Statics › Section J · Moments of inertia › Topic J.1
Integral properties of shapes
A flat shape has more to it than its area. A small family of integrals measures how that area is spread about an axis or a point, and those numbers decide how stiff a beam is and how well a shaft resists twisting.
In this topic
- Properties that belong to the shape
- Area and the first moment
- The second moment of area
- Why the distance is squared
- Worked example: estimating with strips
- The polar moment and the product of inertia
- Worked example: moving the axis to the centroid
- Area moment versus mass moment
- Why engineers care
- Common mistakes to avoid
- Key takeaways
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