Statics › Section B · Forces and other vectors › Topic B.3

3D vectors and direction angles

Guy wires, crane jibs and roof bracing rarely lie in a single plane. To handle them you need a third axis, a standard way to orient it, and ways to describe a direction in space when one angle is no longer enough.

In this topic

  • Into the third dimension
  • Right-handed axes
  • Rectangular components in 3D
  • Direction cosine angles
  • Worked example: a force on an anchor bolt
  • Worked example: finding the third angle
  • Spherical coordinates
  • Worked example: a guy-wire force
  • Cylindrical coordinates
  • Common mistakes to avoid
  • Key takeaways

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