Mechanics

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
ENERGY METHODS
Notes
Energy Methods
Hjelmstad’s Nonlinear Beam
Examples
Deflection and Buckling of Simply Supported Deep Beam
Buckling of Arch
Beam with Membrane Effect
Ritz for Cantilever with Axial Force