diseño de losa(NTC)

Tableros

Interior Todos los bordes continuos

De borde Un lado corto discontinuo

De borde Un lado largo discontinuo

De esquina Dos lado adyacentes discontinuo

Extremo Tres bordes discontinuo un lado largo continuo

Extremo Tres bordes discontinuo un lado corto continuo

fotos

Tableros


De borde Un lado corto discontinuo

De borde Un lado largo discontinuo




fotos

Aislado Cuatro lado lado discontinuo Interior Todos los bordes continuos De borde Un lado corto discontinuo De borde Un lado largo discontinuo De esquina Dos lado adyacentes discontinuo Extremo Tres bordes discontinuo un lado largo continuo Extremo Tres bordes discontinuo un lado corto continuo Aislado Cuatro lado lado discontinuo % 1 2 3 4 5 6 7

1.5 20.04 22.39 22.7 25.05 27.4 27.71 30.06

Tablero

Momento

Claro

0

Relación de lados cortos a larg 0.5 0.6 0.7 I II I II I II 553 565 489 498 432 438 409 431 391 412 371 388

Neg. En bordes interiores

corto largo

II³ 998 1018 516 544

Positivo

corto largo

630 175

668 181

312 139

322 144

268 134

276 139

228 130

236 135

Neg. En bordes interiores De borde Un lado corto Neg. En bordes dis. discontinuo Positivo

corto largo largo corto largo

998 1018 516 544 326 0 630 668 179 187

568 409 258 329 142

594 431 0 356 149

506 391 248 292 137

533 412 0 306 143

451 372 236 240 133

478 392 0 261 140

Neg. En bordes De borde interiores Un lado largo Neg. En bordes dis. discontinuo Positivo

corto largo corto corto largo

1060 1143 587 687 651 0 751 912 185 200

583 465 362 334 147

624 545 0 366 158

514 442 321 285 142

548 513 0 312 153

453 411 283 241 138

481 470 0 263 149

corto largo corto largo corto largo

1060 1143 600 713 651 0 326 0 751 912 191 212

598 475 362 258 358 152

653 564 0 0 416 168

530 455 321 248 306 146

582 541 0 0 354 163

471 429 277 236 259 142

520 506 0 0 298 158

corto

1060

1143

970

1070

890

1010

810

940

corto

651

0

370

0

340

0

310

0

largo

220

0

220

0

220

0

220

0

corto

751

912

730

800

670

760

610

710

largo

185

200

430

520

430

520

430

520

largo

570

710

570

710

570

710

570

710

corto

570

0

480

0

420

0

370

0

largo

330

0

220

0

220

0

220

0

1100 1670

960

1060

840

950

730

850

I²





Aislado Cuatro lado discontinuo

Neg. En bordes interiores Neg. En bordes discontunuos Positivo

Neg. En borde cont. Neg. En borde discontinuos Positivo

Neg. En borde cont. Neg. En borde discontinuos Positivo

corto largo

200

250

430

540

430

540

430

540

Neg. En bodes discontinuos

corto largo

570 330

0 0

550 330

0 0

530 330

0 0

470 330

0 0

Positivo

corto largo

1100 200

1670 250

830 500

1380 830

800 500

1330 830

720 500

1190 830

a1= a2=

4.7 5.32 0.8 464

0.81 458.8

Losa Monolitica Losa no Monolitica y otros casos

(SI(Diseño!A2="Losa Monolitica",1.25,SI(Diseño!A2="Losa no Monolitica y otros casos",1.5)))

Tablero


Momento Neg. En bordes interiores

Positivo

Claro corto largo corto largo

Neg. En bordes interiores De borde Un lado corto Neg. En bordes dis. discontinuo Positivo

corto largo largo corto largo

Neg. En bordes De borde interiores Un lado largo Neg. En bordes dis. discontinuo Positivo

corto largo corto corto largo


Neg. En bordes interiores Neg. En bordes discontunuos Positivo

corto largo corto largo corto largo

0.88 Mu 347.8 554 336.2 535 0 0 171 272 131.4 209 0 396.6 632 346.6 552 0 0 188.6 300 136.2 217 0 375.2 598 392.4 625 0 0 183.6 292 145.2 231 0 422.4 673 419.4 668 0 0 0 208.6 154.4

0 332 246

FALSE

FALSE

FALSE

673

No. 1/4 1/3

Øpulg.

2 (1/4") 2.5 (5/16")

Extremo Neg. En borde cont. Neg. En borde Tres bordes discontinuos discontinuo un lado largo Positivo continuo

corto corto largo corto largo

806 0 0 610 520

Extremo Neg. En borde cont. Neg. En borde Tres bordes discontinuos discontinuo un lado corto Positivo continuo

largo corto largo corto largo

710 0 0 676 540

Neg. En bodes discontinuos

corto largo

Positivo

corto largo

0 0 0 974 830

Aislado Cuatro lado discontinuo

dmin=

11cm

0 1284 0 0 972 828 0 1131 0 0 1077 860 0 0 0 0 1551 1322

3/8 FALSE

FALSE

FALSE 0 526 2.66 -796 5.32 526

3 4 5 6 7 8 9 10 11 12

(3/8") (1/2") (5/8") (3/4") (7/8") 1 (1 1/8") (1 1/4") (1 3/8") (1 1/2")

Tabla 6.1 Coeficientes de momentos flexion s, m=a1/a2 0.8 I II 381 387 347 361

0.9

1

I 333 320

II 338 330

I 288 288

II 292 292

0 0.01 998 989.1 516 513.9 0 630 623.6 175 174.3 0 998 989.4 516 513.9 326 324.6 630 624 179 178.3 0 1060 1050 587 584.6 651 645.2 751 742.7 185 184.2 0 1060 1051 600 597.5 651 645.2 326 324.6 751 743.1 191 190.2 0

