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Moment of Inertia Calculator: Circular Hollow Section

Welcome to our calculator for moment of inertia for a circular hollow section. Enter the diameter (D) and the steel 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



D
:100mm​



t
:4mm​


Outputs

Moment of inertia


Ixx
:1392152.8mm4​



Iyy
:1392152.8mm4​


Dimensions


d
:92mm​



Area
:1206.37158mm2​



xc
:50mm​



yc
:50mm​


Explanation

The moment of inertia of a circular hollow section can be calculated using the area moment of inertia formula shown to the right. D represents the section's diameter, and d is the diameter of the hollow space.

Ixx=π64D4−π64d4 Iyy=π64D4−π64d4I_{xx} = \frac{\pi}{64}D^4 - \frac{\pi}{64}d^4\\\ \\ I_{yy} = \frac{\pi}{64}D^4 - \frac{\pi}{64}d^4

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