A W200x59 steel wide-flange section supports a uniformly distributed line load on a simple span of 6 m. Assume A992 steel. Calculate the allowable load (kN/m). Neglect the weight of the beam. Use Fy=0.4 Fy

Structural Analysis
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Chapter2: Loads On Structures
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TABLE G.2 SI units
Mod. of
Elasticity
Mod. of
Coeff. of
Rigidity
Thermal
Ultimate Strength
MPa
Expansion a
m/m/C°
x 10-6
Poisson's
Density
kg/m3
× 10³
E
G
Tensile Yield
MPa
MPa
Strength
Fy ksi
Ratio
Material
х 103
x 103
Tens.
Comp.
Shear
250
Steel ASTM A36
or A501
7.85
207
83
400
11.7
0.25
Steel (high-strength
low-alloy) ASTM
A992
7.85
207
83
345
450
11.7
0.25
Steel AISI 1020
7.85
207
79.3
210
380
11.7
0.25
hot-rolled
Steel AISI 1040
7.85
207
79.3
290
520
11.7
0.25
hot-rolled
Stainless steel
(annealed)
7.85
200
80
280
580
410
11.7
0.25
Cast iron (gray)
7.21
103
41
140
550
220
10.6
0.26
Aluminum alloy
6061-T6
2.64
70
28
240
260
190
23.6
0.33
Magnesium alloy
1.794
45
17
210
280
140
26.1
0.34
Titanium alloy
4.40
114
45
900
970
690
9.7
Brass (rolled)
8.56
97
41
340
410
340
18.7
0.34
Bronze (cast)
8.56
83
34
170
230
390
18.2
0.35
Copper (hard
drawn)
8.81
103
41
280
380
260
16.7
0.35
Concrete
2.40
21.5
21
9.9
0.20
Concrete
2.40
24.9
28
9.9
0.20
TABLE A.2 SI units
Designation
mm x kg/m
Z, x 10³
mm3
A
tw
106 mm4
103 mm3
Iy
106 mm4
S,
103 mm3
mm2
mm
mm
mm
mm
mm
mm
w1000 x 222
28,300 970
16.0
298
21.1
4080
8410
381
9800
95.3
636
58.2
W920 x 390
49,800
937
21.30
419
36.6
7450
15,900
389
18,000
454
2160
95.5
W840 x 329
42,100
861
19.7
400
32.5
5370
12,400
358
14,000
350
1740
91.2
W610 x 153
19,500
622
14.0
229
24.9
1250
4010
254
4590
49.5
434
50.5
W610 × 113
14,500
607
11.2
229
17.3
874
2880
246
3280
34.3
302
48.8
W530 x 138
17,600
549
14.7
213
23.6
862
3150
221
3620
38.7
362
46.7
W530 x 101
12,900
536
10.9
210
17.4
616
2290
218
2620
26.9
257
45.7
W530 x 72
9100
523
8.89
206
10.9
399
1520
209
1750
16.1
156
42.2
W460 x 60
7610
455
8.00
152
13.3
255
1120
183
1280
7.95
104
32.3
W410 x 100
12,600
414
10.0
260
16.9
397
1920
177
2130
49.5
380
62.5
W360 × 110
14,100 361
11.4
257
19.9
331
1840
153
2060
55.8
436
63
W310 x 202
25,700
340
20.1
314
31.8
516
3050
142
3510
166
1050
80.3
W310 x 107
13,600
312
10.9
305
17.0
248
1600
135
1770
81.2
531
77.2
W310 x 97
12,300
307
9.91
305
15.4
222
1440
134
1590
72.4
477
76.7
W310 x 38.7
4940
310
5.84
165
9.65
84.9
547
131
610
7.2
87.5
38.4
W250 x 115
14,600
269
13.5
260
22.1
189
1410
114
1600
64.1
493
66
W250 x 73
9290
254
8.64
254
14.2
113
895
110
990
38.9
306
64.5
W200 x 59
7550
210
9.14
206
14.2
60.8
582
89.7
652
20.4
200
51.8
W150 x 24
3060
160
6.60
102
10.3
13.4
167
66
192
1.84
36.1
24.6
"Flange and web thicknesses may vary due to mill rolling practices.
