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Tabla 1-1 Secciones WT Dimensiones y Propiedades Sección

Peso Area Alto Nomi A d nal

Ala

Alma Espesor

Ancho

Espesor

tw

bf

tf

cm mm 317 559 275 554 248 551 218 546

mm 26.2 22.0 19.9 18.0

mm 404 401 401 401

mm 45.0 40.1 36.1 31.0

2

Distancia k Gramil kdiseño kdet G mm mm mm 65.0 66.7 140 60.2 61.9 140 56.1 57.2 140 51.1 52.4 140

Criterio de Compacidad

Eje x - x I

S

r

y

Z

yp

cm3

cm

cm

cm

cm

19.1 22.3 24.6 27.4

cm4 100 903 762 683 599

2150 1820 1630 1450

16.80 16.60 16.60 16.60

14.0 13.4 13.2 13.1

3830 3210 2880 2570

bf /2tf

d/tw

h/tw

4.50 5.02 5.57 6.45

21.5 25.2 27.6 30.2

3

I

Eje y - y S r

39.1 34.3 31.0 27.2

cm4 cm3 cm 100 250 1230 8.86 217 1080 8.86 192 960 8.81 166 828 8.71

Z

Qs

Propiedades torsionales

Fy=3500

J

Cw

cm4

cm6/1000

1930 1670 1490 1280

Kg/cm2 0.817 0.636 0.532 0.438

1550 1060 774 516

118 73.8 53.7 37.3

cm3

WT22X167.5 WT22X145 WT22X131 WT22X115

Kg/m 250 216 195 172

WT20X296.5 WT20X251.5 WT20X215.5 WT20X198.5 WT20X186 WT20X181 WT20X162 WT20X148.5 WT20X138.5 WT20X124.5 WT20X107.5 WT20X99.5

442 374 321 296 277 270 242 222 206 186 160 148

563 477 409 377 352 344 308 282 263 237 205 188

546 533 523 521 516 516 511 505 503 500 495 490

45.5 39.1 34.0 31.0 29.5 28.4 25.4 23.6 21.1 19.1 16.5 16.5

424 417 411 409 409 406 404 401 401 401 401 401

82.0 70.1 59.9 55.9 52.1 51.1 46.0 41.9 40.1 36.1 31.0 27.2

112 100 89.9 85.9 82.0 81.0 75.9 71.9 70.1 66.0 61.0 57.2

114 102 92.1 88.9 84.1 82.6 77.8 74.6 73.0 68.3 63.5 58.7

190 190 190 190 190 190 190 190 190 190 190 190

2.58 2.98 3.44 3.66 3.93 3.99 4.40 4.80 5.03 5.55 6.45 7.39

12.0 13.7 15.4 16.8 17.5 18.1 20.1 21.4 23.9 26.3 30.0 29.7

9.54 11.1 12.8 14.0 14.7 15.3 17.1 18.4 20.6 22.8 26.3 26.3

1380 1140 953 862 803 778 687 624 566 504 429 411

3420 2850 2430 2200 2060 2000 1770 1620 1450 1300 1110 1090

15.60 15.40 15.30 15.10 15.10 15.00 14.90 14.90 14.70 14.60 14.50 14.80

14.4 13.7 13.2 12.8 12.6 12.5 12.1 12.0 11.4 11.2 10.9 11.4

6210 5150 4360 3930 3690 3560 3150 2880 2570 2290 1970 1920

66.3 57.2 49.5 46.0 43.2 42.2 38.1 35.1 32.8 29.5 25.7 23.6

524 425 351 321 295 288 253 227 217 193 166 144

9.65 9.45 9.27 9.22 9.14 9.14 9.07 8.99 9.09 9.02 8.99 8.76

3930 3230 2690 2460 2260 2210 1950 1750 1670 1490 1270 1120

1.00 1.00 1.00 1.00 1.00 0.993 0.893 0.825 0.699 0.580 0.445 0.452

9200 5740 3670 2940 2400 2260 1650 1270 1070 791 516 380

628 376 237 182 150 137 97.2 74.9 58.5 42.4 27.1 22.4

WT20X196 WT20X165.5 WT20X163.5 WT20X147 WT20X139 WT20X132 WT20X117.5 WT20X105.5 WT20X91.5 WT20X83.5 WT20X74.5

292 247 243 219 208 196 175 157 136 125 111

372 314 310 278 265 250 223 200 172 159 141

528 518 518 513 511 508 503 500 495 490 485

36.1 31.0 30.0 26.9 26.2 24.4 21.1 19.1 16.5 16.5 16.0

315 310 307 305 305 302 302 300 300 300 300

64.0 54.1 54.1 49.0 46.0 43.9 40.1 36.1 30.5 26.2 21.1

94.0 84.1 84.1 79.0 75.9 73.9 70.1 66.0 61.0 56.1 51.1

96.8 85.7 85.7 81.0 77.8 76.2 73.0 68.3 63.5 58.7 54.0

190 190 190 190 190 190 190 190 190 190 190

2.45 2.86 2.85 3.11 3.31 3.45 3.77 4.17 4.92 5.76 7.11

14.7 16.7 17.3 19.1 19.6 20.8 23.9 26.2 30.0 29.7 30.3

12.0 14.0 14.5 16.1 16.8 17.8 20.6 22.8 26.3 26.3 27.1

945 783 766 678 645 604 524 466 398 374 339

2510 2100 2050 1820 1740 1630 1400 1260 1080 1040 978

15.90 15.80 15.70 15.60 15.60 15.50 15.30 15.30 15.20 15.40 15.50

15.1 14.6 14.4 14.0 14.0 13.7 13.1 12.9 12.6 13.2 13.8

4510 3790 3670 3260 3130 2920 2510 2250 1920 1880 1770

59.2 50.8 50.3 45.7 43.4 41.4 36.8 33.3 28.7 27.9 43.7

167 1060 6.71 134 867 6.53 133 864 6.55 117 765 6.48 109 713 6.40 102 677 6.40 92.4 611 6.45 81.2 541 6.38 68.7 459 6.32 58.7 392 6.10 47.5 318 5.82

1740 1400 1390 1230 1150 1080 967 854 721 619 506

1.00 1.00 1.00 1.00 0.913 0.855 0.699 0.581 0.445 0.454 0.435

3550 2190 2140 1590 1350 1160 857 633 402 291 194

214 130 121 86.5 75.7 62.6 41.9 30.3 19.1 16.9 13.9

2470 2030 1700 1570 1450 1410 1260 1130 1080 964 828 723

Tabla 1-1 Secciones WT Dimensiones y Propiedades Sección

Peso Area Alto Nomi A d nal

Ala

Alma Espesor

Ancho

Espesor

tw

bf

tf

cm mm 761 533 620 513 502 498 463 500 419 485 375 480 342 475 313 470 286 467 268 465 248 460 234 457 220 472

mm 60.5 50.0 40.9 38.1 34.5 31.0 28.4 25.9 24.0 22.5 21.3 20.3 22.1

mm 457 447 437 434 432 427 424 422 424 422 422 419 307

mm 109 89.9 73.9 68.1 62.0 55.9 51.1 47.0 42.7 39.9 36.6 34.3 39.9

2

Distancia k Gramil kdiseño kdet G mm mm mm 133 141 190 114 122 190 98.0 106 190 92.2 102 190 86.1 93.7 190 80.0 87.3 190 75.2 82.6 190 71.1 79.4 190 66.8 74.6 190 64.0 71.4 190 60.7 68.3 190 58.4 66.7 190 58.9 61.9 190

