Compute the area moment of inertia, Physics

Use the numerical integration scheme discussed in class to compute the area moment of inertia 1142_Compute the area moment of inertia1.png 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.

1778_Compute the area moment of inertia.png

 

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.

Posted Date: 2/18/2013 12:49:02 AM | Location : United States







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