COSMOS Chapter 9 Solution 193 | Answer Key - Edubirdie

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

2019
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378

Pages:

1
Author:

Kundulu8mbj

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 193. Angle: A = 1.44 in 2 I x = I y = 1.24 in 4 A = 5.88 in 2 Channel: I x = 2.81 in 4 I y = 78.9 in 4 Locate the centroid X =0 ( ) ( ) 2  1.44 in 2 ( 0.842 in.)  + 5.88 in 2 ( − 0.606 in.) ΣAy  =  Y = ΣA 2 1.44 in 2 + 5.88 in 2 = Now ( ( 2.42496 − 3.5638) in 3 8.765 in 4 ) = − 0.12995 in. ( I x ) = 2 ( I x )L + ( I x )C = 2 1.24 in 4 + (1.44 in 2 ) ( 0.842 in. + 0.12995 in.)2  ( ) 2 +  2.81 in 4 + 5.88 in 2 ( 0.606 in. − 0.12995 in.)    = 2 ( 2.6003) in 4 + 4.1425 in 4 = 9.3431 in 4 or I x = 9.34 in 4 Also ( I y ) = 2 ( I y )L + ( I y )C = 2 1.24 in 4 + 1.44 in 2 (5 in. − 0.842 in.)2  + 7.89 in 4 = 2 ( 26.136 ) in 4 + 78.9 in 4 = 131.17 in 4 or I y = 131.2 in 4

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