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Free Engineering Tool

Area (Section) Moment of Inertia Calculator

Calculate cross-section properties — moment of inertia I, section modulus W, area A, and radius of gyration r — for common shapes.

CircleRectangleI-Beam#165
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Results

Moment of Inertia I
Section Modulus W
Cross-Section Area A
Radius of Gyration r
Distance to Extreme Fiber c

Solid Circle

Hollow Circle (Tube)

Rectangle

I-Beam (Symmetric)

General Relationships

ℹ️ Section modulus W = I/c relates bending moment to stress: σ = M/W. Radius of gyration r = √(I/A) is used in buckling analysis.

Vibromera — Portable Balancing & Vibration Analysis
Professional field balancing instruments and software. Used in 50+ countries.
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Nikolai Shelkovenko

Nikolai Shelkovenko

Nikolai Shelkovenko is a vibration analysis engineer and the founder and CEO of Vibromera. For more than 15 years he has balanced rotating equipment in the field rather than on a test bench: mulchers, industrial fans, crushers, centrifuges, shafts and spindles. That work is what the Balanset instruments grew out of — they were designed as a tool a specialist can carry to the machine and use alone, on site, not as laboratory equipment. Vibromera was founded in 2017 and has been based in Porto, Portugal, since 2023. Development, assembly and support of the Balanset line all happen here. The flagship instrument is the Balanset-1A, a portable analyser for single- and two-plane balancing and for vibration diagnostics. Nikolai is personally involved in customer support, in working through difficult balancing cases and in the development of the software. He works with customers worldwide, in any language.

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