Criterio de Compacidad

Eje x - x I

S

r

y

Z

yp

cm3

cm

cm

cm

cm

6.62 7.99 9.78 10.7 11.6 12.9 14.1 15.4 16.7 17.8 18.7 19.7 18.7

cm4 100 1700 1320 1020 924 824 724 653 587 533 495 462 433 450

4330 3410 2690 2460 2200 1950 1750 1590 1460 1350 1270 1200 1290

15.00 14.60 14.20 14.10 14.00 13.90 13.80 13.70 13.60 13.60 13.60 13.60 14.30

14.7 13.6 12.6 12.3 11.9 11.5 11.2 10.9 10.7 10.6 10.5 10.5 12.2

8050 6280 4880 4460 3970 3490 3150 2830 2590 2390 2250 2110 2290

bf /2tf

d/tw

h/tw

2.10 2.48 2.96 3.19 3.48 3.83 4.16 4.49 4.96 5.29 5.75 6.11 3.86

8.94 10.4 12.4 13.1 14.3 15.7 17.0 18.5 19.8 21.0 21.9 22.9 21.3

3

I

Eje y - y S r

Z

cm3

cm

cm3

83.3 69.3 57.4 53.3 48.5 43.9 40.4 37.1 33.8 31.8 29.5 27.9 35.6

cm4 100 874 670 516 466 415 365 327 296 270 249 227 211 97.4

3830 3020 2380 2150 1920 1700 1540 1400 1270 1180 1080 1010 633

10.70 10.40 10.20 10.10 10.00 9.86 9.78 9.73 9.70 9.65 9.55 9.50 6.65

6080 4750 3720 3380 3020 2650 2390 2160 1970 1840 1670 1550 998

Qs

Propiedades torsionales

Fy=3500

Cw J 4 6 Kg/cm2 cm cm /1000 1.00 21900 1560 1.00 12300 824 1.00 6780 430 1.00 5330 336 1.00 4020 245 1.00 2940 175 1.00 2250 132 0.989 1750 100 0.925 1340 76.5 0.865 1090 62.0 0.817 866 49.7 0.768 720 41.6 0.829 820 40.5

WT18X400 WT18X326 WT18X264.5 WT18X243.5 WT18X220.5 WT18X197.5 WT18X180.5 WT18X165 WT18X151 WT18X141 WT18X131 WT18X123.5 WT18X115.5

Kg/m 596 485 394 362 328 294 268 246 224 210 195 184 172

WT18X128 WT18X116 WT18X105 WT18X97 WT18X91 WT18X85 WT18X80 WT18X75 WT18X67.5

190 172 156 144 136 126 119 112 100

243 223 199 184 173 161 152 143 128

475 472 465 462 462 460 457 455 452

24.4 22.1 21.1 19.4 18.4 17.3 16.5 15.9 15.2

310 307 310 307 307 305 305 305 305

43.9 39.9 34.5 32.0 30.0 27.9 25.9 23.9 20.1

63.0 58.9 53.6 51.1 49.0 47.0 45.0 42.9 39.1

66.7 61.9 58.7 55.6 54.0 50.8 49.2 47.6 42.9

140 140 140 140 140 140 140 140 140

3.53 6.54 4.48 4.81 5.12 5.47 5.88 6.37 7.56

19.5 24.0 22.1 23.8 25.1 26.6 27.7 28.7 29.6

16.9 20.7 19.6 21.2 22.4 23.9 25.0 26.0 27.1

504 407 410 375 352 327 308 291 265

1430 1130 1200 1100 1030 965 914 870 814

14.40 13.60 14.40 14.30 14.30 14.20 14.20 14.30 14.40

12.5 10.4 12.4 12.2 12.1 12.0 12.0 12.1 12.6

2560 2000 2150 1970 1850 1720 1640 1560 1480

39.1 26.2 32.3 30.0 28.2 26.4 24.9 23.4 31.2

110 196 85.7 77.8 72.4 66.6 61.2 56.2 47.0

708 934 554 506 472 436 403 369 310

6.73 9.42 6.55 6.50 6.48 6.43 6.35 6.27 6.05

1120 1440 875 800 742 685 633 580 488

0.922 0.714 0.791 0.702 0.637 0.566 0.521 0.486 0.456

1100 595 579 462 383 313 257 210 145

55.1 34.6 32.0 24.9 20.8 17.0 14.4 12.4 10.0

WT16.5X193.5 WT16.5X177 WT16.5X159 WT16.5X145.5 WT16.5X131.5 WT16.5X120.5 WT16.5X110.5 WT16.5X100.5

288 249 237 216 196 180 164 150

368 336 302 276 250 229 210 191

457 452 447 442 439 434 432 427

32.0 29.5 26.4 24.4 22.1 21.1 19.7 18.2

411 409 406 404 401 404 401 399

57.9 53.1 48.0 43.9 39.9 35.6 32.5 29.2

78.0 73.2 68.1 64.0 59.9 55.6 52.3 49.3

81.0 74.6 69.9 66.7 61.9 57.2 54.0 50.8

140 140 140 140 140 140 140 140

3.55 3.85 4.23 4.60 5.03 5.66 6.20 6.85

14.3 15.3 16.9 18.1 19.8 20.6 21.9 23.6

11.8 12.8 14.3 15.5 17.1 18.0 19.2 20.8

608 549 483 441 393 363 333 302

1750 1590 1410 1280 1150 1080 996 909

12.90 12.80 12.70 12.60 12.50 12.60 12.60 12.60

10.8 10.5 10.2 10.0 9.7 9.8 9.7 9.6

3160 2850 2520 2290 2050 1900 1750 1600

44.7 41.1 37.1 34.3 31.2 28.4 26.2 23.9

337 303 268 242 215 194 175 156

1640 1480 1320 1200 1070 964 872 780

9.58 9.50 9.42 9.35 9.27 9.19 9.12 9.04

2560 2310 2050 1850 1660 1490 1350 1200

1.00 1.00 1.00 0.991 0.905 0.867 0.801 0.717

3080 2380 1750 1350 1010 749 579 433

165 126 90.0 68.7 50.5 39.2 30.3 22.8

WT16.5X84.5 WT16.5X76 WT16.5X70.5 WT16.5X65 WT16.5X59

125 113 105 96.5 88.0

160 145 134 124 112

429 424 424 419 417

17.0 16.1 15.4 14.7 14.0

292 295 292 292 292

31.0 26.9 24.4 21.7 18.8

48.8 44.7 42.2 39.6 36.6

54.0 49.2 46.0 44.5 41.3

140 140 140 140 140

4.71 5.48 6.01 6.73 7.76

25.2 26.4 27.5 28.5 29.9

22.4 23.6 24.8 25.8 27.3

270 246 230 214 195

837 777 733 690 642

13.00 13.10 13.10 13.20 13.20

10.7 10.8 10.9 11.1 11.4

1490 1380 1310 1240 1160

27.4 24.6 22.9 21.1 21.9

64.5 56.6 51.2 45.4 38.9

442 387 349 310 267

6.35 6.27 6.17 6.05 5.89

690 605 547 487 420

0.628 0.575 0.528 0.492 0.448

367 256 201 153 110

14.9 11.5 9.51 7.87 6.28

Tabla 1-1 Secciones WT Dimensiones y Propiedades Sección

Peso Area Alto Nomi A d nal

Ala

Alma Espesor

Ancho

Espesor

tw

bf

tf

cm mm 372 422 339 417 309 411 277 406 248 401 223 399 201 394 181 389

mm 34.5 31.5 29.0 25.9 23.6 21.1 19.7 18.0

mm 396 394 391 389 386 384 384 381

mm 62.0 56.9 52.1 47.0 41.9 38.1 33.5 30.2

2

Distancia k Gramil kdiseño kdet G mm mm mm 82.0 85.7 140 77.0 79.4 140 72.1 74.6 140 67.1 69.9 140 62.0 65.1 140 58.2 60.3 140 53.3 57.2 140 50.0 52.4 140

