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Statics · Lessons

Statics lessons

10 sections · 69 skills · work through the full outline skill by skill — read the long-form lesson or flip through the slide-style version.
Long-form lessonsSlide-style lessons

Statics

Practice 69 skills across this outline.

Recommended next
Force System Reduction
Moments and Couples · Couples and Equivalent Systems
Long-form lesson
Weighting distribution
20 categories
Area Moments of Inertia
10%
Structural Analysis: Frames and Machines
10%
Statics Foundations · Vectors and Units
7%
Friction · Dry Friction and Impending Motion
7%
Problem-Solving & Engineering Reasoning · Workflow and Strategy
6%
Centroids and Distributed Loads · Distributed Loads
6%

Skills

The comprehensive taxonomy of statics — drill into a card to work its skills.

Moments and Couples · Couples and Equivalent Systems

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Force System ReductionRecommended
Long-form
2
Equivalent Force-Couple SystemsAvailable
Long-form
3
Moment of a CoupleAvailable
Long-form

Moments and Couples · Moments of Forces

4 core skills5% total weight
0/4 completed
4 skills to mastery
1
Moment About an Axis: 3DAvailable
Long-form
2
Perpendicular Distance MethodAvailable
Long-form
3
Moment About a Point: 3DAvailable
Long-form
4
Moment About a Point: 2DAvailable
Long-form

Internal Forces and Shear–Moment Diagrams · Internal Forces in Beams

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Internal Forces via Section CutsAvailable
Long-form
2
Load-Shear-Moment RelationshipsAvailable
Long-form
3
Normal Force, Shear & Bending MomentAvailable
Long-form

Internal Forces and Shear–Moment Diagrams · Shear and Moment Diagrams

4 core skills5% total weight
0/4 completed
4 skills to mastery
1
Checking Diagram ConsistencyAvailable
Long-form
2
Maximum Moment & ShearAvailable
Long-form
3
Bending Moment DiagramsAvailable
Long-form
4
Shear Force DiagramsAvailable
Long-form

Problem-Solving & Engineering Reasoning · Workflow and Strategy

4 core skills6% total weight
0/4 completed
4 skills to mastery
1
Using Symmetry & AssumptionsAvailable
Long-form
2
System Boundary SelectionAvailable
Long-form
3
Checking Solution PlausibilityAvailable
Long-form
4
Common Statics PitfallsAvailable
Long-form

Problem-Solving & Engineering Reasoning · Diagram Interpretation

3 core skills4% total weight
0/3 completed
3 skills to mastery
1
Communicating ResultsAvailable
Long-form
2
Word Problems to FBDsAvailable
Long-form
3
Interpreting Engineering DiagramsAvailable
Long-form

Statics Foundations · Force Systems and Resultants

4 core skills3% total weight
0/4 completed
4 skills to mastery
1
Equivalent Resultant: 3DAvailable
Long-form
2
Force-Couple EquivalenceAvailable
Long-form
3
Equivalent Resultant: 2DAvailable
Long-form
4
Varignon's TheoremAvailable
Long-form

Statics Foundations · Vectors and Units

5 core skills7% total weight
0/5 completed
5 skills to mastery
1
Cross Product for MomentsAvailable
Long-form
2
Units & Sign ConventionsAvailable
Long-form
3
Dot Product: Projections & AnglesAvailable
Long-form
4
Vector Magnitude & DirectionAvailable
Long-form
5
Vector Components: 2D & 3DAvailable
Long-form

Friction · Dry Friction and Impending Motion

3 core skills7% total weight
0/3 completed
3 skills to mastery
1
Static & Kinetic FrictionAvailable
Long-form
2
Friction ConeAvailable
Long-form
3
Impending Motion & Friction DirectionAvailable
Long-form

Friction · Applications of Friction

3 core skills3% total weight
0/3 completed
3 skills to mastery
1
Wedges & Belt FrictionAvailable
Long-form
2
Friction in Connected BodiesAvailable
Long-form
3
Friction on Inclined PlanesAvailable
Long-form

Area Moments of Inertia

4 core skills10% total weight
0/4 completed
4 skills to mastery
1
Polar Moment of InertiaAvailable
Long-form
2
Area Moment of Inertia: Standard ShapesAvailable
Long-form
3
Parallel-Axis TheoremAvailable
Long-form
4
Area Moment: Composite AreasAvailable
Long-form

Centroids and Distributed Loads · Centroids and Center of Mass

3 core skills4% total weight
0/3 completed
3 skills to mastery
1
Centroid: Composite AreasAvailable
Long-form
2
Center of Mass: Distributed SystemsAvailable
Long-form
3
Centroid via IntegrationAvailable
Long-form

Centroids and Distributed Loads · Distributed Loads

3 core skills6% total weight
0/3 completed
3 skills to mastery
1
Distributed Load ResultantAvailable
Long-form
2
Line of Action: Distributed LoadsAvailable
Long-form
3
Load Intensity FunctionsAvailable
Long-form

Free-Body Diagrams and Equilibrium · Free-Body Diagrams

5 core skills6% total weight
0/5 completed
5 skills to mastery
1
Modeling Distributed LoadsAvailable
Long-form
2
Two-Force & Three-Force MembersAvailable
Long-form
3
FBD: ParticleAvailable
Long-form
4
FBD: Rigid BodyAvailable
Long-form
5
Support Types & ReactionsAvailable
Long-form

Free-Body Diagrams and Equilibrium · Equilibrium of a Particle

3 core skills2% total weight
0/3 completed
3 skills to mastery
1
Particle Equilibrium: 3DAvailable
Long-form
2
Concurrent Force SystemsAvailable
Long-form
3
Particle Equilibrium: 2DAvailable
Long-form

Free-Body Diagrams and Equilibrium · Equilibrium of a Rigid Body

4 core skills2% total weight
0/4 completed
4 skills to mastery
1
Rigid Body Equilibrium: 3DAvailable
Long-form
2
Choosing Moment PointsAvailable
Long-form
3
Support ReactionsAvailable
Long-form
4
Rigid Body Equilibrium: 2DAvailable
Long-form

Structural Analysis: Trusses · Method of Joints

2 core skills3% total weight
0/2 completed
2 skills to mastery
1
Method of JointsAvailable
Long-form
2
Tension vs. Compression in TrussesAvailable
Long-form

Structural Analysis: Trusses · Method of Sections

2 core skills3% total weight
0/2 completed
2 skills to mastery
1
Method of SectionsAvailable
Long-form
2
Choosing Section CutsAvailable
Long-form

Structural Analysis: Trusses · Truss Modeling and Zero-Force Members

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Ideal Truss AssumptionsAvailable
Long-form
2
Zero-Force MembersAvailable
Long-form
3
Identifying Truss ComponentsAvailable
Long-form

Structural Analysis: Frames and Machines

4 core skills10% total weight
0/4 completed
4 skills to mastery
1
Two-Force Members in FramesAvailable
Long-form
2
Frame Analysis via EquilibriumAvailable
Long-form
3
FBDs: Frames with PinsAvailable
Long-form
4
Machines & Internal ForcesAvailable
Long-form