Statics

This chapter includes the following topics:

• Model
  • Elements
  • Coordinate system
  • Loads
  • Section forces
  • Supports
  • Hinges
  • Free body diagrams
  • Structures
  • Displacement of rigid bodies in a mechanism
• Differential equations for equilibrium relations
  • … for extension
  • … for bending
  • … for cables
  • … for torsion
• Virtual work
• Resolution of forces
• Solve equilibrium
  • … of a planar particle
  • … of a 3D-particle
  • … of a body
  • … of a 3D-body
  • … of a body in torsion
• Solve support reactions for statically determinate structures
  • … using equilibrium
• Solve section forces truss structure
  • … with zero-force members
  • … using equilibrium in a specific cross-section
• Solve section forces frame structures
  • … using equilibrium in a specific cross-section
  • Diagrams
  • … using differential equations
• Solve section forces and shape cable
  • … using equilibrium in a specific cross-section
  • … using differential equations
• Solve section forces torsion structures
  • … using equilibrium in a specific cross-section
  • Diagrams
  • … using differential equations
• Solve structures using virtual work