. Select the lightest wide-flange beam that can be used to support the loading shownbelow, if the allowable flexural stress is 150 MPa and the allowable shearing stress is100 MPa.3 kN/m10 m15 kN TABLE A-2 Wide-Flange Beams (SI Units)Desig-nationW914 x 342X 238W838 X 299X 226X 193W762 X 196X 161W686 X 217X 140W610 X 155X 125× 92W533 X 150X 124X 92W457 X 144X 113X 89W406 X 149X 100x 60X 39W356 X 179x 122X 64X 45W305 X 143X 97X 74X 45W254 x 89X 67X 45X 33W203 X 60X 46X 36X 22Arca(mm²)436103032538130288502471025100204502767517870197401593511750192251567511805183651438511355189701271076154950227751555081305710181951232594855670113558580570541857550589045702865H4735306030202470DepthWidth(mm) (mm)912915855851840770758695684611612603543544533472463463431415407399368363347352323308310313260257266258210203201206162160127106418305400294292268266355254324229179312212209283280192265260178140373257203171FLANGE309305205166256204148146205203165102154102127103Thick-ness(mm)32.025.929.226.821.725.419.324.818.919.119.615.020.321.215.622.117.317.725.016.912.88.823.921.713.59.822.915.416.311.217.315.713.09.1.14.211.010.28.0WebThick-DOSS(mm)11.610.39.18.819.316.518.216.114.715.613.815.412.412.711.910.912.713.110.213.610.810.514.910.07.76.415.013.07.76.914.09.99.46.610.78.97.66.19.17.26.26.2I(106mm¹)8.16.66.17.16245406047853395279524001860234513601290985645100576255472855441062039721612557436717812134722216499.114210370.849.160.845.834.520.022.213.4AXIS X-XS(10³min³)8.874.701371588801121079806655622549006735398042303210214537202800208030802395177028701915106062.9W152 X 37X 24W127 X 24W102 X 19*W means wide-flange beam, followed by the nominal depth in mm, then the mass in kg per meter of length.311520151025688214514401060633109580553138058245134219327416713989.5XI--X(mm)37836635634333531030229027725724923422922021719919619018017716815915815414814613813413213211211011110889.788.186.783.668.666.054.143.71(106mm¹)39112331211490.781.660.818451.610839.314.410333.923.983.763.320.977.449.512.03.9920661.618.88.1611272.423.48.4548.322.26.954.7520.415.47.611.427.121.843.131.61AXIS Y-YS(10³mm³).187080515607756206104571040406667342161660320228592452218585380135$7.2110548018595.472847722810237721820015294.265.192.327.991.936.149.231.18(mm)94.763.590.462.760.757.254.6.81.553.873.949.535.173.446.545.067.366342.938.624.632.325.464.062.539.928.451.851.340.922.395.063.048.037.878.576.749.838.665.351.134.833.8

Answered: Image /qna-images/answer/1b855718-21ae-44d2-a737-8b112ab4e4d8.jpg

Select the lightest wide-flange beam that can be used to support the loading shown below, if the allowable flexural stress is 150 MPa and the allowable shearing stress is 100 MPa. I 3 kN/m Y Y 10 m 15 kN

Select the lightest wide-flange beam that can be used to support the loading shown below, if the allowable flexural stress is 150 MPa and the allowable shearing stress is 100 MPa. I 3 kN/m Y Y 10 m 15 kN

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

. Select the lightest wide-flange beam that can be used to support the loading shown
below, if the allowable flexural stress is 150 MPa and the allowable shearing stress is
100 MPa.
3 kN/m
10 m
15 kN

