Select the lightest W310 that can resist the given loads as shown in the figure. Use the table below, with the x-axis.

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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Question
5) Select the lightest W310 that can resist the given loads as shown in the
figure. Use the table below, with the x-axis.
Answer:
30 kN/m
16 KN
B
A
E
zaburzum
4.00m
2.00m
20 kN
2.00m
D
1.50m
Transcribed Image Text:5) Select the lightest W310 that can resist the given loads as shown in the figure. Use the table below, with the x-axis. Answer: 30 kN/m 16 KN B A E zaburzum 4.00m 2.00m 20 kN 2.00m D 1.50m
WWW
Designation
3333
mm x kg/m
W
310 x 500
W 12 x
W
310 x
454
W 12 x
W
310 x
415
W 12 x
W
310 x 375
W
12 x
W
310 x
342
W
12 x
W
310 x
313
W
12 x
W
310 x 283
W
12 X
W
310 x
253
W
12 x
W
310 x
226
W
12 x
W
310 x
202
W
12 x
W
310 x
179
W
12 x
W
310 x
158
W
12 X
W
310 x
143
W
12 X
W
310 x
129
W
12 x
W
310 x
117
W
12 x
W
310 x
107
W
12 x
W
310 x
97
W
12 x
W
310 x
86
W
12 x
W
310 x
79
W 12 x
W
310 x
74
W
12 x
W
310 x
67
W
12 x
W 310 x
60
W
12 x
310 x
52
W
12 X
310 x
45 W
12 x
310 x
W
12 X
310 x
W 12 X
310 x
W 12 x
310 x
24 W
12 x
W 310 x
21 W
12 x
For application refer to Notes in Table 1.
8335
in. x lb/ft
28
Prepared by:
Engr. Reyno N. Ramos
Nom-
mpacl
inal
Section
Mass
Criteria
per bt he Fy"
Meter 2ff tw N
kg/m
500 2.3 5.5
454 2.4 6.0
415 2.7 6.3
375 2.9 7.0
342 3.1 7.6
313 3.4 8.2
283 3.7 9.2
253 4.0 10.1
226 4.5 112
202 5.0 12.3
179 5.6 13.7
6.2 15.9
158
143
6.8 17.7
129 7.5 18.9
117
8.2 20.7
107 9.0 22.6
97 9.9 24.9
86 7.8 27.0
79 8.7 28.1
74 6.3 26.2
67 7.0 29.0
650 7.8 32.9 407
52 6.3 36.2 338
45 7.4 41.8 255
39 8.5 47.2 200
33 4.7 41.8 255
28 5.7 46.2 207
24 7.5 49.4 179
21 8.8 54.3 152
336
305
279
252
230
210
190
170
152
136
120
106
96
87
79
72
65
58
53
50
45
40
35
30
26
|||||||
2964
22
19
16
Flange
Distance
Area Depth Thick-
tw Width Thick- TKK₁
A
d
ness
2
bi ness
tw
tr
mm²
mm
mm
mm
mm mm
mm mm
45.10 22.55 340.0
41.30 20.65 336.0
75.1 239 94
68.7 241
241
38.90 19.45 334.0 62.7
35.40 17.70 330.0
32.60 16.30 328.0
57.2
241
52.6 242
30.00 15.00 325.0 48.3 240
26.90 13.45 322.0
44.1 241
39.6
242
24.40 12.20 319.0
22.10
11.05 317.0
20.10 10.05 315.0
35.6 240
31.8 243
28.1 241
25.1 241
18.00
9.00 313.0
15.50
7.75 310.0
7.00 309.0 22.9
241
20.6 242
14.00
13.10 6.55 308.0
11.90 5.95 307.0
10.90 5.45 306.0
9.91 4.96 305.0
240
37
18.7
17.0
15.4
241 35
242
16.3 240 35
9.14 4.57 254.0
8.76 4.38 254.0
14.6 242 32
9.40 4.70 205.0
16.3 240 35
8.51
4.26 204.0
14.6 242
7.49
3.75 203.0
13.1 239
7.62
13.2 268
3.81 167.0
6.60 3.30 166.0
11.2 265
9.7 266
5.84
2.92
165.0
6.60
3.30 102.0 10.8 269
5.97
2.99 102.0
8.9 267
5.59
2.80 101.0 6.7 267
5.08 2.54 101.0
5.7 269
17
Noted by:
Engr. Resurreccion V. Garrote
63 700
427
57 800
415
52 800
403
391
47 800
43 700
382
39 900
374
36 000
365
32 300
356
28900
348
25 800
341
22 800
333
20 100
327
18200
323
16500 318
15000 314
13600 311
308
12300
11000
