- STATICS
**Notes**- Forces and Resultants
- Free Body Diagrams

- SOLID MECHANICS
**Notes**- Stress and Strain
- Boundary Value Problems
- Kinematic Compatibility
- Material Law
- Equilibrium
- Stress Transformations, Mohr’s Circle, Principal Stress
- Continuum Mechanics with Tensors
- Green-Lagrange Strain
**Examples**- Mohr’s Circle for Beam + Mathematica Visualizer
- 2D Cantilevered Beam

- MEMBERS AND SECTIONS
**Notes**- Truss Members
- Euler-Bernoulli Beams
- Timoshenko Beams
- Tapered Beams
- Beams with Axial Force
- Beams on Elastic Foundation
- Cylindrical Shells
- Saint Venant Torsion
- Warping Torsion
- Lateral Torsional Buckling
- Kirchhoff and Mindlin Plates
- Cables and the Catenary Shape
**Beam Examples**- Fixed-roller Beam with Point Load
- Beam with Prescribed End Displacements
- Beam on Elastic Foundation
- Ponding
- Cantilever in Torsion
- Single-tapered Beam
- Cantilever with Axial Force
**Plate Examples**- Naviers Plate Solution for Uniform Load
- Naviers Plate Solution for Point Load
- Levys Plate Solution for Uniform Load
- Plate with Edge Moments
**Cross-section Examples**- I Cross-section
- Channel Cross-section
- Closed Rectangular Cross-section
- Closed Cross-section with Flanges
- Two-cell Cross-section
**Other Examples**- Cable Cases
**Python**(note)- BeamDiagrams.py (Screenshot) needs LinearStructuralAnalysisFunctions.py

- TRUSSES AND FRAMES
**Notes**- Overview of Methods
- Analysis of Determinate Structures
- Degree of Static Indeterminacy
- Degrees of Freedom
- Unit Virtual Load Method
- Flexibility Method
- Moment-Area Method
- Conjugate Beam Method
- Slope Deflection Method
- Moment Distribution Method
- Stiffness Method
- Influence Lines
- Approximate Methods
**Determinate Examples**- Beam Supported by Triangle Truss
- Determinate Portal Frame
- Determinate Portal Frame with Hinge
- Determinate Curved Beam
**Virtual Work Examples**- Cantilever
- Beam Supported by Triangle Truss
- Beam Supported by Truss Member
**Flexibility Method Examples**- Fixed-roller Beam
- T Frame
- Fixed-roller-roller Beam
- Beam with Varying Cross-section
- Beam Resting on Beam
- Beam Supported by Truss Member
- Beam with Pretensioned Undertruss
- Indeterminate Curved Beam
**Moment-Area Examples**- Simply Supported Beam
- S Frame
**Slope Deflection Examples**- L Frame
- Portal Frame
**Stiffness Method Examples**- L Frame
- Fixed-roller-roller Beam
- Portal Frame
- Fixed-fixed Beam with Cantilevered Load
- Frame with Inclined Roof
- Truss
- Three-member Buttress Frame
**Moment Distribution Examples**- Fixed-roller-fixed Beam
- Fixed-roller Beam
- Fixed-roller-roller Beam (Formulas)
- Symmetric Beam
- Beam with Cantilevers