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Matrix Analysis of Structures,9780534206703
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Matrix Analysis of Structures

by
Edition:
1st
ISBN13:

9780534206703

ISBN10:
0534206700
Media:
Hardcover
Pub. Date:
1/29/1999
Publisher(s):
CL Engineering
List Price: $274.33

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Summary

This book takes a fresh, student-oriented approach to teaching the material covered in the senior- and first-year graduate-level matrix structural analysis course taken by civil engineering majors. Unlike traditional texts for this course that are difficult to read, Kassimali takes special care to provide understandable and exceptionally clear explanations of concepts, step-by-step procedures for analysis, flowcharts, and interesting and modern examples, producing a technically and mathematically accurate presentation of the subject.

Table of Contents

1 INTRODUCTION
1(22)
1.1 Historical Background
2(1)
1.2 Classical, Matrix, and Finite-Element Methods of Structural Analysis
3(1)
1.3 Flexibility and Stiffness Methods
4(1)
1.4 Classification of Framed Structures
5(5)
1.5 Analytical Models
10(2)
1.6 Fundamental Relationships for Structural Analysis
12(8)
1.7 Linear versus Nonlinear Analysis
20(1)
1.8 Software
21(1)
Summary
22(1)
2 MATRIX ALGEBRA
23(25)
2.1 Definition of a Matrix
24(1)
2.2 Types of Matrices
25(2)
2.3 Matrix Operations
27(11)
2.4 Gauss-Jordan Elimination Method
38(6)
Summary
44(1)
Problems
45(3)
3 PLANE TRUSSES
48(79)
3.1 Global and Local Coordinate Systems
49(3)
3.2 Degrees of Freedom
52(6)
3.3 Member Stiffness Relations in the Local Coordinate System
58(9)
3.4 Finite-Element Formulation Using Virtual Work
67(9)
3.5 Coordinate Transformations
76(9)
3.6 Member Stiffness Relations in the Global Coordinate System
85(4)
3.7 Structure Stiffness Relations
89(16)
3.8 Procedure for Analysis
105(17)
Summary
122(1)
Problems
123(4)
4 COMPUTER PROGRAM FOR ANALYSIS OF PLANE TRUSSES
127(34)
4.1 Data Input
128(11)
4.2 Assignment of Structure Coordinate Numbers
139(3)
4.3 Generation of the Structure Stiffness Matrix
142(5)
4.4 Formation of the Joint Load Vector
147(2)
4.5 Solution for Joint Displacements
149(2)
4.6 Calculation of Member Forces and Support Reactions
151(7)
Summary
158(2)
Problems
160(1)
5 BEAMS
161(87)
5.1 Analytical Model
162(8)
5.2 Member Stiffness Relations
170(14)
5.3 Finite-Element Formulation Using Virtual Work
184(6)
5.4 Member Fixed-End Forces Due to Loads
190(6)
5.5 Structure Stiffness Relations
196(9)
5.6 Structure Fixed-Joint Forces and Equivalent Joint Loads
205(8)
5.7 Procedure for Analysis
213(10)
5.8 Computer Program
223(21)
Summary
244(1)
Problems
244(4)
6 PLANE FRAMES
248(91)
6.1 Analytical Model
249(6)
6.2 Member Stiffness Relations in the Local Coordinate System
255(12)
6.3 Coordinate Transformations
267(8)
6.4 Member Stiffness Relations in the Global Coordinate System
275(8)
6.5 Structure Stiffness Relations
283(15)
6.6 Procedure for Analysis
298(18)
6.7 Computer Program
316(17)
Summary
333(1)
Problems
334(5)
7 MEMBER RELEASES AND SECONDARY EFFECTS
339(73)
7.1 Member Releases in Plane Frames and Beams
340(20)
7.2 Computer Implementation of Analysis for Member Releases
360(1)
7.3 Support Displacements
361(23)
7.4 Computer Implementation of Support Displacement Effects
384(5)
7.5 Temperature Changes and Fabrication Errors
389(17)
Summary
406(1)
Problems
407(5)
8 THREE-DIMENSIONAL FRAMED STRUCTURES
412(82)
8.1 Space Trusses
413(15)
8.2 Grids
428(23)
8.3 Space Frames
451(38)
Summary
489(1)
Problems
489(5)
9 SPECIAL TOPICS AND MODELING TECHNIQUES
494(69)
9.1 The Structure Stiffness Matrix Including Restrained Coordinates--An Alternative Formulation of the Stiffness Method
495(6)
9.2 Approximate Matrix Analysis of Rectangular Building Frames
501(8)
9.3 Condensation of Degrees of Freedom, and Substructuring
509(16)
9.4 Inclined Roller Supports
525(3)
9.5 Offset Connections
528(4)
9.6 Semirigid Connections
532(4)
9.7 Shear Deformations
536(4)
9.8 Nonprismatic Members
540(3)
9.9 Solution of Large Systems of Stiffness Equations
543(16)
Summary
559(1)
Problems
560(3)
APPENDIX A COMPUTER SOFTWARE 563(2)
APPENDIX B FLEXIBILITY METHOD 565(7)
BIBLIOGRAPHY 572(2)
ANSWERS TO SELECTED PROBLEMS 574(13)
INDEX 587


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