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Moment of Inertia Calculator: I Beam

Welcome to our I-beam moment of inertia calculator. Enter the height (H) and width (B) of your section below, as well as your flange (tf) and web (tw) width, and see the results in the output section below.

This tool calculates Ixx and Iyy about the centroidal axis. The tool is for symmetrical I-Beams, where both flanges are the same size.

Note! This is not to be confused with a second moment of area calculator


Calculations

Inputs



H
:120mm​



B
:100mm​



tf
:13mm​



tw
:13mm​


Outputs

Moment of inertia


Ixx
:8378266mm4​



Iyy
:2183876.5mm4​

Dimensions


Area
:3822mm2​



xc
:50mm​



yc
:60mm​


Explanation

The moment of inertia of an I-section can be calculated using the equations shown to the right. B represents the section's width, and H is its height. tw is the thickness of the web and tf is the thickness of the flanges.

Ixx=BH3−(B−tw)(H−2tf)312 Iyy=2tfB3+(H−2tf)tw312I_{xx} = \frac{BH^3-(B-t_{w})(H-2t_{f})^3}{12} \\\ \\ I_{yy} = \frac{2t_{f}B^3+(H-2t_{f})t_{w}^3}{12}

💬 We'd love your feedback on this template! It takes 1min!

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