Mechanical & Civil Engineering
Area Moment of Inertia (Parallel Axis) Calculator
Calculate the moment of inertia about a shifted axis using the parallel axis theorem.
Your inputs
Change any value to update the result instantly.
Moment of inertia about new axis
1,00,00,000 mm⁴
Centroidal moment of inertia
50,00,000 mm⁴
Transfer term A·d²
50,00,000 mm⁴
Distance between axes
50 mm
What this calculator does
Area Moment of Inertia (Parallel Axis) Calculator: Applies the standard mechanics-of-materials relationship for this load case so a student can see how the stress, strain or deflection follows from the geometry and the load.
What your result means
The headline figure tells you how hard the material is being worked, or how much it moves, under the load you entered. Compare it with the allowable value for your material and required factor of safety.
Formula and working
I = Ic + A·d²
- 1
Collect the inputs
Centroidal moment of inertia = 5,000,000 mm⁴; Cross-section area = 2,000 mm²; Distance between axes = 50 mm
- 2
Apply the formula
I = Ic + A·d²
- 3
Result
Moment of inertia about new axis = 10,000,000 mm⁴
Frequently asked questions
Symbols and assumptions
- Ic
- Centroidal moment of inertia (mm⁴)
- A
- Cross-section area (mm²)
- d
- Distance between axes (mm)
- • The material is homogeneous, isotropic and loaded within its linear-elastic range.
- • Inputs are entered in a consistent unit system, as labelled on each field.
Sources and review
Reviewed 2026-09-22 · Next review 2027-09-22
- • This is an educational estimate for learning and checking, not a design deliverable.
- • Real design must follow the governing code or standard for your jurisdiction and be reviewed and signed off by a qualified engineer.
- • Safety factors, load combinations and material certification are the responsibility of the designer, not of this page.
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
Report a mistake or request an improvement
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