Criterio de Compacidad

Eje x - x I

S

r

y

Z

yp

cm3

cm

cm

cm

cm

9.83 10.8 11.7 13.1 14.4 16.1 17.2 18.8

cm4 100 508 454 408 358 318 281 254 229

1590 1430 1290 1140 1020 903 828 749

11.70 11.60 11.50 11.40 11.30 11.20 11.30 11.20

10.2 9.8 9.6 9.2 9.0 8.7 8.6 8.5

2900 2610 2340 2050 1840 1610 1470 1320

bf /2tf

d/tw

h/tw

3.19 3.45 3.75 4.12 4.59 5.02 5.74 6.35

12.2 13.2 14.2 15.7 17.0 18.9 20.0 21.6

3

I

Eje y - y S r

Z

cm3

cm

cm3

47.0 43.2 39.6 35.8 32.3 29.2 26.2 23.7

cm4 100 322 288 259 229 200 178 157 140

1630 1470 1330 1180 1040 931 821 733

9.32 9.25 9.14 9.09 8.97 8.92 8.86 8.79

Qs

Propiedades torsionales

Fy=3500

J

Cw

cm4

cm6/1000

2540 2290 2060 1820 1600 1430 1270 1130

Kg/cm2 1.00 1.00 1.00 1.00 1.00 0.955 0.899 0.816

3590 2770 2130 1560 1120 837 587 437

171 128 96.9 69.0 49.4 35.7 25.9 19.1

WT15X195.5 WT15X178.5 WT15X163 WT15X146 WT15X130.5 WT15X117.5 WT15X105.5 WT15X95.5

Kg/m 291 266 242 217 194 175 157 142

WT15X86.5 WT15X74 WT15X66 WT15X62 WT15X58 WT15X54 WT15X49.5 WT15X45

128 110 98.0 92.5 86.5 80.5 73.5 67.0

165 140 125 117 110 103 93.5 85.2

386 389 386 384 381 378 376 376

16.6 16.5 15.6 14.9 14.4 13.8 13.2 11.9

381 267 267 267 267 267 267 264

27.2 30.0 25.4 23.6 21.6 19.3 17.0 15.5

47.0 46.5 41.9 40.1 38.1 35.8 33.5 32.0

50.8 52.4 47.6 46.0 44.5 42.9 39.7 38.1

140 140 140 140 140 140 140 140

7.40 4.44 5.27 5.65 6.17 6.89 7.80 8.52

23.2 23.6 24.6 25.8 26.6 27.4 28.5 31.4

20.4 20.8 22.0 23.1 23.9 24.8 26.0 28.7

207 194 175 165 155 145 134 121

683 665 613 578 552 524 492 444

11.20 11.80 11.80 11.80 11.90 11.90 12.00 11.90

8.4 9.8 9.9 9.9 10.0 10.2 10.4 10.3

1200 1180 1090 1030 990 946 891 803

21.6 26.4 23.4 22.0 20.7 19.2 23.2 21.2

124 47.5 40.8 37.6 34.2 30.4 26.6 23.9

654 356 305 282 256 228 200 180

8.69 5.79 5.72 5.66 5.56 5.46 5.33 5.31

1010 556 479 442 403 359 316 283

0.733 0.715 0.662 0.602 0.567 0.534 0.492 0.405

324 301 202 166 134 104 78.3 58.7

14.2 10.1 7.65 6.42 5.51 4.65 3.84 2.82

WT13.5X269.5 WT13.5X184 WT13.5X168 WT13.5X153.5 WT13.5X140.5 WT13.5X129 WT13.5X117.5 WT13.5X108.5 WT13.5X97 WT13.5X89 WT13.5X80.5 WT13.5X73

401 274 250 228 210 192 175 162 114 132 120 108

512 350 319 292 267 245 224 206 185 169 154 139

414 386 381 376 371 368 363 361 358 353 351 348

50.0 35.1 32.0 29.5 26.9 24.9 23.1 21.1 19.1 18.4 16.8 15.4

389 373 371 366 366 363 361 358 356 358 356 356

89.9 63.0 57.9 53.1 49.0 45.0 40.9 38.1 34.0 30.2 27.4 24.8

110 83.1 78.0 73.2 69.1 65.0 61.0 58.2 54.1 50.3 47.5 44.7

113 85.7 81.0 76.2 71.4 68.3 63.5 60.3 57.2 52.4 50.8 47.6

140 140 140 140 140 140 140 140 140 140 140 140

2.15 2.96 3.19 3.46 3.72 4.03 4.41 4.71 5.24 5.92 6.49 7.16

8.25 11.0 11.9 12.8 13.8 14.8 15.7 17.1 18.7 19.2 20.9 22.6

6.06 8.64 9.47 10.3 11.3 12.2 13.1 14.4 15.9 16.5 18.1 19.7

637 391 349 313 282 255 231 209 185 172 155 140

2100 1340 1200 1090 982 896 819 741 660 626 564 511

11.20 10.60 10.50 10.40 10.30 10.20 10.20 10.10 10.00 10.10 10.00 10.00

11.0 9.4 9.1 8.8 8.5 8.3 8.1 7.9 7.7 7.7 7.6 7.5

3970 2470 2210 1980 1790 1620 1470 1330 1180 1110 996 901

66.0 47.0 43.2 39.6 36.6 33.8 31.0 28.7 25.9 23.7 21.6 19.6

441 273 244 219 199 179 160 147 129 116 103 92.4

2260 1460 1320 1190 1090 987 888 818 723 646 580 519

9.27 8.84 8.76 8.66 8.61 8.53 8.46 8.43 8.36 8.26 8.20 8.13

3570 2290 2060 1850 1690 1530 1370 1260 1110 996 893 800

1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.961 0.938 0.851 0.764

10300 3520 2720 2100 1650 1280 974 783 562 416 313 234

467 143 108 81.6 62.3 47.8 36.3 28.2 20.0 15.5 11.5 8.51

WT13.5X64.5 WT13.5X57 WT13.5X51 WT13.5X47 WT13.5X42

96.0 85.0 76.0 70.0 62.5

122 108 96.8 89 80

351 345 343 343 340

15.5 14.5 13.1 12.4 11.7

254 257 254 254 254

27.9 23.6 21.1 18.9 16.3

43.2 38.9 36.3 34.0 31.5

50.8 46.0 44.5 41.3 39.7

140 140 140 140 140

4.55 5.41 6.03 6.70 7.78

22.6 23.9 26.3 27.5 29.0

19.9 21.3 23.5 24.7 26.3

134 120 107 100 89.9

508 464 415 390 359

10.50 10.50 10.50 10.60 10.60

8.6 8.7 8.6 8.7 8.8

903 826 737 695 642

24.0 21.1 19.1 17.6 15.8

38.4 33.0 29.0 25.8 22.0

302 259 228 203 174

5.61 5.54 5.46 5.38 5.26

472 403 356 318 272

0.763 0.698 0.578 0.530 0.475

231 152 109 83.7 58.3

6.44 4.70 3.38 2.74 2.09

Tabla 1-1 Secciones WT Dimensiones y Propiedades Sección

Peso Area Alto Nomi A d nal 2

WT12X185 WT12X167.5 WT12X153 WT12X139.5 WT12X125 WT12X114.5 WT12X103.5 WT12X96 WT12X88 WT12X81 WT12X73 WT12X65.5 WT12X58.5 WT12X52

Kg/m cm 276 351 249 317 228 290 208 265 186 237 170 217 154 196 142 181 131 166 120 154 108 139 97.5 125 87.0 111 77.5 98.7

Ala

Alma Espesor

Ancho

Espesor

tw

bf

tf

mm 356 351 345 340 335 330 328 323 320 318 315 310 307 305

mm 38.6 35.1 32.0 29.5 26.4 24.4 22.1 20.6 19.1 17.9 16.5 15.4 14.0 12.7

mm 348 343 340 338 335 333 330 330 328 330 328 328 325 325

mm 69.1 63.0 57.9 53.1 48.0 43.9 39.9 37.1 34.0 31.0 27.7 24.4 21.6 19.1

Distancia k Gramil kdiseño kdet G mm mm mm 81.8 92.1 140 75.7 85.7 140 70.6 81.0 140 65.8 76.2 140 60.7 71.4 140 56.6 66.7 140 52.6 63.5 140 49.8 60.3 140 46.7 57.2 140 43.7 54.0 140 40.4 50.8 140 37.1 47.6 140 34.3 44.5 140 31.8 41.3 140

Criterio de Compacidad

Eje x - x I

S

r

y

Z

yp

cm

cm

cm

7.09 7.81 8.56 9.29 10.4 11.2 12.4 13.3 14.4 15.3 16.6 17.8 19.6 21.6

cm4 cm cm3 100 324 1220 9.60 286 1090 9.47 254 973 9.37 227 878 9.27 199 773 9.17 179 703 9.09 159 628 9.02 146 577 8.97 133 528 8.92 122 490 8.89 110 446 8.89 99.1 406 8.94 88.2 365 8.92 78.7 328 8.92

9.1 8.7 8.4 8.1 7.8 7.5 7.3 7.1 7.0 6.9 6.8 6.7 6.7 6.6

2290 2020 1800 1620 1420 1280 1140 1040 947 873 790 719 642 575

bf /2tf

d/tw

h/tw

2.51 2.73 2.94 3.18 3.49 3.79 4.14 4.43 4.81 5.31 5.92 6.70 7.53 8.50

9.21 10.0 10.8 11.5 12.7 13.6 14.8 15.7 16.8 17.7 19.0 20.2 22.1 24.1

3

I

Eje y - y S r

Z

cm3

cm

cm3

50.5 46.2 42.4 39.1 35.3 32.5 29.7 27.7 25.4 23.4 21.2 19.1 17.1 15.2

cm4 100 242 214 191 171 151 136 120 110 100 92.0 81.2 70.8 62.0 54.1

1390 1240 1120 1010 900 814 728 670 610 560 497 434 380 333

8.31 8.20 8.13 8.05 7.98 7.90 7.82 7.80 7.72 7.75 7.65 7.54 7.47 7.39

Qs

Propiedades torsionales

Fy=3500

J

Cw

cm4

cm6/1000

2180 1950 1750 1580 1400 1260 1120 1030 939 862 764 667 585 511

Kg/cm2 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.946 0.885 0.793 0.692