310
10000
306
9480
310
8530
306
7600
303
6670
318
5670 313
4930
310
4180
313
3600
309
3040
305
2680 303
Web
Axis X-X
חח
Properties
SKRI9=85 NN NN
70
87 36
81 35
75
67
62
57
54
49
46
43
41
38
32
32
33 20
25
24
22
NARE
22
8888888*** 28 299 === ==99
21
38
19
33
20
Elastic
Axis Y-Y
X₂
1
Sr
S
r Zx
Zy
N
10mm
mm² mm²
N² 105mm 10mm³ mm 10 mm 10 mm³ mm 10 mm 10 mm³
7920 163 494
88 300
81400
75 800
17
23
31
41
13 1690
1480
1300
1130
1010
896
787
69 600
64700
59 800
2910 88.1 9880 4490
2600 86.9 8820 4000
2340 86.1 7900 3610
2080 84.8 7000 3210
1890 842 6330
7130 160 436
6450 157 391
5780 154 344
5290 152 310
4790 150 277
2910
56
1700 83.3 5720
2620
54700
78
4310 148 246
1530 82.7 5100
2340
49 600
114
682
3830 145 215
1350 81.6 4490 2060
44 900
167
596
3430 144 189
40 300
250
520
1050 80.2 3510
36100 387
445
1190 80.9 3980 1830
1610
920 79.5 3050 1400
78.9 2670 1220
78.8 2420
32100 600
386
29 300
852
348
1110
3050 142 166
2670 140 144
2360 139 125
2150 138 113
1940 137 100
135 90.2
136
81.2
1440 134 72.9
26 800
1230
308
991
806
731
649 77.8 2160
588
531
478 77.0 1590
24 300
1760
275
1750
77.5 1960
893
22 300
2480
248 1590
77.3 1770
806
20300 3620
222
725
199
1280 135 44.6
1420
533
21200 3090
19400 4420
351
63.7
314 63.2 1280
177
1160
133 39.9
478
165
228 49.7 1190
350
21900 2970
19800 4350
17800 6540
145
1060
948
851
132 23.4
130 20.7
130 18.3
310
203 49.3 1060
180 49.1 941
129
275
189
16700 9130
14400 16700
12500 29 200
119 748 134 10.3
99.2 634 132 8.55
84.8 547 131 7.23
123 39.3 841
103 38.8 708
87.6 38.3
158
609
134
480
406
14900 18200
13000 32 800
11100 67 300
10002 104000
65.0 415 125 1.92 37.6 21.4
54.2 351 123 1.58 31.0 20.9
42.8 281 119 1.16 23.0 19.5
37.0 244 117 0.986 19.5 19.2
329
287
20
10
Plastic
Modulus
59.6
49.1
36.8
31.2
Transcribed Image Text:WWW Designation 3333 mm x kg/m W 310 x 500 W 12 x W 310 x 454 W 12 x W 310 x 415 W 12 x W 310 x 375 W 12 x W 310 x 342 W 12 x W 310 x 313 W 12 x W 310 x 283 W 12 X W 310 x 253 W 12 x W 310 x 226 W 12 x W 310 x 202 W 12 x W 310 x 179 W 12 x W 310 x 158 W 12 X W 310 x 143 W 12 X W 310 x 129 W 12 x W 310 x 117 W 12 x W 310 x 107 W 12 x W 310 x 97 W 12 x W 310 x 86 W 12 x W 310 x 79 W 12 x W 310 x 74 W 12 x W 310 x 67 W 12 x W 310 x 60 W 12 x 310 x 52 W 12 X 310 x 45 W 12 x 310 x W 12 X 310 x W 12 X 310 x W 12 x 310 x 24 W 12 x W 310 x 21 W 12 x For application refer to Notes in Table 1. 8335 in. x lb/ft 28 Prepared by: Engr. Reyno N. Ramos Nom- mpacl inal Section Mass Criteria per bt he Fy" Meter 2ff tw N kg/m 500 2.3 5.5 454 2.4 6.0 415 2.7 6.3 375 2.9 7.0 342 3.1 7.6 313 3.4 8.2 283 3.7 9.2 253 4.0 10.1 226 4.5 112 202 5.0 12.3 179 5.6 13.7 6.2 15.9 158 143 6.8 17.7 129 7.5 18.9 117 8.2 20.7 107 9.0 22.6 97 9.9 24.9 86 7.8 27.0 79 8.7 28.1 74 6.3 26.2 67 7.0 29.0 650 7.8 32.9 407 52 6.3 36.2 338 45 7.4 41.8 255 39 8.5 47.2 200 33 4.7 41.8 255 28 5.7 46.2 207 24 7.5 49.4 179 21 8.8 54.3 152 336 305 279 252 230 210 190 170 152 136 120 106 96 87 79 72 65 58 