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Moment of Inertia Calculator

Shape

Width (b, in)

Ύψος

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What is Moment Of Inertia Calculator?

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Moment of inertia measures a shape's resistance to bending. Higher I values indicate better deflection resistance and are key in beam selection.

DigiCalcs delivers precision-engineered tools for engineers and STEM professionals.

Τύπος

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f(x)For common shapes: rectangles I = bh³/12, circles I = πd⁴/64

Variable Legend

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Σύμβολο	Όνομα	Μονάδα	Περιγραφή
I	bh³/12	—	bh³/12

How to Moment Of Inertia Calculator

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1Calculate I by integrating area times distance squared from neutral axis
2For common shapes: rectangles I = bh³/12, circles I = πd⁴/64
3Results show bending stiffness contribution

Worked Examples

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Example 1

Given:Rectangular beam 200 mm wide × 400 mm tall

Αποτέλεσμα:I = 200×400³/12 ≈ 1.07×10⁹ mm⁴

Significant bending resistance

Real-World Applications

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Electrical engineering design and circuit prototyping

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Electronics education and university physics coursework

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Troubleshooting and diagnosing electrical faults in real systems

Frequently Asked Questions

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Why does I depend on axis location?

Material farther from neutral axis contributes more to bending resistance; parallel axis theorem accounts for location.

How does I affect beam weight?

I-beams maximize I while minimizing weight by placing material far from neutral axis.

Common Mistakes to Avoid

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!Using wrong axis (major vs. minor axis moment)
!Confusing moment of inertia with mass moment of inertia

References

›Moment Of Inertia — Wikipedia

📖Difficulty:Intermediate

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Reviewed October 2026

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