0.02 980.2 511.7 0 617.3 173.6 0 980.8 511.7 323.3 618 177.5 0 1041 582.1 639.4 734.3 183.5 0 1042 595 639.4 323.3 735.3 189.4 0

0.03 971.3 509.6 0 610.9 172.8 0 972.2 509.6 321.9 611.9 176.8 0 1031 579.7 633.7 726 182.7 0 1032 592.5 633.7 321.9 727.4 188.7 0

0.04 962.4 507.4 0 604.6 172.1 0 963.6 507.4 320.6 605.9 176 0 1022 577.2 627.9 717.6 182 0 1023 590 627.9 320.6 719.6 187.9 0

0.05 953.5 505.3 0 598.2 171.4 0 955 505.3 319.2 599.9 175.3 0 1012 574.8 622.1 709.3 181.2 0 1014 587.5 622.1 319.2 711.7 187.1 0

0.06 944.6 503.2 0 591.8 170.7 0 946.4 503.2 317.8 593.9 174.6 0 1003 572.4 616.3 701 180.4 0 1005 585 616.3 317.8 703.8 186.3 0

192 128

199 133

158 127

164 131

126 126

130 130

403 350 222 202 131

431 369 0 219 137

357 326 206 167 129

388 341 0 181 136

315 297 190 133 129

346 311 0 144 135

397 379 250 202 135

420 426 0 218 146

346 347 219 164 134

364 384 0 175 145

297 315 190 129 133

311 346

419 394 250 222 216 140

464 457 0 0 247 156

371 360 219 206 176 138

412 410 0 0 199 154

324 324 190 190 137 137

364 364 0 0 153 153

730

870

650

790

570

710

1060 1058 1056 1055 1053 1051 1049

280

0

250

0

220

0

651 645.4 639.8 634.1 628.5 622.9 617.3

220

0

220

0

220

0

220

550

650

490

600

430

540

751 750.6 750.2 749.7 749.3 748.9 748.5

430

520

430

520

430

520

185 189.9 194.8 199.7 204.6 209.5 214.4

135 144

220

220

220

220

220

0

0

0

0

0

0

570

570

570

570

570

570

570

710

570

710

570

710

310

0

270

0

220

0

570 568.2 566.4 564.6 562.8

561 559.2

220

0

220

0

220

0

330 327.8 325.6 323.4 321.2

319 316.8

620

740

540

660

430

520

430

540

430

540

430

540

430 330

570

220

1100 1097 1094 1092 1089 1086 1083 200 204.6 209.2 213.8 218.4

0 0

380 330

0 0

330 330

0 0

570 330

640 1070 500 830

570 500

950 830

500 500

830 830

1100 200

223 227.6

0 0 0 0 0 0 569.6 569.2 568.8 568.4 568 567.6 330 330 330 330 330 330 0 0 0 0 0 0 1095 1089 1084 1078 1073 1068 206 212 218 224 230 236

0.82 0.83 0.84 453.6 448.4 443.2

2

Ømm. Kg/m. mm. 6.4 0.284 7.9 0.388

0.32 0.49

0.85 0.86 0.87 438 432.8 427.6

2

pulg.

0.05 0.08

No.

Øpulg. 7 (7/8") 8 1

2

Ømm. Kg/m. mm. 22.2 3.042 25.4 3.973

3.88 5.07

2

pulg.

0.6 0.79

9.5 12.7 15.9 19.1 22.2 25.4 28.6 31.8 34.9 38.1

0.559 0.993 1.552 2.235 3.042 3.973 5.028 6.207 7.511 8.938

0.71 1.27 1.98 2.85 3.88 5.07 6.41 7.92 9.58 11.4

0.11 0.2 0.31 0.44 0.6 0.79 1 1.23 1.48 1.77

9 10 11 12

(1 1/8") (1 1/4") (1 3/8") (1 1/2")

28.6 31.8 34.9 38.1

5.028 6.207 7.511 8.938

6.41 7.92 9.58 11.4

1 1.23 1.48 1.77

antes para tableros rectangulares, franjas centrales1

0.07 935.7 501 0 585.5 170 0 937.8 501 316.5 587.9 173.8 0 993.2 569.9 610.5 692.6 179.7 0 995.3 582.5 610.5 316.5 696 185.5 0

0.08 926.8 498.9 0 579.1 169.2 0 929.2 498.9 315.1 581.8 173.1 0 983.7 567.5 604.8 684.3 178.9 0 986.1 580 604.8 315.1 688.1 184.8 0

0.09 917.9 496.7 0 572.8 168.5 0 920.6 496.7 313.8 575.8 172.3 0 974.1 565 599 675.9 178.2 0 976.8 577.5 599 313.8 680.3 184 0

0.1 909 494.6 0 566.4 167.8 0 912 494.6 312.4 569.8 171.6 0 964.6 562.6 593.2 667.6 177.4 0 967.6 575 593.2 312.4 672.4 183.2 0

0.11 900.1 492.5 0 560 167.1 0 903.4 492.5 311 563.8 170.9 0 955.1 560.2 587.4 659.3 176.6 0 958.4 572.5 587.4 311 664.5 182.4 0

0.12 891.2 490.3 0 553.7 166.4 0 894.8 490.3 309.7 557.8 170.1 0 945.5 557.7 581.6 650.9 175.9 0 949.1 570 581.6 309.7 656.7 181.6 0

0.13 882.3 488.2 0 547.3 165.6 0 886.2 488.2 308.3 551.7 169.4 0 936 555.3 575.9 642.6 175.1 0 939.9 567.5 575.9 308.3 648.8 180.9 0

