theorems
Product of Inertia Calculator
Calculate and understand the product of area inertia relative to defined axes.
Product of Inertia Calculator
Define your section
Simplified product of inertia
Width used to calculate the area
Height used to calculate the area
Horizontal distance from the reference axes
Vertical distance from the reference axes
Calculated properties
Ixy = A·x̄·ȳ for a concentrated area representation- This is a simplified concentrated-area model, not a general section-property solver.
Length inputs are converted to millimetres for calculations. Review the assumptions before using results in engineering work.
About this calculation
Enter the required dimensions and select the appropriate length unit. The calculator displays results based on the selected calculation and its stated assumptions.
Moment of inertia and related section properties depend on the geometry, reference axes, units, and assumptions used. Review the displayed formula and assumptions before using any result.
These tools are intended for educational and preliminary engineering calculations. Independently verify critical results before using them in engineering design or safety-related work.
Calculation methodology
Learn about formulas, units, assumptions, and calculation limitations in our calculation methodology.