COSMOS: Complete Online Solutions Manual Organization System
Chapter 9, Solution 104.
From Prob. 9.43 and 9.77
I y = 4581.0 in 4
I x = 2703.7 in 4
Define Points:
x ( 2703.7, −1635.18 ) in 4 y ( 4581.0, 1635.18 ) in 4
Then
I ave =
I xy = −1635.18 in 4
1
1
I x + I y = ( 2703.7 + 4581.0 ) in 4 = 3642.4 in 4
2
2
(
)
2
2
Ix − I y
2
2703.7 − 4581.0
4
+ I xy2 =
R=
+ ( −1635.18 ) = 1885.44 in
2
2
tan 2θ m = −
2I xy
Ix − I y
=−
2 ( −1635.18 )
= −1.74206
2703.7 − 4581.0
θ m = − 30.1°
I max,min = I ave ± R = ( 3642.4 ± 1885.44 ) in 4
I max = 5530 in 4
I min = 1757 in 4
COSMOS Chapter 9 Solution 104
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