0.14 873.4 486 0 541 164.9 0 877.6 486 307 545.7 168.6 0 926.4 552.8 570.1 634.2 174.4 0 930.6 565 570.1 307 641 180.1 0

0.15 864.5 483.9 0 534.6 164.2 0 869 483.9 305.6 539.7 167.9 0 916.9 550.4 564.3 625.9 173.6 0 921.4 562.5 564.3 305.6 633.1 179.3 0

0.16 855.6 481.8 0 528.2 163.5 0 860.4 481.8 304.2 533.7 167.2 0 907.4 548 558.5 617.6 172.8 0 912.2 560 558.5 304.2 625.2 178.5 0

0.17 846.7 479.6 0 521.9 162.8 0 851.8 479.6 302.9 527.7 166.4 0 897.8 545.5 552.7 609.2 172.1 0 902.9 557.5 552.7 302.9 617.4 177.7 0

0.18 837.8 477.5 0 515.5 162 0 843.2 477.5 301.5 521.6 165.7 0 888.3 543.1 547 600.9 171.3 0 893.7 555 547 301.5 609.5 177 0

0.19 828.9 475.3 0 509.2 161.3 0 834.6 475.3 300.2 515.6 164.9 0 878.7 540.6 541.2 592.5 170.6 0 884.4 552.5 541.2 300.2 601.7 176.2 0

0.2 820 473.2 0 502.8 160.6 0 826 473.2 298.8 509.6 164.2 0 869.2 538.2 535.4 584.2 169.8 0 875.2 550 535.4 298.8 593.8 175.4 0

0.21 811.1 471.1 0 496.4 159.9 0 817.4 471.1 297.4 503.6 163.5 0 859.7 535.8 529.6 575.9 169 0 866 547.5 529.6 297.4 585.9 174.6 0

1047 1046 1044 1042 1040 1038 1037 1035 1033 1031 1029 1028 1026 1024 1022 611.7 220

606 600.4 594.8 589.2 583.6 577.9 572.3 566.7 561.1 555.5 549.8 544.2 538.6

533

220

220

220

220

220

748.1 747.6 747.2 746.8 746.4 219.3 224.2 229.1

220

220

220

220

220

220

220

746 745.5 745.1 744.7 744.3 743.9 743.4

220

220

743 742.6 742.2

234 238.9 243.8 248.7 253.6 258.5 263.4 268.3 273.2 278.1

283 287.9

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

570

570

570

570

570

570

570

570

570

570

570

570

570

570

570

557.4 555.6 553.8

552 550.2 548.4 546.6 544.8

543 541.2 539.4 537.6 535.8

534 532.2

314.6 312.4 310.2

308 305.8 303.6 301.4 299.2

297 294.8 292.6 290.4 288.2

286 283.8

1080 1078 1075 1072 1069 1066 1064 1061 1058 1055 1052 1050 1047 1044 1041 232.2 236.8 241.4

246 250.6 255.2 259.8 264.4

269 273.6 278.2 282.8 287.4

292 296.6

0 0 0 0 0 0 0 0 0 0 0 0 0 567.2 566.8 566.4 566 565.6 565.2 564.8 564.4 564 563.6 563.2 562.8 562.4 330 330 330 330 330 330 330 330 330 330 330 330 330 0 0 0 0 0 0 0 0 0 0 0 0 0 1062 1057 1051 1046 1041 1035 1030 1024 1019 1014 1008 1003 997.4 242 248 254 260 266 272 278 284 290 296 302 308 314

0 0 562 561.6 330 330 0 0 992 986.6 320 326

ii

0.22 802.2 468.9 0 490.1 159.2 0 808.8 468.9 296.1 497.6 162.7 0 850.1 533.3 523.8 567.5 168.3 0 856.7 545 523.8 296.1 578.1 173.8 0

0.23 793.3 466.8 0 483.7 158.4 0 800.2 466.8 294.7 491.5 162 0 840.6 530.9 518.1 559.2 167.5 0 847.5 542.5 518.1 294.7 570.2 173.1 0

0.24 784.4 464.6 0 477.4 157.7 0 791.6 464.6 293.4 485.5 161.2 0 831 528.4 512.3 550.8 166.8 0 838.2 540 512.3 293.4 562.4 172.3 0

0.25 775.5 462.5 0 471 157 0 783 462.5 292 479.5 160.5 0 821.5 526 506.5 542.5 166 0 829 537.5 506.5 292 554.5 171.5 0

0.26 766.6 460.4 0 464.6 156.3 0 774.4 460.4 290.6 473.5 159.8 0 812 523.6 500.7 534.2 165.2 0 819.8 535 500.7 290.6 546.6 170.7 0

0.27 757.7 458.2 0 458.3 155.6 0 765.8 458.2 289.3 467.5 159 0 802.4 521.1 494.9 525.8 164.5 0 810.5 532.5 494.9 289.3 538.8 169.9 0

0.28 748.8 456.1 0 451.9 154.8 0 757.2 456.1 287.9 461.4 158.3 0 792.9 518.7 489.2 517.5 163.7 0 801.3 530 489.2 287.9 530.9 169.2 0

0.29 739.9 453.9 0 445.6 154.1 0 748.6 453.9 286.6 455.4 157.5 0 783.3 516.2 483.4 509.1 163 0 792 527.5 483.4 286.6 523.1 168.4 0

0.3 731 451.8 0 439.2 153.4 0 740 451.8 285.2 449.4 156.8 0 773.8 513.8 477.6 500.8 162.2 0 782.8 525 477.6 285.2 515.2 167.6 0

0.31 722.1 449.7 0 432.8 152.7 0 731.4 449.7 283.8 443.4 156.1 0 764.3 511.4 471.8 492.5 161.4 0 773.6 522.5 471.8 283.8 507.3 166.8 0

