Integrated Matrix Analysis of Structures,9780792373087

Integrated Matrix Analysis of Structures

by ;
Edition: CD
ISBN13: 9780792373087
ISBN10: 0792373081
Format: Hardcover
Pub. Date: 2001-01-01
Publisher(s): Kluwer Academic Pub
List Price: $230.99

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Summary

This volume in matrix structural analysis is written for senior undergraduate students. Matrix structural analysis is presented in the various chapters for structures modeled 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 essential for undergraduate civil engineering students. Professional civil engineers interested in a simple presentation of matrix structural analysis will also find the book useful.

Table of Contents

Preface xi
Acknowledgments xiii
Beams: Analytical Methodology
Introduction
1(1)
Elements, Nodes and Nodal Coordinates
2(1)
Shape Functions and Stiffness Coefficients
3(3)
Element Stiffness Matrix
6(1)
Assembly of the System Stifness Matrix
7(3)
System Force Vector
10(5)
System Nodal Displacements and Support Reactions
15(2)
Element End Forces
17(3)
End Releases in Beam Elements
20(5)
Support Displacements
25(5)
Element Displacement Functions
30(2)
Shear Force and Bending Moment Functions
32(1)
The Temperature Effect
33(4)
Elastic Supports
37(5)
Analytical Problems
42(7)
Practice Problems
49(6)
Beams: Computer Applications
Computer Program
55(31)
Problems
86(7)
Plane Frmes
Introduction
93(1)
Stiffness Coefficients for Axial Forces
93(2)
Displacement Functions for Axially Loaded Beams
95(1)
Element Stiffness Matrix for Plane Frame Elements
96(1)
Coordinate Transformation
97(2)
Equivalent Nodal Force for an Axially Loaded Beam Element
99(1)
Element End Forces
99(10)
Inclined Roller Supports
109(24)
Analytical Problems
133(4)
Practice Problems
137(8)
Grid Frames
Introduction
145(1)
Torsional Effects
145(2)
Stiffness Matrix for a Grid Element
147(1)
Transformation of Coordinates
148(2)
Analysis of Grid Frames
150(17)
Problems
167(4)
Space Frames
Introduction
171(1)
Element Stiffness Matrix
171(2)
Transformation of Coordinates
173(7)
Reduced System Stifness Equation
180(13)
Analytical Problems
193(7)
Practice Problems
200(3)
Plane Trusses
Introduction
203(1)
Element Stiffness Matrix in Local Coordinates
203(1)
Transformation of Coordinates
204(1)
Element Stiffness Matrix in Global Coordinates
205(1)
Assemblage of System Stiffness Matrix
206(1)
End-Forces for an Element of a Truss
206(11)
Problems
217(4)
Space Trusses
Introduction
221(1)
Element Stiffness Matrix of a Space Truss Local Coordinates
221(2)
Transformation of the Element Stiffness Matrix
223(1)
Element Axial Force
224(1)
Assemblage of the System Stiffness Matrix
225(11)
Problems
236(3)
Static Condensation and Substructuring
Introduction
239(1)
Static Condensation
239(5)
Substructuring
244(15)
Problems
259(2)
Introduction to Finite Element Method
Introduction
261(1)
Plane Elasticity Problems
262(23)
Plate Bending
285(1)
Rectangular Finite Element for Plate Bending
285(13)
Problems
298(3)
APPENDIX I
Equivalent Nodal Forces
301(4)
APPENDIX II
Displacement Functions for Fixed-End Beams
305(4)
Glossary 309(8)
Selected Bibliography 317(2)
Index 319

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