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.
General
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