Question 2: Locate the X-X and Y-Y centroidal axes for the built-up structural steel areas shown. W12 x 40 W14 X 4N TABLE AI U.S. Customary units (Continued Deigton An n n sin WI4I 147 OS 147 10 200 234 548 745 35 W14 100 300 143 146 173 447 3.73 265 14.0 145 0.71 143 37 218 142 101 112 266 2 179 139 100 640 215 245 141 138 030 8.03 702 784 SLA 19 W4 34 100 140 6.75 340 SA 546 23.3 W1430 138 673 29 420 573 473 196 W14 22 137 0230 290 554 332 282 12.7 122 147 270 444 100 21.1 123 120 531 196 324 304 W12 170 122 100 475 78.0 528 214 2.51 146 122 4 20 642 719 139 119 441 110 194 W1230 123 0.20 652 044 521 431 203 624 1 wi222 123 4.00 254 491 293 231 471 120 3.99 467 201 141 a 309 I14 104 125 14 236 4532 199 104 75.7 4.44 264 20 wi0 54 10.1 100 437 206 2.56 133 10.1 8.00 248 432 549 s34 13.3 2.01 9.71 7.96 419 194 WI0 22 102 0240 5.75 118 232 26 114 w012 354 947 3.96 021 39 126 w40 117 146 255 353 122 204 800 10 275 347 304 371 927 200 we24 7.90 0245 6.5 209 342 231 0230 40 991 321 I14 273 W25 000 6.08 s34 16.7 2.7 171 152 W12 40 221 249 290 150 08 4.06 034 113 6.28 190 L00

Steel Design (Activate Learning with these NEW titles from Engineering!)
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Chapter4: Compression Members
Section: Chapter Questions
Problem 4.9.9P
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w12 x 16
Question 2:
Locate the X-X and Y-Y centroidal axes for the built-up structural steel areas shown.
W12 × 40
W14 x 48
TABLE A. 1
U.S. Customary units (Continued)
Designation
A in.2
d in.
t, in.
by in.
t in.
I, in.
S, in.
Z, in.
I, in."
S, in.
, in.
in.
W14 x 132
38.8
14.7
0.645
14.7
1.03
1530
209
6.28
234
548
74.5
3.76
W14 x 109
32.0
14.3
0.525
14.6
0.86
1240
173
6.22
192
447
61.2
3.73
W14 x 90
26.5
14.0
0.440
14.5
0.71
999
143
6.14
157
362
49.9
3.7
W14 x 74
21.8
14.2
0.450
10.1
0.785
795
112
6.04
126
134
26.6
2.48
W14 x 61
17.9
13.9
0.375
10.0
0.645
640
92.1
5.98
102
107
21.5
2.45
W14 x 48
14.1
0.340
8.03
0.595
484
70.2
5.85
78.4
51.4
12.8
1.91
W14 x 34
10.0
14.0
0.285
6.75
0.455
340
5.83
54.6
23.3
6.91
1.53
W14 x 30
8.85
13.8
0.270
6.73
0.385
42.0
5.73
47.3
19.6
5.82
1.49
W14 x 22
6.49
13.7
0.230
5.0
0.335
199
29.0
5.54
33.2
7.0
2.8
1.04
W12 x 96
28.2
12.7
0.550
12.2
0.9
833
131
5.44
147
270
44.4
3.09
W12 x 72
21.1
12.3
0.430
12.0
0.67
597
97.4
5.31
108
195
32.4
3.04
W12 x 58
x FO
W12 x 50
W12 x 40
0.360
0 370
17.0
12.2
10.0
0.64
A76
475
78.0
5.28
86.4
107
21.4
2.51
14.6
12.2
0.370
8.08
0.64
391
64.2
5.18
71.9
56.3
139
1.96
11.7
11.9
0.295
8.01
0.515
307
51.5
5.13
57.0
44.1
11.0
1.94
w12 x 30
8.79
0.260
6 52
123
0.44
238
38.6
521
43.1
20.3
6.24
1.52
W12 x 22
6.48
12.3
0.260
4.03
0.425
156
25.4
4.91
29.3
4.66
2.31
0.848
4.71
0.220
3.99
0.265
103
17.1
4.67
20.1
2.82
1.41
0.773
w10 x 112
32.9
0.755
10.4
1.25
716
126
4.66
236
45.3
2.68
W10 x 68
wi0 x 54
w10 x 45
19.9
0.470
10.1
0.77
75.7
4.44
85.3
134
26.4
2.59
15.8
0.370
0.615
60.0
66.6
103
2.56
0.350
0.62
49.1
54.9
53.4
2.01
wi0 x 33
