University:
Michigan State University
Course:
ERG 160 | Success in Science, Technology, Engineering, and Mathematics
Academic year:

2021
Views:

468

Pages:

1
Author:

hekeldigzjbz

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 103. From the solution to Problem 9.71 I xy = 300 × 103 mm 4 Now I x = ( I x )1 − ( I x )2 − ( I x )3 3 3 2 1 1 =  (120 mm )( 80 mm )  − 2  ( 50 mm )( 20 mm ) + 1000 mm 2 (10 mm )  12 12     ( ( ) ) = 5.120 × 106 − 2 33.333 × 103 + 100 × 103  mm 4   = 4.8533 × 106 mm 4 and ( )1 − ( I y )2 − ( I y )3 Iy = Iy 3 3 2 1 1 =  ( 80 mm )(120 mm )  − 2  ( 20 mm )( 50 mm ) + 1000 mm 2 (15 mm )  12  12  ( ( ) ) = 11.520 × 106 − 2 208.33 × 103 + 225 × 103  mm 4   = 10.6533 × 106 mm 4 ( x I x , I xy ) ( y I y , − I xy Center: ) 1 Ix + I y 2 1 = ( 4.8533 + 10.6533) × 106 mm 4 2 I ave = ( ) = 7.7533 × 106 mm 4 2 Radius:  Ix − I y  + I xy2 R=   2    2 2 1  = 106  ( 4.8533 − 10.6533)  + ( 0.300 ) mm 2  = 2.9155 × 106 mm continued

COSMOS Chapter 9 Solution 103

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