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 andpasses through the centroid C of the composite section.Please refer to the table below for Wide-flange properties. APPENDIX B Properties of Rolled-Steel Shapes(U.S. Customary Units)W Shapes(Wide-Flange Shapes)DesignationW36 X 302135W33 X 201118W30 x 173999782885958928892288W27 X 14684W24 X 10468W21 x 1016244WI8 X 10676W16 X 773126W14 X 370145685343383026AreaA, in²88.8 37.339.735.651.029.159.2 33.734.743.124.830.620.131.122.314.710.322.616.811.8.Depthd, in.9.137.6810929.821.418.321.013.0 20.742.724.020.015.612.611.215.732.9 11.530.429.727.426.7024.123.718.718.218.017.716.516.416.015.915.717.914.814.314.0Widthb, in..16.712.015.010,5014.010.012.88.9712.38.246.5011.211.0Flange7.506.0010.37.127.005.535.5016.515.510.110.08.068.00Thick-nesstin.1.680.7901.150.7401.070.6700.9750.6400.8000.6150.450WebThick-nessin0.945 211000.60078000.760.7150.5050.4400.3450.7150.5500.6550.5200.7500.5000.585 0.4150.6050.4600.5000.4000.3500.940 0.5900.680 0.4250.570 0.3550.4250.3000.4550.4300.3050.2750.2502.661.661.09 0.6800.855 0.5100.7200.4150.6600.3700.530 0.30511600 68659003598230399036602850Axis X-XS, in³ rin.113015.443914.0191013308005103100 25818301110758518375301541 12.726911.72420 227133012784341411.3213 10.724519910.1154 9.5581.620414614.013.05440 6071710 2328817225414283852917.847.7388.97.3857.6 7.041347.0092.2 6.7264.76.6347.26.4138.46.2612310377.862.654.642.09.028.548.06F6.056.015.895.82in130022574918759812844310625970.424857,520.722015240.115.313813.913.714.16.77 0.5150.3105.878.8513.86.730.3850.2705.737.6913.95.030.420 0.25535.35.656.4913.75.000.335 0.23029.0 5.54A wide-flange shape is designated by the letter W followed by the nominal depth in inches and the weight in pounds per foot.7.07 19906.336771481219.5957.745.2X26.719.6Axis Y-YS. in³1568.917.0037.795.232.679.824.540.715.740.314.06.3763.53.2021.2 2.075.1226.9 2.4743.112.11.6028.9 8.251.5712.44.491.173.491.12·X241Tye in.3.822.3887.329.324.23.562.3214.311.33.422.1039.42.6627.6 2.6110.71.651.222.911.872.891.771.264.273.982.482.461.921.897.881.555.82 1.493.552.801.081.04 –9 in.-C6.77 in.3/in.14.1 in.

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Answered: The strength of a W14x38 rolled-steel…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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.

APPENDIX B Properties of Rolled-Steel Shapes
(U.S. Customary Units)
W Shapes
(Wide-Flange Shapes)
Designation
W36 X 302
135
W33 X 201
118
W30 x 173
99
9782885958928892288
W27 X 146
84
W24 X 104
68
W21 x 101
62
44
WI8 X 106
76
W16 X 77
31
26
W14 X 370
145
68
53
43
38
30
26
Area
A, in²
88.8 37.3
39.7
35.6
51.0
29.1
59.2 33.7
34.7
43.1
24.8
30.6
20.1
31.1
22.3
14.7
10.3
22.6
16.8
11.8.
Depth
d, in.
9.13
7.68
109
29.8
21.4
18.3
21.0
13.0 20.7
42.7
24.0
20.0
15.6
12.6
11.2
15.7
32.9 11.5
30.4
29.7
27.4
26.70
24.1
23.7
18.7
18.2
18.0
17.7
16.5
16.4
16.0
15.9
15.7
17.9
14.8
14.3
14.0
Width
b, in..
16.7
12.0
15.0
10,50
14.0
10.0
12.8
8.97
12.3
8.24
6.50
11.2
11.0
Flange
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
Thick-
ness
tin.
1.68
0.790
1.15
0.740
1.07
0.670
0.975
0.640
0.800
0.615
0.450
Web
Thick-
ness
in
0.945 21100
0.600
7800
0.76
0.715
0.505
0.440
0.345
0.715
0.550
0.655
0.520
0.750
0.500
0.585 0.415
0.605
0.460
0.500
0.400
0.350
0.940 0.590
0.680 0.425
0.570 0.355
0.425
0.300
0.455
0.430
0.305
0.275
0.250
2.66
1.66
1.09 0.680
0.855 0.510
0.720
0.415
0.660
0.370
0.530 0.305
11600 686
5900
359
8230
3990
3660
2850
Axis X-X
S, in³ rin.
1130
15.4
439
14.0
1910
1330
800
510
3100 258
1830
1110
758
518
375
301
541 12.7
269
11.7
2420 227
1330
127
843
414
11.3
213 10.7
245
199
10.1
154 9.55
81.6
204
146
14.0
13.0
5440 607
1710 232
881
722
541
428
385
291
7.84
7.73
88.9
7.38
57.6 7.04
134
7.00
92.2 6.72
64.7
6.63
47.2
6.41
38.4
6.26
123
103
77.8
62.6
54.6
42.0
9.02
8.54
8.06
F
6.05
6.01
5.89
5.82
in
1300
225
749
187
598
128
443
106
259
70.4
248
57,5
20.7
220
152
40.1
15.3
138
13.9
13.7
14.1
6.77 0.515
0.310
5.87
8.85
13.8
6.73
0.385
0.270
5.73
7.69
13.9
5.03
0.420 0.255
35.3
5.65
6.49
13.7
5.00
0.335 0.230
29.0 5.54
A wide-flange shape is designated by the letter W followed by the nominal depth in inches and the weight in pounds per foot.
7.07 1990
6.33
677
148
121
9.59
57.7
45.2
X
26.7
19.6
Axis Y-Y
S. in³
156
8.91
7.00
37.7
95.2
32.6
79.8
24.5
40.7
15.7
40.3
14.0
6.37
63.5
3.20
21.2 2.07
5.12
26.9 2.47
43.1
12.1
1.60
28.9 8.25
1.57
12.4
4.49
1.17
3.49
1.12
·X
241
Tye in.
3.82
2.38
87.3
29.3
24.2
3.56
2.32
14.3
11.3
3.42
2.10
39.4
2.66
27.6 2.61
10.7
1.65
1.22
2.91
1.87
2.89
1.77
1.26
4.27
3.98
2.48
2.46
1.92
1.89
7.88
1.55
5.82 1.49
3.55
2.80
1.08
1.04

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ISBN:

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KASSIMALI, Aslam.

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