4160 3150 2430 1880 1380 1060 795 637 495 384 279 197 139 97.8

149 109 81.9 61.8 44.3 33.6 24.5 19.5 15.0 11.8 8.57 6.20 4.40 3.12

WT12X51.5 WT12X47 WT12X42 WT12X38 WT12X34

76.5 70.0 62.5 56.5 50.5

97.4 89 80 72.3 64.5

312 310 307 305 302

14.0 13.1 11.9 11.2 10.5

229 230 229 228 228

24.9 22.2 19.6 17.3 14.9

37.6 35.1 32.3 30.0 27.7

47.6 44.5 42.9 39.7 38.1

140 140 140 140 140

4.59 5.18 5.86 6.61 7.66

22.3 23.6 25.6 27.2 28.6

19.6 20.9 22.9 24.5 26.0

84.9 77.4 69.1 62.9 57.0

361 333 300 277 256

9.32 9.32 9.32 9.35 9.40

7.7 7.6 7.5 7.6 7.8

642 592 533 493 457

21.4 19.4 17.4 15.8 14.2

24.8 22.7 19.6 17.2 14.7

218 197 172 150 129

5.05 5.03 4.95 4.88 4.75

339 306 267 234 202

0.781 0.715 0.609 0.541 0.489

147 109 76.6 55.8 38.8

3.30 2.57 1.85 1.42 1.10

WT12X31 WT12X27.5

46.0 41.0

58.8 302 52.3 300

10.9 10.0

179 178

15.0 12.8

30.2 25.7

38.1 36.5

90 90

5.97 6.94

27.6 29.8

24.8 27.0

54.5 48.7

256 231

9.63 9.65

8.8 8.9

465 420

32.5 38.9

7.16 80.3 6.04 68.0

3.51 3.40

129 109

0.525 0.449

35.4 24.5

1.05 0.787

WT10.5X100.5 WT10.5X91 WT10.5X83 WT10.5X73.5 WT10.5X66 WT10.5X61 WT10.5X55.5 WT10.5X50.5

150 136 124 110 98.0 91.0 82.5 75.0

191 173 157 139 125 115 105 96.1

23.1 21.1 19.1 18.3 16.5 15.2 14.0 12.7

320 318 315 318 315 315 312 312

41.4 37.6 34.5 29.2 26.4 24.4 22.2 20.3

54.1 50.3 47.2 41.9 39.1 37.1 35.1 33.0

63.5 60.3 57.2 50.8 49.2 46.0 44.5 42.9

140 140 140 140 140 140 140 140

3.86 4.22 4.57 5.44 6.01 6.45 7.05 7.68

12.7 13.7 15.0 15.3 16.8 18.1 19.6 21.4

10.3 11.3 12.5 13.0 14.4 15.6 17.1 18.8

119 105 94.1 84.9 75.3 69.1 62.4 56.2

523 467 418 388 346 316 287 259

7.87 7.80 7.72 7.82 7.77 7.72 7.70 7.65

6.5 6.3 6.1 6.1 5.9 5.8 5.7 5.5

960 854 759 695 616 562 508 457

30.0 27.2 25.0 21.9 19.8 18.4 16.8 15.4

113 100 90.3 78.3 69.1 63.3 57.0 51.6

7.67 7.62 7.59 7.49 7.44 7.39 7.37 7.34

1090 975 883 759 674 619 559 505

1.00 1.00 1.00 1.00 1.00 0.995 0.919 0.828

849 637 491 320 234 186 142 108

22.9 16.9 12.7 8.73 6.28 4.94 3.71 2.79

292 290 284 279 277 274 274 272

706 633 574 492 438 403 364 331

Tabla 1-1 Secciones WT Dimensiones y Propiedades Sección

Peso Area Alto Nomi A d nal 2

Ala

Alma Espesor

Ancho

Espesor

tw

bf

tf

mm 274 272 269 269 267 264 262

mm 14.7 13.1 11.6 10.9 10.2 9.53 8.89

mm 214 212 211 210 209 209 207

mm 23.6 21.2 18.8 17.4 15.6 13.3 10.9

Distancia k Gramil kdiseño kdet G mm mm mm 36.3 41.3 140 34.0 38.1 140 31.5 36.5 140 30.2 34.9 140 28.4 33.3 140 25.9 30.2 140 23.6 28.6 140

Criterio de Compacidad

Eje x - x I

S

r

y

Z

yp

cm3

cm

cm

cm

cm

16.2 18.2 20.6 21.8 23.4 25.0 26.8

cm4 100 59.9 52.9 45.8 42.9 39.0 35.1 31.2

293 257 226 211 195 179 162

8.26 8.18 8.15 8.13 8.15 8.20 8.28

7.0 6.8 6.6 6.6 6.6 6.7 7.0

521 459 400 375 346 318 292

bf /2tf

d/tw

h/tw

4.53 5.00 5.60 6.04 6.70 7.87 9.47

18.6 20.8 23.3 24.6 26.2 27.7 29.5

3

I

Eje y - y S r

Z

cm

cm3

20.6 18.5 16.4 15.4 14.1 12.5 11.7

cm4 cm3 100 19.3 180 16.9 160 14.7 139 13.5 128 11.9 114 10.1 96.5 8.07 78.0

4.67 4.65 4.60 4.57 4.50 4.39 4.22

Qs

Propiedades torsionales

Fy=3500

J

Cw

cm4

cm6/1000

283 249 218 200 179 150 122

Kg/cm2 0.966 0.856 0.728 0.666 0.581 0.520 0.461

125 89.9 62.9 50.8 38 25.7 16.6

2.51 1.75 1.19 0.972 0.747 0.559 0.408

WT10.5X46.5 WT10.5X41.5 WT10.5X36.5 WT10.5X34 WT10.5X31 WT10.5X27.5 WT10.5X24

Kg/m 69.0 61.5 54.5 50.5 46.0 41.0 36.0

WT10.5X28.5 WT10.5X25 WT10.5X22

42.5 37.0 3.00

54 267 47.5 264 41.9 262

10.3 9.65 8.89

167 166 165

16.5 13.6 11.4

29.2 26.4 24.1

33.3 31.8 28.6

90 90 140

5.04 6.10 7.22

26.0 27.4 29.5

23.2 24.7 26.8

37.6 33.4 29.6

193 175 159

8.36 8.38 8.41

7.2 7.4 7.6

347 318 288

16.2 19.6 26.9

6.37 76.5 5.20 62.6 4.29 52.1

3.43 3.30 3.20

121 100 83.1

0.592 0.532 0.459

36.8 23.7 15.9

0.671 0.508 0.376

WT9X155.5 WT9X141.5 WT9X129 WT9X117 WT9X105.5 WT9X96 WT9X87.5 WT9X79 WT9X71.5 WT9X65 WT9X59.5 WT9X53 WT9X48.5 WT9X43 WT9X38

