Standard syllabus
Statics · Undergraduate · Engineering
Topics
Force vectors and resultants
- Scalars, vectors, and vector operations in 2D and 3D
- Rectangular, polar, and component representations of forces
- Vector addition, subtraction, and resolution into components
- Dot product: projections and work interpretations
- Cross product: moments and perpendicular components
- Concurrent force systems and graphical vector addition
- Unit vectors and direction cosines
- Position vectors and relative geometry in 3D space
- Magnitude-direction form versus component form conversions
- Engineering sign conventions for forces and coordinates
Equilibrium of particles and rigid bodies
- Free-body diagrams: isolation and external/internal forces
- Equilibrium equations for particles in 2D and 3D
- Two-force and three-force member identification
- Moments about a point and about an axis
- Couples and equivalent force-couple systems
- Distributed loads: uniform and triangular loading
- Centroids of lines, areas, and composite shapes
- Equilibrium of rigid bodies: support reactions
- Statically determinate versus indeterminate intro
- Trusses: method of joints and method of sections
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