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a B P b X

a B P b X

Elements Of Electromagnetics
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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A simply supported steel universal I shaped beam is shown(see attached table and choose one size)

The total length is 15 meters with a concentrated force P (located at a distance a = 10 meters) created by a mass of 2000 kg. By assuming a yield strength of 350 MPa and a safety factor of 3.2 state the ergonomically suitable nominal beam size from the catalogue. 

With reference to answer describe the type of beam failure and at least one possible consequence if the I-beam size you selected is too small.

You may add additional images for illustration purposes but ensure that (a) it is described properly, and (b) it is relevant.

A a B b с X
Transcribed Image Text:A a B b с X
Welded Columns Table 11 Welded Columns - Dimensions and Properties Designation Depth of Flange Section kg/m 500 WC 440 d mm 480 414 480 383 472 340 514 290 506 267 500 228 490 400 WC 361 430 328 430 303 422 270 414 212 400 181 390 144 350 WC 280 258 230 197 382 355 347 339 331 Width b₁ mm 500 500 500 500 500 500 500 400 400 400 400 400 400 400 350 350 350 350 Thickness t₁ mm 40 40 36 32 28 25 20 40 40 36 32 25 20 20 16 40 36 32 28 Web Depth Thickness Between Flanges t mm 40 32 32 25 20 20 20 40 28 28 25 20 20 16 28 28 25 20 d חוד 400 400 400 450 450 450 450 350 350 350 350 350 350 350 275 275 275 275 le d. t 10.0 12.5 12.5 18.0 22.5 22.5 22.5 8.75 12.5 12.5 14.0 17.5 17.5 21.9 9.82 9.82 11.0 13.8 (bit) 2t, 5.75 5.85 6.50 7.42 8.57 9.60 12.0 4.50 4.65 5.17 5.86 7.60 9.50 12.0 4.03 Gross Area of Cross Section A, mm² 56000 52800 48800 43200 37000 34000 29000 46000 41800 38600 34400 27000 23000 18400 35700 4.47 32900 5.08 29300 5.89 25100 Notes 1. All welds to AS/NZS 1554.1 Category SP (deep penetration). 2. Web to flange joints develop the minimum tensile strength of a 16mm web only. 3. Flame cut surfaces not incorporated in welds have a minimum surface roughness of class 2, as defined in WTIA Technical Note 5. L 10 mm 2150 2110 1890 2050 1750 1560 1260 1360 1320 1180 1030 776 620 486 747 661 573 486 About x-axis 2, 10mm 8980 8800 7990 7980 6930 6250 5130 6340 6140 5570 4950 3880 3180 2550 4210 3810 3380 2940 S₁ 10³mm³ 10400 10100 9130 8980 7700 6950 5710 7460 7100 6420 5660 4360 3570 2830 4940 4450 3910 3350 ņ mm 196 200 197 218 218 214 208 172 178 175 173 169 164 163 145 142 140 139 AUSTRALIAN MADE I 105mm 835 834 751 667 584 521 417 429 427 385 342 267 214 171 286 258 229 200 About y-axis 2, S₁ 10³mm³ 10³mm 3340 5160 3340 5100 4600 3000 2670 4070 3540 2330 2080 1670 2140 2140 1920 1710 1411 1330 1070 854 1640 1470 1310 1140 3170 2540 3340 3270 2950 2610 2040 1640 1300 2500 2260 2000 1740 by (₂ mm 122 126 124 124 126 124 120 96.5 101 99.8 99.8 99.4 96.4 96.3 89.6 88.5 88.4 89.3 Torsion Warping Constant Constant J 10³mm 30100 10 mm 40400 40400 19900 35700 25400 13100 38800 8420 6370 3880 24800 33300 29400 23000 16300 19200 16200 14800 14300 10400 12500 9380 7310 5720 7100 6230 5400 4600 5060 3080 1580 16500 H 12700 8960 5750 Designation 500 WC 440 414 383 340 290 267 261 228 400 WC 361 328 303 270 212 181 144 350 WC 280 258 230 197
Transcribed Image Text:Welded Columns Table 11 Welded Columns - Dimensions and Properties Designation Depth of Flange Section kg/m 500 WC 440 d mm 480 414 480 383 472 340 514 290 506 267 500 228 490 400 WC 361 430 328 430 303 422 270 414 212 400 181 390 144 350 WC 280 258 230 197 382 355 347 339 331 Width b₁ mm 500 500 500 500 500 500 500 400 400 400 400 400 400 400 350 350 350 350 Thickness t₁ mm 40 40 36 32 28 25 20 40 40 36 32 25 20 20 16 40 36 32 28 Web Depth Thickness Between Flanges t mm 40 32 32 25 20 20 20 40 28 28 25 20 20 16 28 28 25 20 d חוד 400 400 400 450 450 450 450 350 350 350 350 350 350 350 275 275 275 275 le d. t 10.0 12.5 12.5 18.0 22.5 22.5 22.5 8.75 12.5 12.5 14.0 17.5 17.5 21.9 9.82 9.82 11.0 13.8 (bit) 2t, 5.75 5.85 6.50 7.42 8.57 9.60 12.0 4.50 4.65 5.17 5.86 7.60 9.50 12.0 4.03 Gross Area of Cross Section A, mm² 56000 52800 48800 43200 37000 34000 29000 46000 41800 38600 34400 27000 23000 18400 35700 4.47 32900 5.08 29300 5.89 25100 Notes 1. All welds to AS/NZS 1554.1 Category SP (deep penetration). 2. Web to flange joints develop the minimum tensile strength of a 16mm web only. 3. Flame cut surfaces not incorporated in welds have a minimum surface roughness of class 2, as defined in WTIA Technical Note 5. L 10 mm 2150 2110 1890 2050 1750 1560 1260 1360 1320 1180 1030 776 620 486 747 661 573 486 About x-axis 2, 10mm 8980 8800 7990 7980 6930 6250 5130 6340 6140 5570 4950 3880 3180 2550 4210 3810 3380 2940 S₁ 10³mm³ 10400 10100 9130 8980 7700 6950 5710 7460 7100 6420 5660 4360 3570 2830 4940 4450 3910 3350 ņ mm 196 200 197 218 218 214 208 172 178 175 173 169 164 163 145 142 140 139 AUSTRALIAN MADE I 105mm 835 834 751 667 584 521 417 429 427 385 342 267 214 171 286 258 229 200 About y-axis 2, S₁ 10³mm³ 10³mm 3340 5160 3340 5100 4600 3000 2670 4070 3540 2330 2080 1670 2140 2140 1920 1710 1411 1330 1070 854 1640 1470 1310 1140 3170 2540 3340 3270 2950 2610 2040 1640 1300 2500 2260 2000 1740 by (₂ mm 122 126 124 124 126 124 120 96.5 101 99.8 99.8 99.4 96.4 96.3 89.6 88.5 88.4 89.3 Torsion Warping Constant Constant J 10³mm 30100 10 mm 40400 40400 19900 35700 25400 13100 38800 8420 6370 3880 24800 33300 29400 23000 16300 19200 16200 14800 14300 10400 12500 9380 7310 5720 7100 6230 5400 4600 5060 3080 1580 16500 H 12700 8960 5750 Designation 500 WC 440 414 383 340 290 267 261 228 400 WC 361 328 303 270 212 181 144 350 WC 280 258 230 197
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