Matrix Analysis Of Structural Dynamics

Uses state-of-the-art computer technology to formulate displacement method with matrix algebra. Facilitates analysis of structural dynamics and applications to earthquake engineering and UBC and IBC seismic building codes.

Uses state-of-the-art computer technology to formulate displacement method with matrix algebra. Facilitates analysis of structural dynamics and applications to earthquake engineering and UBC and IBC seismic building codes.

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.

Uses state-of-the-art computer technology to formulate displacement method with matrix algebra. Facilitates analysis of structural dynamics and applications to earthquake engineering and UBC and IBC seismic building codes.

This book is concerned with the static and dynamic analysis of structures. Specifi cally, it uses the stiffness formulated matrix methods for use on computers to tackle some of the fundamental problems facing engineers in structural mechanics. This is done by covering the Mechanics of Structures, its rephrasing in terms of the Matrix Methods, and then their Computational implementation, all within a cohesivesetting. Although this book is designed primarily as a text for use at the upper-undergraduate and beginning graduate level, many practicing structural engineers will find it useful as a reference and self-study guide. Several dozen books on structural mechanics and as many on matrix methods are currently available. A natural question to ask is why another text? An odd devel opment has occurred in engineering in recent years that can serve as a backdrop to why this book was written. With the widespread availability and use of comput ers, today's engineers have on their desk tops an analysis capability undreamt of by previous generations. However, the ever increasing quality and range of capabilities of commercially available software packages has divided the engineering profession into two groups: a small group of specialist program writers that know the ins and outs of the coding, algorithms, and solution strategies; and a much larger group of practicing engineers who use the programs. It is possible for this latter group to use this enormous power without really knowing anything of its source.

"Matrix structural analysis that integrates theoretical material with practical applications to engineering problems using advanced computer software. Presents solved analytical problems and illustrative examples, giving both hand calculations and computer solutions"--Provided by publisher.

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.

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