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
﻿
﻿
CalculationsInputs﻿﻿H
:120mm​
﻿
﻿﻿B
:100mm​
﻿
﻿﻿tf
:13mm​
﻿
﻿﻿tw
:13mm​
﻿
OutputsMoment of inertia
﻿﻿Ixx
:8378266mm4​
﻿
﻿﻿Iyy
:2183876.5mm4​
﻿
Dimensions
﻿﻿Area
:3822mm2​
﻿
﻿﻿xc
:50mm​
﻿
﻿﻿yc
:60mm​
﻿
ExplanationThe 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}Ixx​=12BH3−(B−tw​)(H−2tf​)3​ Iyy​=122tf​B3+(H−2tf​)tw3​​
﻿
﻿
💬 We'd love your feedback on this template! It takes 1min!
Duplicate and customise this template!Did you know you can customise this template to your exact needs? Start creating a repository of reusable calculations for your company. Click 'Duplicate' on the top right now!
﻿
Related ResourcesIf you liked this, check out our other articles and resources!
Check out our library of templates here!
More physics calculators and explanations
Beam analysis tool
Elastic section modulus
Radius of Gyration In Structural Engineering
Slenderness ratio calculator
Steel Beam and Column Designer to AISC
Steel Beam and Column Designer to AS4100