232 210 192 174 158 143 130 118 106 96.5 88.5 79.0 72.0 64.0 56.5

295 268 245 222 201 182 166 150 135 123 113 101 92.3 81.9 72.3

284 277 272 267 262 259 254 250 248 245 241 238 236 234 231

38.6 35.6 32.5 29.5 26.9 24.4 22.6 20.6 18.5 17.0 16.6 15.0 13.6 12.2 10.8

305 302 300 297 295 292 290 287 284 284 287 284 282 282 279

69.6 63.5 58.4 53.6 48.5 44.5 40.4 36.6 33.5 30.5 26.9 23.9 22.1 19.6 17.3

82.3 76.2 68.6 63.8 58.7 54.6 50.5 46.7 43.7 40.6 37.1 34.0 32.3 29.7 27.4

87.3 4.76 76.2 69.9 14.3 61.9 61.9 60.3 55.6 52.4 49.2 46.0 44.5 41.3 39.7

140 140 140 140 140 140 140 140 140 140 140 140 140 140 140

2.19 2.38 2.56 2.76 3.02 3.27 3.58 3.92 4.25 4.65 5.31 5.96 6.41 7.20 8.11

7.34 7.80 8.38 9.08 9.75 10.6 11.3 12.2 13.3 14.4 14.5 15.9 17.4 19.2 21.4

5.21 5.66 6.27 6.91 7.57 8.36 9.02 9.90 11.0 12.0 12.2 13.6 15.0 16.7 18.9

159 140 124 109 95.3 84.1 75.3 66.6 59.1 52.9 49.5 43.3 39.0 34.3 29.9

764 680 606 536 477 423 383 341 303 274 261 231 208 184 161

7.34 7.24 7.11 6.99 6.91 6.81 6.76 6.68 6.60 6.55 6.60 6.58 6.50 6.48 6.45

7.4 7.1 6.8 6.5 6.2 5.9 5.7 5.5 5.3 5.1 5.2 5.0 4.9 4.7 4.6

1480 1310 1160 1020 901 795 714 631 557 500 470 413 370 326 283

48.5 44.5 40.9 37.6 34.0 31.2 28.7 25.9 23.8 21.7 19.8 17.7 16.3 14.5 12.8

166 1080 7.49 147 970 7.39 131 875 7.32 116 785 7.24 102 700 7.16 91.6 629 7.09 81.6 564 7.01 72.4 503 6.96 64.9 454 6.91 57.9 408 6.86 52.4 369 6.83 45.8 323 6.76 41.6 295 6.73 36.5 259 6.68 31.7 226 6.63

1700 1520 1360 1220 1080 973 870 777 700 628 565 495 452 397 346

1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.939 0.825

3630 2770 2130 1630 1210 928 699 520 399 301 221 155 122 84.9 58.7

91.0 67.4 50.8 37.6 27.4 20.3 15.2 11.1 8.24 6.12 4.67 3.25 2.49 1.72 1.17

WT9X35.5 WT9X32.5 WT9X30 WT9X27.5 WT9X25

53.0 48.5 44.5 41.0 37.0

67.1 61.6 56.9 52.3 47.3

235 233 232 230 229

12.6 11.4 10.5 9.91 9.02

194 193 192 191 191

20.6 19.1 17.7 16.0 14.5

30.7 29.2 27.9 26.2 24.7

38.1 36.5 34.9 33.3 31.8

90 90 90 90 90

4.71 5.06 5.44 5.98 6.57

18.7 20.4 22.0 23.2 25.3

16.2 17.8 19.3 20.6 22.6

32.5 29.4 26.9 24.8 22.3

184 166 152 141 128

6.96 6.91 6.88 6.88 6.86

5.7 5.6 5.5 5.5 5.4

328 295 270 251 226

17.3 16.0 14.8 13.7 12.4

12.5 129 11.4 118 10.4 109 9.37 97.8 8.32 87.7

4.32 4.29 4.27 4.24 4.19

202 184 169 152 136

0.965 0.877 0.797 0.734 0.623

72.4 56.6 45 34.5 25.8

1.06 0.808 0.631 0.494 0.365

WT9X23 WT9X20 WT9X17.5

34.0 30.0 2.00

43.7 229 37.9 227 33.2 225

9.14 8.00 7.62

154 153 152

15.4 13.3 10.8

25.7 23.5 21.0

31.8 30.2 28.6

90 90 90

5.01 5.73 7.06

25.1 28.4 29.5

22.3 25.5 26.7

21.7 18.6 16.7

127 110 102

7.04 7.01 7.09

5.9 5.8 6.1

228 197 184

14.2 12.4 11.4

4.70 60.8 3.98 51.9 3.19 42.0

3.28 3.23 3.10

95.7 81.4 65.9

0.636 0.495 0.460

25.3 16.8 10.5

0.322 0.212 0.161

cm 88.4 78.7 69 64.5 58.9 52.3 45.6

Tabla 1-1 Secciones WT Dimensiones y Propiedades Sección

Peso Area Alto Nomi A d nal 2

Ala

Alma Espesor

Ancho

Espesor

tw

bf

tf

Distancia k Gramil kdiseño kdet G mm mm mm 35.3 47.6 90 40.1 44.5 90 37.3 41.3 90 34.8 39.7 90

Criterio de Compacidad

Eje x - x I

yp

S

r

y

Z

cm3

cm

cm

cm

cm

I

bf /2tf

d/tw

h/tw

5.29 5.92 6.77 7.70

14.5 16.0 18.2 20.7

11.6 12.9 14.9 17.2

cm4 100 32.0 28.0 23.7 20.2

187 166 141 121

5.79 5.77 5.69 5.64

4.5 4.3 4.1 4.0

339 297 251 213

17.9 16.0 13.9 12.2

cm4 100 38.8 33.8 28.8 24.8

Qs

Propiedades torsionales

Fy=3500

J

Cw

cm4

cm6/1000

449 393 336 290

Kg/cm2 1.00 1.00 0.990 0.863

160 113 74.1 49.5

2.79 1.93 1.24 0.808

4.06 4.04 3.99 3.96 3.86

154 134 118 104 88.8

0.942 0.826 0.726 0.581 0.554

45.8 31.6 23.1 16.5 11.3

0.534 0.360 0.262 0.181 0.139

2.58 36.7 1.99 28.5

2.97 2.84

57.5 44.7

0.480 0.406

9.6 5.4

0.0983 0.0653

76.2 70.4 64.8 59.7 54.9 50.5 47.8 44.7 41.9 39.1 35.8 32.8 30.0 27.4 24.9 22.9 21.0 19.1 17.5

982 866 766 678 599 533 491 454 414 376 336 301 268 240 214 194 174 156 141

4330 3870 3460 3100 2770 2490 2310 2150 1980 1800 1630 1470 1320 1190 1070 972 877 788 716

11.90 11.70 11.60 11.40 11.30 11.10 11.00 10.90 10.80 10.80 10.70 10.60 10.50 10.40 10.30 10.30 10.20 10.20 10.10

6690 5980 5340 4790 4280 3830 3560 3290 3030 2770 2490 2250 2020 1800 1620 1480 1330 1200 1080

1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00

29700 23100 17900 13800 10600 8160 6830 5620 4580 3680 2810 2160 1640 1230 924 720 549 410 315

1410 1050 787 585 435 325 266 215 172 135 101 75.5 56.1 41.4 30.3 23.4 17.5 12.9 9.75

16.7 15.3 13.9 12.7 11.6

114 103 92.8 83.7 75.3

610 552 501 452 410

9.55 9.50 9.47 9.42 9.40

926 839 759 685 619

1.00 1.00 1.00 1.00 1.00

255 194 148 112 84.5

7.14 5.37 4.03 2.98 2.23

cm

cm3

293 257 220 190

6.38 6.32 6.27 6.25

99.3 86.2 76.5 67.5 57.4

10.5 9.45

3460 2980 2570 2230 1920 1670 1500 1360 1220 1080 946 826 719 626 547 482 431 374 331 305 270 236 211 188

WT8X50 WT8X44.5 WT8X38.5 WT8X33.5

cm 94.8 84.5 72.9 63.5

mm 216 213 210 208

mm 14.9 13.3 11.6 10.0

mm 264 264 262 259

mm 25.0 22.2 19.3 16.9

WT8X28.5 WT8X25 WT8X22.5 WT8X20 WT8X18

42.5 37.5 33.5 30.0 26.5

54.1 47.5 42.8 38 34.1

209 207 205 203 201

10.9 9.65 8.76 7.75 7.49

181 180 179 178 178

18.2 16.0 14.4 12.8 10.9

28.4 26.2 24.6 23.0 21.1

34.9 33.3 31.8 30.2 28.6

90 90 90 90 90

4.98 5.61 6.23 6.93 8.12

19.1 21.4 23.4 26.2 26.9

16.5 18.7 20.6 23.3 24.1

20.3 127 17.6 111 15.7 100 13.8 87.7 12.7 82.8

6.12 6.10 6.07 6.02 6.12

4.9 4.8 4.7 4.6 4.8

226 197 177 155 146

15.0 13.2 12.0 10.7 9.60

8.99 7.74 6.83 5.99 5.08

WT8X15.5 WT8X13

23.1 19.4

29.4 202 24.8 199

6.99 6.35

140 140

11.2 8.76

21.4 19.0

28.6 27.0

90 90

6.28 7.97

28.9 31.4

25.8 28.4

11.4 76.0 9.78 67.0

6.22 6.27

5.1 5.3

136 121

WT7X365 WT7X332.5 WT7X302.5 WT7X275 WT7X250 WT7X227.5 WT7X213 WT7X199 WT7X185 WT7X171 WT7X155.5 WT7X141.5 WT7X128.5 WT7X116.5 WT7X105.5 WT7X96.5 WT7X88 WT7X79.5 WT7X72.5