0.32 713.2 447.5 0 426.5 152 0 722.8 447.5 282.5 437.4 155.3 0 754.7 508.9 466 484.1 160.7 0 764.3 520 466 282.5 499.5 166 0

0.33 704.3 445.4 0 420.1 151.2 0 714.2 445.4 281.1 431.3 154.6 0 745.2 506.5 460.3 475.8 159.9 0 755.1 517.5 460.3 281.1 491.6 165.3 0

0.34 695.4 443.2 0 413.8 150.5 0 705.6 443.2 279.8 425.3 153.8 0 735.6 504 454.5 467.4 159.2 0 745.8 515 454.5 279.8 483.8 164.5 0

1020 1019 1017 1015 1013 1011 1010 1008 1006 1004 1002 1001 998.8 527.4 521.7 516.1 510.5 504.9 499.3 493.6 220

220

220

220

220

220

220

0.35 686.5 441.1 0 407.4 149.8 0 697 441.1 278.4 419.3 153.1 0 726.1 501.6 448.7 459.1 158.4 0 736.6 512.5 448.7 278.4 475.9 163.7 0

0.36 677.6 439 0 401 149.1 0 688.4 439 277 413.3 152.4 0 716.6 499.2 442.9 450.8 157.6 0 727.4 510 442.9 277 468 162.9 0

997 995.2

488 482.4 476.8 471.2 465.5 459.9 454.3 448.7 220

220

741.8 741.3 740.9 740.5 740.1 739.7 739.2 738.8 738.4 292.8 297.7 302.6 307.5 312.4 317.3 322.2 327.1

220

220

220

220

220

220

738 737.6 737.1 736.7 736.3 735.9

332 336.9 341.8 346.7 351.6 356.5 361.4

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

570

570

570

570

570

570

570

570

570

570

570

570

570

570

570

530.4 528.6 526.8

525 523.2 521.4 519.6 517.8

516 514.2 512.4 510.6 508.8

507 505.2

281.6 279.4 277.2

275 272.8 270.6 268.4 266.2

264 261.8 259.6 257.4 255.2

253 250.8

1038 1036 1033 1030 1027 1024 1022 1019 1016 1013 1010 1008 1005 1002 999.2 301.2 305.8 310.4

315 319.6 324.2 328.8 333.4

338 342.6 347.2 351.8 356.4

361 365.6

0 0 0 561.2 560.8 560.4 330 330 330 0 0 0 981.2 975.8 970.4 332 338 344

0 0 0 0 0 560 559.6 559.2 558.8 558.4 330 330 330 330 330 0 0 0 0 0 965 959.6 954.2 948.8 943.4 350 356 362 368 374

0 0 0 0 0 558 557.6 557.2 556.8 556.4 330 330 330 330 330 0 0 0 0 0 938 932.6 927.2 921.8 916.4 380 386 392 398 404

0 0 556 555.6 330 330 0 0 911 905.6 410 416

0.88 422.4

0.37 668.7 436.8 0 394.7 148.4 0 679.8 436.8 275.7 407.3 151.6 0 707 496.7 437.1 442.4 156.9 0 718.1 507.5 437.1 275.7 460.2 162.1 0

0.38 659.8 434.7 0 388.3 147.6 0 671.2 434.7 274.3 401.2 150.9 0 697.5 494.3 431.4 434.1 156.1 0 708.9 505 431.4 274.3 452.3 161.4 0

0.39 650.9 432.5 0 382 146.9 0 662.6 432.5 273 395.2 150.1 0 687.9 491.8 425.6 425.7 155.4 0 699.6 502.5 425.6 273 444.5 160.6 0

0.4 642 430.4 0 375.6 146.2 0 654 430.4 271.6 389.2 149.4 0 678.4 489.4 419.8 417.4 154.6 0 690.4 500 419.8 271.6 436.6 159.8 0

0.41 633.1 428.3 0 369.2 145.5 0 645.4 428.3 270.2 383.2 148.7 0 668.9 487 414 409.1 153.8 0 681.2 497.5 414 270.2 428.7 159 0

0.44 606.4 421.8 0 350.2 143.3 0 619.6 421.8 266.2 365.1 146.4 0 640.2 479.6 396.7 384 151.6 0 653.4 490 396.7 266.2 405.2 156.7 0

0.45 597.5 419.7 0 343.8 142.6 0 611 419.7 264.8 359.1 145.7 0 630.7 477.2 390.9 375.7 150.8 0 644.2 487.5 390.9 264.8 397.3 155.9 0

0.46 588.6 417.6 0 337.4 141.9 0 602.4 417.6 263.4 353.1 145 0 621.2 474.8 385.1 367.4 150 0 635 485 385.1 263.4 389.4 155.1 0

0.47 579.7 415.4 0 331.1 141.2 0 593.8 415.4 262.1 347.1 144.2 0 611.6 472.3 379.3 359 149.3 0 625.7 482.5 379.3 262.1 381.6 154.3 0

0.48 570.8 413.3 0 324.7 140.4 0 585.2 413.3 260.7 341 143.5 0 602.1 469.9 373.6 350.7 148.5 0 616.5 480 373.6 260.7 373.7 153.6 0

0.49 561.9 411.1 0 318.4 139.7 0 576.6 411.1 259.4 335 142.7 0 592.5 467.4 367.8 342.3 147.8 0 607.2 477.5 367.8 259.4 365.9 152.8 0

312 307.6 139 138.5 561.8 407.2 257 325.3 141.5

583 465 362 334 147

576.1 462.7 357.9 329.1 146.5

598 475 362 258 358 152

591.2 473 357.9 257 352.8 151.4

979 977.2 975.4 973.6 971.8

970

962

415 409.3 403.7 398.1 392.5 386.9 381.2 375.6

370

367

220

220

220

220

735 734.6 734.2 733.8 733.4 732.9 732.5 732.1 731.7 731.3 730.8 730.4

730

724

430

430

988 986.2 984.4 982.6 980.8

443.1 437.4 431.8 426.2 420.6 735.5

0.43 615.3 424 0 356.5 144 0 628.2 424 267.5 371.1 147.2 0 649.8 482.1 402.5 392.4 152.3 0 662.7 492.5 402.5 267.5 413 157.5 0

