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CE 536 Matrix Methods of Structural Analysis
Indeterminate Structural Analysis
- Methods of Linear Structural Analysis
- Review of Linear Algebra
- Review of the Displacement Method
- Direct Assembly of Equilibrium Equations
- Direct Assembly of External Reactions
- Columns of the Stiffness Matrix
- Eigenvalues of the Stiffness Matrix
Structural and Element DOFs
- Structural Degrees of Freedom
- Element Degrees of Freedom
- Local Coordinate System
- Basic Coordinate System
- Three-Dimensional Coordinate System
- Truss and Spring Elements
Structural Equilibrium and Compatibility
- Structural Equilibrium Equations
- Automatic Selection of Redundants
- PVF at the Structural Level
- Primary Structure with Internal Redundants
- Primary Structure with External Redundants
- Primary Structure with Internal and External Redundants
- Structural Compatibility Equations
- Principle of Virtual Displacements
- PVD to Generate Equilibrium Equations
Matrix Approach to the Displacement Method
- Element Equilibrium and Compatibility
- Section Constitutive Equations
- Basic Force-Deformation Relationship
- Displacement Method of Analysis
- Cantilever Basic System
- Displacement Method with Inclined Frame Elements
Computer Implementation of the Displacement Method
OpenSees
Equation Numbering
- Equation Numbering
- Matrix Storage
Constraint Handling Methods
- Axial Rigidity of a Frame Element
- Flexural Rigidity of a Frame Element
- Kinematics of Constrained Structure
- Constraint Handling Methods
Additional Frame Modeling Considerations
- Shear Deformations
- Moment Releases
- Rotational Springs
- Rigid Joint Assumptions
Matrix Approach to the Force Method
- Force Method of Analysis
- Truss Analysis by the Force Method
- Force Method - More Considerations
Additional Topics
- Truss Analysis with the Displacement Method
- Unrolling Matrix-Vector Computations
- Structural Dynamics
- Finite Element Method
Introduction to Python
Felton & Nelson Notation Mapping