ABLI (Continued) F, = 50 ksi L, м, M, X, X, x1 Designation (in.) (m) (ft) (kip-ft) (kip-ft) (in.) b/2t, hlt (ksi) [(1/ksi W 10 x 88 113 W 21 x 50 110 W 16 x 57 W 18 x 50 9.30 45.1 471 328 2.63 5.18 13.0 5,680 13 4.60 12.5 5.66 16.6 458 315 1.3 6.10 49.4 1,730 22,60 4.98 33.0 2,650 105 438 307 1.6 3,40 101 5.83 15.6 421 296 1.65 6.57 45.2 1,920 12,40 4.45 1 20 209 16 60

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question

A W shape is to be used for a uniformly loaded simple beam carrying a total dead load of 27 kips and a total live load of 50 kips on a 45-ft span. Select the lightest weight shape for unbraced lengths of (2) 15 ft.

Fully show how to get the answer using the table provided, thank you.

 

TABLE 9.1 (Continued)
F. = 50 ksi
Z, 1,
Designation (in.) (fi)
L,
м,
м,
X, x 106
(ft) (kip-ft) (kip-ft) (in.) b,12t, hlt (ksi) [(1/ksi)*]
W 10 x 88
W 21 x 50
W 16 x 57
113
9.30 45.1
471
328 2.63
5.18 13.0 5,680
6.10 49.4 1,730 22,600
4.98 33.0 2,650
6.57 45.2 1,920 12,400
7.22 53.6 1,550 36,600
132
110
4.60 12.5
458
315 1.3
105
5.66 16.6
438
307 1.6
3,400
W 18 x 50
101
5.83 15.6
421
296 1.65
W 21 x 44
W 18 x 46
W 14 x 53
W 10 x 68
W 16 x 45
W 18 x 40
W 12 x 53
W 14 x 43
W 10 x 54
W 12 x 45
W 16 x 36
W 10 x 45
W 14 x 34
W 12 x 35
W 16 x 26
W 14 x 26
W 10 x 33
W 12 x 26
W 10 x 26
W 12 x 22
W 10 x 19
95.4
4.45 12.0
398
272 1.26
90.7
4.56 12.6
378
263 1.29
5.01 44.6 2,060
10,100
87.1
6.79 20.1
363
259 1.92
6.11 30.9 2.830
2,250
85.3 9.16 36.0
355
252 2.59
6.58 16.7 4,460
334
82.3
5.55 15.2
343
242 1.57
6.23 41.1 2,120
8,280
78.4
4.49 12.1
327
228 1.27
5.73 50.9 1,810
17,200
77.9
8.77 25.6
325
235 2.48
8.69 28.1 2,820
2,100
69.6
6.68 18.3
290
209 1.89
7.54 37.4 2,330
4,880
66.6
9.05 30.2
278
200 2.56
8.15 21.2 3,580
778
6.89 20.3
268
192 1.95
2,210
7.00 29.6 2.820
8.12 48.1 1,700 20,400
6.47 22.5 3,650
7.41 43.1 1,970 10,600
6.31 36.2 2,430
7.97 56.8 1,480 40,300
5.98 48.1 1,880
9.15 27.1 2,720
8.54 47.2 1,820 13,900
64.2
64.0
5.37 14.0
267
188 1.52
54.9
7.11 24.1
229
164 2.01
758
54.6
5.41 14.4
228
162 1.53
51.2 5.44 15.2
213
152 1.54
4.330
44.2
3.96 10.4
184
128 1.12
40.2
3.82 10.2
168
118 1.08
14,100
38.8
6.86 19.8
162
117 1.94
2,480
37.2
5.34 13.8
155
111 1.51
31.3
4.81 13.6
130
93 1.36
6.56 34.0 2,510
85 0.848 4.74 41.8 2,170
63 0.874 5.09 35.4 2,440
3,760
8,460
29.3 3.00 8.41
122
21.6
3.09 8.89
90
5,030
Source: Compiled from data in the Steel Construction Manual (Ref. 5) with permission of the
publisher, American Institute of Steel Construction.
Note: Designations in boldface typerefer to shapes with sections that have an especially efficient
bending moment resistance, indicated by the fact that there are other shapes of greater weight but
the same or smaller section modulus.