568 409 258 329 142

993.4 991.6 989.8 220

0.42 624.2 426.1 0 362.9 144.8 0 636.8 426.1 268.9 377.2 147.9 0 659.3 484.5 408.2 400.7 153.1 0 671.9 495 408.2 268.9 420.9 158.2 0

i 0.5 0.51 553 546.6 409 407.2

220

220

366.3 371.2 376.1

220

220

220

220

220

220

220

220

381 385.9 390.8 395.7 400.6 405.5 410.4 415.3 420.2 425.1

0

0

0

0

0

0

0

0

0

0

0

0

0

570

570

570

570

570

570

570

570

570

570

570

570

570

570

570

503.4 501.6 499.8

498 496.2 494.4 492.6 490.8

489 487.2 485.4 483.6 481.8

480

474

248.6 246.4 244.2

242 239.8 237.6 235.4 233.2

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0.28 764.3 480.7 0 474.2 160.3 0 780.6 480.7 0 493.3 165.7 0 852.4 607.5 0 606.2 176.5 0 868.6 629.6 0 0 634.2 187.4 0

0.29 755.3 478.5 0 467.3 159.5 0 772.1 478.5 0 487 165 0 842 604.6 0 595.3 175.6 0 858.8 626.6 0 0 624.3 186.5 0

0.3 746.2 476.2 0 460.4 158.8 0 763.6 476.2 0 480.8 164.2 0 831.6 601.8 0 584.4 174.8 0 849 623.6 0 0 614.4 185.6 0

0.31 737.1 473.9 0 453.5 158.1 0 755.1 473.9 0 474.6 163.4 0 821.2 599 0 573.5 174 0 839.2 620.6 0 0 604.5 184.7 0

0.32 728.1 471.7 0 446.6 157.3 0 746.6 471.7 0 468.3 162.7 0 810.8 596.1 0 562.6 173.1 0 829.4 617.6 0 0 594.6 183.8 0

0.33 719 469.4 0 439.6 156.6 0 738.2 469.4 0 462.1 161.9 0 800.5 593.3 0 551.6 172.3 0 819.6 614.7 0 0 584.6 183 0

0.34 710 467.2 0 432.7 155.8 0 729.7 467.2 0 455.8 161.2 0 790.1 590.4 0 540.7 171.4 0 809.8 611.7 0 0 574.7 182.1 0

0.35 700.9 464.9 0 425.8 155.1 0 721.2 464.9 0 449.6 160.4 0 779.7 587.6 0 529.8 170.6 0 800 608.7 0 0 564.8 181.2 0

0.36 691.8 462.6 0 418.9 154.4 0 712.7 462.6 0 443.4 159.6 0 769.3 584.8 0 518.9 169.8 0 790.2 605.7 0 0 554.9 180.3 0

0.37 682.8 460.4 0 412 153.6 0 704.2 460.4 0 437.1 158.9 0 758.9 581.9 0 508 168.9 0 780.4 602.7 0 0 545 179.4 0

0.38 673.7 458.1 0 405 152.9 0 695.8 458.1 0 430.9 158.1 0 748.6 579.1 0 497 168.1 0 770.6 599.8 0 0 535 178.6 0

1108 1107 1105 1104 1102 1101 1099 1098 1096 1095 1093 1092 1090 1089 1088 0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

858.2

856 853.8 851.5 849.3

847 844.8 842.6 840.3 838.1 835.8 833.6 831.4 829.1 826.9

353.6

360 366.4 372.8 379.2 385.6

392 398.4 404.8 411.2 417.6

424 430.4 436.8 443.2

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

710

710

710

710

710

710

710

710

710

710

710

710

710

710

710

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1377 1365 1353 1341 1328 1316 1304 1292 1280 1267 1255 1243 1231 1219 1206 389.2

395 400.8 406.6 412.4 418.2

424 429.8 435.6 441.4 447.2

453 458.8 464.6 470.4

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1531 1525 1519 1513 1508 1502 1496 1490 1484 1479 1473 1467 1461 1455 1450 528.4 540 551.6 563.2 574.8 586.4 598 609.6 621.2 632.8 644.4 656 667.6 679.2 690.8

ii 0.39 664. 664.7 7 455. 455.9 9 0 398. 398.1 1 152. 152.1 1 0 687. 687.3 3 455. 455.9 9 0 424. 424.6 6 157. 157.4 4 0 738. 738.2 2 576. 576.2 2 0 486. 486.1 1 167. 167.2 2 0 760. 760.8 8 596. 596.8 8 0 0 525. 525.1 1 177. 177.7 7 0

0.4 655. 655.6 6 453. 453.6 6 0 391. 391.2 2 151.4 151.4 0 678. 678.8 8 453. 453.6 6 0 41 418.4 8.4 156. 156.6 6 0 727. 727.8 8 573. 573.4 4 0 475. 475.2 2 166.4 166.4 0 751 751 593.8 593.8 0 0 515. 515.2 2 176.8 176.8 0

0.41 646. 646.5 5 451. 451.3 3 0 384. 384.3 3 150. 150.7 7 0 670. 670.3 3 451. 451.3 3 0 412 412.2 .2 155. 155.8 8 0 717. 717.4 4 570. 570.6 6 0 464. 464.3 3 165. 165.6 6 0 741.2 741.2 590. 590.8 8 0 0 505. 505.3 3 175. 175.9 9 0

