As discussed on the previous pages, the area and mass moments of inertia are dependent upon the chosen axis of rotation. This method is known as the method of composite parts.Ī key part to this process that was not present in centroid calculations is the adjustment for position.
In this method we will break down a complex shape into simple parts, look up the moments of inertia for these parts in a table, adjust the moments of inertia for position, and finally add the adjusted values together to find the overall moment of inertia. Method of Composite Parts for Moments of Inertia and the Parallel Axis TheoremĪs an alternative to integration, both area and mass moments of inertia can be calculated via the method of composite parts, similar to what we did with centroids.
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