Use the numerical integration scheme discussed in class to compute the area moment of inertia of the circular section with a hole as shown below. For mapping, use 4-node elements of equal size over the section in the first quadrant. For numerical integration use the 2x2 point rule.
Note: No hand calculation! Inner radius = 3.0 cm
Outer radius = 8.0 cm
(a) Determine I using one element in the radial direction and 10 elements in the circumferential direction for the first quadrant. Compare with the exact I. (b) Determine I using one element in the radial direction and 20 elements in the circumferential direction for the first quadrant. Compare with the exact I.