A W310 x97 steel wide-flange section Supports a uniformly distributed line load on a simple span of 7 m. Assume A36 steel. Calculate the allo kN/m). Neglect the weight of the beam. Use Fy=0.4 Fv

Structural Analysis
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Chapter2: Loads On Structures
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Concrete
2.40
TABLE A.2 SI units
Designation
mm x kg/m
d
A
mm2 mm
21.5
mm
16.0
21.30
W1000 × 222
298 21.1
28,300 970
49,800 937
419 36.6
W920 x 390
W840 x 329
W610 x 153
42,100 861 19.7
400 32.5
229 24.9
14.0
11.2
14.7
19,500 622
14,500 607
17,600 549
12,900
229 17.3
213 23.6
536 10.9
210
17.4
W610 x 113
W530 x 138
W530 x 101
W530 × 72
W460 x 60
W410 x 100
W360 x 110
9100 523
206
10.9
7610 455
152
13.3
260
16.9
257
19.9
314 31.8
12,600 414
361
14,100
25,700
13,600
12,300 307
310
4940
14,600 269
305
W310 X 202
W310 x 107
W310 X 97
W310 x 38.7
17.0
305 15.4
165
9.65
W250 x 115
260 22.1
W250 x 73
9290
254
8.64
254
14.2
W200 x 59
7550
210
9.14
206
14.2
W150 x 24
3060 160 6.60
102 10.3
Flange and web thicknesses may vary due to mill rolling practices.
8.89
8.00
10.0
11.4
340 20.1
312 10.9
9.91
5.84
b₁
mm²
13.5
t
mm²
I
106 mm
4080
7450
5370
1250
874
862
616
399
255
397
331
516
248
222
84.9
189
113
60.8
13.4
S₁
10³ mm³
21
mm
8410 381
15,900 389
12,400 358
4010
254
2880 246
3150
221
2290
218
1520
209
1120
183
1920
177
1840
153
3050
142
1600
135
1440
134
547
131
1410
114
895
110
582
167
89.7
66
Z₂ x 10³
mm³
9800
18,000
14,000
4590
3280
3620
2620
1750
1280
2130
2060
3510
1770
1590
610
1600
990
652
192
ly
106 mm4
9.9
95.3
454
350
49.5
34.3
38.7
26.9
16.1
7.95
49.5
55.8
166
81.2
72.4
7.2
64.1
38.9
20.4
1.84
Sy
10³ mm³
636
2160
1740
434
302
362
257
156
104
380
436
1050
531
477
0.20
87.5.
493
306
200
36.1
Ty
mm
58.2
95.5
91.2
50.5
48.8
46.7
45.7
42.2
32.3
62.5
63
80.3
77.2
76.7
38.4
66
64.5
51.8
24.6
Transcribed Image Text:Concrete 2.40 TABLE A.2 SI units Designation mm x kg/m d A mm2 mm 21.5 mm 16.0 21.30 W1000 × 222 298 21.1 28,300 970 49,800 937 419 36.6 W920 x 390 W840 x 329 W610 x 153 42,100 861 19.7 400 32.5 229 24.9 14.0 11.2 14.7 19,500 622 14,500 607 17,600 549 12,900 229 17.3 213 23.6 536 10.9 210 17.4 W610 x 113 W530 x 138 W530 x 101 W530 × 72 W460 x 60 W410 x 100 W360 x 110 9100 523 206 10.9 7610 455 152 13.3 260 16.9 257 19.9 314 31.8 12,600 414 361 14,100 25,700 13,600 12,300 307 310 4940 14,600 269 305 W310 X 202 W310 x 107 W310 X 97 W310 x 38.7 17.0 305 15.4 165 9.65 W250 x 115 260 22.1 W250 x 73 9290 254 8.64 254 14.2 W200 x 59 7550 210 9.14 206 14.2 W150 x 24 3060 160 6.60 102 10.3 Flange and web thicknesses may vary due to mill rolling practices. 