Integrated Matrix Analysis of Structures: Theory and Computation: 704 (Kluwer International Series in Engineering & Computer Science) - Hardcover

Paz, Mario; Leigh, William

Hardcover

ISBN 10: 0792373081 ISBN 13: 9780792373087

Publisher: Springer, 2001

Synopsis

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.

About this title

Synopsis

This volume in matrix structural analysis is written for senior undergraduate students. Matrix structural analysis is presented in the various chapters for structures modelled as beams, plane frames, grid frames, space frames, plane trusses, and space trusses. An introduction to the related topic of the finite element method is also given. A CD-ROM accompanying this book contains not only the student version of SAP 2000 but also user manuals and numerous sample problems and examples. Throughout the book, illustrative examples are given with detailed solutions derived from hand calculations and from using the computer program. Long mathematical proofs have been relegated to a section on analytical problems at the end of each chapter. Appendices give the equivalent end forces for typical loading needed in matrix structural analysis. An extensive glossary is also included; this serves as a convenient reference for the student to locate definitions, concepts, and formulae. This text is useful for undergraduate civil engineering students as well as professional civil engineers interested in a simple presentation of matrix structural analysis.

Edition details

• Publisher: Springer
• Publication date: 2001
• Language: English
• ISBN 10: 0792373081
• ISBN 13: 9780792373087
• Binding: Hardcover
• Number of pages: 334