0.42 637. 637.5 5 449. 449.1 1 0 377. 377.4 4 149.9 149.9 0 661. 661.8 8 449. 449.1 1 0 405. 405.9 9 155. 155.1 1 0 707 707 567. 567.7 7 0 453. 453.4 4 164.7 164.7 0 731. 731.4 4 587.8 587.8 0 0 495. 495.4 4 175 175 0

0.43 628. 628.4 4 446. 446.8 8 0 370. 370.4 4 149. 149.2 2 0 653. 653.4 4 446. 446.8 8 0 399 399..7 154. 154.3 3 0 696. 696.7 7 564. 564.9 9 0 442. 442.4 4 163. 163.9 9 0 721.6 721.6 584. 584.9 9 0 0 485. 485.4 4 174.2 174.2 0

0.44 619. 619.4 4 444. 444.6 6 0 363. 363.5 5 148.4 148.4 0 644. 644.9 9 444. 444.6 6 0 393 393.4 .4 153. 153.6 6 0 686. 686.3 3 562 562 0 431. 431.5 5 163 163 0 711. 711.8 8 581.9 581.9 0 0 475. 475.5 5 173. 173.3 3 0

0.45 610. 610.3 3 442. 442.3 3 0 356. 356.6 6 147. 147.7 7 0 636. 636.4 4 442. 442.3 3 0 387. 387.2 2 152. 152.8 8 0 675. 675.9 9 559. 559.2 2 0 420. 420.6 6 162.2 162.2 0 702 702 578. 578.9 9 0 0 465. 465.6 6 172.4 172.4 0

0.46 601. 601.2 2 440 440 0 349. 349.7 7 147 147 0 627. 627.9 9 440 440 0 381 381 152 152 0 665. 665.5 5 556. 556.4 4 0 409. 409.7 7 161. 161.4 4 0 692.2 692.2 575.9 575.9 0 0 455. 455.7 7 171. 171.5 5 0

0.47 592. 592.2 2 437. 437.8 8 0 342. 342.8 8 146.2 146.2 0 619. 619.4 4 437. 437.8 8 0 374 374..7 151. 151.3 3 0 655. 655.1 1 553. 553.5 5 0 398. 398.8 8 160.5 160.5 0 682. 682.4 4 572. 572.9 9 0 0 445. 445.8 8 170.6 170.6 0

0.48 583. 583.1 1 435. 435.5 5 0 335. 335.8 8 145. 145.5 5 0 611 611 435. 435.5 5 0 368 368.5 .5 150. 150.5 5 0 644. 644.8 8 550. 550.7 7 0 387. 387.8 8 159. 159.7 7 0 672.6 672.6 570 570 0 0 435. 435.8 8 169. 169.8 8 0

0.49 574. 574.1 1 433. 433.3 3 0 328. 328.9 9 144.7 144.7 0 602. 602.5 5 433. 433.3 3 0 362. 362.2 2 149. 149.8 8 0 634. 634.4 4 547. 547.8 8 0 376. 376.9 9 158.8 158.8 0 662. 662.8 8 567 567 0 0 425. 425.9 9 168.9 168.9 0

0.5 0.51 565 565 558. 558.3 3 431 431 429. 429.1 1 0 322 322 317. 317.4 4 144 144 143.5 143.5 0 594 594 587. 587.9 9 431 431 429. 429.1 1 0 0 356 356 351 351 149 149 148. 148.4 4 0 624 624 616. 616.4 4 545 545 541. 541.8 8 0 0 366 366 360. 360.6 6 158 158 157.5 157.5 0 653 653 645.9 645.9 564 564 561.7 561.7 0 0 0 0 416 416 409. 409.8 8 168 168 167.5 167.5 0

0.52 551. 551.6 6 427. 427.2 2 0 312. 312.8 8 143 143 0 581. 581.8 8 427. 427.2 2 0 346 346 147. 147.8 8 0 608. 608.8 8 538. 538.6 6 0 355. 355.2 2 157 157 0 638. 638.8 8 559. 559.4 4 0 0 403. 403.6 6 167 167 0

0.53 544. 544.9 9 425. 425.3 3 0 308. 308.2 2 142.5 142.5 0 575. 575.7 7 425. 425.3 3 0 341 341 147. 147.2 2 0 601. 601.2 2 535. 535.4 4 0 349. 349.8 8 156.5 156.5 0 631.7 631.7 557.1 557.1 0 0 397. 397.4 4 166.5 166.5 0

1086 1085 1083 1082 1080 1079 1077 077 1076 1074 1073 1071 1070 1064 1058 1052 0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

809 809 806 806..7 804 804.5 .5 802. 802.2 2

800 800

796 796

792 792

788 788

488 488 49 494.4 50 500.8 50 507.2 51 513.6

520

520

520

520

0

0

0

824. 824.6 6 82 822.4 2.4 820 820.2 .2 817. 817.9 9 815 815..7 813 813.4 .4 811. 811.2 2 449.6

456 46 462.4 46 468.8 47 475.2 48 481.6

0

0

0

0

0

0

0

0

0

0

0

710

710

710

710

710

710

710

710

710

710

710

710

710

710

710

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1194 1182 1170 1158 1145 1133 1121 121 1109 1097 1084 1072 1060 1049 1038 1027 476.2

482 48 487.8 49 493.6 49 499.4 50 505.2

511 511 51 516.8 52 522.6 52 528.4 53 534.2

540

540

540

540

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1444 1438 1432 1426 1421 1415 1409 409 1403 1397 1392 1386 1380 1375 1370 1365 702.4 714 72 725.6 73 737.2 74 748.8 76 760.4 772 772 78 783.6 79 795.2 80 806.8 81 818.4 830 830 830 830

