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.
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Enter your inputs, and see outputs for Ixx and Iyy and section dimensions below!
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CalculationsInputs﻿﻿H
:100mm​
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﻿﻿B
:135mm​
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﻿﻿t
:5mm​
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OutputsMoment of inertia
﻿﻿Ixx
:3700000mm4​
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﻿﻿Iyy
:5900000mm4​
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Dimensions
﻿﻿Area
:2250mm2​
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﻿﻿xc
:67.5mm​
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﻿﻿yc
:50mm​
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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.
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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-2tIxx​=12BH3​−12bh3​ Iyy​=12B3H​−12b3h​ Where: b=B−2th=H−2t
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