Transcribed Image Text:TABLE 9.1 (Continued) F. = 50 ksi Z, 1, Designation (in.) (fi) L, м, м, X, x 106 (ft) (kip-ft) (kip-ft) (in.) b,12t, hlt (ksi) [(1/ksi)*] W 10 x 88 W 21 x 50 W 16 x 57 113 9.30 45.1 471 328 2.63 5.18 13.0 5,680 6.10 49.4 1,730 22,600 4.98 33.0 2,650 6.57 45.2 1,920 12,400 7.22 53.6 1,550 36,600 132 110 4.60 12.5 458 315 1.3 105 5.66 16.6 438 307 1.6 3,400 W 18 x 50 101 5.83 15.6 421 296 1.65 W 21 x 44 W 18 x 46 W 14 x 53 W 10 x 68 W 16 x 45 W 18 x 40 W 12 x 53 W 14 x 43 W 10 x 54 W 12 x 45 W 16 x 36 W 10 x 45 W 14 x 34 W 12 x 35 W 16 x 26 W 14 x 26 W 10 x 33 W 12 x 26 W 10 x 26 W 12 x 22 W 10 x 19 95.4 4.45 12.0 398 272 1.26 90.7 4.56 12.6 378 263 1.29 5.01 44.6 2,060 10,100 87.1 6.79 20.1 363 259 1.92 6.11 30.9 2.830 2,250 85.3 9.16 36.0 355 252 2.59 6.58 16.7 4,460 334 82.3 5.55 15.2 343 242 1.57 6.23 41.1 2,120 8,280 78.4 4.49 12.1 327 228 1.27 5.73 50.9 1,810 17,200 77.9 8.77 25.6 325 235 2.48 8.69 28.1 2,820 2,100 69.6 6.68 18.3 290 209 1.89 7.54 37.4 2,330 4,880 66.6 9.05 30.2 278 200 2.56 8.15 21.2 3,580 778 6.89 20.3 268 192 1.95 2,210 7.00 29.6 2.820 8.12 48.1 1,700 20,400 6.47 22.5 3,650 7.41 43.1 1,970 10,600 6.31 36.2 2,430 7.97 56.8 1,480 40,300 5.98 48.1 1,880 9.15 27.1 2,720 8.54 47.2 1,820 13,900 64.2 64.0 5.37 14.0 267 188 1.52 54.9 7.11 24.1 229 164 2.01 758 54.6 5.41 14.4 228 162 1.53 51.2 5.44 15.2 213 152 1.54 4.330 44.2 3.96 10.4 184 128 1.12 40.2 3.82 10.2 168 118 1.08 14,100 38.8 6.86 19.8 162 117 1.94 2,480 37.2 5.34 13.8 155 111 1.51 31.3 4.81 13.6 130 93 1.36 6.56 34.0 2,510 85 0.848 4.74 41.8 2,170 63 0.874 5.09 35.4 2,440 3,760 8,460 29.3 3.00 8.41 122 21.6 3.09 8.89 90 5,030 Source: Compiled from data in the Steel Construction Manual (Ref. 5) with permission of the publisher, American Institute of Steel Construction. Note: Designations in boldface typerefer to shapes with sections that have an especially efficient bending moment resistance, indicated by the fact that there are other shapes of greater weight but the same or smaller section modulus.
