Automated Structural Analysis

PrefaceChapter 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 SolutionChapter 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 3Chapter Three A General Statement of the Node Method 3.1 Introduction 3.2 The Node Method 3.3 The Decomposition 3.4 ExercisesChapter 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 ExercisesChapter Five The Node Method for Space Frames 5.1 The Space Frame 5.2 A Formal Description of the Space Frame 5.3 A DecompositionChapter 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 ExercisesChapter 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 ExercisesChapter 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 ExercisesChapter Nine Miscellaneous TheoremsChapter Ten Kron's Methods 10.1 Introduction 10.2 Tearing and Interconnecting 10.3 K-Partitioning 10.4 Method of SubstructuresReferencesAppendices 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 SystemsComputer 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 FramesIndex