8.89 8.00 10.0 11.4 340 20.1 312 10.9 9.91 5.84 b₁ mm² 13.5 t mm² I 106 mm 4080 7450 5370 1250 874 862 616 399 255 397 331 516 248 222 84.9 189 113 60.8 13.4 S₁ 10³ mm³ 21 mm 8410 381 15,900 389 12,400 358 4010 254 2880 246 3150 221 2290 218 1520 209 1120 183 1920 177 1840 153 3050 142 1600 135 1440 134 547 131 1410 114 895 110 582 167 89.7 66 Z₂ x 10³ mm³ 9800 18,000 14,000 4590 3280 3620 2620 1750 1280 2130 2060 3510 1770 1590 610 1600 990 652 192 ly 106 mm4 9.9 95.3 454 350 49.5 34.3 38.7 26.9 16.1 7.95 49.5 55.8 166 81.2 72.4 7.2 64.1 38.9 20.4 1.84 Sy 10³ mm³ 636 2160 1740 434 302 362 257 156 104 380 436 1050 531 477 0.20 87.5. 493 306 200 36.1 Ty mm 58.2 95.5 91.2 50.5 48.8 46.7 45.7 42.2 32.3 62.5 63 80.3 77.2 76.7 38.4 66 64.5 51.8 24.6
A W310 x97 steel wide-flange section Supports a uniformly distributed line load on a simple span of 7 m. Assume A36 steel. Calculate the allowable load
(kN/m). Neglect the weight of the beam. Use Fv=0.4 Fy
Material
Steel ASTM A36
or A501
Steel (high-strength
low-alloy) ASTM
A992
Steel AISI 1020
hot-rolled
Steel AISI 1040
hot-rolled
Stainless steel
(annealed)
Cast iron (gray)
Aluminum alloy
6061-T6
Magnesium alloy
Titanium alloy
Brass (rolled)
Bronze (cast)
Copper (hard
drawn)
Concrete
Density
kg/m³
x 10³
7.85
7.85
7.85
7.85
7.85
7.21
2.64
1.794
4.40
8.56
8.56
8.81
2.40
Mod. of Mod. of
Elasticity
E
MPa
Rigidity
G
MPa
x 10³
x 10³
207
83
207
207
207
200
103.
70
45
114
97
83
103
21.5
83
79.3
79.3
80
41
28
17
45
41
34
41
Tensile Yield
Strength
F, MPa
250
345
210
290
280
240
210
900
340
170
280
Ultimate Strength
MPa
Tens. Comp.
400
450
380
520
580
140
260
280
970
410
230
380
550
390
21
Shear
Coeff. of
Thermal
Expansion
m/m/c
x 10-6
260
11.7
11.7
11.7
Poisson's
Ratio
μ
0.25
9.9
0.25
11.7
0.25
410
11.7
0.25
220
10.6
0.26
H
190
23.6
0.33
140
26.1
0.34
690
9.7
340
18.7
0.34
18.2
0.35
16.7
0.25
0.35
0.20
Transcribed Image Text:A W310 x97 steel wide-flange section Supports a uniformly distributed line load on a simple span of 7 m. Assume A36 steel. Calculate the allowable load (kN/m). Neglect the weight of the beam. Use Fv=0.4 Fy Material Steel ASTM A36 or A501 Steel (high-strength low-alloy) ASTM A992 Steel AISI 1020 hot-rolled Steel AISI 1040 hot-rolled Stainless steel (annealed) Cast iron (gray) Aluminum alloy 6061-T6 Magnesium alloy Titanium alloy Brass (rolled) Bronze (cast) Copper (hard drawn) Concrete Density kg/m³ x 10³ 7.85 7.85 7.85 7.85 7.85 7.21 2.64 1.794 4.40 8.56 8.56 8.81 2.40 Mod. of Mod. of Elasticity E MPa Rigidity G MPa x 10³ x 10³ 207 83 207 207 207 200 103. 70 45 114 97 83 103 21.5 83 79.3 79.3 80 41 28 17 45 41 34 41 Tensile Yield Strength F, MPa 250 345 210 290 280 240 210 900 340 170 280 Ultimate Strength MPa Tens. Comp. 400 450 380 520 580 140 260 280 970 410 230 380 550 390 21 Shear Coeff. of Thermal Expansion m/m/c x 10-6 260 11.7 11.7 11.7 Poisson's Ratio μ 0.25 9.9 0.25 11.7 0.25 410 11.7 0.25 220 10.6 0.26 H 190 23.6 0.33 140 26.1 0.34 690 9.7 340 18.7 0.34 18.2 0.35 16.7 0.25 0.35 0.20
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