moment of inertia about the centroidal x- and the centroidal y-axes for the shape

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Calculate the moment of inertia about the centroidal x- and the centroidal y-axes for the shape shown below.

PL 10 x1
(2) C 10 x 30
Transcribed Image Text:PL 10 x1 (2) C 10 x 30
X-x
C Shapes
Dimensions
PNA
Web
Flange
Distance
Area, Depth,
A
Work-
able
Gage
in.
15 0.716 116 %8 3.72 34 0.650 5/ 1/16 12a 24
4 3.52 32 0.650 5/8 1/16 128 2
15 0.400 % | 16 3.40 3/ 0.650 58 1/16 12e 2
h.
Thickness, t
tw
Width,
Thickness,
Shape
2
br
in.
in.
in.
in.
in.?
C15x50 14.7 15.0
x40 11.8 15.0 15 0.520 V2
x33.9 10.0 15.0
in.
in.
1.17 14.4
1.15 14.4
1.13 14.4
in.
in.
in.
V4 3.17 38 0.501 V2 18
3/16 3.05 3
94 149 1.01 11.5
94 149 1.00 11.5
94 1/49 0.983 11.5
C12x30
8.81 12.0
7.34 12.0
X20.7 6.08 12.0
12 0.510 2
12 0.387 38
12 0.282 5/16 | 16 2.94
0.501 2 18
0.501 2 1
x25
10 0.673 1/16 %8 3.03
10 0.526 2
0.436 16 1
4 2.89| 2/s 0.436 /16 1
1/49 0.925 9.56
8
140 0.911 9.56
C10x30
8.81 10.0
7.34 10.0
x25
8
Transcribed Image Text:X-x C Shapes Dimensions PNA Web Flange Distance Area, Depth, A Work- able Gage in. 15 0.716 116 %8 3.72 34 0.650 5/ 1/16 12a 24 4 3.52 32 0.650 5/8 1/16 128 2 15 0.400 % | 16 3.40 3/ 0.650 58 1/16 12e 2 h. Thickness, t tw Width, Thickness, Shape 2 br in. in. in. in. in.? C15x50 14.7 15.0 x40 11.8 15.0 15 0.520 V2 x33.9 10.0 15.0 in. in. 1.17 14.4 1.15 14.4 1.13 14.4 in. in. in. V4 3.17 38 0.501 V2 18 3/16 3.05 3 94 149 1.01 11.5 94 149 1.00 11.5 94 1/49 0.983 11.5 C12x30 8.81 12.0 7.34 12.0 X20.7 6.08 12.0 12 0.510 2 12 0.387 38 12 0.282 5/16 | 16 2.94 0.501 2 18 0.501 2 1 x25 10 0.673 1/16 %8 3.03 10 0.526 2 0.436 16 1 4 2.89| 2/s 0.436 /16 1 1/49 0.925 9.56 8 140 0.911 9.56 C10x30 8.81 10.0 7.34 10.0 x25 8
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