Moment of Inertia Calculator for Different Geometric Shapes

Easily calculate the second moment of inertia of square, rectangle, circle, triangle and many other geometric shapes using this moment of inertia calculator.

It is the second moment of the mass or the area of the body, which can be defined as the moment of moment. It is commonly symbolised by the letter ‘I’.

Consider a body with a total mass of m. Let it be made up of minuscule particles with masses m1, m2, m3, and so on. If k1, k2, k3…. etc are the distances between two points on a fixed line, as shown in the picture, then the mass moment of inertia of the entire body is given by:

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

If the area of the figure is considered instead of the mass, the moment of inertia of the area is given by:

The radius of gyration is denoted by ‘k’ in the preceding equation. It is defined as the distance from a particular reference at which the entire mass or area of the body is supposed to be concentrated in order to produce the same value of ‘I’.

Moment of Inertia Calculator Use :

Steps to use this grade calculator are mentioned below:

This online calculator is really simple to use.
The moment of inertia of various geometric shapes about their centroidal axis can be calculated.
To compute the Ixx and Iyy, you only need to enter a few measurements of the shapes.

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Moment of Inertia of Different Geometric Shapes

So that you don’t get confused about how the values of Ixx and Iyy are computed, we’ve included the formulas for all the shapes utilised in this calculator below.