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Integrated Matrix Analysis of Structures

Theory and Computation

  • Mario Paz
  • William Leigh

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Mario Paz, William Leigh
    Pages 1-54
  3. Mario Paz, William Leigh
    Pages 55-91
  4. Mario Paz, William Leigh
    Pages 93-143
  5. Mario Paz, William Leigh
    Pages 145-170
  6. Mario Paz, William Leigh
    Pages 171-201
  7. Mario Paz, William Leigh
    Pages 203-220
  8. Mario Paz, William Leigh
    Pages 221-238
  9. Mario Paz, William Leigh
    Pages 239-260
  10. Mario Paz, William Leigh
    Pages 261-300
  11. Back Matter
    Pages 301-321

About this book

Introduction

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.

Keywords

beam civil engineering finite element method structural analysis structure

Authors and affiliations

  • Mario Paz
    • 1
  • William Leigh
    • 2
  1. 1.Speed Scientific SchoolUniversity of LouisvilleLouisvilleUSA
  2. 2.University of Central FloridaOrlandoUSA

Bibliographic information