

1  (22) 

1.1 Historical Background 


2  (1) 

1.2 Classical, Matrix, and FiniteElement Methods of Structural Analysis 


3  (1) 

1.3 Flexibility and Stiffness Methods 


4  (1) 

1.4 Classification of Framed Structures 


5  (5) 


10  (2) 

1.6 Fundamental Relationships for Structural Analysis 


12  (8) 

1.7 Linear versus Nonlinear Analysis 


20  (1) 


21  (1) 


22  (1) 


23  (25) 

2.1 Definition of a Matrix 


24  (1) 


25  (2) 


27  (11) 

2.4 GaussJordan Elimination Method 


38  (6) 


44  (1) 


45  (3) 


48  (79) 

3.1 Global and Local Coordinate Systems 


49  (3) 


52  (6) 

3.3 Member Stiffness Relations in the Local Coordinate System 


58  (9) 

3.4 FiniteElement 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) 


122  (1) 


123  (4) 

4 COMPUTER PROGRAM FOR ANALYSIS OF PLANE TRUSSES 


127  (34) 


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) 


158  (2) 


160  (1) 


161  (87) 


162  (8) 

5.2 Member Stiffness Relations 


170  (14) 

5.3 FiniteElement Formulation Using Virtual Work 


184  (6) 

5.4 Member FixedEnd Forces Due to Loads 


190  (6) 

5.5 Structure Stiffness Relations 


196  (9) 

5.6 Structure FixedJoint Forces and Equivalent Joint Loads 


205  (8) 

5.7 Procedure for Analysis 


213  (10) 


223  (21) 


244  (1) 


244  (4) 


248  (91) 


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) 


316  (17) 


333  (1) 


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) 


406  (1) 


407  (5) 

8 THREEDIMENSIONAL FRAMED STRUCTURES 


412  (82) 


413  (15) 


428  (23) 


451  (38) 


489  (1) 


489  (5) 

9 SPECIAL TOPICS AND MODELING TECHNIQUES 


494  (69) 

9.1 The Structure Stiffness Matrix Including Restrained CoordinatesAn 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) 


528  (4) 

9.6 Semirigid Connections 


532  (4) 


536  (4) 


540  (3) 

9.9 Solution of Large Systems of Stiffness Equations 


543  (16) 


559  (1) 


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  