Instructions: For the  beam  below, design the beam usingtrial sectionW21x147. If the  section is insufficient,select other properties from the  W21 table to a.) satisfy adequacy, local buckling, design capacity, b.) shear, and deflection. Use the  LRFD method. Latera I bracings are found at supports. Also, use A36. Also,  utilize the  W21 section property table that is found below.

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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Instructions: For the  beam  below, design the beam usingtrial sectionW21x147. If the  section is insufficient,select other properties from the  W21 table to a.) satisfy adequacy, local buckling, design capacity, b.) shear, and deflection. Use the  LRFD method. Latera I bracings are found at supports. Also, use A36.

Also,  utilize the  W21 section property table that is found below.

LL = 60 KN/m
DL=50 KN/m
(Excluding self
weight)
8.00m
FIGURE 01
X
B
Transcribed Image Text:LL = 60 KN/m DL=50 KN/m (Excluding self weight) 8.00m FIGURE 01 X B
Weight
W
kg/m
Designation
dxw
W 24 x 103
x 94
x 84
x 76
x 69
x 62
x 55
W 21 x 402
x 364
x 333
x 300
x 275
x 248
x 223
x 201
x 182
x 166
x 147
x 132
x 122
x 111
x 101
Axis X-X
1
S
x10²
x10²
mm²
mm
1,248,694
4,000.0
1,123,825
3,639.9
986,468
3,223.2
874,086
2,877.2
761,704
2,527.6
645,159
2,139.8
561,912
1,877.1
5,078,023
15,367.0
4,495,299 13,898.0
3,999,984 12,598.4
3,529,642 11,329.3
3,171,683 10,349.9
2,813,724
9,332.4
2,476,577
8,351.3
2,210,189
7,556.2
1,968,775
6,823.0
1,781,471
6,239.8
1,510,920
5,393.3
1,340,255
4,834.1
1,232,045
4.474.5
1,111,330
4,067.9
1,007,280
3,713.5
Area
A
mm²
153.8
19,548
140.6
17,871
125.3
15,935
113.7
14,452
102.0
12,968
92.4 11,742
822
10,452
598.8
76,129
543.0
69,032
496.9
63,161
447.6
56,903
410.0 52,129
369.4
46,960
331.9
42,193
300.4
30, 193
272.0 34,581
247.6
31,484
219.2
27,871
196.9
25,032
182.2
23,161
165.9 21,097
151.2 19,226
Depth
H
mm
623.1
617.5
612.1
607.6
602.7
603.0
598.7
660.9
646.9
635.0
623.1
612.9
603.0
593.1
585.0
577.1
571.0
560.3
554.5
550.7
546.4
542.5
Elastic Properties
r
x10²
mm
mm²
252.74
250.77
249.81
245.93
242.36
234.40
231.86
258.27
255.10
251.65
249.06
246.66
244.76
242.27
240.5€
258 60
237.97
232.83
231.39
230.64
229.52
228.99
49,532
45,369
39,292
34,339
29,303
14,360
12,112
528,614
466, 179
413,734
363,370
326,742
208,065
253,485
225,597
201,040
101,061
156,503
138,605
126,951
114,047
103,225
Web
Thickness
mm
14.0
131
11.9
11.2
10.5
10.9
100
43.9
40.4
37.1
33.5
31.0
27.9
25.4
23.1
21.1
19.1
18.3
16.5
15.2
140
127
Axis Y-Y
9
X10³
mm³
433.4
394.0
343.0
300.8
257.4
160.6
136.2
3,104.9
2,767.5
2,481.2
2,202.9
1,996.0
1,780.4
1,574.9
1,412.6
1,266.4
1.147.8
984.9
877.2
806.8
727.8
661.3
Flange
Width
b₂
mm
229.6
230.3
229.1
226.3
22.7
179.9
177.9
340.5
336.9
333.5
329.9
