Statics › Section G · Centroids and centers of gravity › Topic G.3

Centroids

Strip away the material and keep only the shape, and the centre of gravity becomes the centroid: a purely geometric point that every beam section, plate and load diagram in statics relies on.

In this topic

  • A centre for pure shapes
  • Defining the centroid
  • First moments of area
  • When centroid, centre of mass and CG coincide
  • Symmetry does the work
  • Worked example: two steel sections
  • Centroids of standard shapes
  • Worked example: a gusset plate
  • Checking a centroid
  • Common mistakes to avoid
  • Key takeaways

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