Structural Analysis
Structural Analysis
1. Fundamental Concepts
1.1 Introduction
1.2 Equilibrium
1.3 Boundary Conditions
1.4 Free Body Diagrams
1.5 Small Rigid Body Displacements
2. Forces in Statically Determinate Beams and Plane Frames
2.1 Introduction
2.2 Determinacy and Stability
Problems - Determinacy and Stability
2.3 Free Body Diagrams
2.4 Equilibrium Demonstration (Notebook)
2.5 Beam Reactions Example (Notebook)
2.6 Beam Reactions Examples
Problems - Beam Reactions
2.7 Frame Reactions, Part 1
Frame Reactions, Part 2
Problems - Frame Reactions
2.8 NVM Diagrams
Problems - Beam VM Diagrams
Problems - Frame NVM Diagrams
3. Forces in Statically Determinate Trusses
3.1 Introduction
3.2 Determinacy and Stability
3.3 Method of Joints
3.4 Method of Sections
3.5 Worked Examples
3.6 Matrix Methods
3.7 Matrix Methods Implementation
3.8 Stability and Matrix Methods
3.9 Suggested Problems
4. Virtual Displacements
4.1 Introduction
4.2 Work Done by Loads
4.3 Worked Examples
4.4 Suggested Problems
5. Influence Lines
5.1 Introduction - Part 1 - Equilibrium
Introduction - Part 2 - Müller-Breslau
Introduction - Part 3 - Use
5.2 Worked Examples
5.3 Suggested Problems
6. Elastic Displacements
6.1 Assumptions
6.2 Work and Energy
6.3 Bettis Law
6.4 Virtual Work
6.5 Truss Example 1
6.6 Truss Example 2
6.7 Beams and Frames
6.8 Suggested Problems
7. Statically Indeterminate Beams and Frames - Force Method
7.1 Introduction
7.2 Example - Beam 1
7.3 Example - Beam 1 Alternate Redundants
7.4 Example - Support Settlement
7.5 Example - Elastic Supports
7.6 Example - Frame 1
7.7 Example - Frame 2 (Alternate Redundant)
7.8 Example - Frame 3
7.9 Example - Multiple Redundants
7.10 Suggested Problems
8. Statically Indeterminate Beams and Frames - Stiffness Method
8.1 Introduction and Derivation
8.2 Fixed End Moments
8.3 Example Problem Solutions
8.4 Suggested Problems
9. Notebooks
9.1 Development of Integration Formulae
9.2 Demo of integrating m*M
9.3 Problem 6-5 Solution
9.4 Problem 6-6 Alternate Solution
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Structural Analysis
Revisions
Fundamental Concepts
Introduction
Equilibrium
Boundary Conditions: Constraints and Internal Conditions
Free Body Diagrams
Small Rigid Body Displacements
Forces in Statically Determinate Beams and Plane Frames
Forces in Statically Determinate Plane Trusses
Requirements for Structural Analysis
Forces by the Principle of Virtual Work (Method of Virtual Displacement)
Influence Lines
Displacements by the Principle of Virtual Work (Method of Virtual Force)
Forces in Statically Indeterminate Beams and Plane Frames
Forces in Statically Indeterminate Trusses
Introduction to the Stiffness Method
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Fundamental Concepts
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