A W310×107 beam is supported on simple supports with a 9m span. Calculate the allowable shear VR and assume that Fy=345Mpa. Designation mm x kg/m Z, x 10 mm 10 mm 10° mm mm mm mm mm mm 10 mm 10' 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 x 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 x 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 × 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.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A W310x107 beam is supported on simple supports with a 9m span. Calculate the allowable shear VR and assume that Fy=345Mpa.
Designation
mm x kg/m
Z, x 103
mm3
A
tw
bp
mm?
S,
103 mm3
Iy
106 mm4
S,
103 mm3
mm
mm
mm
mm
106 mm4
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 x 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 x 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. 734 KN
Ob.469 KN
O c. 943 KN
Transcribed Image Text:A W310x107 beam is supported on simple supports with a 9m span. Calculate the allowable shear VR and assume that Fy=345Mpa. Designation mm x kg/m Z, x 103 mm3 A tw bp mm? S, 103 mm3 Iy 106 mm4 S, 103 mm3 mm mm mm mm 106 mm4 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 x 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 x 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. 734 KN Ob.469 KN O c. 943 KN
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