// multi-utility computation suite · offline · instant · precise
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eng.moment-of-inertia-composite Calculator
Calculates the composite moment of inertia for a built-up section from component areas and centroid distances using the parallel axis theorem. The parallel axis theorem (I = I_centroid + A×d²) shows that components far from the neutral axis contribute most to bending stiffness.
Inputs
B Mm
Horizontal extent perpendicular to the length.
Tf Mm
Perpendicular measurement through the material. For insulation: thicker is better. For beams: directly affects bending resistance.
Hw Mm
Vertical measurement. For health calculators, typically standing height without shoes.
Tw Mm
Perpendicular measurement through the material. For insulation: thicker is better. For beams: directly affects bending resistance.
Results
second moment of area I (mm⁴)
The computed two-dimensional surface area.
I (cm⁴)
Reference formula or conversion factor shown for context.
section modulus Z = I/y_top (cm³)
Sample size or count used in the calculation.
total cross-section area (mm²)
The combined total across all inputs and components.