A simple beam with an overhang is subjected to a point load P = 16.5 kN. P A B L -L- If the maximum allowable deflection at point C is 0.5 mm, select the lightest W360 section from this table that can be used for the beam. Assume that L = 3 m and ignore the distributed weight of the beam. (Solve this problem using available deflection formulas. All beams have constant flexural rigidity EI.) w 360x179 O w 360x122 W 360x79 O w 360x39

Structural Analysis
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Chapter2: Loads On Structures
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A simple beam with an overhang is subjected to a point load P = 16.5 kN.
A
В
C
L
2
If the maximum allowable deflection at point C is 0.5 mm, select the lightest W360 section from this table that can be used
for the beam. Assume that L = 3 m and ignore the distributed weight of the beam. (Solve this problem using available
deflection formulas. All beams have constant flexural rigidity EI.)
O w 360x179
O w 360x122
W 360x79
W 360x39
Transcribed Image Text:A simple beam with an overhang is subjected to a point load P = 16.5 kN. A В C L 2 If the maximum allowable deflection at point C is 0.5 mm, select the lightest W360 section from this table that can be used for the beam. Assume that L = 3 m and ignore the distributed weight of the beam. (Solve this problem using available deflection formulas. All beams have constant flexural rigidity EI.) O w 360x179 O w 360x122 W 360x79 W 360x39
Designation Meter Area Depth ness |Width| ness
S
r
kg mm?| mm
W 760 × 314 314 40100
W 760 x 196 196 25100
|× 10°mm × 10?mm mm x 10°mm × 10?mm mm
mm
mm
mm
328
310
88.6
57.2
785 19.7
384
33.5
4290
10900
315
1640
770
15.6
267
25.4
2400
6230
81.6
610
W 610 × 241 241
W 610 × 140 140
30800
635
17.9
330
31.0
2150
6780
264
184
1120
77.5
17900
617
13.1
230
22.2
1120
3640
251
45.4
393
50.3
W 460 x 177 177
W 460 x 106 106
201
191
22600
68.3
43.2
483
16.6
287
26.9
912
3790
105
736
13400
470
12.6
194
20.6
487
2080
25.1
259
63.8
62.7
W 410 x 149 149
W 410 × 114 114
W 410 × 85
W 410 × 46.1 46.1 5890
19000
432
14.9
264
25.0
620
2870
180
77.4
585
14600
419
11.6
262
19.3
462
2200
178
57.4
441
85.0 10800
417
10.9
181
18.2
316
1510
171
17.9
198
40.6
404
6.99
140
11.2
156
773
163
5.16
73.6
29.7
W 360 x 179 179
W 360 × 122 122
W 360 x 79
W 360 x 39
22800
158
95.0
63.0
48.8
368
15.0
373
23.9
574
3110
206
1110
15500
363
13.0
257
21.7
367
2020
154
61.6
480
79.0 10100
39.0 4960
353
9.40
205
16.8
225
1270
150
24.0
234
353
6.48
128
10.7
102
578
144
3.71
58.2
27.4
W 310 × 129 129
W 310 × 74
W 310 × 52
W 310 x 21
16500
318
13.1
307
20.6
308
1930
137
100
651
78.0
74.0 9420
310
9.40
205
16.3
163
1050
132
23.4
228
49.8
52.0 6650
39.1
19.1
318
7.62
167
13.2
119
747
133
10.2
122
21.0 2680
302
5.08
101
5.72
36.9
244
117
0.982
19.5
89.0 11400
W 250 x 89
W 250 × 67
112
110
111
65.3
51.1
34.8
19.9
259
10.7
257
17.3
142
1090
48.3
377
67.0 8580
W 250 x 44.8 44.8 5700
W 250 x 17.9 17.9 2280
257
8.89
204
15.7
103
805
22.2
218
267
7.62
148
13.0
70.8
531
6.95
94.2
251
4.83
101
5.33
22.4
179
99.1
0.907
18.0
W 200 × 52
W 200 × 41.7
W 200 × 31.3
W 200 × 22.5
52.0 6650
206
7.87
204
12.6
52.9
511
89.2
17.7
174
51.6
41.7
5320
205
7.24
166
11.8
40.8
398
87.6
9.03
109
41.1
31.3
3970
210
6.35
134
10.2
31.3
298
88.6
4.07
60.8
32.0
22.5
2860
206
6.22
102
8.00
20.0
193
83.6
1.42
27.9
22.3
EN Oxes 1-1 and 2-2 are principal centroidal axes.
Transcribed Image Text:Designation Meter Area Depth ness |Width| ness S r kg mm?| mm W 760 × 314 314 40100 W 760 x 196 196 25100 |× 10°mm × 10?mm mm x 10°mm × 10?mm mm mm mm mm 328 310 88.6 57.2 785 19.7 384 33.5 4290 10900 315 1640 770 15.6 267 25.4 2400 6230 81.6 610 W 610 × 241 241 W 610 × 140 140 30800 635 17.9 330 31.0 2150 6780 264 184 1120 77.5 17900 617 13.1 230 22.2 1120 3640 251 45.4 393 50.3 W 460 x 177 177 W 460 x 106 106 201 191 22600 68.3 43.2 483 16.6 287 26.9 912 3790 105 736 13400 470 12.6 194 20.6 487 2080 25.1 259 63.8 62.7 W 410 x 149 149 W 410 × 114 114 W 410 × 85 W 410 × 46.1 46.1 5890 19000 432 14.9 264 25.0 620 2870 180 77.4 585 14600 419 11.6 262 19.3 462 2200 178 57.4 441 85.0 10800 417 10.9 181 18.2 316 1510 171 17.9 198 40.6 404 6.99 140 11.2 156 773 163 5.16 73.6 29.7 W 360 x 179 179 W 360 × 122 122 W 360 x 79 W 360 x 39 22800 158 95.0 63.0 48.8 368 15.0 373 23.9 574 3110 206 1110 15500 363 13.0 257 21.7 367 2020 154 61.6 480 79.0 10100 39.0 4960 353 9.40 205 16.8 225 1270 150 24.0 234 353 6.48 128 10.7 102 578 144 3.71 58.2 27.4 W 310 × 129 129 W 310 × 74 W 310 × 52 W 310 x 21 16500 318 13.1 307 20.6 308 1930 137 100 651 78.0 74.0 9420 310 9.40 205 16.3 163 1050 132 23.4 228 49.8 52.0 6650 39.1 19.1 318 7.62 167 13.2 119 747 133 10.2 122 21.0 2680 302 5.08 101 5.72 36.9 244 117 0.982 19.5 89.0 11400 W 250 x 89 W 250 × 67 112 110 111 65.3 51.1 34.8 19.9 259 10.7 257 17.3 142 1090 48.3 377 67.0 8580 W 250 x 44.8 44.8 5700 W 250 x 17.9 17.9 2280 257 8.89 204 15.7 103 805 22.2 218 267 7.62 148 13.0 70.8 531 6.95 94.2 251 4.83 101 5.33 22.4 179 99.1 0.907 18.0 W 200 × 52 W 200 × 41.7 W 200 × 31.3 W 200 × 22.5 52.0 6650 206 7.87 204 12.6 52.9 511 89.2 17.7 174 51.6 41.7 5320 205 7.24 166 11.8 40.8 398 87.6 9.03 109 41.1 31.3 3970 210 6.35 134 10.2 31.3 298 88.6 4.07 60.8 32.0 22.5 2860 206 6.22 102 8.00 20.0 193 83.6 1.42 27.9 22.3 EN Oxes 1-1 and 2-2 are principal centroidal axes.
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