Content
1 : INTRODUCTION
2 : FLEXIBILITY METHOD
3 : STIFFNESS METHOD
4 : PLANE TRUSS
5 : SPACE TRUSS
6 : PLANE FRAME
7 : GRID
8 : SPACE FRAME
9 : ADDITIONAL TOPICS – I
10 : ADDITIONAL TOPICS – II
11 : ADDITIONAL TOPICS – III
12 : NON-LINEAR ANALYSIS
APPENDIX A
APPENDIX B
APPENDIX C
BIBLIOGRAPHY
INDEX
Details Content
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Chapter 1 INTRODUCTION
1-1 General
1-2 Classification of structures
1-3 Conditions of structural analysis
1-4 Methods of analysis
1-5 Degree of static indeterminacy
1-6 Degree of kinematic indeterminacy
1-7 Force and displacement
1-8 Force displacement relations
Exercises I
Chapter 2 FLEXIBILITY METHOD
2-1 General
2-2 Flexibility method
2-3 Calculation of displacements
2-4 Examples of statically indeterminate structures
2-5 General approach in flexibility method
2-6 Examples
2-7 Concluding remarks
Exercises II
Chapter 3 STIFFNESS METHOD
3-1 General
3-2 Continuous beam (I)
3-3 Frames without sway and axial deformations
3-4 Total joint load
3-5 Bar assembly
3-6 Spring assembly
3-7 Shaft
3-8 Continuous beam (II)
3-9 Concluding remarks
Exercises III
Chapter 4 PLANE TRUSS
4-1 General
4-2 Stiffness matrix of a member
4-3 Joint equilibrium equations
4-4 Member force
4-5 Examples
4-6 Member stiffness matrix – alternate approach
4-7 Preliminaries to program
4-8 Flow chart
4-9 Data
4-10 Data file
4-11 Results
4-12 Computer program TRUSS1.FOR
4-13 Listing of program TRUSS1.FOR
4-14 Stiffness matrix in half band form
4-15 Computer program TRUSS2.FOR
4-16 Examples using TRUSS2.FOR
4-17 Listing of program TRUSS2.FOR
4-18 Reactions and boundary conditions
4-19 Data type II
4-20 Computer program TRUSS3.FOR
4-21 Examples using TRUSS3.FOR
4-22 Listing of program TRUSS3.FOR
4-23 Analysis of symmetric trusses
4-24 Inclined support
Exercises IV
Chapter 5 SPACE TRUSS
5-1 General
5-2 Stiffness matrix of a member
5-3 Equilibrium of a joint
5-4 Axial force in member
5-5 Illustrative example
5-6 Computer program STRUSS.FOR
5-7 Listing of program STRUSS.FOR
5-8 Examples using program
5-9 Stiffness matrix of a member – alternate approach
5-10 Establishing member axes
Exercises V
Chapter 6 PLANE FRAME
6-1 General
6-2 Stiffness matrix of a member
6-3 Joint equilibrium conditions
6-4 Member forces
6-5 Numerical example
6-6 Flow chart
6-7 Computer program PFRAME.FOR
6-8 Listing of program PFRAME.FOR
6-9 Examples using program
6-10 Internal hinge in member
6-11 Neglecting axial deformations
6-12 Inclined roller support
6-13 Cable supported beam
Exercises VI
Chapter 7 GRIDM
7-1 General
7-2 Stiffness matrix of a member
7-3 Joint equilibrium conditions
7-4 Member forces
7-5 Torsion constant
7-6 Examples
7-7 Computer program GRID.FOR
7-8 Listing of program GRID.FOR
7-9 Examples using program
Exercises VII
Chapter 8 SPACE FRAME
8-1 General
8-2 Stiffness matrix of a member
8-3 Joint equilibrium conditions
8-4 Fixed end reactions
8-5 Member end forces
8-6 Data type III
8-7 Computer program SFRAME.FOR
8-8 Listing of program SFRAME.FOR
8-9 Example
8-10 Examples using program SFRAME
Exercises VIII
Chapter 9 ADDITIONAL TOPICS – I
9-1 General
9-2 Half band width
9-3 Joint-code relations from fixity data
9-4 Joint load data and load vector
9-5 Groupwise data
9-6 Data generation
9-7 Storage schemes and memory requirement
9-8 Out-of-core methods
9-9 Frontal solution method
9-10 Variable dimensioning
Exercise IX
Chapter 10 ADDITIONAL TOPICS – II
10-1 Effects of member loads, temperature and lack of fit in trusses
10-2 Elastic supports
10-3 Direct approach in stiffness method
10-4 Super element
10-5 Sub-structure method of analysis
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10-6 Plastic analysis
10-7 Transfer matrix method
Exercises X
Chapter 11 ADDITIONAL TOPICS – III
11-1 Stiffness method as a variational approach
11-2 Strain energy
11-3 Potential of loads
11-4 Total potential energy
11-5 Minimum potential energy theorem
11-6 Loaded member – strain energy and potential of loads
11-7 Equilibrium equations and energy minimisation conditions
11-8 Interpolation and shape functions
11-9 Member stiffness matrix using assumed displacements
11-10 Equivalent joint loads using shape functions
11-11 Introduction to finite element method
11-12 Triangular element for plane stress analysis
Exercises XI
Chapter 12 NON-LINEAR ANALYSIS
12-1 Linear and non-linear response
12-2 Secant and tangent stiffness matrices
12-3 Non-linear analysis
12-4 Non-linear behaviour of a truss
12-5 Non-linear analysis of truss
12-6 Program steps for non-linear analysis of truss
Exercise XII
APPENDIX A
(A1) Slopes and deflections in beams
(A2) Combination of standard formulae
APPENDIX B
(B1) Restraining actions in restrained member
APPENDIX C
(C1) Simultaneous linear algebraic equations
(a) Determinant method
(b) Elimination methods
(b1) Gauss elimination method (rowwise)
(b2) Row exchanges in Gauss elimination method
(b3) Gauss elimination for half banded matrix [HA]
(b4) Gauss-Jordon elimination method
(b5) Gauss method – columnwise reduction of symmetric matrix [A]
(b6) Column wise reduction in skyline storage
(c) Methods based on decomposition of [A]
(c1) Cholesky square root decomposition
(c2) Cholesky decomposition of half banded matrix
(c3) Gauss-Doolite decomposition of symmetric [A]
(c4) Gauss-Doolite decomposition of [HA]
(c5) Gauss-Doolite decomposition of [ASKY]
(d) Iteration methods
(d1) Gauss-Seidel iteration method
(d2) Iteration method with half banded matrix [HA]
(e) Use of inverse
(f) Multiple and subsequent right sides
Bibliography
Index
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