0.54 538.2 423.4 0 303.6 142 0 569.6 423.4 0 336 146.6 0 593.6 532.2 0 344.4 156 0 624.6 554.8 0 0 391.2 166 0

0.55 531.5 421.5 0 299 141.5 0 563.5 421.5 0 331 146 0 586 529 0 339 155.5 0 617.5 552.5 0 0 385 165.5 0

0.56 524.8 419.6 0 294.4 141 0 557.4 419.6 0 326 145.4 0 578.4 525.8 0 333.6 155 0 610.4 550.2 0 0 378.8 165 0

0.57 518.1 417.7 0 289.8 140.5 0 551.3 417.7 0 321 144.8 0 570.8 522.6 0 328.2 154.5 0 603.3 547.9 0 0 372.6 164.5 0

0.58 511.4 415.8 0 285.2 140 0 545.2 415.8 0 316 144.2 0 563.2 519.4 0 322.8 154 0 596.2 545.6 0 0 366.4 164 0

0.59 504.7 413.9 0 280.6 139.5 0 539.1 413.9 0 311 143.6 0 555.6 516.2 0 317.4 153.5 0 589.1 543.3 0 0 360.2 163.5 0

0.6 0.61 498 492 412 409.6 0 276 272 139 138.6 0 533 527.5 412 410 0 0 306 301.5 143 142.7 0 548 541.3 513 508.7 0 0 312 307.1 153 152.6 0 582 575.8 541 537.5 0 0 0 0 354 348.4 163 162.5 0

0.62 486 407.2 0 268 138.2 0 522 408 0 297 142.4 0 534.6 504.4 0 302.2 152.2 0 569.6 534 0 0 342.8 162 0

0.63 480 404.8 0 264 137.8 0 516.5 406 0 292.5 142.1 0 527.9 500.1 0 297.3 151.8 0 563.4 530.5 0 0 337.2 161.5 0

0.64 474 402.4 0 260 137.4 0 511 404 0 288 141.8 0 521.2 495.8 0 292.4 151.4 0 557.2 527 0 0 331.6 161 0

0.65 468 400 0 256 137 0 505.5 402 0 283.5 141.5 0 514.5 491.5 0 287.5 151 0 551 523.5 0 0 326 160.5 0

0.66 462 397.6 0 252 136.6 0 500 400 0 279 141.2 0 507.8 487.2 0 282.6 150.6 0 544.8 520 0 0 320.4 160 0

0.67 456 395.2 0 248 136.2 0 494.5 398 0 274.5 140.9 0 501.1 482.9 0 277.7 150.2 0 538.6 516.5 0 0 314.8 159.5 0

0.68 450 392.8 0 244 135.8 0 489 396 0 270 140.6 0 494.4 478.6 0 272.8 149.8 0 532.4 513 0 0 309.2 159 0

1046 1 040 1034 1 028 1 022 1016 1 010 1 003

996

989

982

975

968

961

954

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

784

780

776

772

768

764

760

755

750

745

740

735

730

725

720

520

520

520

520

520

520

520

520

520

520

520

520

520

520

520

0

0

0

0

0

0

0

0

0

0

0

0

0

0

710

710

710

710

710

710

710

710

710

710

710

710

710

710

710

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1016 1005

994

983

972

961

950

940

930

920

910

900

890

880

870

540

540

540

540

540

540

540

540

540

540

540

540

540

540

540

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1360 1355 1350 1345 1340 1335 1330 1316 1302 1288 1274 1260 1246 1232 1218 830 830 830 830 830 830 830 830 830 830 830 830 830 830 830

0.69 444 390.4 0 240 135.4 0 483.5 394 0 265.5 140.3 0 487.7 474.3 0 267.9 149.4 0 526.2 509.5 0 0 303.6 158.5 0

0.7 0.71 0.72 438 432.9 427.8 388 385.3 382.6 0 0 236 232.3 228.6 135 134.8 134.6 0 0 478 473.3 468.6 392 389.7 387.4 0 0 0 261 256.8 252.6 140 139.7 139.4 0 0 481 474.9 468.8 470 465.6 461.2 0 0 0 263 258.5 254 149 148.7 148.4 0 0 520 514.4 508.8 506 501.1 496.2 0 0 0 0 0 0 298 292.9 287.8 158 157.8 157.6 0 0

0.73 422.7 379.9 0 224.9 134.4 0 463.9 385.1 0 248.4 139.1 0 462.7 456.8 0 249.5 148.1 0 503.2 491.3 0 0 282.7 157.4 0

0.74 417.6 377.2 0 221.2 134.2 0 459.2 382.8 0 244.2 138.8 0 456.6 452.4 0 245 147.8 0 497.6 486.4 0 0 277.6 157.2 0

0.75 412.5 374.5 0 217.5 134 0 454.5 380.5 0 240 138.5 0 450.5 448 0 240.5 147.5 0 492 481.5 0 0 272.5 157 0

0.76 407.4 371.8 0 213.8 133.8 0 449.8 378.2 0 235.8 138.2 0 444.4 443.6 0 236 147.2 0 486.4 476.6 0 0 267.4 156.8 0

0.77 402.3 369.1 0 210.1 133.6 0 445.1 375.9 0 231.6 137.9 0 438.3 439.2 0 231.5 146.9 0 480.8 471.7 0 0 262.3 156.6 0

0.78 397.2 366.4 0 206.4 133.4 0 440.4 373.6 0 227.4 137.6 0 432.2 434.8 0 227 146.6 0 475.2 466.8 0 0 257.2 156.4 0

0.79 392.1 363.7 0 202.7 133.2 0 435.7 371.3 0 223.2 137.3 0 426.1 430.4 0 222.5 146.3 0 469.6 461.9 0 0 252.1 156.2 0