53 50 45 40 35 30 26 ||||||| 2964 22 19 16 Flange Distance Area Depth Thick- tw Width Thick- TKK₁ A d ness 2 bi ness tw tr mm² mm mm mm mm mm mm mm 45.10 22.55 340.0 41.30 20.65 336.0 75.1 239 94 68.7 241 241 38.90 19.45 334.0 62.7 35.40 17.70 330.0 32.60 16.30 328.0 57.2 241 52.6 242 30.00 15.00 325.0 48.3 240 26.90 13.45 322.0 44.1 241 39.6 242 24.40 12.20 319.0 22.10 11.05 317.0 20.10 10.05 315.0 35.6 240 31.8 243 28.1 241 25.1 241 18.00 9.00 313.0 15.50 7.75 310.0 7.00 309.0 22.9 241 20.6 242 14.00 13.10 6.55 308.0 11.90 5.95 307.0 10.90 5.45 306.0 9.91 4.96 305.0 240 37 18.7 17.0 15.4 241 35 242 16.3 240 35 9.14 4.57 254.0 8.76 4.38 254.0 14.6 242 32 9.40 4.70 205.0 16.3 240 35 8.51 4.26 204.0 14.6 242 7.49 3.75 203.0 13.1 239 7.62 13.2 268 3.81 167.0 6.60 3.30 166.0 11.2 265 9.7 266 5.84 2.92 165.0 6.60 3.30 102.0 10.8 269 5.97 2.99 102.0 8.9 267 5.59 2.80 101.0 6.7 267 5.08 2.54 101.0 5.7 269 17 Noted by: Engr. Resurreccion V. Garrote 63 700 427 57 800 415 52 800 403 391 47 800 43 700 382 39 900 374 36 000 365 32 300 356 28900 348 25 800 341 22 800 333 20 100 327 18200 323 16500 318 15000 314 13600 311 308 12300 11000 310 10000 306 9480 310 8530 306 7600 303 6670 318 5670 313 4930 310 4180 313 3600 309 3040 305 2680 303 Web Axis X-X חח Properties SKRI9=85 NN NN 70 87 36 81 35 75 67 62 57 54 49 46 43 41 38 32 32 33 20 25 24 22 NARE 22 8888888*** 28 299 === ==99 21 38 19 33 20 Elastic Axis Y-Y X₂ 1 Sr S r Zx Zy N 10mm mm² mm² N² 105mm 10mm³ mm 10 mm 10 mm³ mm 10 mm 10 mm³ 7920 163 494 88 300 81400 75 800 17 23 31 41 13 1690 1480 1300 1130 1010 896 787 69 600 64700 59 800 2910 88.1 9880 4490 2600 86.9 8820 4000 2340 86.1 7900 3610 2080 84.8 7000 3210 1890 842 6330 7130 160 436 6450 157 391 5780 154 344 5290 152 310 4790 150 277 2910 56 1700 83.3 5720 2620 54700 78 4310 148 246 1530 82.7 5100 2340 49 600 114 682 3830 145 215 1350 81.6 4490 2060 44 900 167 596 3430 144 189 40 300 250 520 1050 80.2 3510 36100 387 445 1190 80.9 3980 1830 1610 920 79.5 3050 1400 78.9 2670 1220 78.8 2420 32100 600 386 29 300 852 348 1110 3050 142 166 2670 140 144 2360 139 125 2150 138 113 1940 137 100 135 90.2 136 81.2 1440 134 72.9 26 800 1230 308 991 806 731 649 77.8 2160 588 531 478 77.0 1590 24 300 1760 275 1750 77.5 1960 893 22 300 2480 248 1590 77.3 1770 806 20300 3620 222 725 199 1280 135 44.6 1420 533 21200 3090 19400 4420 351 63.7 314 63.2 1280 177 1160 133 39.9 478 165 228 49.7 1190 350 21900 2970 19800 4350 17800 6540 145 1060 948 851 132 23.4 130 20.7 130 18.3 310 203 49.3 1060 180 49.1 941 129 275 189 16700 9130 14400 16700 12500 29 200 119 748 134 10.3 99.2 634 132 8.55 84.8 547 131 7.23 123 39.3 841 103 38.8 708 87.6 38.3 158 609 134 480 406 14900 18200 13000 32 800 11100 67 300 10002 104000 65.0 415 125 1.92 37.6 21.4 54.2 351 123 1.58 31.0 20.9 42.8 281 119 1.16 23.0 19.5 37.0 244 117 0.986 19.5 19.2 329 287 20 10 Plastic Modulus 59.6 49.1 36.8 31.2
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