Statics › Section J · Moments of inertia › Topic J.2
Moments of inertia of common shapes
Rectangles, triangles and circles make up most real cross-sections, so their second moments of area are worth deriving once and remembering. The derivations also teach the strip method that handles any other shape.
In this topic
- From definition to formula
- A rectangle about its base
- A rectangle about its centroid
- Worked example: a joist on edge or flat
- A triangle about its base
- Strips perpendicular to the axis
- Worked example: a parabolic spandrel
- Circles from rings
- Semicircles, quarter circles and tubes
- Worked example: solid bar or tube
- Common mistakes to avoid
- Key takeaways
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