-9 in.- T C ㅑ 6.77 in. 314 in. 14.1 in. The strength of a W14x38 rolled-steel beam is increased by attaching a 9x3/4 in plate to its upper flange as shown. Determine the moment of inertia of the composite section with respect to an axis which is parallel to the plate and passes through the centroid C of the composite section. Please refer to the table below for Wide-flange properties.
-9 in.- T C ㅑ 6.77 in. 314 in. 14.1 in. The strength of a W14x38 rolled-steel beam is increased by attaching a 9x3/4 in plate to its upper flange as shown. Determine the moment of inertia of the composite section with respect to an axis which is parallel to the plate and passes through the centroid C of the composite section. Please refer to the table below for Wide-flange properties.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:-9 in.-
T
C
ㅑ
6.77 in.
314
in.
14.1 in.
The strength of a W14x38 rolled-steel beam is increased by attaching a 9x3/4 in plate to its upper flange as shown.
Determine the moment of inertia of the composite section with respect to an axis which is parallel to the plate and
passes through the centroid C of the composite section.
Please refer to the table below for Wide-flange properties.
Transcribed Image Text:APPENDIX B Properties of Rolled-Steel Shapes
(U.S. Customary Units)
W Shapes
(Wide-Flange Shapes)
Designationt
W:36 X 302
135
W33 X 201
118
W30 x 173
99
145 410 68 10m 包 106 05 0 15 0 15 265534 35 38 38 322
W27 X 146
84
W24 X 104
W21 x 101
62
44
WIS X 106
76
35
W16 X 77
57
40
31
26
W14 X 370
82
68
38
30
26
Area
A, in²
88.8
39.7
59.2
34.7
51.0
29.1
43.1
24.8
Depth
d, in.
37.3
35.6
31.1
22.3
30.6 24.1
22.6
16.8
11.8.
9.13
7.68
20.1 23.7
109
33.7
15.7
32.9 11.5
27.4
26.70
29.8 21.4
18.3
21.0
13.0
20.7
18.7
18.2
14.7 18.0
10.3
17.7
30.4
15.0
29.7 10.50
16.5
16.4
16.0
15.9
15.7
17.9
14.8
42.7
24.0
14.3
20.0
14.0
15.6 13.9
12.6 13.7
Thick-
Width
ness
b, in. tin.
16.7
12.0
11.2 14.1
8.85 13.8
7.69 13.9
6.49 13.7
14.0
10.0
12.8
8.97
12.3
Flange
8.24
6.50
11.2
11.0
7.50
6.00
10.3
7.12
7.00
5.53
5.50
16,5
15.5
10.1
10.0
8.06
8.00
6.77
6.73
5.03
5.00
1.68
0.790
1.15
0.740
1.07
0.670
0.975
0.640
0.750
0.585
Web
Thick-
ness
tin.
rin
0.945 21100
0.600
7800
0.715
0.550
0.655
0.520
0.605
0.460
0.500
0.415
0.800 0.500
0.615
0.400
0.450
0.350
0.940
0.590
0.680
0.425
0.570 0.355
0.425
0.300
0.76
0.455
0.715
0.430
0.505 0.305
0.440
0.275
0.345
0.250
2.66
1.66
1.09 0.680
0.855 0.510
0.720
0.660
0.530
0.415
0.370
0.305
0.515
0.310
0.385 0.270
0.420 0.255
0.335 0.230
11600 686
5900 359
8230
3990
3660
2850
3100
1830
2420
1330
843
1910
1330
800
510
1110
758
518
375
301
Axis X-X
S, in³
1130
439
881
722
541
428
385
291
245
199
541
269
414
213
258
154
227
127
81.6
204
146
134
5440
607
1710 232
123
103
14.0
13.0
77.8
62.6
Axis Y-Y
rin. in S. in³
15.4
1300
14.0
225
12.7
11.7
7.84
7.73
$8.9 7.38
57.6 7.04
11.3
10.7
10.1
9.55
7.00
92.2
6.72
64.7 6.63
47.2
6.41
38.4
6.26
9.02
8.54
8.06
7.07
6.33
6.05
6.01
5.89
5.82
IT
54.6 5.87
42.0
5.73
35.3 5.65
29.0 5.54
749
187
598
128
443
106
220
152
40.1
15.3
X-
259
40.7
70.4 13.7
9.59
1990
677
248
40.3
57.5 14.0
20.7
6.37
156
148
121
37.7
95.2
32.6
8.91
7.00
A wide-flange shape is designated by the letter W followed by the nominal depth in inches and the weight in pounds per foot.
79.8
24.5
63.5
21.2
138
26.9
43.1 12.1
28.9
12.4
39.4
27.6
10.7
5.12
87.3
29.3
24.2
57.7 14.3
45.2 11.3
26.7
19,6
8.25
4.49
3.49
241
·X
Fyr in.
3.82
2.38
3.56
2.32
3.42
2.10
3.20
2.07
2.91
1.87
2.89
1.77
1.26
2.66
2.61
1.65
1.22
2.47
1.60
1.57
1.17
1.12
4.27
3.98
2.48
2.46
1.92
1.89
1.35
1.49
7.88
5.82
3.55 1.08
2.80 1.04
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