TWO L76X51X6.4-MM ANGLES ARE WELDED TO A C250X22.8 CHANNEL (THE SHORTER SIDE OF THE ANGLE IS ATTACHED TO THE WEB OF THE CHANNEL). DETERMINE THE MOMENTS OF INERTIA AND RADII OF GYRATION OF THE COMBINED SECTION WITH RESPECT TO CENTROIDAL AXES RESPECTIVELY PARALLEL AND PERPENDICULAR TO THE WEB OF THE CHANNEL.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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TWO L76X51X6.4-MM ANGLES ARE WELDED TO A C250X22.8 CHANNEL (THE SHORTER SIDE OF THE ANGLE IS ATTACHED TO THE
WEB OF THE CHANNEL). DETERMINE THE MOMENTS OF INERTIA AND RADII OF GYRATION OF THE COMBINED SECTION WITH RESPECT
TO CENTROIDAL AXES RESPECTIVELY PARALLEL AND PERPENDICULAR TO THE WEB OF THE CHANNEL.
L76X51X6.4
C250X22.8
Transcribed Image Text:TWO L76X51X6.4-MM ANGLES ARE WELDED TO A C250X22.8 CHANNEL (THE SHORTER SIDE OF THE ANGLE IS ATTACHED TO THE WEB OF THE CHANNEL). DETERMINE THE MOMENTS OF INERTIA AND RADII OF GYRATION OF THE COMBINED SECTION WITH RESPECT TO CENTROIDAL AXES RESPECTIVELY PARALLEL AND PERPENDICULAR TO THE WEB OF THE CHANNEL. L76X51X6.4 C250X22.8
Axis X-X
Axis Y-Y
Depth Widh
y
10 mm
Area
Designation
10 mm
mm
mm
mm
mm
mm
W460 x 1131
W410 x 5
14 400
10 S00
462
417
279
181
554
316
196
171
63.3
17.9
66.3
w Shapes
Wile-Flange
Shapes)
40.6
W360 x 578
-X w200 x 46.1
7230
358
203
172
203
160
45.8
149
11.1
15.4
39.4
51.3
S8.1
SI60 x S1.4
10 300
457
152
333
180
S.62
29.0
s Shupes
(American Standard
S310 x 47.3
S250 x 37.8
6010
4810
305
254
127
118
25.4
24.1
90.3
123
103
622
51.2
2.50
Shapes)
S150 x 18.6
2360
152
84.6
9.16
0.749
17.8
202
0.945 18.1
C310 x 30.st
3120
2890
161
305
254
74.7
66.0
53.7
117
95.3
17.7
16.1
C Slapes
(American Standard
Channels)
25.0
C250 x 22.8
C200 x 17.1
C150 x 12.2
2170
203
57.4
13.5
79.0
0.545
026
15.8
14.5
15a0
152
48.8
5.45
50.4
13.6
13.0
L152 x 152 x 25.4 7100
LI02 x 102 x 12.7
L76 x 76 x6.4
L152 x 102 x 12.7 3060
L127 x 76 x 12.7
L76 x 51 x6.4
14.7
2.30
45.5
30.7
47.2
30.0
14.7
2.30
45.5
30.7
47.2
30.0
2420
929
0.512
23.5
21.2
0.512 235
21.2
7.20
3.93
0.454
48.5
40.1
50.3
2.59
1.06
29.0
20.9
24.9
18.9
Angles
2420
442
24.9
768
24.2
0.162
14.5
12.4
Transcribed Image Text:Axis X-X Axis Y-Y Depth Widh y 10 mm Area Designation 10 mm mm mm mm mm mm W460 x 1131 W410 x 5 14 400 10 S00 462 417 279 181 554 316 196 171 63.3 17.9 66.3 w Shapes Wile-Flange Shapes) 40.6 W360 x 578 -X w200 x 46.1 7230 358 203 172 203 160 45.8 149 11.1 15.4 39.4 51.3 S8.1 SI60 x S1.4 10 300 457 152 333 180 S.62 29.0 s Shupes (American Standard S310 x 47.3 S250 x 37.8 6010 4810 305 254 127 118 25.4 24.1 90.3 123 103 622 51.2 2.50 Shapes) S150 x 18.6 2360 152 84.6 9.16 0.749 17.8 202 0.945 18.1 C310 x 30.st 3120 2890 161 305 254 74.7 66.0 53.7 117 95.3 17.7 16.1 C Slapes (American Standard Channels) 25.0 C250 x 22.8 C200 x 17.1 C150 x 12.2 2170 203 57.4 13.5 79.0 0.545 026 15.8 14.5 15a0 152 48.8 5.45 50.4 13.6 13.0 L152 x 152 x 25.4 7100 LI02 x 102 x 12.7 L76 x 76 x6.4 L152 x 102 x 12.7 3060 L127 x 76 x 12.7 L76 x 51 x6.4 14.7 2.30 45.5 30.7 47.2 30.0 14.7 2.30 45.5 30.7 47.2 30.0 2420 929 0.512 23.5 21.2 0.512 235 21.2 7.20 3.93 0.454 48.5 40.1 50.3 2.59 1.06 29.0 20.9 24.9 18.9 Angles 2420 442 24.9 768 24.2 0.162 14.5 12.4
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