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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.

Enter your inputs, and see outputs for Ixx and Iyy and section dimensions below!


Calculations

Inputs



H
:120mm​



B
:140mm​



tf
:11mm​



tw
:11mm​


Outputs

Moment of inertia


Ixx
:3629529.82mm4​



Iyy
:2527423.25mm4​


Dimensions


Area
:2739mm2​



xc
:70mm​



yc
:88.2349398mm​


Explanation

The 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.

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}

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