TABLAS

TABLA 1 SOLDADURA

TABLA 2 TORNILLOS Tensin f n ( MPa ) 620 780 Corte fn ( Mpa ) X 415 520 N 330 415 A-36 G-50

TABLA 3 PLACA EXTREMA O PERFIL

Design.

fEXX ( Kg/mm 2 )

Design.

Design.

Fy ( MPa )

Fu ( Mpa )

Factor

E60XX E70XX

42.19 49.23

A325 A490

253 352

408 492

1.5 1.1

d ( mm ) 1 1/2 1-1/4 1-1/8 3/4 3/8 5/8 7/8 25.4 12.7 31.75 28.575 19.05 9.525 15.875 22.225

A ( mm ) 507 127 792 641 285 71 198 388

2

TABLA 4 Le ( mm ) s ( mm ) 45 25 60 55 35 20 30 40 76 38 95 86 57 29 48 67

Lt ( mm ) 96 81 105 102 89 77 86 93

Tm A325 (kN) Tm A490 (kN) 225 55 315 250 120 30 80 170 285 70 450 350 160 40 110 215

a 50 30 60 56 42 26 34 44

Platina en " 0.1875 0.25 0.3125 0.375 0.5 0.625 0.75 1 1.125 1.25

e ( mm ) PL 3/16" PL 1/4" PL 5/16" PL 3/8" PL 1/2" PL 5/8" PL 3/4" PL 1" PL 1-1/8" PL 1-1/4"

TABLA 5 Platina en mm 0.1875 0.2500 0.3125 0.3750 0.5000 0.6250 0.7500 1.0000 1.1250 1.2500 PL 4.5 mm PL 6 mm PL 8 mm PL 9 mm PL 12 mm PL 15 mm PL 19 mm PL 25 mm PL 28 mm PL 32 mm 0 4.5 6.0 8.0 9.0 12.0 15.0 19.0 25.0 28.0 32.0 35.0 38.0 50.0 63.0 75.0 89.0 100.0

e ( mm ) 4.5 6.0 8.0 9.0 12.0 15.0 19.0 25.0 28.0 32.0 35.0 38.0 50.0 63.0 75.0 89.0 100.0 "No existe" 1 1.25 1.5 1.75 2 2.25 2.5 2.75 3 3.25 3.5 3.75 4 4.25 4.5 4.75 5 5.25 5.5 5.75 6 6.25 6.5 6.75 7

TABLA7 Cdigo 1 2 3 4 Viga 1.38 1.26 1.48 1.34 Descrip Viga A-36 y Placa A-36 Viga A-36 y Placa G-50 Viga G-50 y Placa A-36 Viga G-50 y Placa G-50

TABLA 6 0 25 32 38 44 51 57 64 70 76 83 89 95 102 108 114 121 127 133 140 146 152 159 165 171 177.8

1" 1-1/4" 1-1/2" 1-3/4" 2" 2-1/4" 2-1/2" 2-3/4" 3" 3-1/4" 3-1/2" 3-3/4" 4" 4-1/4" 4-1/2" 4-3/4" 5" 5-1/4" 5-1/2" 5-3/4" 6" 6-1/4" 6-1/2" 6-3/4" 7" NO PASA

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TABLAS

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TABLAS

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TABLAS

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TABLAS

TABLA 6PESO DESIGNACION kg/m DIMENSIONES ALMA ALETAS h tw bf tf mm mm mm mm SECCION TOTAL AREA Ix cm2 cm4 EJE X-X Sx cm3 rx cm Iy cm4 EJE Y-Y Sy cm3 ry cm FLEXION rT cm

1 HEA100 HEA1000 HEA120 HEA140 HEA160 HEA180 HEA200 HEA220 HEA240 HEA260 HEA280 HEA300 HEA320 HEA340 HEA360 HEA400 HEA450 HEA500 HEA550 HEA600 HEA650 HEA700 HEA800 HEA900 HEB100 HEB1000 HEB120 HEB140 HEB160 HEB180 HEB200 HEB220 HEB240 HEB260 HEB280 HEB300 HEB320 HEB340 HEB360 HEB400 HEB450 HEB500 HEB550 HEB600 HEB650 HEB800 HEB900 IPE100 IPE120 IPE140 IPE160 IPE180 IPE200 IPE220IPE240 IPE270 IPE300 IPE330 IPE360 IPE400 IPE450 IPE500 IPE550

IPE600 IPE80 IPN140 IPN180 IPN200 IPN220 IPN240 IPN260 IPN320 IPN340 IPN360 IPN380

2 16.7 272 19.9 24.7 30.4 35.5 42.3 50.5 60.3 68.2 76.4 88.3 97.6 105 112 125 140 155 166 178 190 204 224 252 20.4 314 26.7 33.7 42.6 51.2 61.3 71.5 83.2 93 103 117 127 134 142 155 171 187 199 212 225 262 291 8.1 10.4 12.9 15.8 18.8 22.4 26.2 30.7 36.1 42.2 49.1 57.1 66.3 77.6 90.7 106 122 6 14.4 21.9 26.3 31.1 36.2 41.9 61.1 68.1 76.2 84

3 96 990 114 133 152 171 190 210 230 250 270 290 310 330 350 390 440 490 540 590 640 690 790 890 100 1000 120 140 160 180 200 220 240 260 280 300 320 340 360 400 450 500 550 600 650 800 900 100 120 140 160 180 200 220 240 270 300 330 360 400 450 500 550 600 80 140 180 200 220 240 260 320 340 360 380

4.0 5.0 16.5 5.0 5.5 6.0 6.0 6.5 7.0 7.5 7.5 8.0 8.5 9.0 9.5 10.0 11.0 11.5 12.0 12.5 13.0 13.5 14.5 15.0 16.0 6.0 19.0 6.5 7.0 8.0 8.5 9.0 9.5 10.0 10.0 10.5 11.0 11.5 12.0 12.5 13.5 14.0 14.5 15.0 15.5 16.0 17.5 18.5 4.1 4.4 4.7 5.0 5.3 5.6 5.9 6.2 6.6 7.1 7.5 8.0 8.6 9.4 10.2 11.1 12.0 3.8 5.7 6.9 7.5 8.1 8.7 9.4 11.5 12.2 13.0 13.7

5 100 300 120 140 160 180 200 220 240 260 280 300 300 300 300 300 300 300 300 300 300 300 300 300 100 300 120 140 160 180 200 220 240 260 280 300 300 300 300 300 300 300 300 300 300 300 300 55 64 73 82 91 100 110 120 135 150 160 170 180 190 200 210 220 46 66 82 90 98 106 113 131 137 143 149

6 8 31 8 8.5 9 9.5 10 11 12 12.5 13 14 15.5 16.5 17.5 19 21 23 24 25 26 27 28 30 10 36 11 12 13 14 15 16 17 17.5 18 19 20.5 21.5 22.5 24 26 28 29 30 31 33 35 5.7 6.3 6.9 7.4 8 8.5 9.2 9.8 10.2 10.7 11.5 12.7 13.5 14.6 16 17.2 19 5.2 8.6 10.4 11.3 12.2 13.1 14.1 17.3 18.3 19.5 20.5

7 21.2 347 23.5 31.4 38.8 45.3 53.8 64.3 76.8 86.8 97.3 113 124 133 143 159 178 198 212 226 242 260 286 321 26 400 34 43 54.3 65.3 78.1 91 106 118 131 149 161 171 181 198 218 239 254 270 286 334 371 10.3 13.2 16.4 20.1 23.9 28.5 33.4 39.1 45.9 53.8 62.6 72.7 84.5 98.8 116 134 156 7.64 18.3 27.9 33.5 39.6 46.1 53.4 77.8 86.8 97.1 107

