This calculator helps you determine the moment of inertia for different shapes. It's aimed at engineers and physicists who need precise calculations for structural analysis.
All calculations are based on standard engineering formulas and verified data sources.
The formula used is:
Rectangle: \( I = \frac{b \cdot h^3}{12} \)
Circle: \( I = \frac{\pi \cdot d^4}{64} \)
Triangle: \( I = \frac{b \cdot h^3}{36} \)
For a rectangle with base 10mm and height 20mm, the moment of inertia is calculated as \( I = \frac{10 \cdot 20^3}{12} = 6666.67 \text{ mm}^4 \).
It is a physical quantity that determines the torque needed for a desired angular acceleration about an axis of rotation.
It is crucial for structural stability and strength analysis.
Select the shape that best matches your design or analysis requirements.
Yes, for composite shapes, calculate each component's moment and sum them up.
Ensure all dimensions are in millimeters for consistency with results in mm^4.
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Rectangle: \( I = \frac{b \cdot h^3}{12} \) Circle: \( I = \frac{\pi \cdot d^4}{64} \) Triangle: \( I = \frac{b \cdot h^3}{36} \)