543 495 450 409 372 338 317 296 276 546 232 210 191 174 157 144 131 118 108

690 631 574 522 474 432 404 377 351 325 295 268 244 221 200 183 167 151 137

284 274 267 257 249 242 237 232 228 223 217 213 208 204 200 197 193 190 188

78.0 71.9 66.0 60.5 55.6 51.3 47.8 45.0 42.2 39.1 35.8 32.8 30.0 27.2 24.9 22.6 21.1 18.9 17.3

455 450 442 437 432 427 424 422 419 417 411 409 406 404 401 399 399 396 394

125 115 106 97.0 88.9 81.5 77.2 72.4 67.6 62.7 57.4 52.6 48.0 43.7 39.6 36.6 33.3 30.2 27.7

140 130 121 112 104 96.8 92.2 87.4 82.8 78.0 72.6 67.8 63.2 58.9 54.9 51.8 48.5 45.5 42.9

157 148 138 130 122 114 110 105 100 95.3 90.5 85.7 81.0 76.2 73.0 69.9 66.7 63.5 60.3

75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75 75-190-75

1.82 1.95 2.09 2.25 2.43 2.62 2.75 2.92 3.10 3.31 3.59 3.89 4.23 4.62 5.06 5.45 5.97 6.54 7.11

3.65 3.82 4.03 4.25 4.47 4.72 4.98 5.17 5.41 5.69 6.07 6.49 6.97 7.50 8.02 8.70 9.17 10.1 10.9

1.86 2.01 2.20 2.40 2.60 2.83 3.04 3.22 3.45 3.70 4.04 4.42 4.85 5.33 5.82 6.41 6.87 7.65 8.39

308 1560 6.65 259 1350 6.40 218 1160 6.17 184 998 5.94 156 864 5.74 134 752 5.56 119 678 5.44 107 616 5.33 95.3 556 5.21 84.5 498 5.11 73.3 438 4.98 63.7 385 4.88 55.4 339 4.78 48.3 298 4.67 42.5 265 4.60 37.4 236 4.52 33.5 213 4.47 29.2 187 4.39 26.0 167 4.34

8.8 8.3 7.8 7.2 6.8 6.4 6.1 5.8 5.6 5.3 5.0 4.7 4.5 4.2 4.0 3.8 3.6 3.4 3.3

WT7X66 WT7X60 WT7X54.5 WT7X49.5 WT7X45

98.0 89.5 81.0 73.5 67.0

125 114 103 94.2 85.2

186 184 182 180 178

16.4 15.0 13.3 12.3 11.2

373 373 371 371 368

26.2 23.9 21.8 19.8 18.0

41.4 39.1 37.1 35.1 33.3

58.7 57.2 55.6 52.4 50.8

140 140 140 140 140

7.15 7.80 8.49 9.34 10.2

11.4 12.3 13.6 14.6 15.9

8.84 9.66 10.9 11.8 13.0

24.1 21.5 18.9 17.0 15.2

3.3 3.2 3.0 2.9 2.8

4.39 4.34 4.27 4.24 4.22

Z

cm3

3

Kg/m 74.5 66.0 57.0 50.0

157 141 124 113 101

Eje y - y S r

Tabla 1-1 Secciones WT Dimensiones y Propiedades Sección

Peso Area Alto Nomi A d nal

Ala

Alma Espesor

Ancho

Espesor

tw

bf

tf

Distancia k Gramil kdiseño kdet G mm mm mm

Criterio de Compacidad

Eje x - x

Eje y - y S r

yp

I

cm

cm

cm4 100

cm3

cm

cm3

I

S

r

y

Z

cm3

cm

cm

bf /2tf

d/tw

h/tw

cm4 100

140 140 140 140

5.92 6.41 6.97 7.75

14.0 15.7 16.9 18.5

11.2 12.7 13.8 15.2

17.1 117 15.0 102 13.6 93.2 12.0 83.1

4.70 4.62 4.60 4.57

3.5 3.4 3.3 3.2

216 188 170 150

15.1 13.7 12.6 11.4

30.8 27.8 25.3 22.4

239 218 198 175

6.30 6.30 6.25 6.22

38.1 36.5 34.9

140 140 140

6.11 6.75 7.54

18.8 20.3 22.4

15.4 16.8 18.7

11.5 81.0 10.4 73.6 9.12 65.2

4.78 4.78 4.72

3.5 3.4 3.3

145 131 116

12.3 11.2 10.0

12.0 117 10.7 105 9.41 92.6

23.2 21.7 19.9

31.8 30.2 28.6

90 90 90

6.57 7.41 8.74

22.7 24.5 25.6

19.8 21.5 22.7

9.70 69.2 8.70 62.8 7.91 58.2

5.18 5.18 5.26

3.9 3.9 4.0

122 110 102

10.5 9.42 8.36

10.7 8.51

20.8 18.7

28.6 27.0

70 70

5.98 7.46

27.3 29.9

24.1 26.7

7.20 54.2 6.16 47.7

5.38 5.44

4.4 4.5

96.5 85.2

340 335 333 330 328 325 323 320 318 315 312 310 310 307 307 305 305

75.2 68.8 62.7 57.2 52.6 48.3 44.2 39.6 35.6 31.8 28.2 25.1 22.9 20.6 18.7 17.0 15.4

90.2 83.8 78.0 72.4 67.8 63.5 59.2 54.9 50.8 47.0 43.2 40.4 38.1 35.8 33.8 32.3 30.5

98.4 92.1 85.7 79.4 74.6 71.4 66.7 61.9 58.7 54.0 50.8 47.6 46.0 42.9 41.3 39.7 38.1

140 140 140 140 140 140 140 140 140 140 140 140 140 140 140 140 140

2.26 2.45 2.66 2.89 3.11 3.37 3.65 4.03 4.46 4.96 5.57 6.17 6.76 7.48 8.22 8.99 9.92

4.74 5.02 5.18 5.52 5.86 6.23 6.78 7.31 7.88 8.49 9.24 10.6 11.6 12.2 13.2 14.2 15.5

2.74 2.99 3.17 3.48 3.78 4.12 4.58 5.06 5.58 6.15 6.84 7.96 8.83 9.43 10.3 11.3 12.5

79.1 67.4 58.7 50.4 44.1 38.3 32.9 28.2 24.3 21.1 18.1 15.1 13.3 12.0 10.7 9.66 8.57

511 442 395 342 303 269 233 202 177 155 135 113 100 91.8 82.4 74.4 66.5

4.98 4.83 4.72 4.60 4.50 4.39 4.27 4.19 4.11 4.04 3.99 3.89 3.84 3.81 3.78 3.76 3.73

5.9 5.5 5.2 4.9 4.6 4.4 4.1 3.9 3.6 3.4 3.3 3.0 2.9 2.8 2.7 2.6 2.5

9.14 8.76

254 254

16.3 14.6

31.5 29.7

38.1 34.9

140 140

7.82 8.69

16.9 17.5

13.5 14.1

7.95 61.6 7.37 58.0

3.81 3.84

9.40

205

16.3

29.0

38.1

140

6.31

16.5

13.4

7.78 62.1

4.06

Kg/m

2

cm

mm

mm

mm

mm

WT7X41 WT7X37 WT7X34 WT7X30.5

61.0 55.0 50.5 45.5

77.4 70.3 64.5 57.8

182 180 178 177

13.0 11.4 10.5 9.53

257 257 254 254

21.7 19.9 18.3 16.4

36.8 35.1 33.3 31.5

42.9 41.3 39.7 38.1

WT7X26.5 WT7X24 WT7X21.5

39.5 36.0 32.0

50.3 177 45.6 175 40.7 173

9.40 8.64 7.75

205 204 203

16.8 15.1 13.5

31.8 30.2 28.4

WT7X19 WT7X17 WT7X15

28.9 25.5 22.0

36 179 32.3 178 28.5 176

7.87 7.24 6.86

172 171 171

13.1 11.6 9.78

WT7X13 WT7X11

19.5 16.5

24.8 177 21 174

6.48 5.84

128 127

WT6X168 WT6X152.5 WT6X139.5 WT6X126 WT6X115 WT6X105 WT6X95 WT6X85 WT6X76 WT6X68 WT6X60 WT6X53 WT6X48 WT6X43.5 WT6X39.5 WT6X36 WT6X32.5

