How Do You Calculate The Second Moment Of Inertia?
The second moment of inertia, or mass moment of inertia, is a mathematical representation of a beam’s resistance to bending. The value relies on the cross-sectional area and the location of the centroid. In general, it conveys the way in which the cross-sectional area is dispersed around a reference axis. You can calculate the second moment of inertia for some shapes with a simple summation, but shapes that are more complex require integration using the formulas in the graphic. Derive the equation for the second moment of inertia for the cross-section you are analyzing. In this example, the cross section is a vertical rectangle. Substitute actual lengths for the variables in the derived equation. h = 6 b = 4 I(xx) = (4*6^3)/12 Evaluate the equation to obtain the second moment of inertia for the cross section. I(xx) = (4*216)/12 = 72 Break the problem up to calculate the moments of inertia for each part if you are calculating the second moment of inertia for a complex section. Always us