8 349 554000 606 1030 1673 2510 3690 5410 7763 10500 13700 18260 22900 27700 33100 45070 63700 87000 111900 141000 175000 215000 303000 422000 449 645000 864 1509 2490 3830 5700 8090 11260 14900 19300 25170 30800 36700 43200 57700 79900 107000 136700 171000 211000 359000 494000 171 318 541 869 1320 1940 2770 3890 5790 8360 11800 16300 23100 33700 48200 67100 92100 80.1 573 1450 2140 3060 4250 5740 12510 15700 19610 24010

9 72.7 11200 106 155 220 294 389 515 675 836 1010 1260 1480 1680 1890 2311 2900 3550 4146 4790 5470 6240 7680 9480 89.9 12900 144 216 311 326 570 736 938 1150 1380 1678 1930 2160 2400 2880 3550 4290 4971 5700 6480 8980 11000 34.2 53 77.3 109 146 194 252 324 429 557 713 904 1160 1500 1930 2440 3070 20 81.9 161 214 278 354 442 782 923 1090 1260

10 4.05 40 4.89 5.73 6.57 7.45 8.28 9.17 10.1 11 11.9 12.7 13.6 14.4 15.2 16.8 18.9 21 23 25 26.9 28.7 32.6 36.3 4.15 40.1 5.04 5.93 6.78 7.66 8.54 9.43 10.3 11.2 12.1 13 13.8 14.6 15.5 17.1 19.1 21.2 23.2 25.2 27.1 32.8 36.5 4.07 4.9 5.74 6.58 7.42 8.26 9.11 9.97 11.2 12.5 13.7 15 16.5 18.5 20.4 22.3 24.3 3.24 5.61 7.2 8 8.8 9.59 10.4 12.7 13.5 14.2 15

11 134 14000 231 389 616 925 1330 1950 2769 3660 4760 6310 6980 7430 7880 8564 9460 10400 10820 11300 11700 12200 12600 13500 167 16300 317 550 889 1360 2000 2840 3923 5130 6590 8563 9230 9680 10100 10800 11700 12600 13080 13500 14000 14900 15800 15.9 27.6 44.9 68.2 101 142 205 283 419 603 787 1040 1320 1670 2140 2660 3380 8.48 35.2 81.3 117 162 221 288 555 674 818 975

12 26.7 933 38.4 55.6 76.9 103 133 178 231 282 340 421 465 495 525 571 631 691 721 751 781 812 842 903 33.4 1080 52.9 78.5 111 151 200 258 327 395 471 571 616 646 676 721 781 841 872 902 932 993 1050 5.78 8.64 12.3 16.6 22.1 28.4 37.2 47.2 62.1 80.4 98.4 123 146 176 214 254 308 3.69 10.7 19.8 26 33.1 41.7 51 84.7 98.4 114 131

13 2.51 6.35 3.02 3.52 3.98 4.52 4.98 5.51 6 6.5 7 7.49 7.49 7.46 7.43 7.34 7.29 7.24 7.15 7.05 6.96 6.84 6.65 5.5 2.53 6.38 3.05 3.58 4.05 4.57 5.06 5.59 6.08 6.58 7.08 7.58 7.57 7.53 7.49 7.39 7.33 7.27 7.17 7.08 6.99 6.68 6.52 1.24 1.45 1.65 1.84 2.05 2.23 2.48 2.69 3.02 3.35 3.55 3.79 3.95 4.12 4.3 4.45 4.66 1.05 1.4 1.71 1.87 20.2 2.2 2.32 2.67 2.8 2.9 3.02

14 2.77 7.67 2.33 3.87 4.29 4.85 5.53 6.08 6.44 7.2 7.64 8.03 8.3 8.28 8.26 8.01 8.18 8.15 7.95 8.06 8.01 7.94 7.85 7.76 2.78 7.68 3.33 3.82 4.43 4.99 5.54 6.1 6.51 7.21 7.76 8.11 8.31 8.29 8.27 8.22 8.19 8.16 7.98 8.06 8.01 7.86 7.77 1.45 1.69 1.93 2.16 2.4 2.64 2.9 3.17 3.56 3.94 4.2 4.47 4.71 4.93 5.17 5.39 5.64 1.22 1.4 1.97 2.16 2.35 2.53 2.7 3.12 3.26 3.41 3.55

Page 5

TABLAS

IPN400 IPN550 IPN600 S3X5.7 S4X7.7 S5X10 S6X12.5 S8X18.4 VP120 VP140 VP160 VP175 VP200 VP250 VP300 VP350 VP400 VP420 W10X100 W10X112 W10X12 W10X15 W10X17 W10X19 W10X22 W10X26 W10X30 W10X33 W10X39 W10X45 W10X49 W10X54 W10X60 W10X68 W10X77 W10X88 W12X106 W12X120 W12X136 W12X14 W12X152 W12X16 W12X170 W12X19 W12X190 W12X210 W12X22 W12X230 W12X252 W12X26 W12X279 W12X30 W12X305 W12X336 W12X35 W12X40 W12X45 W12X50 W12X53 W12X58 W12X65 W12X72 W12X79 W12X87 W12X96 W14X109 W14X120 W14X132 W14X145 W14X159 W14X176 W14X193 W14X211 W14X22 W14X233 W14X257 W14X26 W14X283 W14X30 W14X311 W14X34 W14X342 W14X370

92.6 165 199 8.49 11.47 14.9 18.63 27.42 9.7 12.4 16.4 17.5 24.1 29.4 41.3 48.3 55.4 65.7 149 167 18 22 25 28 33 39 45 49 58 67 73 80 89 101 115 131 158 179 202 21 226 24 253 28 283 313 33 342 375 39 415 45 454 500 52 60 67 74 79 86 97 107 118 129 143 162 179 196 216 237 262 287 314 33 347 382 39 421 45 463 51 509 551

400 550 600 76 102 127 152 203 120 140 160 175 200 250 300 350 400 420 282 289 251 254 257 260 258 262 266 247 252 257 253 256 260 264 269 275 327 333 341 303 348 305 356 309 365 374 313 382 391 310 403 313 415 427 318 303 306 310 306 310 308 311 314 318 323 364 368 372 375 380 387 393 399 349 407 416 353 425 352 435 355 446 455

14.4 19.0 21.6 4.8 4.8 5.4 6.4 6.4 3.0 3.0 6.0 4.5 4.5 4.5 6.0 6.0 6.0 9.0 17.3 19.2 4.8 5.8 6.1 6.4 6.1 6.6 7.6 7.4 8.0 8.9 8.6 9.4 10.7 11.9 13.5 15.4 15.5 18.0 20.1 5.1 22.1 5.6 24.4 6.0 26.9 30.0 6.6 32.6 35.4 5.8 38.9 6.6 41.3 45.1 7.6 7.5 8.5 9.4 8.8 9.1 9.9 10.9 11.9 13.1 14.0 13.3 15.0 16.4 17.3 18.9 21.1 22.6 24.9 5.8 27.2 29.8 6.5 32.8 6.9 35.8 7.2 39.1 42.0

155 200 215 60.3 66.7 76.3 86 102 100 100 100 125 125 150 150 175 200 200 263 265 101 102 102 102 146 147 148 202 203 204 254 255 256 257 259 261 310 313 315 101 317 101 319 102 322 325 102 328 330 165 334 166 336 340 167 203 204 205 254 254 305 306 307 308 309 371 373 374 394 395 398 399 401 127 404 406 128 409 171 412 171 416 418

