The area moment of inertia Ixo of a rectangle about the axis x0 passing through its centroid is Ixo = 1/12 bh3. The moment of inertia about an axis x that is parallel to x0 is given by Ix = Ixo + Ad2x, where A is the area of the rectangle, and dx is the distance between the two axes.

Write a MATLAB user-defined function that determines the area moment of inertia Ixc of a "U" beam about the axis that passes through its centroid (see drawing). For the function name and arguments use Ixc = IxcT-Beam (w, h, t, d), where the input arguments w, h, t, and dare the dimensions shown in the figure and the output argument Ixc is Ixc. For finding the coordinate yc of the of the centroid, use the user-defined function centroidU from Problem 34 as a subfunction inside IxcUBeam.

(The moment of inertia of a composite area is obtained by dividing the area into parts and adding the moments of inertia of the parts.)

Use the function to determine the moment of inertia of a "U" beam w = 12 in., h = 8 in., d = 2 in., and t = 0.75 in.

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