TABLE A-2 Wide-Flange Beams (SI Units)
Desig-
nation
W914 x 342
X 238
W838 X 299
X 226
X 193
W762 X 196
X 161
W686 X 217
X 140
W610 X 155
X 125
× 92
W533 X 150
X 124
X 92
W457 X 144
X 113
X 89
W406 X 149
X 100
x 60
X 39
W356 X 179
x 122
X 64
X 45
W305 X 143
X 97
X 74
X 45
W254 x 89
X 67
X 45
X 33
W203 X 60
X 46
X 36
X 22
Arca
(mm²)
43610
30325
38130
28850
24710
25100
20450
27675
17870
19740
15935
11750
19225
15675
11805
18365
14385
11355
18970
12710
7615
4950
22775
15550
8130
5710
18195
12325
9485
5670
11355
8580
5705
4185
7550
5890
4570
2865
H
4735
3060
3020
2470
Depth
Width
(mm) (mm)
912
915
855
851
840
770
758
695
684
611
612
603
543
544
533
472
463
463
431
415
407
399
368
363
347
352
323
308
310
313
260
257
266
258
210
203
201
206
162
160
127
106
418
305
400
294
292
268
266
355
254
324
229
179
312
212
209
283
280
192
265
260
178
140
373
257
203
171
FLANGE
309
305
205
166
256
204
148
146
205
203
165
102
154
102
127
103
Thick-
ness
(mm)
32.0
25.9
29.2
26.8
21.7
25.4
19.3
24.8
18.9
19.1
19.6
15.0
20.3
21.2
15.6
22.1
17.3
17.7
25.0
16.9
12.8
8.8
23.9
21.7
13.5
9.8
22.9
15.4
16.3
11.2
17.3
15.7
13.0
9.1.
14.2
11.0
10.2
8.0
Web
Thick-
DOSS
(mm)
11.6
10.3
9.1
8.8
19.3
16.5
18.2
16.1
14.7
15.6
13.8
15.4
12.4
12.7
11.9
10.9
12.7
13.1
10.2
13.6
10.8
10.5
14.9
10.0
7.7
6.4
15.0
13.0
7.7
6.9
14.0
9.9
9.4
6.6
10.7
8.9
7.6
6.1
9.1
7.2
6.2
6.2
I
(106
mm¹)
8.1
6.6
6.1
7.1
6245
4060
4785
3395
2795
2400
1860
2345
1360
1290
985
645
1005
762
554
728
554
410
620
397
216
125
574
367
178
121
347
222
164
99.1
142
103
70.8
49.1
60.8
45.8
34.5
20.0
22.2
13.4
AXIS X-X
S
(10³
min³)
8.87
4.70
13715
8880
11210
7980
6655
6225
4900
6735
3980
4230
3210
2145
3720
2800
2080
3080
2395
1770
2870
1915
1060
62.9
W152 X 37
X 24
W127 X 24
W102 X 19
*W means wide-flange beam, followed by the nominal depth in mm, then the mass in kg per meter of length.
3115
2015
1025
688
2145
1440
1060
633
1095
805
531
380
582
451
342
193
274
167
139
89.5
X
I
--X
(mm)
378
366
356
343
335
310
302
290
277
257
249
234
229
220
217
199
196
190
180
177
168
159
158
154
148
146
138
134
132
132
112
110
111
108
89.7
88.1
86.7
83.6
68.6
66.0
54.1
43.7
1
(106
mm¹)
391
123
312
114
90.7
81.6
60.8
184
51.6
108
39.3
14.4
103
33.9
23.9
83.7
63.3
20.9
77.4
49.5
12.0
3.99
206
61.6
18.8
8.16
112
72.4
23.4
8.45
48.3
22.2
6.95
4.75
20.4
15.4
7.61
1.42
7.12
1.84
3.13
1.61
AXIS Y-Y
S
(10³
mm³).
1870
805
1560
775
620
610
457
1040
406
667
342
161
660
320
228
592
452
218
585
380
135
$7.2
1105
480
185
95.4
728
477
228
102
377
218
200
152
94.2
65.1
92.3
27.9
91.9
36.1
49.2
31.1
8
(mm)
94.7
63.5
90.4
62.7
60.7
57.2
54.6.
81.5
53.8
73.9
49.5
35.1
73.4
46.5
45.0
67.3
663
42.9
38.6
24.6
32.3
25.4
64.0
62.5
39.9
28.4
51.8
51.3
40.9
22.3
95.0
63.0
48.0
37.8
78.5
76.7
49.8
38.6
65.3
51.1
34.8
33.8

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