21.6 30 32.4 6.35 7.9 8.28 9.5 11.11 4.5 6 6 6 9 9 12 12 12 12 28.4 31.8 5.33 6.86 8.38 10 9.14 11.2 13 11 13.5 15.7 14.2 15.6 17.3 19.6 22.1 25.1 25.1 28.1 31.8 5.72 35.6 6.73 39.6 8.89 44.1 48.3 10.8 52.6 57.2 9.65 62.7 11.2 68.7 75.1 13.2 13.1 14.6 16.3 14.6 16.3 15.4 17 18.7 20.6 22.9 21.8 23.9 26.2 27.7 30.2 33.3 36.6 39.6 8.51 43.7 48 10.7 52.6 9.78 57.4 11.6 62.7 67.6

118 213 254 10.77 14.58 18.97 23.68 34.9 12.3 15.8 20.9 22.3 30.7 37.4 52.6 61.6 70.6 83.6 189.67704 212.25764 22.838664 28.451556 32.193484 36.257992 41.870884 49.096676 57.032144 62.645036 74.1934 85.80628 92.90304 101.93528 113.54816 129.032 145.80616 167.09644 201.28992 227.74148 257.41884 26.838656 288.38652 30.387036 322.58 35.935412 359.99928 398.70888 41.806368 436.77332 478.06356 49.35474 528.38604 56.709564 578.06336 637.41808 66.45148 76.12888 85.16112 94.83852 100.64496 109.6772 123.22556 136.12876 149.67712 165.16096 181.93512 206.4512 227.74148 250.32208 275.48332 301.28972 334.19288 366.45088 399.9992 41.870884 441.9346 487.74096 49.612804 537.41828 57.09666 589.67624 64.516 651.6116 703.2244

29210 99180 139000 104.89 253.07 511.97 919.87 2397.5 335 592 874 1230 2280 4390 8520 13700 20700 24600 25900 29900 2260 2880 3450 4040 4960 6040 7100 7130 8720 10300 11400 12600 14200 16400 19000 22200 38900 44600 51800 3760 59700 4350 68500 5460 78800 89400 6550 101000 113000 8570 130000 9970 148000 169000 12000 12900 14600 16400 17800 19800 22200 24900 27600 30800 34700 51600 57400 63700 71300 79200 89100 99800 111000 8340 125000 141000 10300 160000 12200 180000 14200 204000 227000

1460 3610 4630 27.53 49.81 80.62 120.77 235.97 55.7 84.5 109 141 228 351 568 785 1040 1170 1840 2070 180 227 269 311 384 460 534 577 692 806 896 983 1090 1240 1410 1610 2380 2680 3040 249 3430 285 3850 354 4320 4780 419 5260 5780 552 6440 636 7120 7910 753 851 956 1060 1160 1280 1440 1600 1760 1940 2150 2840 3120 3420 3800 4160 4610 5080 5540 478 6150 6800 580 7520 695 8290 802 9150 9950

15.7 21.6 23.4 3.12 4.17 5.207 6.22 8.28 5.21 6.11 6.47 7.43 8.62 10.8 12.7 14.9 17.1 17.2 11.7 11.8 9.9 10 10.3 10.5 10.8 11 11.1 10.6 10.8 11 11 11.1 11.2 11.3 11.4 11.5 13.9 14 14.2 11.7 14.4 11.9 14.6 12.2 14.8 15 12.5 15.2 15.4 13.1 15.6 13.2 16 16.3 13.3 13 13.1 13.2 13.3 13.4 13.4 13.5 13.6 13.7 13.8 15.8 15.8 16 16.1 16.2 16.3 16.5 16.6 14.1 16.8 17 14.4 17.2 14.6 17.5 14.8 17.7 18

1160 3490 4670 18.94 31.8 50.78 75.75 155.25 75 100 100 195 293 506 676 1070 1600 1600 8600 9810 90.8 120 148 179 475 587 695 1520 1870 2220 3890 4310 4830 5560 6390 7440 12500 14400 16600 98.1 18900 117 21500 157 24500 27600 194 30900 34400 721 39000 847 43700 49400 1020 1830 2080 2340 3990 4460 7260 8120 8990 10000 11200 18600 20600 22800 28200 31200 34900 38800 42700 291 47900 53700 371 60100 815 67200 970 75200 82700

149 349 434 6.39 9.41 13.26 17.86 30.48 15 20 20 31.3 46.9 67.5 90.1 123 160 160 655 742 18 23.7 29.1 35 65.1 80.1 94.2 151 185 218 306 338 378 432 494 570 808 917 1050 19.5 1190 23.2 1350 30.8 1520 1700 37.9 1890 2090 87.5 2340 102 2600 2900 122 180 204 229 314 350 476 531 586 651 727 1000 1110 1220 1430 1580 1750 1940 2130 45.9 2380 2640 58.1 2940 95.4 3260 113 3620 3950

3.13 4.02 4.3 1.33 1.48 1.63 1.79 2.11 2.47 2.51 2.19 2.96 3.09 3.68 3.58 4.17 4.76 4.38 6.73 6.79 1.99 2.05 2.14 2.21 3.36 3.45 3.49 4.92 5.03 5.09 6.46 6.49 6.51 6.56 6.61 6.67 7.89 7.93 8.02 1.9 8.09 1.95 8.17 2.08 8.25 8.32 2.15 8.41 8.49 3.81 8.59 3.85 8.69 8.8 3.9 4.91 4.93 4.97 6.29 6.36 7.67 7.7 7.75 7.79 7.86 9.48 9.5 9.55 10.1 10.2 10.2 10.3 10.3 2.63 10.4 10.5 2.73 10.6 3.76 10.7 3.87 10.8 10.9

3.69 4.78 4.78 1.45 1.63 1.83 2.01 2.39 2.72 2.74 2.59 3.35 3.41 4.08 4.03 4.7 5.37 5.17 7.27 7.33 2.49 2.54 2.59 2.64 3.88 3.93 3.96 5.51 5.56 5.6 7.02 7.05 7.08 7.12 7.16 7.22 8.58 8.63 8.7 2.44 8.76 2.48 8.83 2.56 8.91 8.99 2.6 9.07 9.15 4.38 9.25 4.41 9.33 9.44 4.45 5.52 5.55 5.57 6.96 6.99 8.4 8.43 8.46 8.5 8.54 10.3 10.3 10.3 10.9 11 11 11.1 11.1 3.22 11.2 11.3 3.28 11.4 4.46 11.5 4.51 11.5 11.6

Page 6

TABLAS

W14X38 W14X398 W14X426 W14X43 W14X455 W14X48 W14X500 W14X53 W14X550 W14X605 W14X61 W14X665 W14X68 W14X730 W14X74 W14X82 W14X90 W14X99 W16X100 W16X26 W16X31 W16X36 W16X40 W16X45 W16X50 W16X57 W16X67 W16X77 W16X89 W18X106 W18X119 W18X35 W18X40 W18X46 W18X50 W18X55 W18X60 W18X65 W18X71 W18X76 W18X86 W18X97 W21X101 W21X111 W21X122 W21X132 W21X147 W21X44 W21X50 W21X57 W21X62 W21X68 W21X73 W21X83 W21X93 W24X104 W24X117 W24X131 W24X146 W24X162 W24X55 W24X62 W24X68 W24X76 W24X84 W24X94 W27X102 W27X114 W27X146 W27X161 W27X178 W27X84 W27X94 W30X108 W30X116 W30X124 W30X132 W30X173 W30X191 W30X211 W30X99 W33X118 W33X130

