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Moment of Inertia Calculator: Rectangular Hollow Section (SHS/RHS)

Welcome to our calculator for the moment of inertia for a rectangular hollow section. Enter the height (H), width (B) and thickness (t) of your section below, 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
:100mm​



B
:135mm​



t
:5mm​


Outputs

Moment of inertia


Ixx
:3700000mm4​



Iyy
:5900000mm4​


Dimensions


Area
:2250mm2​



xc
:67.5mm​



yc
:50mm​



Explanation


The moment of inertia of a rectangular hollow section can be calculated using the equations shown to the right. B represents the section's width, and H is its height. t is the thickness of the steel in the section. b and h denote the inner dimensions of the section, and are used to calculate the dimensions of the hollow space.

Ixx=BH312−bh312 Iyy=B3H12−b3h12 Where: b=B−2th=H−2tI_{xx} = \frac{BH^3}{12} - \frac{bh^3}{12} \\\ \\ I_{yy} = \frac{B^3H}{12} -\frac{b^3h}{12} \\\ \\ \small{\text{Where:}}\\\ \\ b=B-2t \\h=H-2t


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