TABLE 9.1 Load Factor Resistance Design Selection for Shapes Used as
Beams
F, = 50 ksi
%3D
Z,
L,
M,
M,
X, X, x 106
Designation (in.) (fi)
(ft) (kip-ft) (kip-ft) (in.) b/2t, hlt (ksi) [(1/ksi)*)
W 33 x 141 514
W 30 x 148 500
W 24 x 162 468
W 24 x 146 418
W 33 x 118 415
W 30 x 124 408
W 21 x 147 373
W 24 x 131 370
W 18 x 158 356
W 30 x 108 346
W 27 x 114 343
W 24 x 117 327
W 21 x 122 307
W 18 x 130 290
W 30 x 90
W 24 x 103 280
W 27 x 94
W 14 x 145 260
W 24 x 94 254
W 21 x 101 253
W 12 x 152 243
W 18 x 106 230
W 14 x 120 212
W 24 x 76
W 16 x 100 200
W 21 x 83
W 18 x 86
W 12 x 120 186
W 21 x 68
W 24 x 62
W 16 x 77
W 12 x 96
W 10 x 112 147
W 18 x 71
8.59 23.1
1,493 2.43 6.01 49.6 1,800
1,453 2.28 4.44 41.6 2,310
17,800
2,142
2,083
8.06 22.8
6,270
10.8
32.4
1,950
1,380 3.05 5.31 30.6 2,870
1,237 3.01 5.92 33.2 2,590
1,197 2.32 7.76 54.5 1,510
1,183 2.23 5.65 46.2 1,930
1,097 2.95 5.44 26.1 3,140
1,097 2.97 6.70 35.6 2,330
1,033 2.74 3.92 19.8 4,410
997 2.15 6.89 49.6 1,680
997 2.18 5.41 42.5 2,100
2,260
10.6
30.6
1,742
3,420
8.20 21.7
1,729
1,700
1,554
37,700
7.88 21.5
13,500
10.4
32.8
1,590
10.5 29.1
1,542
5,290
9.69 38.0
1,483
1,442
403
7.60 20.3
24,200
7.71 21.3
1,429
9.220
10.4
27.9
1,363
1,279
970 2.94 7.53 39.2 2,090
910 2.92 6.45 31.3 2,630
4.65 23.9 3,680
817 2.09 8.52 57.5 1,410
817 1.99 4.59 39.2 2,390
810 2.12 6.70 49.5 1,740
773 3.98 7.11 16.8 4,400
740 1.98 5.18 41.9 2,180
757 2.89 7.68 37.5 2,200
697 3.19 4.46 11.2 6,510
8,190
10.3
29.8
3,160
9.55 32.8
1,208
853 2.7
810
283
7.39 19.4
1,179
1,167
1,158
1,083
1,058
49,600
5,310
19,900
7.04 20.0
278
7.50 19.9
14.1
54.7
348
7.00 19.4
7,800
10.2
27.6
1,054
6,400
11.3
62.1
1,013
79
9.40 28.7
958
680 2.66 5.96 27.2 2,990
633 3.74 7.80 19.3 3,830
587 1.92 6.61 49.0 1,760
5.29 23.2 3,530
1,880
13.2 46.2
883
601
200
6.79 18.0
833
18,600
8.84 29.6
833
590 2.5
947
196
6.47 18.5
817
570 1.83 5.00 36.4 2,400
553 2.63 7.20 33.4 2,460
543 3.13 5.57 13.7 5,240
6.04 43.6 2,000
440 1.37 5.97 49.7 1,730
5,250
186
9.30 26.1
775
775
4,060
11.1
50.0
184
160
6.36 17.3
667
467 1.8
10,900
154
4.84 13.3
642
23,800
152
8.70 25.5
633
453 2.46 6.77 29.9 2,770
437 3.09 6.76 17.7 4.250
420 2.68 4.17 10.4 7,080
4.71 32.4 2,690
410 2.48 5.92 22.4 3,590
383 1.34 6.94 54.1 1,570
370 1.35 5.04 46.3 1,960
360 1.68 5.44 38.7 2,290
357 3.05 8.22 20.7 3,530
343 2.46 6.97 27.5 3,020
2,460
147
10.9
41.4
613
407
9.48 56.5
613
57
6.01 17.8
608
423 1.7
3,290
849
146
W 14 x 82
139
8.77 29.5
579
W 24 x 55
W 21 x 57
135
4.74 12.9
563
36,500
129
4.77 13.1
538
13,100
W 18 x 60
123
5.94 16.6
513
6,080
W 12 x 79
W 14 x 68
10.8 35.7
8.70 26.4
119
496
839
115
479
1,660
