A 10-m beam simply supported at the ends carries a uniformly distributed load of 14 kN/m over its entire length. What is the lightest W shape beam that will not exceed a flexural stress of 120 MPa? What is the actual maximum stress in the beam selected. Choose only from the sections in the table below

Structural Analysis
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Chapter2: Loads On Structures
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A 10-m beam simply supported at the ends carries a uniformly distributed load of 14 kN/m over its entire length. What is the lightest W shape beam that will not exceed a flexural stress of 120 MPa? What is the actual maximum stress in the beam selected. Choose only from the sections in the table below. (
560
TABLE B-2 PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES): SI UNITS (Continued)
Flange
Web
Theoretical
mass
I
(10⁰
Area Depth Width Thickness
Thickness
Designation
(kg/m)
(mm²)
(mm) (mm)
(mm)
(mm)
mm")
W250 X167
289
265
300
X149
282
263
259
X131
275
261
221
X115
269
259
189
X101
264
257
164
X89
260
256
143
X80
256
255
126
X73
253
254
113
X67
257
204
104
X58
252
203
X49
247
202
X45
266
148
X39
262
147
X33
258
146
X28
260
102
X25
257
102
X22
254
102
X18
251
101
167.4
148.9
131.1
114.8
101.2
89.6
80.1
72.9
67.1
58.2
49.0
44.9
38.7
32.7
28.5
25.3
22.4
17.9
21 300
19 000
16 700
14.600
12 900
11 400
10 200
9 280
8 550
7 420
6 250
5 720
4 920
4 170
3 630
3 230
2 850
2 270
31.8
28.4
25.1
22.1
19.6
17.3
15.6
14.2
15.7
13.5
11.0
13.0
11.2
9.1
10.0
8.4
6.9
5.3
19.2
17.3
15.4
13.5
11.9
10.7
9.4
8.6
8.9
8.0
7.4
7.6
6.6
6.1
6.4
6.1
5.8
4.8
87.3
70.6
71.1
60.1
48.9
40.0
34.2
28.9
22.4
Axis X-X
!
S=
C
(10³ mm³)
2 080
1840
1610
1410
1 240
1 100
982
891
806
693
572
534
459
379
307
266
227
179
- VIJA
(mm)
119
117
115
114
113
112
111
110
110
108
106
111
111
108
105
103
101
99.3
Transcribed Image Text:560 TABLE B-2 PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES): SI UNITS (Continued) Flange Web Theoretical mass I (10⁰ Area Depth Width Thickness Thickness Designation (kg/m) (mm²) (mm) (mm) (mm) (mm) mm") W250 X167 289 265 300 X149 282 263 259 X131 275 261 221 X115 269 259 189 X101 264 257 164 X89 260 256 143 X80 256 255 126 X73 253 254 113 X67 257 204 104 X58 252 203 X49 247 202 X45 266 148 X39 262 147 X33 258 146 X28 260 102 X25 257 102 X22 254 102 X18 251 101 167.4 148.9 131.1 114.8 101.2 89.6 80.1 72.9 67.1 58.2 49.0 44.9 38.7 32.7 28.5 25.3 22.4 17.9 21 300 19 000 16 700 14.600 12 900 11 400 10 200 9 280 8 550 7 420 6 250 5 720 4 920 4 170 3 630 3 230 2 850 2 270 31.8 28.4 25.1 22.1 19.6 17.3 15.6 14.2 15.7 13.5 11.0 13.0 11.2 9.1 10.0 8.4 6.9 5.3 19.2 17.3 15.4 13.5 11.9 10.7 9.4 8.6 8.9 8.0 7.4 7.6 6.6 6.1 6.4 6.1 5.8 4.8 87.3 70.6 71.1 60.1 48.9 40.0 34.2 28.9 22.4 Axis X-X ! S= C (10³ mm³) 2 080 1840 1610 1410 1 240 1 100 982 891 806 693 572 534 459 379 307 266 227 179 - VIJA (mm) 119 117 115 114 113 112 111 110 110 108 106 111 111 108 105 103 101 99.3
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