Statics › Section J · Moments of inertia › Topic J.5

Polar moment of inertia

Bending depends on how area is spread about an axis in the plane; twisting depends on how it is spread about a point. The polar moment of inertia measures that, and it is the number that sizes every drive shaft.

In this topic

  • Spread about a point
  • The link to Ix and Iy
  • Circles and tubes
  • Rectangles and moving the point
  • Worked example: a rectangle about two points
  • Shafts in torsion
  • Worked example: solid or hollow shaft
  • A caution about other shapes
  • Common mistakes to avoid
  • Key takeaways

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