Moment of Inertia Calculator: T Section

Welcome to our for moment of inertia calculator for a T-section. 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.
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Enter your inputs, and see outputs for Ixx and Iyy and section dimensions below!
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CalculationsInputs﻿﻿H
:120mm​
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﻿﻿B
:140mm​
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﻿﻿tf
:11mm​
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﻿﻿tw
:11mm​
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OutputsMoment of inertia
﻿﻿Ixx
:3629529.82mm4​
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﻿﻿Iyy
:2527423.25mm4​
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Dimensions
﻿﻿Area
:2739mm2​
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﻿﻿xc
:70mm​
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﻿﻿yc
:88.2349398mm​
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ExplanationThe moment of inertia of T-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.
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Ixx=twH3+(B−tw)tf33−A(H−yc)2 Iyy=tfB3+(H−tf)tw312I_{xx} = \frac{t_{w}H^3+(B-t_{w})t_{f}^3}{3}-A(H-y_{c})^2 \\\ \\ I_{yy} = \frac{t_{f}B^3+(H-t_{f})t_{w}^3}{12}Ixx​=3tw​H3+(B−tw​)tf3​​−A(H−yc​)2 Iyy​=12tf​B3+(H−tf​)tw3​​
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