Moment of Inertia Calculator: Channel Section

Welcome to our calculator for moment of inertia for an equal channel section. Enter the height (H), width (B) and steel thickness (t) of your section below, and see the results in the output section below.
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Enter your inputs, and see outputs for Ixx and Iyy and section dimensions below!
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CalculationsInputs﻿﻿H
:220mm​
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﻿﻿B
:210mm​
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﻿﻿t
:15mm​
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OutputsMoment of inertia
﻿﻿Ixx
:75000000mm4​
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﻿﻿Iyy
:42000000mm4​
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Dimensions
﻿﻿Area
:9150mm2​
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﻿﻿xc
:74.6311475mm​
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﻿﻿yc
:110mm​
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ExplanationThe moment of inertia of an equal channel section can be calculated using the equations shown to the right. 
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Ixx=BH3−(B−t)(H−2t)312 Iyy=2tB3+(H−2t)t33−Axc2I_{xx} = \frac{BH^3-(B-t)(H-2t)^3}{12} \\\ \\ I_{yy} = \frac{2tB^3+(H-2t)t^3}{3} - Ax_{c}^2Ixx​=12BH3−(B−t)(H−2t)3​ Iyy​=32tB3+(H−2t)t3​−Axc2​
A represents the area of the section component, and xc represents the distance from the centroid of the section from the bottom left-hand corner of the section in the x direction.
B represents the section's width, H is its height, and t is the web and flange thickness.
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