Automated Structural Analysis: An Introduction is a ten-chapter book that first discusses the ideas or laws fundamental to structures. Subsequent chapters describe the node method; node method for trusses, plane frames, and space frames; and the primitive stiffness matrix. The mesh method and Kron's methods are also reported. This book will be useful for undergraduates involved in structural analysis.
Inhalt
Preface
Chapter One Graphs, Networks, and Structures
1.1 Introduction
1.2 Graph Theory
1.3 Piping Networks
1.3.1 An Example
1.4 Skeletal Structures
1.4.1 Types of Structures Considered
1.4.2 Requirements for a Solution
Chapter Two The Node Method for Trusses
2.1 Introduction
2.2 The Truss
2.3 A Formal Description of the Truss Problem
2.4 A Decomposition
2.5 Exercises
2.5.1 Discussion of Exercise 3
Chapter Three A General Statement of the Node Method
3.1 Introduction
3.2 The Node Method
3.3 The Decomposition
3.4 Exercises
Chapter Four The Node Method for Plane Frames
4.1 The Plane Frame
4.2 Rotation of Coordinates
4.3 A Formal Description of the Plane Frame
4.4 A Decomposition
4.5 A Simple Example
4.6 Exercises
Chapter Five The Node Method for Space Frames
5.1 The Space Frame
5.2 A Formal Description of the Space Frame
5.3 A Decomposition
Chapter Six Some Generalizations
6.1 Introduction
6.2 Member Loads, Temperature, Lack of Fit, etc.
6.3 Examples
6.4 An Alternative Formulation for Temperature and Lack of Fit
6.5 Exercises
Chapter Seven The Primitive Stiffness Matrix
7.1 Introduction
7.2 Member Stiffness Obtained from the Cantilever Flexibility
7.3 Adding Flexibilities to Approximate a Curved Member
7.4 Singular Stiffness Matrices
7.5 The Effect of Shear
7.6 Exercises
Chapter Eight The Mesh Method
8.1 Introduction
8.2 The Mesh Method Derived from the Node Method
8.3 The Mesh Law
8.4 An Alternative Formulation
8.5 Exercises
Chapter Nine Miscellaneous Theorems
Chapter Ten Kron's Methods
10.1 Introduction
10.2 Tearing and Interconnecting
10.3 K-Partitioning
10.4 Method of Substructures
References
Appendices
A.1 Matrices and Vectors
A.2 The Classical Methods of Structural Analysis
A.3 Beams and Rods
A.4 Gaussian Elimination
A.5 The Solution of Large Systems
Computer Programs
General Comments
P.1 The Node Method for Plane Trusses
P.2 The Node Method for Space Trusses
P.3 The Node Method for Plane Frames
P.4 The Node Method for Space Frames
P.5 The Mesh Method for Plane Frames
P.6 A Program for Large Space Trusses
P.7 Adding Flexibilities
P.8 Plastic Analysis of Plane Frames
Index