327.4
324.5
321.9
319.4
317.5
315.5
317.8
316.0
314.7
313.4
312.2
r
mm
Flange
Thickness
4
mm
50.34
50.30
49.66
48.74
47.54
34.97
34.04
83.33
82 18
80.93
79.91
79.17
78.42
77.51
76.86
76.25
75.83
74.94
74.41
74.04
73.52
73.27
24.9
22.2
19.6
17.3
149
15.0
128
79.5
72.4
66.5
60.5
55.6
50.5
45.5
41.4
37.6
345
29.2
26.3
24.4
22.2
20.3
Designation
dxw
W 24 x 103
x 94
x 84
x 76
x 68
x 62
x 55
W 21 x 402
x 364
x 333
x 300
x 275
x 248
x 223
x 201
x 182
x 166/
x 147
x 132
x 122
x 111
x 101
Transcribed Image Text:Weight W kg/m Designation dxw W 24 x 103 x 94 x 84 x 76 x 69 x 62 x 55 W 21 x 402 x 364 x 333 x 300 x 275 x 248 x 223 x 201 x 182 x 166 x 147 x 132 x 122 x 111 x 101 Axis X-X 1 S x10² x10² mm² mm 1,248,694 4,000.0 1,123,825 3,639.9 986,468 3,223.2 874,086 2,877.2 761,704 2,527.6 645,159 2,139.8 561,912 1,877.1 5,078,023 15,367.0 4,495,299 13,898.0 3,999,984 12,598.4 3,529,642 11,329.3 3,171,683 10,349.9 2,813,724 9,332.4 2,476,577 8,351.3 2,210,189 7,556.2 1,968,775 6,823.0 1,781,471 6,239.8 1,510,920 5,393.3 1,340,255 4,834.1 1,232,045 4.474.5 1,111,330 4,067.9 1,007,280 3,713.5 Area A mm² 153.8 19,548 140.6 17,871 125.3 15,935 113.7 14,452 102.0 12,968 92.4 11,742 822 10,452 598.8 76,129 543.0 69,032 496.9 63,161 447.6 56,903 410.0 52,129 369.4 46,960 331.9 42,193 300.4 30, 193 272.0 34,581 247.6 31,484 219.2 27,871 196.9 25,032 182.2 23,161 165.9 21,097 151.2 19,226 Depth H mm 623.1 617.5 612.1 607.6 602.7 603.0 598.7 660.9 646.9 635.0 623.1 612.9 603.0 593.1 585.0 577.1 571.0 560.3 554.5 550.7 546.4 542.5 Elastic Properties r x10² mm mm² 252.74 250.77 249.81 245.93 242.36 234.40 231.86 258.27 255.10 251.65 249.06 246.66 244.76 242.27 240.5€ 258 60 237.97 232.83 231.39 230.64 229.52 228.99 49,532 45,369 39,292 34,339 29,303 14,360 12,112 528,614 466, 179 413,734 363,370 326,742 208,065 253,485 225,597 201,040 101,061 156,503 138,605 126,951 114,047 103,225 Web Thickness mm 14.0 131 11.9 11.2 10.5 10.9 100 43.9 40.4 37.1 33.5 31.0 27.9 25.4 23.1 21.1 19.1 18.3 16.5 15.2 140 127 Axis Y-Y 9 X10³ mm³ 433.4 394.0 343.0 300.8 257.4 160.6 136.2 3,104.9 2,767.5 2,481.2 2,202.9 1,996.0 1,780.4 1,574.9 1,412.6 1,266.4 1.147.8 984.9 877.2 806.8 727.8 661.3 Flange Width b₂ mm 229.6 230.3 229.1 226.3 22.7 179.9 177.9 340.5 336.9 333.5 329.9 327.4 324.5 321.9 319.4 317.5 315.5 317.8 316.0 314.7 313.4 312.2 r mm Flange Thickness 4 mm 50.34 50.30 49.66 48.74 47.54 34.97 34.04 83.33 82 18 80.93 79.91 79.17 78.42 77.51 76.86 76.25 75.83 74.94 74.41 74.04 73.52 73.27 24.9 22.2 19.6 17.3 149 15.0 128 79.5 72.4 66.5 60.5 55.6 50.5 45.5 41.4 37.6 345 29.2 26.3 24.4 22.2 20.3 Designation dxw W 24 x 103 x 94 x 84 x 76 x 68 x 62 x 55 W 21 x 402 x 364 x 333 x 300 x 275 x 248 x 223 x 201 x 182 x 166/ x 147 x 132 x 122 x 111 x 101
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