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Welcome to our free Moment of Inertia Calculator. The calculator is easy to use and will calculate the moment of inertia of a beam’s section. Simply enter the dimensions of your section, and the properties of the section will be calculated for you. This includes the the section’s area, centroid or center of mass (in both X and Y direction) and the moments of inertia (or moments of area) Ixx and Iyy. The Section Modulus Zx and Zy will also be calculated. Typically for beams, the Ixx is the moment of inertia that is relevant. This is because the maximum moment and shear will occur at the top/bottom of the beam sections. For more information on moment of inertia, or to learn how to calculate the moment of inertia of a section, please visit our Tutorial pages. The calculator can be used for the following beam sections: I-beam sections, Recangular sections, Hollow Recangular sections, Circular sections, Hollow Circular Sections, Triangular Sections, T-beam sections and L-beam Sections. To begin, first select a unit which will be used throughout the calculator. Then simply add the dimensions of your beam and hit calculate!
If you notice any bugs or have any suggestions please mention them in the comments below. |
Bending Moment and Shear Force Diagram Calculator
The first free, easy to use customizable Bending Moment Diagram and Shear Force Diagram Calculator for simply supported Beams
How to find Moment of Inertia about the y-axis in above example….?
Maybe our tutorial will help you manually calculate it?
http://bendingmomentdiagram.com/tutorials/calculating-beam-section-moment-of-inertia/
Where are the x and y axes taken through? Are they through the centroid or are they through a corner of the image or something?
The xx and yy axes are the x and y-axes of the centroid respectively (taken from the bottom-left point of the section).
Hi,
Nice and easy to use. Small problem though, I input the width (b) of the hollow rectangle to the same value as the internal width (b1). It now resets to this value all of the time, ie the width of the beam is now fixed at 24mm.
Thank you,
Martin
Hey Martin,
I’m not entirely sure what you mean. However, you cannot make b and b1 the same size as if you did then there would be no beam section at all. Check the diagram and try again, as I have just checked it and it is all working fine.
Hope this helps
Sam
If I choose rectangular hollow beam, and input 5×5 outer dimensions with 4.5×4.5 inner dimensions and press calculate a value is displayed.
When I check on the values again, the width b has changed itself to equal the value of b1, 4.5 This seems like a big error. This happens regardless of the values I input for b and b1.
Formulas for C, Z, U or Sigma profiles used in steel structures, would be very useful, too. Thanks!
For the first moment Q, it’s giving an incorrect answer. For an outside diameter of 4.24in and an inside diameter of 3.65in it should be Q=(1/12)*[(4.24^(3)-3.65^(3)]=2.29982in^3. The calculator produces Q=3.06073in^3. The centroid, area and Iyy Ixx are correct.
Hey Tyler,
Thanks for the feedback. We have found the error; Sorry for the inconvenience. It should be fixed now!
Regards,
Sam