COSMOS Chapter 9 Solution 52 | Answer Key - Edubirdie

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

2020
Views:

67

Pages:

1
Author:

Apolenajz

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 52. A = 3780 mm 2 Channel: I x = 32.6 × 106 mm 4 I y = 1.14 × 106 mm 4 ( )C + ( I x )plate Ix = 2 Ix Now ( ) = 2 32.6 × 106 mm 4 + ( d ( 300 mm )3 12 ) = 65.2 × 106 + 2.25d × 106 mm 4 And ( )channel + ( I y )plate Iy = 2 Iy 2 3  d   ( 300 mm ) d = 2 1.14 × 106 mm 4 + 3780 mm 2  + 15.3 mm   + 12 2    ( ) ( ) =  2.28 × 106 + 1890d 2 + 115.668 × 103 d + 1.7697 × 106 + 25d 3  mm 4   ( = 25d 3 + 1890d 2 + 115.67 × 10 d + 4.0497 × 10 I x = 16I y Given Then ) mm 65.2 × 106 + 2.25d × 106 ( = 16 25d 3 + 1890d 2 + 115.67 × 10 d + 4.0497 × 10 or Solving numerically ) 25d 3 + 1890d 2 − 24955d − 25300 = 0 d = 12.2935 mm or d = 12.29 mm

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