Matrix Analysis of Structures

by Kassimali, Aslam

• ISBN13: 9780534206703
• ISBN10: 0534206700
• Edition: 1st
• Format: Hardcover
• Copyright: 1999-01-29
• Publisher: CL Engineering

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