Problem

For each of the shapes in Figure, determine the location of the horizontal centroidal axis...

For each of the shapes in Figure, determine the location of the horizontal centroidal axis and the magnitude of the moment of inertia of the shape with respect to that axis using the parallel axis theorem.

The method can be applied to compute the moment of inertia for those shapes consisting of two or more rectangular parts whose sides are perpendicular and parallel to the horizontal axis. Included are the shapes and the composite shapes made from standard wood beam shapes.

Figure is composite beam sections fabricated from standard steel or aluminum structural shapes.

FIGURE

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