COSMOS: Complete Online Solutions Manual Organization System
Chapter 9, Solution 31.
Area: A = 2 (10 mm )( 40 mm ) + ( 90 mm )(10 mm ) = 1700 mm 2
Part :
I x = I x + Ad 2 =
1
(10 mm )( 40 mm )3 + (10 mm )( 40 mm )( 25 mm )2
12
= 303.3 × 103 mm 4
1
( 90 mm )(10 mm )3 = 7.50 × 103 mm 4
12
Part :
Ix = Ix =
Part :
(Same as Part ) I x = 303.3 × 103 mm 4
Thus for entire area:
I x = ( 303.3 + 7.50 + 303.3) × 103 = 614.2 × 103 mm 4
I x = 614 × 103 mm 4
k x2 =
Ix
614.2 × 103 mm 4
=
= 361.27 mm 2
2
A
1700 mm
k x = 19.01 mm
COSMOS Chapter 9 Solution 31
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