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| Introduction | |
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| Historical Background | |
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| Classical, Matrix, and Finite-Element Methods of Structural Analysis | |
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| Flexibility and Stiffness Methods | |
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| Classification of Framed Structures | |
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| Analytical Models | |
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| Fundamental Relationships for Structural Analysis | |
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| Linear Versus Nonlinear Analysis | |
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| Software | |
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| Summary | |
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| Matrix Algebra | |
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| Definition of a Matrix | |
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| Types of Matrices | |
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| Matrix Operations | |
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| Gauss-Jordan Elimination Method | |
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| Summary | |
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| Problems | |
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| Plane Trusses | |
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| Global and Local Coordinate Systems | |
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| Degrees of Freedom | |
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| Member Stiffness Relations in the Local Coordinate System | |
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| Finite-Element Formulation Using Virtual Work | |
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| Coordinate Transformations | |
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| Member Stiffness Relations in the Global Coordinate System | |
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| Structure Stiffness Relations | |
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| Procedure for Analysis | |
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| Summary | |
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| Problems | |
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| Computer Program for Analysis of Plain Trusses | |
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| Data Input | |
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| Assignment of Structure Coordinate Numbers | |
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| Generation of the Structure Stiffness Matrix | |
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| Formation of the Joint Load Vector | |
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| Solution for Joint Displacements | |
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| Calculation of Member Forces and Support Reactions | |
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| Summary | |
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| Problems | |
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| Beams | |
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| Analytical Model | |
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| Member Stiffness Relations | |
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| Finite-Element Formation Using Virtual Work | |
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| Member Fixed-End Forces Due to Loads | |
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| Structure Stiffness Relations | |
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| Structure Fixed-Joint Forces and Equivalent Joint Loads | |
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| Procedure for Analysis | |
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| Computer Programs | |
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| Summary | |
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| Problems | |
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| Plane Frames | |
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| Analytical Model | |
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| Member Stiffness Relations in the Local Coordinate System | |
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| Coordinate Transformations | |
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| Member Stiffness Relations in the Global Coordinate System | |
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| Structure Stiffness Relations | |
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| Procedure for Analysis | |
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| Computer Program | |
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| Summary | |
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| Problems | |
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| Member Releases and Secondary Effects | |
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| Member Releases in Plane Frames and Beams | |
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| Computer Implementation of Analysis for Member Releases | |
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| Support Displacements | |
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| Computer Implementation of Support Displacement Effects | |
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| Temperature Changes and Fabrication Errors | |
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| Summary | |
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| Problems | |
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| Three-Dimensional Framed Structures | |
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| Space Trusses | |
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| Grids | |
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| Space Frames | |
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| Summary | |
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| Problems | |
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| Special Topics and Modeling Techniques | |
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| The Structure Stiffness Matrix Including Restrained Coordinates--An Alternative Formulation of the Stiffness Method | |
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| Approximate Matrix Analysis of Rectangular Building Frames | |
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| Condan of Degrees of Freedom, and Substructuring | |
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| Inclined Roller Supports | |
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| Offset Connections | |
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| Shear Deformations | |
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| Nonprismatic Members | |
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| Solution of Large Systems of Stiffness Equations | |
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| Summary | |
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| Problems | |
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| Introduction to Nonlinear Structural Analysis | |
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| Basic Concept of Geometrically Nonlinear Analysis | |
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| Geometrically Nonlinear Analysis of Plane Trusses | |
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| Summary | |
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| Problems | |