Technical Book
Title: Computer
Analysis of Framed Structures
Author: Damodar Maity
Publisher: I.K. International
Publishing House Pvt. Ltd.,
Year of Publication: 2007
ISBN: 81-89866-19-2
Contents:
Chapter – 1 Introduction
1.1
A Brief History of
Structural Analysis
1.2
Computer Program
1.3
Computational Flow and
General Purpose of Programs
1.4
Impact of Computers on
Structural Analysis
Chapter – 2 Concepts on Computer
Analysis of Structures
2.1
Principles of Structural Analysis
2.1.1 Introduction
2.1.2 Theorem of Virtual Work
2.2
Basic Steps in Computer Analysis
2.3
Structural Idealization
2.3.1 Modeling of Real Structure
2.3.2 Physical
Categorization of Structures
2.3.3 Concepts of
Elements and Nodes
2.3.4
Natural Subdivision of Structure
2.4 Degrees of Freedom
2.5 Types of Structural Elements
2.5.1
One Dimensional Elements
2.5.2 Two Dimensional
Elements
2.5.3 Three
Dimensional Elements
2.7
Loads
2.7.1
Load
Transfer Path
2.8
Supports
2.9 Type of Analysis
2.9.1
Linear Vs. Nonlinear Analysis
2.9.2 Elastic Vs. Inelastic Analysis
2.9.4 Choice of Analysis
Chapter – 3 Matrices Related to
Structural Analysis
3.1 Introduction
3.2 Matrix Definitions
3.2.1 Square
Matrix
3.2.2 Row
Matrix
3.2.3 Column Matrix
3.2.4
Null Matrix
3.2.5
Diagonal Matrix
3.2.6 Unit Matrix
3.2.7 Symmetric
Matrix
3.2.8 Skew
Matrix
3.2.9
Skew-Symmetric Matrix
3.2.10
Transpose of a Matrix
3.2.11
Orthogonal Matrix
3.3 Banded Matrix
3.4 Trace of a Matrix
3.5 Partitioning of Matrix
3.6 Matrix Algebra
3.6.1 Matrix
Addition
3.6.2 Matrix
Subtraction
3.6.3 Matrix
Multiplication
3.6.4
Determinants
3.6.5 Computer
Program
3.7 Matrix Inversion
3.7.1 Matrix
Inversion by Adjoint Method
3.7.2 Matrix
Inversion by Cholesky Method
3.7.3 Matrix
Inversion by Partitioning
3.7.4 Computer
Program
3.8 Solution of Simultaneous Equations
3.8.1 Cramer’s
Rule
3.8.2
Gauss-Seidel Iterative Method
3.8.3 Gauss
Elimination Method
3.8.4 Computer
Program
3.9 Conditioning of Matrices
3.10 Eigenvalues and Eigenvectors
3.10.1 Jacobi
Method
3.10.2 Computer
Program
Chapter – 4 Flexibility Method
4.1 Introduction to Flexibility method
4.1.1 Concept
4.2
Flexibility approach to structural problems
4.3 Element Flexibility Matrix
4.4 Global Flexibility Matrix
4.5 Properties of Flexibility Matrix
4.6 Flexibility Method
4.6.1
Statically determinate structure
4.6.2
Statically indeterminate structure
4.7
Worked out Examples
4.7.1 Plane Truss
4.7.2 Continuous Beam
4.7.3 Plane Frame (Neglecting axial
deformation)
4.7.4 Plane Frame (Including axial
deformation)
4.7.5 Gird Beam
4.7.6 Space Truss
Chapter – 5 Stiffness Method
5.1 Introduction to Stiffness Method
5.2 Steps for Stiffness Method
5.2.1 Formulation of Element
Stiffness
5.2.2 Assemble
of Stiffness Matrix
5.2.3 Force Calculation
5.3
Local and Global Coordinate Systems
5.4 Transformation Matrices
5.5
Member Stiffness Matrix
5.6
Stiffness Transformation
5.7
Properties of Stiffness Matrix
5.8
Overall Stiffness Matrix
5.8.1 Computer Programming for
Global Stiffness Matrix
5.9
Boundary Conditions
5.9.1 Support Conditions
5.9.2 Support Displacements
5.9.3 Elastic Supports
5.9.4 Oblique Supports
5.9.5 Solution Techniques for
Different Boundary Conditions
5.10
End Actions for Restrained Members
5.10.1 End Actions due to Loads
5.10.2 End Actions due to End
Displacements
5.10.3 End Actions due to Prestrains
5.10.4 End
Actions due to Temperature Changes
5.11
Equivalent Joint Load
5.12
Rearrangement of Stiffness and Load Arrays
5.13
Calculation of Results
5.14
Analysis of Plane Truss
5.14.1 Steps for the Analysis of
Plane Truss
5.14.2 Local Stiffness Matrix of a
Plane Truss Member
5.14.3
Generalized Stiffness Matrix of a Plane Truss Member
5.14.4 Computer Program
5.14.5 Workout
Examples
5.15
Analysis of Continuous Beam
5.15.1 Stiffness Matrix
5.15.2
Generalized Stiffness Matrix of a Beam Member
5.15.3 Computer Program
5.15.4 Workout
Example
5.16
Analysis of Plane Frame
5.16.1 Stiffness Matrix
5.16.2 Generalized Stiffness Matrix
of a Plane Frame Member
5.16.3 Computer Program
5.16.4 Workout
Example
5.17
Analysis of Grid
5.17.1 Generalized Stiffness Matrix
of a Grid Member
5.17.2 Computer Program
5.17.3 Worked Out Example
5.18
Analysis of Space Frame
5.18.1 Stiffness Matrix
5.18.2 Generalized Stiffness Matrix
of a Space Frame Member
5.18.2 Computer Program
5.18.3 Worked Out Example
5.19
Comparison between Flexibility and Stiffness Method
5.20
Choice of the Method of Analysis
Chapter – 6 Computer Analysis of Framed Structures
6.1
Computer Programming for Analysis of Framed Structures
6.2 Computer Input - Output
6.2.1 Computer Input - Output for
Plane Truss Analysis
6.2.2 Computer Input - Output for
Beam Analysis
6.2.3 Computer Input - Output for
Space Truss Analysis
6.2.4 Computer Input - Output for
Plane Frame Analysis
6.2.5 Computer Input - Output for
Grid Analysis
6.2.6 Computer Input - Output for
Space Frame Analysis