Transcribed Image Text:TABLE 9.1 Load Factor Resistance Design Selection for Shapes Used as Beams F, = 50 ksi %3D Z, L, M, M, X, X, x 106 Designation (in.) (fi) (ft) (kip-ft) (kip-ft) (in.) b/2t, hlt (ksi) [(1/ksi)*) W 33 x 141 514 W 30 x 148 500 W 24 x 162 468 W 24 x 146 418 W 33 x 118 415 W 30 x 124 408 W 21 x 147 373 W 24 x 131 370 W 18 x 158 356 W 30 x 108 346 W 27 x 114 343 W 24 x 117 327 W 21 x 122 307 W 18 x 130 290 W 30 x 90 W 24 x 103 280 W 27 x 94 W 14 x 145 260 W 24 x 94 254 W 21 x 101 253 W 12 x 152 243 W 18 x 106 230 W 14 x 120 212 W 24 x 76 W 16 x 100 200 W 21 x 83 W 18 x 86 W 12 x 120 186 W 21 x 68 W 24 x 62 W 16 x 77 W 12 x 96 W 10 x 112 147 W 18 x 71 8.59 23.1 1,493 2.43 6.01 49.6 1,800 1,453 2.28 4.44 41.6 2,310 17,800 2,142 2,083 8.06 22.8 6,270 10.8 32.4 1,950 1,380 3.05 5.31 30.6 2,870 1,237 3.01 5.92 33.2 2,590 1,197 2.32 7.76 54.5 1,510 1,183 2.23 5.65 46.2 1,930 1,097 2.95 5.44 26.1 3,140 1,097 2.97 6.70 35.6 2,330 1,033 2.74 3.92 19.8 4,410 997 2.15 6.89 49.6 1,680 997 2.18 5.41 42.5 2,100 2,260 10.6 30.6 1,742 3,420 8.20 21.7 1,729 1,700 1,554 37,700 7.88 21.5 13,500 10.4 32.8 1,590 10.5 29.1 1,542 5,290 9.69 38.0 1,483 1,442 403 7.60 20.3 24,200 7.71 21.3 1,429 9.220 10.4 27.9 1,363 1,279 970 2.94 7.53 39.2 2,090 910 2.92 6.45 31.3 2,630 4.65 23.9 3,680 817 2.09 8.52 57.5 1,410 817 1.99 4.59 39.2 2,390 810 2.12 6.70 49.5 1,740 773 3.98 7.11 16.8 4,400 740 1.98 5.18 41.9 2,180 757 2.89 7.68 37.5 2,200 697 3.19 4.46 11.2 6,510 8,190 10.3 29.8 3,160 9.55 32.8 1,208 853 2.7 810 283 7.39 19.4 1,179 1,167 1,158 1,083 1,058 49,600 5,310 19,900 7.04 20.0 278 7.50 19.9 14.1 54.7 348 7.00 19.4 7,800 10.2 27.6 1,054 6,400 11.3 62.1 1,013 79 9.40 28.7 958 680 2.66 5.96 27.2 2,990 633 3.74 7.80 19.3 3,830 587 1.92 6.61 49.0 1,760 5.29 23.2 3,530 1,880 13.2 46.2 883 601 200 6.79 18.0 833 18,600 8.84 29.6 833 590 2.5 947 196 6.47 18.5 817 570 1.83 5.00 36.4 2,400 553 2.63 7.20 33.4 2,460 543 3.13 5.57 13.7 5,240 6.04 43.6 2,000 440 1.37 5.97 49.7 1,730 5,250 186 9.30 26.1 775 775 4,060 11.1 50.0 184 160 6.36 17.3 667 467 1.8 10,900 154 4.84 13.3 642 23,800 152 8.70 25.5 633 453 2.46 6.77 29.9 2,770 437 3.09 6.76 17.7 4.250 420 2.68 4.17 10.4 7,080 4.71 32.4 2,690 410 2.48 5.92 22.4 3,590 383 1.34 6.94 54.1 1,570 370 1.35 5.04 46.3 1,960 360 1.68 5.44 38.7 2,290 357 3.05 8.22 20.7 3,530 343 2.46 6.97 27.5 3,020 2,460 147 10.9 41.4 613 407 9.48 56.5 613 57 6.01 17.8 608 423 1.7 3,290 849 146 W 14 x 82 139 8.77 29.5 579 W 24 x 55 W 21 x 57 135 4.74 12.9 563 36,500 129 4.77 13.1 538 13,100 W 18 x 60 123 5.94 16.6 513 6,080 W 12 x 79 W 14 x 68 10.8 35.7 8.70 26.4 119 496 839 115 479 1,660
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