250 227 208 188 171 156 142 126 113 101 89.5 79.0 71.5 64.5 58.5 53.5 48.5

319 289 265 239 219 199 180 161 145 129 114 101 91 82.6 74.8 68.4 61.5

214 207 201 196 191 187 183 178 174 170 167 164 162 159 157 156 154

45.2 41.4 38.9 35.6 32.8 30.0 26.9 24.4 22.1 20.1 18.0 15.5 14.0 13.1 11.9 10.9 9.91

WT6X29 WT6X26.5

43.0 39.5

55 155 50.2 153

WT6X25

37.0

47.1 155

Z

Qs

Propiedades torsionales

Fy=3500

J

Cw

Kg/cm2

cm4

cm6/1000

367 331 302 269

1.00 1.00 1.00 0.972

105 80.3 62.4 45.4

1.51 1.13 0.862 0.615

4.88 4.85 4.80

180 161 142

0.957 0.883 0.776

40.2 30.1 21.7

0.392 0.287 0.202

5.54 64.6 4.83 56.5 4.07 47.7

3.94 3.89 3.78

100 87.2 73.6

0.758 0.668 0.609

16.6 11.8 7.9

0.149 0.107 0.0771

9.73 8.26

1.85 29.0 1.46 22.9

2.74 2.64

45.2 35.9

0.538 0.448

7.5 4.3

0.0556 0.0360

1120 968 850 734 646 565 488 420 361 311 265 223 195 175 156 139 123

46.7 42.9 39.6 36.1 33.3 30.7 27.9 25.2 22.8 20.4 18.2 16.2 14.7 13.4 12.2 11.2 10.1

247 219 195 172 154 138 123 108 94.5 82.8 71.6 62.9 56.2 49.9 45.0 40.6 36.3

1450 1300 1170 1040 942 850 762 675 596 526 459 405 364 326 293 265 238

8.81 8.69 8.59 8.48 8.41 8.33 8.26 8.18 8.10 8.03 7.95 7.90 7.85 7.80 7.75 7.72 7.67

2250 2000 1800 1600 1450 1310 1170 1030 911 801 700 615 552 495 444 403 361

1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00

4990 3830 2950 2230 1730 1340 1010 737 533 383 267 189 142 106 79.5 60.8 45.4

129 95.6 71.7 52.4 39.7 30.1 22.0 15.7 11.1 7.76 5.29 3.65 2.71 1.97 1.46 1.09 0.798

