure to develop force-displacement relation for a given structure using flexibility and stiffness coefficients. The remaining text deals with the analysis of framed structures using flexibility, stiffness and direct stiffness methods. Simple programs using MATLAB for the analysis of structures are included in the appendix. Key Features Explores matrix methods of structural analysis for linearly elastic framed structures Introduces key concepts in the development of stiffness and flexibility matrices Discusses concepts like action and redundant coordinates (in flexibility method) and active and restrained coordinates (in stiffness method) Helps reader understand the background behind the structural analysis programs Contains solved examples and MATLAB codes

Computer Methods in Structural Analysis

Computer Methods in Structural Analysis
Author: J.L. Meek
Publisher: CRC Press
Total Pages: 542
Release: 1991-08-08
Genre: Architecture
ISBN: 9780419154402

This book deals with finite element analysis of structures and will be of value to students of civil, structural and mechanical engineering at final year undergraduate and post-graduate level. Practising structural engineers and researchers will also find it useful. Authoritative and up-to-date, it provides a thorough grounding in matrix-tensor analysis and the underlying theory, and a logical development of its application to structures.

A Correlation Study of Methods of Matrix Structural Analysis

A Correlation Study of Methods of Matrix Structural Analysis
Author: Richard H. Gallagher
Publisher: Elsevier
Total Pages: 132
Release: 2014-12-02
Genre: Technology & Engineering
ISBN: 1483223671

A Correlation Study of Methods of Matrix Structural Analysis describes the results of a survey and review of airframe matrix structural analysis. The book also explains concepts of force and displacement, as well as the techniques for determining the force-displacement properties of discrete elements employed in analytical idealizations of structures. The text investigates the results of extensive analyses of multiweb low aspect ratio wings, using past evaluative studies and idealizations contained in reports of the AGARD Structures and Materials Panel. The techniques describe in the Panel and other techniques in matrix structural analysis lead to identical formulations of the governing equations. The differences between various references with respect to idealization are independent of the formulation of the governing equations. The solutions to governing equations are precise solutions for the postulated discrete element system. The book also describes a recommended computer program development using whichever is more appropriate between a force approach or displacement approach to matrix structural analysis. The text is valuable for researchers in structural analysis, aeronautics, applied mechanics, and investigators of aircraft engineering.