The cantilever beam shown in Figure P5.8-4 is a W10 × 77 of A992 steel. There is no lateral support other than at the fixed end. Use an unbraced length equal to the span length and determine whether the beam is adequate. The uniform load is a service dead load that includes the beam weight, and the concentrated load is a service live load. a. Use LRFD. b. Use ASD.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The cantilever beam shown in Figure P5.8-4 is a W10 × 77 of A992 steel. There is
no lateral support other than at the fixed end. Use an unbraced length equal to the span
length and determine whether the beam is adequate. The uniform load is a service
dead load that includes the beam weight, and the concentrated load is a service live
load.
a. Use LRFD.
b. Use ASD.

90k
WD = 150 lb/ft
%3D
10'-
FIGURE P5.8-4
Transcribed Image Text:90k WD = 150 lb/ft %3D 10'- FIGURE P5.8-4
WIDE FL ANGE
SHAPES
Theoretical Dimensions and Properties for Designing
Asis X-X
Flange
Axis Y-Y
Weight Area Depth
of
Web
Thick Thick-
ess
Section per
Number Foot Section Section Width ness
A
in in.
in.
in
in
in.
in
in
in.
in.
in.
45.3 2.68
40.0 2.65
W10 x 112 32.9 11.36 10.415 1.250 0.755
4.66
2.88
236
207
179
716
126
100 29.4 11.10 10.340 1.120 0.680
623
112
4.60
2.85
88 25.9 10.84 10.265 0.990 0.605
534
98.5 4.54
34.8 2.63
2.83
30.1 2.60
26.4 2.59
10.60 10.190 0.870 0.530
154
2.80
-85.9
75.7
4.49
22.6
20.0 10.40 10.130 0.770 0.470
60
77
455
2.79
134
116
68
394
4.44
17.6 10.22 10.080 0.680 0.420
341
66.7
4.39
23.0 2.57
2.77
2.75
2.74
54
15.8 10.09 10.030 0.615 0.370
303
60.0
4.37
103
20.5 2.56
49
14.4
9.98 10.000 0.560 0.340
272
54.6 4.35
93.4
18.7 2.54
W10x 45 13.3 10.10 8.020 0.620 0.350
248
49.1 4.33
53.4
13.3 2.01
2.18
45.0
11.3 1.98
2.16
11.5
9.71 9.73 7.560 0.435 0.290
39
9.92 7.985 0.530 0.315
209
42.1 4.27
33
170
35.0 4.19
36.6
9.20 1.94
2.14
W10 x 30
8.84 10.47 5.810 0.510 0.300
16.7
5.75 1.37
1.55
32.4 4.38
27.9 4.35
23.2 4.27
170
4.89 1.36
3.97 1.33
14.1
1.54
26
22
7.61 10.33 5.770 0.440 0.260
6.49 10.17 5.750 0.360 0.240
144
118
11.4
1.51
4.29
4.020 0.395 O.250
4.010 0.330 0.240
4.000 0.270 0.230
3.54 9.87 3.960 0.210 0.190
96.3
18.8 4.14
2.14 0.874 1.03
5.62 10.24
4.99 10.11
4.41
W10 x
19
1.78 0.845 1.01
16.2 4.05
13.8
3.95
10.9 3.90
17
81.9
3.56
2.89
1.45 0.810 0.987
68.9
53.8
15
9.99
12
2.18
1.10 0.785 0.955
1,
Transcribed Image Text:WIDE FL ANGE SHAPES Theoretical Dimensions and Properties for Designing Asis X-X Flange Axis Y-Y Weight Area Depth of Web Thick Thick- ess Section per Number Foot Section Section Width ness A in in. in. in in in. in in in. in. in. 45.3 2.68 40.0 2.65 W10 x 112 32.9 11.36 10.415 1.250 0.755 4.66 2.88 236 207 179 716 126 100 29.4 11.10 10.340 1.120 0.680 623 112 4.60 2.85 88 25.9 10.84 10.265 0.990 0.605 534 98.5 4.54 34.8 2.63 2.83 30.1 2.60 26.4 2.59 10.60 10.190 0.870 0.530 154 2.80 -85.9 75.7 4.49 22.6 20.0 10.40 10.130 0.770 0.470 60 77 455 2.79 134 116 68 394 4.44 17.6 10.22 10.080 0.680 0.420 341 66.7 4.39 23.0 2.57 2.77 2.75 2.74 54 15.8 10.09 10.030 0.615 0.370 303 60.0 4.37 103 20.5 2.56 49 14.4 9.98 10.000 0.560 0.340 272 54.6 4.35 93.4 18.7 2.54 W10x 45 13.3 10.10 8.020 0.620 0.350 248 49.1 4.33 53.4 13.3 2.01 2.18 45.0 11.3 1.98 2.16 11.5 9.71 9.73 7.560 0.435 0.290 39 9.92 7.985 0.530 0.315 209 42.1 4.27 33 170 35.0 4.19 36.6 9.20 1.94 2.14 W10 x 30 8.84 10.47 5.810 0.510 0.300 16.7 5.75 1.37 1.55 32.4 4.38 27.9 4.35 23.2 4.27 170 4.89 1.36 3.97 1.33 14.1 1.54 26 22 7.61 10.33 5.770 0.440 0.260 6.49 10.17 5.750 0.360 0.240 144 118 11.4 1.51 4.29 4.020 0.395 O.250 4.010 0.330 0.240 4.000 0.270 0.230 3.54 9.87 3.960 0.210 0.190 96.3 18.8 4.14 2.14 0.874 1.03 5.62 10.24 4.99 10.11 4.41 W10 x 19 1.78 0.845 1.01 16.2 4.05 13.8 3.95 10.9 3.90 17 81.9 3.56 2.89 1.45 0.810 0.987 68.9 53.8 15 9.99 12 2.18 1.10 0.785 0.955 1,
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