MomentofInertia_Composite_Shapes

MomentofInertia_Composite_Shapes - ( ) + = 2 ' x y y Ad I I...

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Procedure for finding Moments of Inertia for composite shapes 1. Break composite shape up into simple shapes. 2. Calculate the area of each simple shape. 3. Calculate ' x I and ' y I for each simple shape. 4. Determine what will be the x-axis and y-axis about which the moments of inertia will be calculated for this composite shape. (These axes are generally given in the problem, or will be axes passing through the centroid for the composite shape.) 5. For each simple shape, determine d x and d y . 6. For each simple shape, apply the parallel axis theorem, 2 ' y x x Ad I I + = 2 ' x y y Ad I I + = 7. For the Composite shape, ( ) + = 2 ' y x x Ad I I ( ) + = 2 ' x y y Ad I I Note: a table would be helpful Shape A (units) ' x I (units) y d (units) 2 y d (units) 2 y Ad (units) 2 ' y x x Ad I I + = (units) S h a p e I S h a p e I I Shape III ( ) + = 2 ' y x x Ad I I ' y I (units) x d (units) 2 x d (units) 2 x Ad (units) 2 ' x y y Ad I I + = (units)
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Unformatted text preview: ( ) + = 2 ' x y y Ad I I Where, x is a x-axis passing through the centroid of the area. y is a y-axis passing through the centroid of the area. x is any x-axis, not necessarily passing through the centroid of the area. y is any y-axis, not necessarily passing through the centroid of the area. d y is the distance between the x-axis and the x-axis. d x is the distance between the y-axis and the y-axis. . ' x I is the moment of inertia about the x-axis, which passes thru the centroid if the area. ' y I is the moment of inertia about the y-axis, which passes thru the centroid if the area. I y is the moment of inertia about the x-axis I x is the moment of inertia about the y-axis...
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This note was uploaded on 07/21/2011 for the course EML 3011C taught by Professor Hruda during the Spring '11 term at University of Florida.

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