Moment of Inertia Calculator
Compute area moment of inertia for common shapes.
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What This Calculator Does
Compute area moment of inertia for common shapes.
It combines Shape, Width (Rectangle), Height (Rectangle), Radius (Circle) to estimate Moment of Inertia, Shape.
Formula & Method
Area moment of inertia formulas: rectangle I=\frac{bh^3}{12} and circle I=\frac{\pi r^4}{4}.
Notation used in the formulas: R = Moment of Inertia; x_{1} = Shape; x_{2} = Width (Rectangle); x_{3} = Height (Rectangle); x_{4} = Radius (Circle).
Method summary: inputs are normalized to consistent units, core equations are evaluated, then secondary values are derived and rounded for display.
Use this calculator for quick scenario analysis. Start with baseline values, change one driver at a time, and compare how sensitive the results are to each input shown above.
Inputs Used
- Shape: Used directly in the calculation.
- Width (Rectangle): Used directly in the calculation.
- Height (Rectangle): Used directly in the calculation.
- Radius (Circle): Used directly in the calculation.
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