2.6 2.6

114 106

10.8 9.88

22.3 19.9

175 157

6.38 6.30

265 238

1.00 1.00

43.7 32.8

0.559 0.411

3.0

113

11.5

11.7

114

4.98

174

1.00

35.6

0.330

3

Tabla 1-1 Secciones WT Dimensiones y Propiedades Sección

Peso Area Alto Nomi A d nal 2

WT6X22.5 WT6X20

Kg/m cm mm 33.5 42.3 153 30.0 37.7 152

Ala

Alma Espesor

Ancho

Espesor

tw

bf

tf

mm 8.51 7.49

mm 204 203

mm 14.6 13.1

Distancia k Gramil kdiseño kdet G mm mm mm 27.4 34.9 140 25.9 34.9 140

Criterio de Compacidad

Eje x - x I

S

r

y

Z

yp

cm

cm

cm

cm

14.8 16.8

cm4 cm3 100 6.91 55.6 5.99 48.3

4.04 3.99

2.9 2.8

100 86.5

bf /2tf

d/tw

h/tw

7.00 7.77

18.0 20.2

3

I

Eje y - y S r

Z

cm

cm3

10.4 9.27

cm4 cm3 100 10.4 102 9.16 90.1

4.95 4.93

Qs

Propiedades torsionales

Fy=3500

J

Cw

cm4

cm6/1000

155 137

Kg/cm2 0.998 0.885

26.1 18.8

0.238 0.166

WT6X17.5 WT6X15 WT6X13

26.0 22.3 19.4

33.4 159 28.4 157 24.6 155

7.62 6.60 5.84

167 166 165

13.2 11.2 9.65

20.8 18.8 17.3

30.2 28.6 27.0

90 90 90

6.31 7.41 8.54

20.8 23.7 26.6

18.1 20.9 23.6

6.66 52.9 5.62 45.1 4.87 39.3

4.47 4.45 4.45

3.3 3.2 3.2

93.6 79.1 68.8

10.0 8.56 7.49

5.08 61.1 4.25 51.1 3.60 43.8

3.91 3.86 3.84

93.9 78.3 66.9

0.855 0.708 0.567

15.4 9.5 6.2

0.117 0.0717 0.0467

WT6X11 WT6X9.5 WT6X8 WT6X7

16.4 14.2 11.9 10.5

20.9 18 15.2 13.4

156 154 152 151

6.60 5.97 5.59 5.08

102 102 101 101

10.8 8.89 6.73 5.72

18.4 16.5 14.4 13.3

23.8 22.2 20.6 19.1

60 60 60 60

4.74 5.72 7.53 8.82

23.7 25.9 27.3 29.8

20.9 23.1 24.7 27.2

4.87 4.20 3.62 3.19

42.4 37.4 33.4 30.0

4.83 4.83 4.88 4.88

4.1 4.2 4.4 4.5

75.9 67.4 61.0 54.4

10.2 8.84 16.2 19.3

0.970 0.783 0.587 0.491

18.8 15.4 11.6 9.72

2.15 2.09 1.96 1.91

30.0 24.4 18.5 15.5

0.711 0.598 0.539 0.451

6.1 3.7 2.1 1.5

0.0368 0.0251 0.0182 0.0132

WT5X56 WT5X50 WT5X44 WT5X38.5 WT5X34 WT5X30 WT5X27 WT5X24.5

83.5 74.5 65.5 57.5 50.5 44.5 40.0 36.5

106 94.8 83.2 72.9 64.5 56.9 51 46.5

144 141 138 135 132 130 128 127

19.2 17.3 15.4 13.5 11.9 10.7 9.40 8.64

264 262 262 259 257 257 254 254

31.8 28.4 25.1 22.1 19.6 17.3 15.6 14.2

44.5 41.1 37.8 34.8 32.3 30.0 28.4 26.9

49.2 46.0 42.9 39.7 36.5 34.9 33.3 31.8

140 140 140 140 140 140 140 140

4.17 4.62 5.18 5.86 6.58 7.41 8.15 8.93

7.52 8.16 8.96 10.0 11.1 12.2 13.6 14.7

5.21 5.78 6.50 7.42 8.36 9.36 10.6 11.6

11.9 10.2 8.66 7.24 6.20 5.37 4.62 4.16

105 91.1 78.2 66.4 57.2 49.8 43.3 39.2

3.35 3.28 3.23 3.15 3.10 3.07 3.02 3.00

3.1 2.9 2.7 2.5 2.4 2.3 2.1 2.1

220 187 158 132 112 96.2 82.8 74.1

20.1 18.1 16.0 14.1 12.5 11.1 10.0 9.17

49.1 42.9 37.2 32.0 27.8 24.2 21.5 19.4

370 328 285 247 216 188 169 153

6.78 6.73 6.68 6.60 6.55 6.53 6.50 6.45

567 500 434 375 328 287 256 231

1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00

312 225 156 106 74.1 51.2 37.8 28.8

4.54 3.20 2.15 1.43 0.972 0.661 0.478 0.357

WT5X22.5 WT5X19.5 WT5X16.5

33.5 29.0 24.6

42.8 128 37 126 31.3 124

8.89 8.00 7.37

204 203 202

15.7 13.5 11.0

28.4 26.2 23.7

33.3 30.2 28.6

140 140 140

6.47 7.53 9.15

14.4 15.7 16.8

11.2 12.5 13.6

4.25 40.5 3.68 35.4 3.21 31.6

3.15 3.15 3.20

2.3 2.2 2.2

76.2 65.4 57.0

10.5 9.12 7.75

11.1 109 9.37 92.4 7.62 75.4

5.11 5.03 4.93

166 140 115

1.00 1.00 1.00

31.3 20.3 12.1

0.263 0.165 0.0956

WT5X15 WT5X13 WT5X11

22.4 19.3 16.4

28.5 133 24.6 131 20.9 129

7.62 6.60 6.10

148 147 146

13.0 11.2 9.14

20.6 18.8 16.8

28.6 27.0 23.8

70 70 70

5.70 6.56 7.99

17.5 19.9 21.2

14.8 17.0 18.4

3.86 36.7 3.27 31.3 2.86 28.2

3.68 3.66 3.71

2.8 2.7 2.7

65.7 55.6 49.5

9.65 8.38 7.16

3.48 47.0 2.93 40.0 2.38 32.6

3.48 3.45 3.38

72.3 61.5 50.0

1.00 0.904 0.837

12.9 8.4 5.0

0.0733 0.0465 0.0287

WT5X9.5 WT5X8.5 WT5X7.5 WT5X6

14.2 12.7 11.2 8.95

18.1 16.1 14.3 11.4

6.35 6.10 5.84 4.83

102 102 102 101

10.0 8.38 6.86 5.33

17.7 16.0 14.5 13.0

23.8 22.2 20.6 19.1

60 60 60 60

5.09 6.08 7.41 9.43

20.5 21.1 21.7 26.0

17.7 18.4 19.2 23.3

2.78 2.52 2.27 1.81

3.91 3.96 3.99 3.99

3.3 3.4 3.5 3.5

50.8 47.5 44.4 36.1

8.86 7.90 7.75 8.18

0.895 0.741 0.604 0.454

2.22 2.14 2.06 1.99

27.4 22.9 18.8 14.2

0.873 0.843 0.810 0.593

4.8 3.2 2.2 1.1

0.0214 0.0164 0.0128 0.00685

130 129 127 125

28.5 26.5 24.6 20.0

17.5 14.5 11.8 9.03

Tabla 1-1 Secciones WT Dimensiones y Propiedades Sección

WT4X33.5 WT4X29 WT4X24 WT4X20 WT4X17.5 WT4X15.5

Peso Area Alto Nomi A d nal Kg/m 50.0 43.0 35.5 29.5 26.0 23.1

2

cm 63.5 55.1 45.5 37.9 33.2 29.4

Ala

Alma Espesor

Ancho

Espesor

tw

bf

tf

mm 114 111 108 105 103 102

mm 14.5 13.0 10.2 9.14 7.87 7.24

mm 210 209 206 205 204 203

mm 23.7 20.6 17.4 14.2 12.6 11.0

Distancia k Gramil kdiseño kdet G mm mm mm 33.8 41.3 140 30.5 38.1 140 27.4 34.9 140 24.2 31.8 140 22.6 30.2 140 21.1 28.6 140

Criterio de Compacidad

Eje x - x I

yp

S

r

y

Z

cm3

cm

cm

cm

cm

bf /2tf

d/tw

h/tw

4.43 5.07 5.92 7.21 8.10 9.19

7.89 8.58 10.6 11.5 13.1 14.0

5.56 6.22 7.93 8.81 10.2 11.1

cm4 100 4.54 3.80 2.85 2.39 2.01 1.78

50.0 42.8 32.3 27.7 23.4 21.0

2.67 2.62 2.50 2.51 2.46 2.46

2.4 2.2 2.0 1.9 1.8 1.7

103 86.0 64.6 53.3 44.4 39.2

3

I

Eje y - y S r

Z

cm

cm3

15.1 13.2 11.0 9.25 8.15 7.24

cm4 cm3 100 18.4 175 15.6 150 12.7 123 10.2 100 8.87 87.0 7.70 76.0

5.38 5.33 5.28 5.18 5.16 5.13

Qs

Propiedades torsionales

Fy=3500

J

Cw

cm4

cm6/1000

267 228 187 151 132 115

Kg/cm2 1.00 1.00 1.00 1.00 1.00 1.00

104 69.1 40.7 23.2 16 11.1

0.956 0.612 0.349 0.192 0.129 0.0878

WT4X14 WT4X12

20.9 18.0

26.6 102 22.8 101

7.24 6.22

166 165

11.8 10.2

21.8 20.2

23.8 22.2

100 100

7.03 8.12

14.1 16.2

11.1 12.9

1.76 21.0 1.47 17.7

2.57 2.54

1.9 1.8

39.0 32.4

8.00 6.91

4.50 54.2 3.80 46.0

4.11 4.09

82.6 70.1

1.00 1.00

11.2 7.2

0.0618 0.0387

WT4X10.5 WT4X9

15.7 13.3

19.9 105 17 103

6.35 5.84

134 133

10.2 8.38

17.8 16.0

22.2 20.6

70 70

6.59 7.95

16.6 17.7

13.8 15.0

1.62 19.3 1.42 17.2

2.84 2.90

2.1 2.1

34.6 30.5

7.42 6.38

2.03 30.3 1.66 24.9

3.20 3.12

46.5 38.2

1.00 1.00

5.9 3.6

0.0246 0.0151

WT4X7.5 WT4X6.5 WT4X5

11.3 9.65 7.50

14.3 103 12.4 102 9.55 100

6.22 5.84 4.32

102 102 100

8.00 6.48 5.21

15.6 14.1 12.8

20.6 19.1 17.5

60 60 60

6.37 7.84 9.61

16.6 17.4 23.2

14.0 1.37 17.5 15.0 1.20 16.0 20.2 0.895 11.7

3.10 3.12 3.05

2.5 2.6 2.4

31.3 28.5 20.8

7.01 6.10 4.78

0.708 13.9 0.566 11.2 0.437 8.70

2.23 2.14 2.13

21.8 17.5 13.5

1.00 1.00 0.735

2.8 1.8 0.88

0.0103 0.00722 0.00306

WT3X12.5 WT3X10 WT3X7.5

18.6 14.9 11.3

23.7 81.0 19 78.7 14.3 76.2

8.13 6.60 5.84

154 153 152

11.6 9.27 6.60

17.9 16.9 14.2

23.8 22.2 19.1

90 90 90

6.68 8.25 11.5

10.0 11.9 13.0

7.61 0.953 14.5 9.37 0.733 11.4 10.6 0.587 9.46

2.00 1.97 2.02

1.6 1.4 1.4

27.5 21.1 16.9

7.67 6.20 4.70

3.55 46.0 2.76 36.2 1.94 25.6

3.86 3.81 3.68

70.1 55.1 38.8

1.00 1.00 1.00

9.5 5.0 2.1

0.0459 0.0230 0.00918

WT3X8 WT3X6 WT3X4.5 WT3X4.25

12.0 9.00 6.75 5.00

15.3 11.5 8.65 8.13

79.8 76.7 74.9 74.2

6.60 5.84 4.32 4.32

102 102 100 100

10.3 7.11 5.46 4.95

16.6 13.5 11.8 11.3

22.2 19.1 17.5 17.5

60 60 60 60

4.98 7.14 9.16 10.1

12.1 13.1 17.4 17.1

9.56 10.8 14.6 14.5

11.2 9.24 6.69 6.51

2.14 2.19 2.14 2.15

1.7 1.7 1.6 1.6

20.5 16.6 11.8 11.5

7.47 5.64 4.32 4.06

0.920 0.624 0.458 0.414

18.0 12.3 9.13 8.28

2.45 2.33 2.30 2.26

27.7 19.0 14.0 12.7

1.00 1.00 1.00 1.00

4.6 1.9 0.84 0.69

0.0114 0.00478 0.00198 0.00166

WT2.5X9.5 WT2.5X8

14.1 11.9

17.9 65.5 15.2 63.8

6.86 6.10

128 127

10.9 9.14

18.5 16.8

20.6 19.1

70 70

5.85 6.94

9.54 10.4

6.83 0.420 7.95 7.69 0.352 6.77

1.53 1.52

1.2 1.2

15.9 13.1

7.01 5.97

1.90 29.7 1.56 24.6

3.25 3.20

45.2 37.4

1.00 1.00

6.5 4.0

0.0208 0.0122

WT2X6.5

9.65

12.3 52.8

7.11

103

8.76

15.1

19.1

60

5.88

7.43

5.30 0.219 5.26

1.33

1.1

10.1

5.99

0.803 15.6

2.54

23.9

1.00

3.1

0.00626

0.703 0.549 0.395 0.377