Select the lightest weight stell wide-flange beam that will safely support the loading shown. The allowable bending stress is 24ksi and the allowable shear stress is 14ksi

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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Select the lightest weight stell wide-flange beam that will safely support the loading shown. The allowable bending stress is 24ksi and the allowable shear stress is 14ksi.
15 kip/ft
10 kip/ft
10 kip/ft
6 ft-
6 ft-
Transcribed Image Text:15 kip/ft 10 kip/ft 10 kip/ft 6 ft- 6 ft-
Wide-Flange Sections or W Shapes FPS Units
Flange
Web
х-х ахis
у-у ахis
Area
Depth
thickness
width
thickness
Designation
A
tw
in. x Ib/ft
in?
in.
in.
in.
in.
in
in
in.
in
in
in.
W24 x 104
W24 x 94
W24 x 84
W24 x 76
W24 x 68
W24 x 62
W24 x 55
30.6
27.7
24.7
22.4
20.1
24.06
24.31
24.10
23.92
23.73
23.74
23.57
0.500
0.515
0.470
0.440
0.415
0.430
0.395
259
109
94.4
82.5
70.4
34.5
29.1
12.750
9.065
9.020
0.750
0.875
0.770
3100
2700
2370
258
222
196
176
154
40.7
24.0
20.9
2.91
1.98
1.95
1.92
1.87
10.1
9.87
9.79
8.990
0.680
2100
1830
1550
1350
9.69
18.4
9.55
15.7
8.965
7.040
7.005
0.585
0.590
18.2
131
9.23
9.80
1.38
16.2
0.505
114
9.11
8.30
1.34
18.35
18.24
W18 x 65
W18 x 60
W18 x 55
W18 x 50
W18 x 46
W18 x 40
W18 x 35
0.450
0.415
0.390
0.355
7.590
7.555
0.750
0.695
0.630
0.570
1070
984
117
108
7.49
7.47
19.1
17.6
16.2
14.7
13.5
11.8
10.3
54.8
50.1
44.9
40.1
14.4
13.3
11.9
10.7
7.43
6.35
5.12
1.69
1.69
1.67
1.65
1.29
1.27
1.22
98.3
88.9
18.11
7.530
890
7.41
17.99
7.495
7.38
7.25
7.21
7.04
800
78.8
712
612
510
22.5
19.1
15.3
18.06
0.360
6.060
0.605
17.90
17.70
0.315
0.300
6.015
6.000
0.525
0.425
68.4
57.6
W16 x 57
W16 x 50
W16 x 45
W16 x 36
W16 x 31
W16 x 26
7.120
7.070
7.035
6.985
5.525
5.500
0.715
0.630
758
659
586
448
92.2
81.0
72.7
56.5
47.2
38.4
12.1
10.5
9.34
7.00
1.60
1.59
1.57
1.52
1.17
1.12
16.8
16.43
16.26
0.430
6.72
6.68
6,65
6.51
6.41
6.26
43.1
14.7
13.3
10.6
9.12
7.68
37.2
32.8
24.5
12.4
9.59
0.380
16.13
0.345
0.565
15.86
15.88
15.69
0.295
0.275
0.250
0.430
0.440
0.345
375
301
4.49
3.49
W14 x 53
W14 x 43
W14 x 38
W14 x 34
W14 x 30
W14 x 26
W14 x 22
15.6
12.6
11.2
10.0
13.92
13.66
14.10
13.98
13.84
13.91
13.74
541
428
385
340
77.8
62.7
54.6
48.6
57.7
45.2
26.7
23.3
0.370
8.060
7.995
6.770
6.745
6.730
5.025
5.000
0.660
0.530
0.515
0.455
0.385
0.420
5.89
5.82
5.87
5.83
5.73
5.65
5.54
14.3
11.3
7.88
1.92
0.305
0.310
0.285
0.270
0.255
0.230
1.89
1.55
1.53
6.91
42.0
35.3
29.0
8.85
291
245
19.6
8.91
7.00
5.82
3.54
2.80
1.49
1.08
7.69
6.49
0.335
199
1.04
Transcribed Image Text:Wide-Flange Sections or W Shapes FPS Units Flange Web х-х ахis у-у ахis Area Depth thickness width thickness Designation A tw in. x Ib/ft in? in. in. in. in. in in in. in in in. W24 x 104 W24 x 94 W24 x 84 W24 x 76 W24 x 68 W24 x 62 W24 x 55 30.6 27.7 24.7 22.4 20.1 24.06 24.31 24.10 23.92 23.73 23.74 23.57 0.500 0.515 0.470 0.440 0.415 0.430 0.395 259 109 94.4 82.5 70.4 34.5 29.1 12.750 9.065 9.020 0.750 0.875 0.770 3100 2700 2370 258 222 196 176 154 40.7 24.0 20.9 2.91 1.98 1.95 1.92 1.87 10.1 9.87 9.79 8.990 0.680 2100 1830 1550 1350 9.69 18.4 9.55 15.7 8.965 7.040 7.005 0.585 0.590 18.2 131 9.23 9.80 1.38 16.2 0.505 114 9.11 8.30 1.34 18.35 18.24 W18 x 65 W18 x 60 W18 x 55 W18 x 50 W18 x 46 W18 x 40 W18 x 35 0.450 0.415 0.390 0.355 7.590 7.555 0.750 0.695 0.630 0.570 1070 984 117 108 7.49 7.47 19.1 17.6 16.2 14.7 13.5 11.8 10.3 54.8 50.1 44.9 40.1 14.4 13.3 11.9 10.7 7.43 6.35 5.12 1.69 1.69 1.67 1.65 1.29 1.27 1.22 98.3 88.9 18.11 7.530 890 7.41 17.99 7.495 7.38 7.25 7.21 7.04 800 78.8 712 612 510 22.5 19.1 15.3 18.06 0.360 6.060 0.605 17.90 17.70 0.315 0.300 6.015 6.000 0.525 0.425 68.4 57.6 W16 x 57 W16 x 50 W16 x 45 W16 x 36 W16 x 31 W16 x 26 7.120 7.070 7.035 6.985 5.525 5.500 0.715 0.630 758 659 586 448 92.2 81.0 72.7 56.5 47.2 38.4 12.1 10.5 9.34 7.00 1.60 1.59 1.57 1.52 1.17 1.12 16.8 16.43 16.26 0.430 6.72 6.68 6,65 6.51 6.41 6.26 43.1 14.7 13.3 10.6 9.12 7.68 37.2 32.8 24.5 12.4 9.59 0.380 16.13 0.345 0.565 15.86 15.88 15.69 0.295 0.275 0.250 0.430 0.440 0.345 375 301 4.49 3.49 W14 x 53 W14 x 43 W14 x 38 W14 x 34 W14 x 30 W14 x 26 W14 x 22 15.6 12.6 11.2 10.0 13.92 13.66 14.10 13.98 13.84 13.91 13.74 541 428 385 340 77.8 62.7 54.6 48.6 57.7 45.2 26.7 23.3 0.370 8.060 7.995 6.770 6.745 6.730 5.025 5.000 0.660 0.530 0.515 0.455 0.385 0.420 5.89 5.82 5.87 5.83 5.73 5.65 5.54 14.3 11.3 7.88 1.92 0.305 0.310 0.285 0.270 0.255 0.230 1.89 1.55 1.53 6.91 42.0 35.3 29.0 8.85 291 245 19.6 8.91 7.00 5.82 3.54 2.80 1.49 1.08 7.69 6.49 0.335 199 1.04
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