57 592 634 64 677 71 744 79 818 900 91 990 101 1086 110 122 134 147 149 39 46 54 60 67 74 85 100 115 132 158 177 52 60 68 74 82 89 97 106 113 128 144 150 165 182 196 219 65 74 85 92 101 109 124 138 155 174 195 217 241 82 92 101 113 125 140 152 170 217 240 265 125 140 161 173 185 196 257 284 314 147 176 193

358 465 474 347 483 350 498 354 514 531 353 550 357 569 360 363 356 360 431 399 403 403 407 410 413 417 415 420 425 476 482 450 455 459 457 460 463 466 469 463 467 472 543 546 551 554 560 525 529 535 533 537 539 544 549 611 616 622 628 635 599 603 603 608 612 617 688 693 695 701 706 678 684 758 762 766 770 773 779 786 753 835 840

7.9 45.0 47.6 7.7 51.2 8.6 55.6 9.4 60.5 65.9 9.5 71.9 10.5 78.0 11.4 13.0 11.2 12.3 14.9 6.4 7.0 7.5 7.7 8.8 9.7 10.9 10.0 11.6 13.3 15.0 16.6 7.6 8.0 9.1 9.0 9.9 10.5 11.4 12.6 10.8 12.2 13.6 12.7 14.0 15.2 16.5 18.3 8.9 9.7 10.3 10.2 10.9 11.6 13.1 14.7 12.7 14.0 15.4 16.5 17.9 10.0 10.9 10.5 11.2 11.9 13.1 13.1 14.5 15.4 16.8 18.4 11.7 12.4 13.8 14.4 14.9 15.6 16.6 18.0 19.7 13.2 14.0 14.7

172 421 424 203 428 204 432 205 437 442 254 448 255 454 256 257 369 370 265 140 140 177 178 179 180 181 260 261 263 284 286 152 153 154 190 191 192 193 194 280 282 283 312 313 315 316 318 165 166 166 209 210 211 212 214 324 325 327 328 329 178 179 228 228 229 230 254 256 355 356 358 253 254 266 267 267 268 381 382 384 265 292 292

13.1 72.3 77.1 13.5 81.5 15.1 88.9 16.8 97 106 16.4 115 18.3 125 19.9 21.7 18 19.8 25 8.76 11.2 10.9 12.8 14.4 16 18.2 16.9 19.3 22.2 23.9 26.9 10.8 13.3 15.4 14.5 16 17.7 19.1 20.6 17.3 19.6 22.1 20.3 22.2 24.4 26.3 29.2 11.4 13.6 16.5 15.6 17.4 18.8 21.2 23.6 19.1 21.6 24.4 27.7 31 12.8 15 14.9 17.3 19.6 22.2 21.1 23.6 24.8 27.4 30.2 16.3 18.9 19.3 21.6 23.6 25.4 27.1 30.1 33.4 17 18.8 21.7

72.25792 754.8372 806.45 81.29016 864.5144 90.96756 948.3852 100.64496 1045.1592 1148.3848 115.48364 1264.5136 129.032 1387.094 140.64488 155.48356 170.9674 187.74156 189.67704 49.548288 58.838592 68.38696 76.12888 85.80628 94.83852 108.38688 127.09652 145.80616 169.03192 200.64476 226.45116 66.45148 76.12888 87.0966 94.83852 104.51592 113.54816 123.22556 134.19328 143.87068 163.22548 183.8706 192.25768 210.96732 231.61244 250.32208 278.70912 83.8708 94.83852 107.74172 118.06428 129.032 138.7094 156.77388 176.12868 197.41896 221.93504 248.3866 277.4188 307.74132 104.51592 117.41912 129.67716 144.51584 159.35452 178.70932 193.548 216.1286 276.77364 305.80584 337.41868 159.99968 178.70932 204.51572 220.64472 235.4834 250.96724 327.74128 361.93476 399.9992 187.74156 223.87052 247.09628

16100 250000 275000 18000 299000 20400 342000 22800 392000 451000 26900 518000 30300 597000 33300 37000 41700 46300 62300 13000 16000 19000 22100 24900 27900 32100 40100 46600 54500 80200 91600 21700 26100 30200 33900 37600 41400 45200 49300 56000 64200 73200 102000 112000 124000 135000 152000 35900 41700 49300 56000 62300 67600 77000 87000 131000 148000 169000 192000 216000 57300 65800 77400 88500 99600 114000 151000 170000 235000 262000 291000 119000 137000 187000 206000 224000 241000 342000 382000 428000 167000 247000 280000

900 10800 11600 1040 12400 1160 13700 1290 15300 17000 1530 18900 1700 21000 1850 2030 2340 2570 2890 652 794 945 1090 1210 1350 1540 1940 2220 2560 3370 3800 965 1150 1320 1480 1630 1790 1940 2100 2420 2750 3100 3740 4100 4510 4870 5420 1370 1580 1840 2100 2320 2510 2830 3170 4270 4820 5430 6110 6820 1910 2180 2570 2910 3250 3680 4400 4920 6760 7470 8250 3520 4000 4930 5400 5840 6260 8850 9810 10900 4440 5910 6670

14.9 18.2 18.4 14.8 18.6 14.9 19 15 19.4 19.8 15.2 20.3 15.3 20.8 15.3 15.4 15.6 15.7 18 15.9 16.3 16.5 16.8 16.9 17 17.1 17.7 17.8 17.9 19.9 20.1 17.9 18.3 18.4 18.7 18.8 19 19 19.1 19.6 19.7 19.9 22.9 23 23.1 23.2 23.3 20.5 20.8 21.2 21.7 21.8 21.9 22 22.1 25.7 25.7 25.9 26.2 26.4 23.1 23.4 24.3 24.6 24.9 25.1 27.9 27.9 29 29.2 29.5 27.2 27.7 30.2 30.5 30.7 31 32.3 32.5 32.8 29.7 33 33.5

1110 90400 98300 1880 107000 2140 120000 2400 135000 153000 4470 173000 5050 196000 5570 6170 15100 16700 7750 400 516 1020 1200 1370 1550 1800 4950 5760 6770 9180 10500 639 795 938 1670 1870 2080 2280 2510 6340 7290 8370 10300 11400 12700 13800 15600 861 1040 1280 2390 2690 2940 3390 3870 10800 12400 14200 16300 18400 1210 1440 2930 3440 3930 4530 5800 6610 18400 20700 23100 4400 5160 6080 6840 7520 8160 24900 28000 31500 5320 7790 9070

129 4290 4630 185 4990 210 5550 235 6200 6930 352 7740 396 8640 435 480 818 904 586 57.2 73.6 115 135 153 172 199 381 440 514 645 736 83.9 104 122 175 196 217 237 259 453 518 591 661 729 806 876 985 104 125 153 229 257 279 319 362 667 762 868 992 1120 136 161 257 301 343 394 456 517 1040 1160 1290 348 407 457 513 563 609 1310 1470 1640 401 534 620

3.92 10.9 11 4.78 11.1 4.82 11.2 4.86 11.4 11.6 6.19 11.7 6.24 11.9 6.27 6.28 9.39 9.43 6.36 2.8 2.93 3.83 3.94 3.97 4.01 4.05 6.22 6.25 6.31 6.74 6.81 3.08 3.21 3.25 4.17 4.21 4.26 4.28 4.3 6.61 6.66 6.72 7.31 7.34 7.38 7.42 7.47 3.18 3.29 3.42 4.49 4.55 4.58 4.63 4.66 7.36 7.45 7.52 7.63 7.72 3.38 3.47 4.73 4.85 4.94 5.01 5.46 5.52 8.15 8.22 8.27 5.23 5.37 5.44 5.56 5.65 5.7 8.7 8.79 8.86 5.31 5.89 6.05

