Moments of Inertia Quiz: Rectangles

The dimensions are 250 mm x 400 mm for Rectangle I, 300 mm x 400 mm for Rectangle II, and 100 mm x 600 mm for Rectangle III.

The area of Rectangle I is calculated using the formula: Area = length x width, which gives 250 mm x 400 mm = 100,000 mm².

The moment of inertia (I_x) about the centroidal x-axis is given by the formula: I_x = (b*h^3)/12, where b is the width and h is the height of the rectangle.

<p>Calculating moments of inertia about both axes is necessary because it provides comprehensive insight into the structural behavior of the beam under loading.</p> Signup and view all the answers

<p>The contributions of the areas of all rectangles (I, II, and III), their respective distances from the centroid, and the parallel axis theorem must be considered.</p> Signup and view all the answers