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eng.moment-of-inertia-sections Calculator
Calculates second moment of area (moment of inertia) for common cross-sections (I, T, channel, rectangle, circle) about any axis. Moment of inertia is the key geometric property governing bending stiffness — doubling the depth of a rectangular section increases I by 8×.
Inputs
Section Type
Reference formula or conversion factor shown for context.
Width Mm
Distance across a circle through its centre. Always confirm units match the rest of the calculation.
Height Mm
Vertical measurement. For health calculators, typically standing height without shoes.
Flange Thickness Mm
Perpendicular measurement through the material. For insulation: thicker is better. For beams: directly affects bending resistance.
Results
moment of inertia Ix (m⁴)
Sample size or count used in the calculation.
moment of inertia (cm⁴)
Sample size or count used in the calculation.
section modulus S (cm³)
Sample size or count used in the calculation.
section type
The classification or type assigned based on the inputs.
I = bh³/12 (rectangle)
The computed angle in degrees or radians.
I = πd⁴/64 (circle)
Reference formula or conversion factor shown for context.