4.54 11.7 11.8 5.46 11.9 5.49 12 5.52 12.2 12.3 6.92 12.5 6.95 12.7 6.98 7.01 10.2 10.2 7.15 3.5 3.58 4.59 4.65 4.68 4.71 4.75 7.01 7.05 7.1 7.64 7.69 3.82 3.9 3.94 4.95 4.98 5.01 5.04 5.06 7.52 7.56 7.61 8.34 8.37 8.41 8.45 8.5 4.04 4.11 4.2 5.38 5.43 5.45 5.5 5.54 8.55 8.6 8.66 8.73 8.79 4.31 4.38 5.77 5.85 5.91 5.96 6.54 6.59 9.39 9.45 9.5 6.39 6.48 6.68 6.76 6.81 6.85 10.1 10.1 10.2 6.6 7.28 7.38

Page 7

TABLAS

W33X141 W33X152 W33X201 W33X221 W33X241 W36X135 W36X150 W36X160 W36X170 W36X182 W36X194 W36X210 W36X230 W36X245 W36X260 W36X280 W36X300 W4X13 W5X16 W5X19 W6X12 W6X15 W6X16 W6X20 W6X25 W6X9 W8X10 W8X13 W8X15 W8X18 W8X21 W8X24 W8X28 W8X31 W8X35 W8X40 W8X48 W8X58 W8X67

210 226 299 329 359 201 223 238 253 271 289 313 342 365 387 417 446 19 24 28 18 22 24 30 37 13 15 19 22 27 31 36 42 46 52 60 71 86 100

846 851 855 862 868 903 911 915 919 923 927 932 912 916 921 928 933 106 127 131 153 152 160 157 162 150 200 203 206 207 210 201 205 203 206 210 216 222 229

15.4 16.1 18.2 19.7 21.1 15.2 15.9 16.5 17.3 18.4 19.4 21.1 19.3 20.3 21.3 22.5 24.0 7.1 6.1 6.9 5.8 5.8 6.6 6.6 8.1 4.3 4.3 5.8 6.2 5.8 6.4 6.2 7.2 7.2 7.9 9.1 10.2 13.0 14.5

293 294 400 401 403 304 304 305 306 307 308 309 418 419 420 422 423 103 127 128 102 152 102 153 154 100 100 102 102 133 134 165 166 203 204 205 206 209 210

24.4 26.8 29.2 32.4 35.6 20.1 23.9 25.9 27.9 30 32 34.5 32 34.3 36.6 39.9 42.7 8.76 9.14 10.9 7.11 6.6 10.3 9.27 11.6 5.46 5.21 6.48 8 8.38 10.2 10.2 11.8 11 12.6 14.2 17.4 20.6 23.7

268.38656 288.38652 381.28956 419.354 457.41844 256.12852 285.16072 303.2252 322.58 345.80576 367.7412 398.70888 436.12816 465.16036 493.5474 531.61184 569.67628 24.709628 30.193488 35.741864 22.90318 28.580588 30.580584 37.870892 47.354744 17.290288 19.096736 24.774144 28.645104 33.935416 39.741856 45.677328 53.2257 58.903108 66.45148 75.48372 90.96756 110.32236 127.09652

311000 341000 481000 536000 591000 326000 377000 407000 439000 472000 505000 550000 627000 673000 721000 788000 848000 475 893 1090 919 1210 1350 1730 2230 688 1300 1650 2020 2580 3160 3460 4090 4580 5270 6110 7660 9490 11300

7350 8010 11200 12400 13600 7220 8280 8900 9550 10200 10900 11800 13800 14700 15700 17000 18200 89.9 140 167 120 159 169 220 275 91.8 130 163 196 250 300 344 399 451 511 583 710 854 990

34 34.3 35.6 35.8 35.8 35.6 36.3 36.6 36.8 36.8 37.1 37.1 37.8 38.1 38.1 38.4 38.6 4.4 5.4 5.5 6.3 6.5 6.6 6.8 6.9 6.3 8.2 8.2 8.4 8.7 8.9 8.7 8.8 8.8 8.9 9 9.2 9.3 9.4

10200 11400 31200 35000 38800 9380 1120 12300 13300 14500 15600 17100 39100 42200 45400 49900 54000 161 312 380 125 388 184 553 710 91.4 87.2 114 142 332 407 761 901 1540 1770 2040 2540 3120 3690

700 773 1560 1740 1930 618 738 805 872 943 1010 1110 1870 2010 2160 2370 2550 31.1 49.2 59.5 24.5 51 36 72.3 92 18.3 17.4 22.4 27.8 49.7 60.8 92.2 109 152 174 199 246 299 351

6.18 6.26 9.04 9.12 9.21 6.04 6.27 6.35 6.42 6.46 6.51 6.55 9.45 9.52 9.57 9.67 9.73 2.54 3.2 3.25 2.33 3.68 2.45 3.81 3.87 2.29 2.12 2.14 2.21 3.12 3.19 4.07 4.11 5.12 5.17 5.19 5.28 5.32 5.39

7.46 7.52 10.5 10.6 10.6 7.52 7.66 7.72 7.77 7.81 7.84 7.89 11 11.1 11.1 11.2 11.2 2.82 3.5 3.53 2.69 4.12 2.76 4.19 4.24 2.66 2.57 2.59 2.64 3.57 3.61 4.52 4.55 5.6 5.63 5.66 5.71 5.77 5.82

Page 8

TABLAS

ESBELTECES ALMA ALETAS d/Af h/tw b/2tf

TORSION J cm4

CONSTANTES CONSTANTE DE ALABEO Cw cm6

MODULOS PLASTICOS Zx Zy cm3 CM3

k mm

K1 mm

Kc mm

15 1.2 1.06 1.19 1.12

16 19.2 60 22.8 24.2

17 6.25 4.84 7.5 8.24

0.95 0.868 0.769 0.742 0.667 0.667 0.667 0.698 0.71 0.787 0.821 0.852 0.94 0.989 1 0.926 0.909 0.769 0.714 0.714 0.625 0.571 0.556 0.52 0.527 0.533 0.556 0.576 0.595 0.667 0.699 0.808 0.857 3.19 2.98 2.78 2.64 2.47 2.35 2.17 2.04 1.96 1.87 1.79 1.67 1.65 1.62 1.56 1.52 1.44 3.34 0 0 0 0 0 0 0 0 0 0

29.2 30 33.3 33.8 34.4 34.7 35 38.3 40.8 45.4 47.4 47.6 52.7 55.6 16.7 52.6 18.5 20 21.2 22.2 23.2 26 26.7 27.8 28.3 28.8 29.6 32.1 34.5 38.7 40.6 45.7 48.6 24.4 27.3 29.8 32 34 35.7 37.3 38.7 40.9 42.3 44 45 46.5 47.9 49 49.5 50 21.1 0 0 0 0 0 0 0 0 0 0

10 10 10.4 10.8 9.68 9.09 8.57 7.14 6.52 6 5.77 5.56 5.36 5 5 4.17 5.45 6.15 6.43 6.67 6.88 7.43 7.78 7.32 6.98 6.67 6.25 5.77 5.36 5 4.84 4.55 4.29 4.82 5.08 5.29 5.54 5.69 5.88 5.98 6.12 6.62 7.01 6.96 6.69 6.67 6.51 6.25 6.1 5.79 4.42 0 0 0 0 0 0 0 0 0 0

18 5.28 835 6.04 8.1 12.4 14.8 21 28.6 41.6 54.2 63.5 85.2 112 131 153 189 250 318 352 407 458 522 609 749 9.33 1270 13.9 20.1 31.3 42.2 59.7 77 103 127 146 185 230 263 298 361 448 548 600 677 749 959 1150 1.16 1.69 2.4 3.54 4.73 6.92 9.03 13 15.9 19.9 28.1 37.4 51.3 66.7 89.1 123 165 0.672 4.66 10.3 14.6 20.1 27 36.1 78.2 97.5 123 150

