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 22.2ft.
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 22.2ft.
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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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 22.2ft.
Use the tables below for Lp, Mp, Lr, and Mr
Mp-(Mp-Mr)(Lb-Lp/Lr-Lp)
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0747b2eb-b7a2-4a20-ad19-664afe7e0a63%2F8d1c6d48-66ec-42dd-8ea9-5ff08c2d5a0a%2Fsukr2kg_processed.jpeg&w=3840&q=75)
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.
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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