W10 x 22
w10 x 12
9.71
9.73
0.290
7.96
0.435
4.19
38.8
36.6
1.94
6.49
0.240
5.75
0.36
118
23.2
4.27
11.4
3.97
1.33
3.54
9.87
0.190
3.96
0.21
53.8
10.9
3.9
12.6
2.18
1.1
0.785
11.7
8.25
0.360
8.07
0.56
146
35.5
3.53
39.8
49.1
12.2
2.04
9.13
8.00
0.285
8.0
0.435
110
27.5
3.47
30.4
37.1
9.27
2.02
7.08
7.93
0.245
6.5
0.4
82.7
20.9
3.42
23.1
18.3
5.63
1,61
W8 x 13
W6 x 25
W6 x 12
3.84
7.99
0.230
0.255
40
39.6
9.91
3.21
11.4
2.73
1.37
0.843
7.34
6.38
0.320
6.08
0.455
53.4
16.7
2.7
18.9
17.1
5.61
1.52
3.55
6.03
0.230
4.0
0.28
22.1
7.31
2.49
8.3
2.99
1.50
0.918
W4 x 13
3.83
4.16
0.280
4.06 0.345
11.3
5.46
1.72
6.28
3.86
1.90
1.00
Transcribed Image Text:w12 x 16 Question 2: Locate the X-X and Y-Y centroidal axes for the built-up structural steel areas shown. W12 × 40 W14 x 48 TABLE A. 1 U.S. Customary units (Continued) Designation A in.2 d in. t, in. by in. t in. I, in. S, in. Z, in. I, in." S, in. , in. in. W14 x 132 38.8 14.7 0.645 14.7 1.03 1530 209 6.28 234 548 74.5 3.76 W14 x 109 32.0 14.3 0.525 14.6 0.86 1240 173 6.22 192 447 61.2 3.73 W14 x 90 26.5 14.0 0.440 14.5 0.71 999 143 6.14 157 362 49.9 3.7 W14 x 74 21.8 14.2 0.450 10.1 0.785 795 112 6.04 126 134 26.6 2.48 W14 x 61 17.9 13.9 0.375 10.0 0.645 640 92.1 5.98 102 107 21.5 2.45 W14 x 48 14.1 0.340 8.03 0.595 484 70.2 5.85 78.4 51.4 12.8 1.91 W14 x 34 10.0 14.0 0.285 6.75 0.455 340 5.83 54.6 23.3 6.91 1.53 W14 x 30 8.85 13.8 0.270 6.73 0.385 42.0 5.73 47.3 19.6 5.82 1.49 W14 x 22 6.49 13.7 0.230 5.0 0.335 199 29.0 5.54 33.2 7.0 2.8 1.04 W12 x 96 28.2 12.7 0.550 12.2 0.9 833 131 5.44 147 270 44.4 3.09 W12 x 72 21.1 12.3 0.430 12.0 0.67 597 97.4 5.31 108 195 32.4 3.04 W12 x 58 x FO W12 x 50 W12 x 40 0.360 0 370 17.0 12.2 10.0 0.64 A76 475 78.0 5.28 86.4 107 21.4 2.51 14.6 12.2 0.370 8.08 0.64 391 64.2 5.18 71.9 56.3 139 1.96 11.7 11.9 0.295 8.01 0.515 307 51.5 5.13 57.0 44.1 11.0 1.94 w12 x 30 8.79 0.260 6 52 123 0.44 238 38.6 521 43.1 20.3 6.24 1.52 W12 x 22 6.48 12.3 0.260 4.03 0.425 156 25.4 4.91 29.3 4.66 2.31 0.848 4.71 0.220 3.99 0.265 103 17.1 4.67 20.1 2.82 1.41 0.773 w10 x 112 32.9 0.755 10.4 1.25 716 126 4.66 236 45.3 2.68 W10 x 68 wi0 x 54 w10 x 45 19.9 0.470 10.1 0.77 75.7 4.44 85.3 134 26.4 2.59 15.8 0.370 0.615 60.0 66.6 103 2.56 0.350 0.62 49.1 54.9 53.4 2.01 wi0 x 33 W10 x 22 w10 x 12 9.71 9.73 0.290 7.96 0.435 4.19 38.8 36.6 1.94 6.49 0.240 5.75 0.36 118 23.2 4.27 11.4 3.97 1.33 3.54 9.87 0.190 3.96 0.21 53.8 10.9 3.9 12.6 2.18 1.1 0.785 11.7 8.25 0.360 8.07 0.56 146 35.5 3.53 39.8 49.1 12.2 2.04 9.13 8.00 0.285 8.0 0.435 110 27.5 3.47 30.4 37.1 9.27 2.02 7.08 7.93 0.245 6.5 0.4 82.7 20.9 3.42 23.1 18.3 5.63 1,61 W8 x 13 W6 x 25 W6 x 12 3.84 7.99 0.230 0.255 40 39.6 9.91 3.21 11.4 2.73 1.37 0.843 7.34 6.38 0.320 6.08 0.455 53.4 16.7 2.7 18.9 17.1 5.61 1.52 3.55 6.03 0.230 4.0 0.28 22.1 7.31 2.49 8.3 2.99 1.50 0.918 W4 x 13 3.83 4.16 0.280 4.06 0.345 11.3 5.46 1.72 6.28 3.86 1.90 1.00
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