19 2580 32100000 6470 15100 31400 60200 108000 193000 328000 516000 785000 1200000 1510000 1820000 2180000 2942000 4150000 5640000 7189000 8980000 11000000 13400000 18300000 25000000 3380 37600000 9410 22500 47900 93700 171000 295000 487000 754000 1130000 1688000 2070000 2450000 2880000 3820000 5260000 7020000 8856000 11000000 13400000 21800000 29500000 351 890 1980 3960 7430 13000 22700 37400 70600 126000 199000 314000 490000 791000 1250000 1880000 2850000 118 1540 5924 10520 17760 28730 44070 128800 176300 240100 318700

20 84 12800 120 174 245 325 432 571 745 926 1120 1383 1640 1860 2100 2562 3230 3960 4622 5360 6150 7040 8720 10800 105 14900 166 245 356 483 646 830 1053 1290 1540 1869 2160 2420 2690 3240 3990 4830 5591 6440 7330 10200 12600 40 61 89 124 167 221 286 368 486 630 807 1020 1310 1710 2200 2790 3520 23 90.09 187 250 324 412 514 914 1080 1276 1482

21 43.6 1520 61.9 88.5 118 156 216 284 352 458 548 641 750 796 842 873 1010 1100 1107 1190 1240 1300 1360 1460 53.8 1760 83.9 120 176 238 317 407 498 629 747 870 979 1030 1070 1140 1240 1330 1341 1430 1480 1600 1700 9.57 14.1 19.8 27.2 35.9 47 60.8 78.5 102 131 163 201 243 291 351 421 507 6 11.77 33.2 43.5 55.7 70 85.9 143 166 194 221

22 20 61 20 21 24 24.5 28 29 33 37 37 41 42 43 44 48 48 50 51 52 53 54 58 60 22 66 23 24 28 29 33 34 38 41 42 46 48 49 50 51 53 55 56 57 58 63 65 13 13 14 16 17 21 21 25 25 26 29 31 35 36 37 41 43 10 15.5 19 20.5 22.5 24 26 31.5 33 35 37

23 30 80 30 35 40 40 45 45 50 60 60 65 65 65 65 70 70 70 70 70 70 70 80 80 35 80 35 35 40 40 50 50 55 60 60 70 70 70 70 70 70 70 70 70 75 80 80 20 20 20 25 25 35 30 40 40 40 45 45 55 55 55 60 65 15 20 25 30 30 35 35 40 45 45 50

24 15 40 15 17.5 20 20 22.5 22.5 25 30 30 32.5 32.5 32.5 32.5 35 35 35 35 35 35 35 40 40 17.5 40 17.5 17.5 20 20 25 25 27.5 30 30 35 35 35 35 35 35 35 35 35 37.5 40 40 10 10 10 12.5 12.5 17.5 15 20 20 20 22.5 22.5 27.5 27.5 27.5 30 32.5 7.5 10 12.5 15 15 17.5 17.5 20 22.5 22.5 25

Page 9

TABLAS

0 0 0 1.95 2.02 5.1 1.98 1.85 2.67 2.33 2.67 2.33 1.78 1.85 1.67 1.67 1.67 1.75 0.377 0.344 4.67 3.64 3.01 2.54 1.93 1.6 1.39 1.11 0.923 0.8 0.702 0.644 0.587 0.525 0.471 0.42 0.419 0.379 0.341 5.25 0.309 4.46 0.282 3.42 0.258 0.238 2.83 0.222 0.207 1.95 0.192 1.69 0.179 0.167 1.44 1.14 1.03 0.928 0.826 0.749 0.657 0.598 0.549 0.502 0.457 0.449 0.413 0.381 0.344 0.318 0.292 0.269 0.251 3.23 0.231 0.213 2.59 0.198 2.1 0.184 1.79 0.171 0.161

0 0 0 17.6 20.7 23.4 25.9 29.5 37 42.7 24.7 36.2 40.4 51.6 46 54.3 62.7 44 16.3 15 51.9 43.4 42.1 41 42.4 39.7 34.9 33.6 31.5 28.9 29.4 27.3 24.3 22.1 20 17.9 21.1 18.5 17 59.6 15.8 54.5 14.6 51.7 13.6 12.5 47.3 11.7 11 53.1 10.4 47.5 10 9.48 41.7 40.5 36 32.9 35 33.9 31.1 28.5 26.3 24.3 23.1 27.3 24.5 22.7 21.7 20.1 18.3 17.4 16 59.7 15 13.9 54.5 13 51.3 12.1 49.1 11.4 10.8

0 0 0 4.5 4.5 4.6 4.6 4.7 11.1 8.33 8.33 10.4 6.94 8.33 6.25 7.29 8.33 8.33 4.62 4.17 9.43 7.41 6.08 5.09 7.99 6.56 5.7 9.15 7.53 6.47 8.93 8.15 7.41 6.58 5.86 5.18 6.17 5.57 4.96 8.82 4.46 7.53 4.03 5.72 3.65 3.37 4.74 3.11 2.89 8.54 2.66 7.41 2.45 2.26 6.31 7.77 7 6.31 8.69 7.82 9.92 8.99 8.22 7.48 6.76 8.49 7.8 7.15 7.11 6.54 5.97 5.45 5.06 7.46 4.62 4.23 5.98 3.89 8.74 3.59 7.41 3.31 3.1

183 618 875 1.66 2.91 4.58 7.08 14.15 0.7 1.52 2.52 2.28 6.44 7.8 18.7 21.9 25.1 32.4 455 633 2.4 4.42 6.94 10.2 10.5 17.3 26.4 24.9 41.2 63.1 58.2 75.9 104 149 215 314 382 541 771 3.29 1080 4.66 1490 8 2050 2710 12.7 3490 4490 13 5960 19.6 7740 10100 32.1 39.7 56 75 66.9 88.4 91.2 124 162 213 285 297 393 513 637 825 1110 1450 1860 9.01 2490 3290 15.3 4340 16.8 5660 24.7 7400 9260

419600 2389000 3821000 332.5 1029 2472 5817 20226 2500 4490 5930 14000 26700 73500 140000 306000 602000 666000 1380000 1620000 13600 18300 22800 27800 73700 92500 111000 212000 266000 322000 556000 623000 709000 831000 975000 1160000 2860000 3340000 3940000 21500 4610000 25900 5390000 35100 6310000 7300000 44000 8370000 9590000 163000 11200000 193000 13000000 15200000 236000 386000 442000 504000 847000 958000 1550000 1750000 1970000 2220000 2530000 5430000 6090000 6840000 8510000 9550000 10900000 12300000 13800000 84200 15800000 18200000 109000 20800000 238000 23900000 286000 27500000 31000000

1714 4240 5093 31.95 57.52 92.91 138.8 270.39 61.2 92.7 125 157 252 386 633 869 1140 1330 2130 2420 209 263 310 357 431 516 602 640 771 903 992 1090 1230 1400 1600 1850 2690 3060 3510 292 3980 334 4510 410 5110 5720 485 6340 7030 615 7900 711 8820 9890 845 945 1070 1190 1280 1420 1590 1780 1960 2170 2420 3150 3480 3840 4270 4710 5250 5820 6400 548 7150 7980 663 8890 783 9890 902 11000 12100

