Area Moment Of Inertia Calculator
Calculate the area moment of inertia (second moment of area) for common cross-sectional shapes: rectangle, circle, and triangle. Useful for beam bending and structural analysis.
Published by:
isCalculator Editorial Team
Was this calculator helpful?
How to use this tool?
This calculator computes the area moment of inertia (second moment of area) for common cross-sectional shapes. Follow these steps:
- Select a shape from the dropdown menu: Rectangle, Circle, or Triangle.
- Enter the required dimensions in consistent units (e.g., all in mm, cm, or inches):
- Rectangle: Width (b) and Height (h)
- Circle: Diameter (d)
- Triangle: Base (b) and Height (h)
- Click "Calculate" to get the result.
- Read the result displayed in units4 (e.g., mm4, cm4, in4). The formula used is shown below the result.
Note: All inputs must be positive numbers. The calculator works with any unit system as long as you use the same unit for all dimensions.
Previous Results
| Result | Inputs | Date |
|---|
Frequently Asked Questions
The area moment of inertia (I) measures a cross-section's resistance to bending. It depends on the shape's geometry and is used in beam deflection and stress calculations.
The result is in units^4 (e.g., mm^4, in^4) based on the input units. Ensure consistent units for all inputs.
This calculator supports rectangles, circles, and triangles. For other shapes, use more specialized tools.