Statics › Section E · Rigid body equilibrium › Topic E.2

Supports, reactions, and free-body diagrams

Every support holds a body by pushing or pulling back in the directions it blocks. Learning exactly what each support can supply, and drawing it correctly on a free-body diagram, is the most important step in every equilibrium problem.

In this topic

  • Replacing supports with forces
  • Five steps to a free-body diagram
  • Supports that give one unknown
  • Supports that give two or three
  • The 2D supports at a glance
  • Directions and senses
  • Worked example: a diving board
  • Worked example: a shelf on a cable
  • Supports in 3D
  • Available and engaged reactions
  • Common mistakes to avoid
  • Key takeaways

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