The concept of a moment of inertia is important in many design and analysis problems encountered in Mechanical and Civil engineering. It is required in the design of machines, bridges, and other engineering systems. The computation of moments of inertia can often be cumbersome. In the general case, analytical integrals must be evaluated. In specific cases involving composite shapes, a large number of repetitive formulas and numbers must be manipulated. Maple is an ideal tool to perform both of these operations.