The centroid of a symmetric cross section can be easily found by inspection. X and Y axes intersect at the centroid of a symmetric cross section, as shown on the rectangular cross section.cross section, as shown on the rectangular cross section. Y - Axis Centroid h/2 h/2 X - Axis b/2 b/2

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2.1.2.9 Centroid, Moments of Inertia, Modulus of Elasticity – Review Package All dimensions in inches. Show formulas for Area calculations. Specify proper units in table and your answer. Calculate the Centroid of the complex shape by completing the table below. We can calculate the moment of inertia (I) for simple shapes using formulas from tables. For complex shapes, I can be calculating by evaluating the double integral. Also, we can calculate I of a shape made up of "n" simple shapes using the formula: ∑ ( ) = = + n I i Ii Ai di 1 2 Figure 5.

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