253 38.5 592 52.5 592 57.5 10.7 17.5 15.8 19.05 22.45 20.6 30.32 22.23 82.1 25.4 22.7 4.5 30.3 6 31.3 6 47.7 6 71.2 9 102 9 138 12 187 12 243 12 248 12 1010 44 1140 48 30 16 38.9 17 47.7 19 56.7 21 103 19 125 22 147 24 237 27 288 29 339 32 472 30 521 32 583 33 665 35 761 38 877 41 1250 43 1410 46 1620 49 33.2 17 1840 54 39 19 2080 57 50.7 21 2350 62 2630 67 61.7 22 2910 70 3220 75 137 22 3620 81 160 24 4020 87 4500 94 192 25 285 32 322 32 360 35 490 32 545 35 737 33 822 35 906 37 1000 38 1120 41 1540 40 1700 41 1870 43 2190 44 2410 48 2690 51 2970 54 3260 57 548 22 3640 60 4050 65 663 24 4510 70 783 24 5000 75 902 25 5560 79 6080 84

50 65 75 30 30 35 35 35 5 5 10 5 5 5 10 10 10 10 50 55 30 30 30 30 30 30 30 40 40 45 45 45 45 45 50 50 55 55 55 30 60 35 60 35 65 70 30 70 75 35 80 35 80 85 35 50 45 50 45 50 50 50 50 50 55 50 50 50 50 55 60 60 60 35 60 65 35 70 40 75 35 75 75

25 32.5 37.5 15 15 17.5 17.5 17.5 2.5 2.5 5 2.5 2.5 2.5 5 5 5 5 25 27.5 15 15 15 15 15 15 15 20 20 22.5 22.5 22.5 22.5 22.5 25 25 27.5 27.5 27.5 15 30 17.5 30 17.5 32.5 35 15 35 37.5 17.5 40 17.5 40 42.5 17.5 25 22.5 25 22.5 25 25 25 25 25 27.5 25 25 25 25 27.5 30 30 30 17.5 30 32.5 17.5 35 20 37.5 17.5 37.5 37.5

Page 10

TABLAS

1.59 0.153 0.145 1.27 0.139 1.14 0.13 1.03 0.121 0.114 0.848 0.107 0.765 0.1 0.706 0.65 0.535 0.491 0.651 3.26 2.57 2.08 1.78 1.6 1.44 1.27 0.945 0.831 0.727 0.7 0.625 2.73 2.23 1.94 1.66 1.5 1.37 1.27 1.18 0.955 0.848 0.755 0.855 0.784 0.718 0.668 0.604 2.78 2.35 1.95 1.63 1.47 1.36 1.21 1.09 0.991 0.878 0.781 0.693 0.623 2.62 2.25 1.78 1.54 1.37 1.21 1.28 1.15 0.792 0.717 0.653 1.65 1.42 1.48 1.32 1.21 1.13 0.751 0.678 0.613 1.67 1.52 1.32

45.5 10.3 9.96 44.8 9.44 40.6 8.95 37.6 8.5 8.06 37 7.65 33.8 7.3 31.5 28.1 31.9 29.2 29 62.8 57.7 53.8 52.5 46.8 42.8 38.2 41.3 36.3 31.9 31.7 29 59 56.8 50.2 50.7 46.4 44 40.8 37.3 42.8 38.3 34.7 42.7 39.1 36.1 33.6 30.6 59 54.8 52 52.5 49.1 46.7 41.6 37.3 48.1 44.1 40.5 38.1 35.5 59.7 55.2 57.2 54.4 51.3 47.2 52.6 47.9 45.3 41.8 38.4 58.1 54.9 54.7 53.1 51.6 49.3 46.5 43.2 39.9 57 59.7 57.1

6.57 2.92 2.75 7.54 2.62 6.75 2.43 6.11 2.25 2.09 7.75 1.95 6.97 1.82 6.41 5.92 10.2 9.34 5.29 7.97 6.28 8.12 6.93 6.23 5.61 4.98 7.7 6.77 5.92 5.96 5.31 7.06 5.73 5.01 6.57 5.98 5.44 5.06 4.71 8.11 7.2 6.41 7.68 7.05 6.45 6.01 5.44 7.22 6.1 5.04 6.7 6.04 5.6 5 4.53 8.5 7.53 6.7 5.92 5.31 6.94 5.97 7.66 6.61 5.86 5.18 6.03 5.41 7.16 6.49 5.92 7.78 6.7 6.89 6.17 5.65 5.27 7.04 6.35 5.74 7.8 7.76 6.73

34.2 11400 13800 47.1 16500 63.9 21500 86.8 27900 36300 97.2 46900 131 60400 167 220 171 225 337 13.4 22.2 25.6 37.9 51.6 69.1 101 105 158 237 325 457 23.9 38.7 56.4 56.9 74.8 96.4 123 154 124 179 254 226 293 387 483 662 36.4 52.4 79.5 81.6 107 135 190 265 208 292 414 580 792 55.6 78.2 85.2 120 163 233 224 309 461 616 824 121 172 212 272 337 414 643 866 1170 161 226 312

330000 34700000 38600000 522000 42800000 600000 50000000 680000 58600000 69100000 1260000 81500000 1440000 96400000 1610000 1800000 4310000 4830000 3190000 151000 198000 390000 465000 533000 609000 713000 1960000 2300000 2750000 4680000 5440000 307000 386000 459000 815000 920000 1030000 1140000 1260000 3140000 3650000 4230000 7020000 7830000 8770000 9640000 11000000 565000 687000 853000 1600000 1810000 1990000 2310000 2660000 9450000 10900000 12600000 14600000 16800000 1030000 1230000 2530000 2990000 3440000 4010000 6430000 7380000 20700000 23400000 26400000 4810000 5690000 8260000 9350000 10300000 11300000 34600000 39200000 44500000 7180000 12900000 15200000

1010 13100 14200 1160 15400 1300 17200 1450 19300 21600 1700 24300 1900 27300 2070 2290 2580 2840 3280 750 909 1070 1230 1380 1530 1760 2150 2490 2890 3810 4310 1120 1320 1520 1680 1860 2040 2220 2410 2690 3070 3480 4180 4600 5070 5490 6150 1600 1840 2140 2400 2650 2860 3250 3660 4790 5410 6110 6900 7710 2250 2560 2940 3330 3720 4210 5030 5630 7590 8410 9320 4030 4580 5690 6220 6710 7200 9940 11000 12300 5140 6830 7670

1010 6600 7140 1160 7690 1300 8570 1450 9580 10700 1700 12000 1900 13400 2070 2290 1260 1390 913 96.9 122 186 219 247 277 319 594 688 801 1010 1150 139 172 200 282 313 347 379 414 705 808 920 1030 1140 1260 1370 1540 177 209 253 368 411 449 513 582 1050 1190 1360 1550 1750 231 270 418 484 549 631 726 822 1620 1810 2010 560 651 737 823 901 976 2040 2280 2560 651 863 995

27 89 94 33 98 35 106 37 114 122 37 132 38 141 40 41 35 37 43 27 29 29 30 32 33 35 35 37 40 41 44 29 30 32 32 33 35 37 38 35 37 40 40 41 43 46 48 30 33 35 35 37 38 40 43 38 41 44 48 51 33 35 35 37 40 41 40 41 43 46 48 35 37 40 41 43 44 48 49 59 37 40 43

40 80 85 50 85 50 90 50 95 100 55 110 50 110 55 55 50 50 55 45 45 45 45 45 45 45 50 50 50 50 55 45 45 45 45 45 50 50 50 50 50 50 55 55 55 60 60 50 50 50 50 55 50 55 55 55 55 55 60 60 55 55 55 55 55 55 55 50 55 55 55 50 50 60 55 55 55 60 60 75 55 60 60

