Moment of Inertia Calculator for Beam Sections

Welcome to SkyCiv's Free Moment of Inertia Calculator! This free Section Builder is able to accurately and quickly determine the moment of inertia among other section properties. The following multi-purpose calculator is taken from our Structural Analysis Software and is free to use. It is not just a moment of inertia calculator, but also:

  • Calculate the Moment of Inertia (I) of a beam section (Second Moment of Area)
  • Centroid Calculator used to calculate the Centroid (C) in the X and Y axis of a beam section
  • Calculate the First moment of area (Statical Moment of Inertia) (Q) of a beam section (First Moment of Area)
  • A Section Modulus Calculator to calculate the Section Modulus (Z) of a beam section
  • Calculate the Torsion Constant (J) of a beam section

The Beam Section Calculator is able to find the moment of inertia for a rectangle, circle, hollow rectangular section (HSS), hollow circular section, triangle, I-Beam, T-Beam, L-Sections (angles) and channel sections. SkyCiv also offers other tools such as I beam size tool and free design check software. The dynamic section drawer will also show you a graphical representation of your beam section. So if you want to calculate the moment of inertia of a circle, moment of inertia of a rectangle or any other shapes, feel free to use the below software or our all inclusive SkyCiv Section Builder.

To start using the free centroid calculator to calculate moment of inertia, simply choose the cross section you want to evaluate from the drop down lost, then enter in the dimensions and click Calculate. The results for centroid, moment of inertia, statical moment section modulus and torsion constant will display on your right.



Notation Value Unit
A - -
Iz - -
Iy - -
Izp - -
Iyp - -
αp - -
Cz - -
Cy - -
Qz - -
Qy - -
Zz - -
Zy - -
J - -

Need more Functionality?

SkyCiv Section Builder is a fully-featured cross section analysis tool that can analyze any cross section you come across. This fully-online software uses powerful Finite Element Analysis to calculate all the above results, plus more. For instance, Torsion Radius and Warping Constant can only be accurately calculated using powerful FEA software.

As well as this, the software can handle any custom shape from points or lines for complex shapes. The software can also import DXF files from CAD to analyze any section that comes across your desk.

More Free Tools Available

Here at SkyCiv, we continue to deliver valuable tools and resources that will aid in the work of structural engineers. We have a long list of other free and easy to use tools for you to check out. Check out our free design section reference for obtaining the geometric properties of standard steel or aluminum sections. Check out our free beam design module for analysis of simply-supported beams. You can also check out our free truss calculator for quick analysis of 2D trusses. For small 2D frames, you can check out our free structural frame calculator.

  • Fazli Azizi

    what if the y-axis acting downwards and z-axis acting to the left ? is there any changes in izz and iyy values ? or izz will become iyy and vice versa ?

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