Transcribed Image Text:TABLE G.2 SI units Mod. of Elasticity Mod. of Coeff. of Rigidity Thermal Ultimate Strength MPa Expansion a m/m/C° x 10-6 Poisson's Density kg/m3 × 10³ E G Tensile Yield MPa MPa Strength Fy ksi Ratio Material х 103 x 103 Tens. Comp. Shear 250 Steel ASTM A36 or A501 7.85 207 83 400 11.7 0.25 Steel (high-strength low-alloy) ASTM A992 7.85 207 83 345 450 11.7 0.25 Steel AISI 1020 7.85 207 79.3 210 380 11.7 0.25 hot-rolled Steel AISI 1040 7.85 207 79.3 290 520 11.7 0.25 hot-rolled Stainless steel (annealed) 7.85 200 80 280 580 410 11.7 0.25 Cast iron (gray) 7.21 103 41 140 550 220 10.6 0.26 Aluminum alloy 6061-T6 2.64 70 28 240 260 190 23.6 0.33 Magnesium alloy 1.794 45 17 210 280 140 26.1 0.34 Titanium alloy 4.40 114 45 900 970 690 9.7 Brass (rolled) 8.56 97 41 340 410 340 18.7 0.34 Bronze (cast) 8.56 83 34 170 230 390 18.2 0.35 Copper (hard drawn) 8.81 103 41 280 380 260 16.7 0.35 Concrete 2.40 21.5 21 9.9 0.20 Concrete 2.40 24.9 28 9.9 0.20 TABLE A.2 SI units Designation mm x kg/m Z, x 10³ mm3 A tw 106 mm4 103 mm3 Iy 106 mm4 S, 103 mm3 mm2 mm mm mm mm mm mm w1000 x 222 28,300 970 16.0 298 21.1 4080 8410 381 9800 95.3 636 58.2 W920 x 390 49,800 937 21.30 419 36.6 7450 15,900 389 18,000 454 2160 95.5 W840 x 329 42,100 861 19.7 400 32.5 5370 12,400 358 14,000 350 1740 91.2 W610 x 153 19,500 622 14.0 229 24.9 1250 4010 254 4590 49.5 434 50.5 W610 × 113 14,500 607 11.2 229 17.3 874 2880 246 3280 34.3 302 48.8 W530 x 138 17,600 549 14.7 213 23.6 862 3150 221 3620 38.7 362 46.7 W530 x 101 12,900 536 10.9 210 17.4 616 2290 218 2620 26.9 257 45.7 W530 x 72 9100 523 8.89 206 10.9 399 1520 209 1750 16.1 156 42.2 W460 x 60 7610 455 8.00 152 13.3 255 1120 183 1280 7.95 104 32.3 W410 x 100 12,600 414 10.0 260 16.9 397 1920 177 2130 49.5 380 62.5 W360 × 110 14,100 361 11.4 257 19.9 331 1840 153 2060 55.8 436 63 W310 x 202 25,700 340 20.1 314 31.8 516 3050 142 3510 166 1050 80.3 W310 x 107 13,600 312 10.9 305 17.0 248 1600 135 1770 81.2 531 77.2 W310 x 97 12,300 307 9.91 305 15.4 222 1440 134 1590 72.4 477 76.7 W310 x 38.7 4940 310 5.84 165 9.65 84.9 547 131 610 7.2 87.5 38.4 W250 x 115 14,600 269 13.5 260 22.1 189 1410 114 1600 64.1 493 66 W250 x 73 9290 254 8.64 254 14.2 113 895 110 990 38.9 306 64.5 W200 x 59 7550 210 9.14 206 14.2 60.8 582 89.7 652 20.4 200 51.8 W150 x 24 3060 160 6.60 102 10.3 13.4 167 66 192 1.84 36.1 24.6 "Flange and web thicknesses may vary due to mill rolling practices.
A W200x59 steel wide-flange section supports a uniformly distributed line load on a simple span of 6 m. Assume A992 steel. Calculate the allowable load (kN/m). Neglect the weight of
the beam. Use Fv=0.4 Fy
Transcribed Image Text:A W200x59 steel wide-flange section supports a uniformly distributed line load on a simple span of 6 m. Assume A992 steel. Calculate the allowable load (kN/m). Neglect the weight of the beam. Use Fv=0.4 Fy
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