20 40 42.5 25 42.5 25 45 25 47.5 50 27.5 55 25 55 27.5 27.5 25 25 27.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 25 25 25 25 27.5 22.5 22.5 22.5 22.5 22.5 25 25 25 25 25 25 27.5 27.5 27.5 30 30 25 25 25 25 27.5 25 27.5 27.5 27.5 27.5 27.5 30 30 27.5 27.5 27.5 27.5 27.5 27.5 27.5 25 27.5 27.5 27.5 25 25 30 27.5 27.5 27.5 30 30 37.5 27.5 30 30

Page 11

TABLAS

1.18 1.08 0.732 0.663 0.606 1.48 1.25 1.16 1.08 1 0.941 0.872 0.681 0.637 0.599 0.552 0.517 1.17 1.1 0.937 2.12 1.51 1.51 1.11 0.908 2.74 3.85 3.08 2.52 1.85 1.55 1.2 1.04 0.906 0.805 0.719 0.602 0.517 0.458

55 52.7 47.1 43.8 41.2 59.3 57.4 55.4 53.2 50.1 47.7 44.2 47.2 45.1 43.2 41.3 38.9 14.9 20.9 19.1 26.2 26 24.2 23.8 19.9 34.7 46.4 34.7 33.1 35.4 33.1 32.4 28.3 28.1 26.2 22.9 21.3 17.2 15.8

6.01 5.48 6.85 6.2 5.66 7.56 6.37 5.88 5.47 5.12 4.81 4.48 6.54 6.11 5.75 5.29 4.96 5.88 6.94 5.85 7.14 11.5 4.98 8.25 6.68 9.16 9.61 7.84 6.37 7.95 6.59 8.12 7.03 9.19 8.1 7.21 5.92 5.07 4.43

409 525 863 1160 1500 297 427 520 638 778 932 1180 1210 1460 1760 2220 2700 6.53 8.1 13.2 3.79 4.25 9.63 10.3 19.4 1.77 1.92 3.71 6.1 7.25 12.3 14.8 22.6 22.6 32.2 47.5 82.3 140 211

17200000 19200000 53100000 60100000 67200000 18200000 22000000 24100000 26400000 28700000 31100000 34300000 75600000 82000000 88600000 98100000 107000000 3760 10900 13600 6630 20500 10200 30300 40200 4760 8290 10900 13900 32600 40700 69500 83800 142000 166000 195000 250000 317000 386000

8440 9200 12700 14100 15400 8380 9560 10200 11000 11800 12600 13700 15500 16600 17700 19200 20700 104 159 191 136 177 193 246 311 103 147 188 226 280 337 382 447 500 570 655 805 983 1150

1120 1230 2430 2720 3010 1000 1190 1290 1400 1510 1620 1780 2940 3170 3400 3710 4000 49 76.5 92 38.8 79 56.7 112 142 29.2 28.7 36.5 45.5 78.1 95.5 144 169 235 268 308 379 461 539

44 48 49 52 56 43 48 49 51 54 56 59 60 64 65 68 71 17 19 21 16 16 19 19 21 14 16 17 19 19 21 22 24 24 25 27 30 33 37

55 60 60 60 65 65 65 65 65 70 70 75 80 80 80 80 85 25 30 30 25 25 25 30 30 25 30 30 30 30 30 30 35 35 35 35 40 40 45

27.5 30 30 30 32.5 32.5 32.5 32.5 32.5 35 35 37.5 40 40 40 40 42.5 12.5 15 15 12.5 12.5 12.5 15 15 12.5 15 15 15 15 15 15 17.5 17.5 17.5 17.5 20 20 22.5

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CALCULO

CLCULO DE PLACA EXTREMA: VIGA I - COLUMNA I PARMETROS VALORES COMENTARIOS

1. DATOS PARA EL CLCULO

Tipo de acero de la viga G-50 Esfuerzo de fluencia ( MPa ) 352 MPa Esfuerzo ltimo ( MPa ) 492 MPa Nombre del perfil de viga Altura del Perfil "d" : Ancho del patn "bf " : Espesor del patn "tf" : Espesor del alma "tw" : W14X22 349 mm 127 mm 8.5 mm 5.8 mm

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Momento de diseo " Mp " : 173.4 kN-m Tipo de acero de la columna G-50 Esfuerzo de fluencia ( MPa ) 352 MPa Esfuerzo ltimo ( MPa ) 492 MPa Nombre del perfil de columna W21X62 Espesor del patn de la columna "tfc" : 15.6 mm Momento ltimo, Mux ( kN-m ) : 212.2 kN-m Cortante ltima, Vuy ( kN ) : 35.3 kN Puf ( kN ) 623.2 kN

La viga no cumple por flexin Seleccionar de la lista

Seleccionar de la lista Ingresar Datos Ingresar Datos 1.1*Mp*Ry/(d-tf)

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CALCULO

2. CLCULO DE TORNILLOS

Diametro de pernos deseado 7/8 Grado de pernos deseado A325 Elija el tipo de cortante en el tornillo : X Tipo de conexin a cortante : Deslizamiento crtico Fyb ( MPa ) del tornillo a traccin 620 MPa Fyv ( MPa ) del tornillo a corte 415 MPa Area del perno "Ab" : 388 mm Diametro del perno "db" : 22.2 mm 2.1. CUATRO TORNILLOS EN TENSIN SIN RIGIDIZADOR Se permite utilizar tornillos A490 N de lineas de pernos a traccin 2 N de lineas de pernos a compresin 2 N de pernos por linea 2 Pernos a cortante "fv" : Pernos a deslizamiento "Rstr" : Pernos a traccin "ft" : Ft, por traccin y corte : Largo del tornillo : 2.2. OCHO TORNILLOS, EN TENSIN CON RIGIDIZADOR No se debe utilizar tornillos A490 N de lineas de pernos a traccin 4 N de lineas de pernos a compresin 2 N de pernos por linea 2 Pernos a cortante "fv" : 7.6 MPa Pernos a deslizamiento "Rstr" : 760.7 kN Pernos a traccin "ft" : 268 MPa Ft, por traccin y corte : 620 MPa Largo del tornillo : 92.6 mm Diametro de la tuerca, a : 44.0 mm 11.4 MPa 507.1 kN 402 MPa 620 MPa 92.6 mm

Seleccionar de la lista ( 3/8 , 1/2, 5/8 , etc ) Seleccionar de la lista( A325 ; A490 ) Seleccionar de la lista Seleccionar de la lista

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Si cumple Si cumple No Aplica 3-3/4"

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Si cumple Si cumple No Aplica 3-3/4"

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CALCULO

3. DIMENSIONES DE LA PLACA EXTREMADistancia al borde, "Le" : Distancia entre los bordes del patin y la perforacin, "Pf " : Distancia entre el borde externo del patn y el extremo de la placa, "Pext" : Distancia entre el borde externo del patn y la primera perforacin interna "Pt" :

40 mm 50 mm 90 mm 58.5 mm

Se trabaja con un minimo de 50 mm

Tipo de acero de la placa extrema G-50 Fy ( MPa ) de la placa extrema 352 MPa Fu ( MPa ) de la placa extrema 492 MPa 3.1. CUATRO TORNILLOS EN TENSIN SIN RIGIDIZADOR Aplastamiento del Material : 1228.8 kN Smin lat ( mm ) 66 mm Smax ( mm ) 111 mm Smin columna ( mm ) 99 mm g, requerido : bp max ( mm ) bp min ( mm ) bp escogido ( mm ) 99 mm 152 mm 147 mm 180 mm

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Si cumple y Domina el aplastamiento en la columna

Se recomienda utilizar bfc