Solve for the: 1. Moment of inertia about x-axis (bottom-most) 2. Centroidal moment of inertia about x-axis Note: Unit are in mm. semi-circle equilateral triangle 1.5000 1.5000 10.0000 X- axis 6.0000

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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NOTE: solve using the formulas provided below.
Solve for the:
1. Moment of inertia about x-axis (bottom-most)
2. Centroidal moment of inertia about x-axis
Note: Unit are in mm.
semi-circle
equilateral
triangle
1.5000
1.5000
10.0000
X - axis
6.0000
Transcribed Image Text:Solve for the: 1. Moment of inertia about x-axis (bottom-most) 2. Centroidal moment of inertia about x-axis Note: Unit are in mm. semi-circle equilateral triangle 1.5000 1.5000 10.0000 X - axis 6.0000
reference line: anywhere (but parallel
to x-аxis)
Ix' =
*** just add the transfer formula
reference line: x-axis
reference line: centroid
Ix =
Icgx =
b
bh3/3
bh3/12
bh/12 + [Ad?]
h
х-аxis
bh3/12
bh3/36
bh3/36 + [Ad?]
h
X-аxis
X-аxis
*/4
Ar^/4 + [Ad°]
0.11A
0.11A + [Ad²]
X-аxis
Tr*/16
0.055
0.055r + [Ad]
х-аxis
Transcribed Image Text:reference line: anywhere (but parallel to x-аxis) Ix' = *** just add the transfer formula reference line: x-axis reference line: centroid Ix = Icgx = b bh3/3 bh3/12 bh/12 + [Ad?] h х-аxis bh3/12 bh3/36 bh3/36 + [Ad?] h X-аxis X-аxis */4 Ar^/4 + [Ad°] 0.11A 0.11A + [Ad²] X-аxis Tr*/16 0.055 0.055r + [Ad] х-аxis
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