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Elementary Matrix Analysis of Structures

Elementary Matrix Analysis of Structures
Author: Hayrettin Kardestuncer
Publisher: McGraw-Hill Companies
Total Pages: 454
Release: 1974
Genre: Mathematics
ISBN:

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Integrated Matrix Analysis of Structures

Integrated Matrix Analysis of Structures
Author: Mario Paz
Publisher: Springer Science & Business Media
Total Pages: 326
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461516110

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7. 2 Element Stiffness Matrix of a Space Truss Local Coordinates 221 7. 3 Transformation of the Element Stiffness Matrix 223 7. 4 Element Axial Force 224 7. 5 Assemblage ofthe System Stiffness Matrix 225 7. 6 Problems 236 8 STATIC CONDENSATION AND SUBSTRUCTURING 8. 1 Introduction 239 8. 2 Static Condensation 239 8. 3 Substructuring 244 8. 4 Problems 259 9 INTRODUCTION TO FINITE ELEMENT MEmOD 9. 1 Introduction 261 9. 2 Plane Elasticity Problems 262 9. 3 Plate Bending 285 9. 4 Rectangular Finite Element for Plate Bending 285 9. 5 Problems 298 APPENDIX I Equivalent Nodal Forces 301 APPENDIXll Displacement Functions for Fixed-End Beams 305 GLOSSARY 309 SELECTED BmLIOGRAPHY 317 INDEX 319 ix Preface This is the first volume of a series of integrated textbooks for the analysis and design of structures. The series is projected to include a first volume in Matrix Structural Analysis to be followed by volumes in Structural Dynamics and Earthquake Engineering as well as other volumes dealing with specialized or advanced topics in the analysis and design of structures. An important objective in the preparation of these volumes is to integrate and unify the presentation using common notation, symbols and general format. Furthermore, all of these volumes will be using the same structural computer program, SAP2000, developed and maintained by Computers and Structures, Inc. , Berkeley, California.


Matrix Analysis Framed Structures

Matrix Analysis Framed Structures
Author: William Weaver
Publisher: Springer Science & Business Media
Total Pages: 557
Release: 2012-12-06
Genre: Science
ISBN: 1468474871

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Matrix analysis of structures is a vital subject to every structural analyst, whether working in aero-astro, civil, or mechanical engineering. It provides a comprehensive approach to the analysis of a wide variety of structural types, and therefore offers a major advantage over traditional metho~ which often differ for each type of structure. The matrix approach also provides an efficient means of describing various steps in the analysis and is easily programmed for digital computers. Use of matrices is natural when performing calculations with a digital computer, because matrices permit large groups of numbers to be manipulated in a simple and effective manner. This book, now in its third edition, was written for both college students and engineers in industry. It serves as a textbook for courses at either the senior or first-year graduate level, and it also provides a permanent reference for practicing engineers. The book explains both the theory and the practical implementation of matrix methods of structural analysis. Emphasis is placed on developing a physical understanding of the theory and the ability to use computer programs for performing structural calculations.


Matrix Methods of Structural Analysis

Matrix Methods of Structural Analysis
Author: R. K. Livesley
Publisher: Elsevier
Total Pages: 281
Release: 2014-05-16
Genre: Technology & Engineering
ISBN: 1483136264

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Matrix Methods of Structural Analysis presents how concepts and notations of matrix algebra can be applied to arriving at general systematic approach to structure analysis. The book describes the use of matrix notation in structural analysis as being theoretically both compact and precise, but also, quite general. The text also presents, from the practical point of view, matrix notation as providing a systematic approach to the analysis of structures related to computer programming. Matrix algebraic methods are useful in repeated calculations where manual work becomes tedious. The Gaus-Seidel method and linear programming are two methods to use in solving simultaneous equations. The book then describes the notation for loads and displacements, on sign conventions, stiffness and flexibility matrices, and equilibrium and compatibility conditions. The text discusses the formulation of the equilibrium method using connection matrices and an alternative method. The book evaluates the compatibility method as programmed in a computer; and it discusses the analysis of a pin-jointed truss and of a rigid-jointed truss. The book presents some problems when using computers for analyzing structures, such as decision strategy, accuracy, and checks conducted on handling large matrices. The text also analyzes structures that behave in a non-linear manner. The book is suitable for structural engineers, physicist, civil engineers, and students of architectural design.


Matrix Analysis of Structures SI Version

Matrix Analysis of Structures SI Version
Author: Aslam Kassimali
Publisher: Cengage Learning
Total Pages: 640
Release: 2012-08-08
Genre: Technology & Engineering
ISBN: 9781111426224

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This book takes a fresh, student-oriented approach to teaching the material covered in the senior- and first-year graduate-level matrix structural analysis course. Unlike traditional texts for this course that are difficult to read, Kassimali takes special care to provide understandable and exceptionally clear explanations of concepts, step-by-step procedures for analysis, flowcharts, and interesting and modern examples, producing a technically and mathematically accurate presentation of the subject. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.


Matrix Structural Analysis

Matrix Structural Analysis
Author: Pramod K. Singh
Publisher:
Total Pages: 0
Release: 2020-02-24
Genre: Science
ISBN: 9781646109883

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About the book Matrix structural analysis is a very elementary and useful subject, which is a stepping stone towards understanding more advanced subjects such as detailed finite element analysis, structural dynamics, and stability of structures. In the present day context, where use of computers for analysis of structures having ever-increasing complexity and size is mandatory, knowledge of this subject is essential even at undergraduate level. Study of the subject, not only clarifies structural analysis concepts, but it is also helpful in understanding of the unified analysis and design softwares like STAAD.Pro, SAP etc. Key Features Presents the unified approach of analysis for all types of skeletal structures. Concept of degree(s) of freedom is used in the solutions. The following web link can be used to download the soft copy of FORTRAN-90 program, its application file, data file and other supporting files. drive.google.com/open?id=1WBhAeAUBr-kWY7S7CZzV41Ysxlohbgh5 Computer solutions of the 5 examples on direct stiffness matrix method, and 30 other solved examples are also given in the web link for ready reference. About the author Dr. Pramod K. Singh worked as Professor & Head, and Institute Professor in the Department of Civil Engineering, Indian Institute of Technology (BHU), Varanasi, India. He taught Matrix Structural Analysis to undergraduate, postgraduate and pre-PhD students for more than three decades. He has developed the subject presentation in a unified and simplified form given in the book with the main computer application objective, which is very much liked by the students. He did his B.Sc. (Civil and Municipal Engineering), M.Sc. (Structures), and Ph.D. (Cable-Stayed Bridges) from the same institute. He has guided 3 PhD and 24 M.Tech. dissertations. He has published 62 research papers and received 4 best paper awards. He is a fellow / life member of four national professional bodies.


Matrix Structural Analysis

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

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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.


Matrix Analysis of Structures

Matrix Analysis of Structures
Author: V. James Meyers
Publisher: HarperCollins Publishers
Total Pages: 536
Release: 1983
Genre: Mathematics
ISBN:

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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

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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