0.8 0.81 0.82 387 382.1 377.2 361 357.9 354.8 0 0 199 195.5 192 133 132.8 132.6 0 0 431 426.7 422.4 369 366.2 363.4 0 0 0 219 215.2 211.4 137 136.9 136.8 0 0 420 414.4 408.8 426 421.8 417.6 0 0 0 218 213.7 209.4 146 145.9 145.8 0 0 464 458.8 453.6 457 452.3 447.6 0 0 0 0 0 0 247 242.2 237.4 156 155.8 155.6 0 0

0.83 372.3 351.7 0 188.5 132.4 0 418.1 360.6 0 207.6 136.7 0 403.2 413.4 0 205.1 145.7 0 448.4 442.9 0 0 232.6 155.4 0

947

940

933

926

919

912

905

898

891

884

877

870

862

854

846

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

715

710

704

698

692

686

680

674

668

662

656

650

645

640

635

520

520

520

520

520

520

520

520

520

520

520

520

520

520

520

0

0

0

0

0

0

0

0

0

0

0

0

0 710

710

710

710

710

710

710

710

710

710

710

710

710

710

710

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

860

850

839

828

817

806

795

784

773

762

751

740

732

724

716

540

540

540

540

540

540

540

540

540

540

540

540

540

540

540

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1204 1190 1178 1166 1154 1142 1130 1118 1106 1094 1082 1070 1058 1046 1034 830 830 830 830 830 830 830 830 830 830 830 830 830 830 830

0.84 367.4 348.6 0 185 132.2 0 413.8 357.8 0 203.8 136.6 0 397.6 409.2 0 200.8 145.6 0 443.2 438.2 0 0 227.8 155.2 0

0.85 362.5 345.5 0 181.5 132 0 409.5 355 0 200 136.5 0 392 405 0 196.5 145.5 0 438 433.5 0 0 223 155 0

0.86 357.6 342.4 0 178 131.8 0 405.2 352.2 0 196.2 136.4 0 386.4 400.8 0 192.2 145.4 0 432.8 428.8 0 0 218.2 154.8 0

0.87 352.7 339.3 0 174.5 131.6 0 400.9 349.4 0 192.4 136.3 0 380.8 396.6 0 187.9 145.3 0 427.6 424.1 0 0 213.4 154.6 0

0.88 347.8 336.2 0 171 131.4 0 396.6 346.6 0 188.6 136.2 0 375.2 392.4 0 183.6 145.2 0 422.4 419.4 0 0 208.6 154.4 0

0.89 342.9 333.1 0 167.5 131.2 0 392.3 343.8 0 184.8 136.1 0 369.6 388.2 0 179.3 145.1 0 417.2 414.7 0 0 203.8 154.2 0

0.9 0.91 0.92 338 333.4 328.8 330 326.2 322.4 0 0 164 160.6 157.2 131 130.9 130.8 0 0 388 383.8 379.6 341 338 335 0 0 0 181 177.3 173.6 136 135.9 135.8 0 0 364 358.7 353.4 384 380.2 376.4 0 0 0 175 171 167 145 144.9 144.8 0 0 412 407.2 402.4 410 405.4 400.8 0 0 0 0 0 0 199 194.4 189.8 154 153.9 153.8 0 0

0.93 324.2 318.6 0 153.8 130.7 0 375.4 332 0 169.9 135.7 0 348.1 372.6 0 163 144.7 0 397.6 396.2 0 0 185.2 153.7 0

0.94 319.6 314.8 0 150.4 130.6 0 371.2 329 0 166.2 135.6 0 342.8 368.8 0 159 144.6 0 392.8 391.6 0 0 180.6 153.6 0

0.95 315 311 0 147 130.5 0 367 326 0 162.5 135.5 0 337.5 365 0 155 144.5 0 388 387 0 0 176 153.5 0

0.96 310.4 307.2 0 143.6 130.4 0 362.8 323 0 158.8 135.4 0 332.2 361.2 0 151 144.4 0 383.2 382.4 0 0 171.4 153.4 0

0.97 305.8 303.4 0 140.2 130.3 0 358.6 320 0 155.1 135.3 0 326.9 357.4 0 147 144.3 0 378.4 377.8 0 0 166.8 153.3 0

0.98 301.2 299.6 0 136.8 130.2 0 354.4 317 0 151.4 135.2 0 321.6 353.6 0 143 144.2 0 373.6 373.2 0 0 162.2 153.2 0

838

830

822

814

806

798

790

782

774

766

758

750

742

734

726

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

630

625

620

615

610

605

600

594

588

582

576

570

564

558

552

520

520

520

520

520

520

520

520

520

520

520

520

520

520

520

0

0

0

0

0

0

0

0

0

0

0

0

0

0

710

710

710

710

710

710

710

710

710

710

710

710

710

710

710

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

708

700

692

684

676

668

660

646

632

618

604

590

576

562

548

540

540

540

540

540

540

540

540

540

540

540

540

540

540

540

0 0 0 0 0 0 0 0 1022 1010 830 830

0 0 0 0 998 830

0 0 0 0 986 830

0 0 0 0 974 830

0 0 0 0 962 830

0 0 0 0 938 830

0 0 0 0 926 830

0 0 0 0 914 830

0 0 0 0 902 830

0 0 0 0 890 830

0 0 0 0 878 830

0 0 0 0 866 830

0 0 0 0 854 830

0 0 950 830

0.99 296.6 295.8 0 133.4 130.1 0 350.2 314 0 147.7 135.1 0 316.3 349.8 0 139 144.1 0 368.8 368.6 0 0 157.6 153.1 0

1 292 292

718

710

0

0

0

0

546

540

520

520

130 130 346 311 0 144 135 311 346 135 144 364 364 0 0 153 153

0 710

710

0

0

0

0

534

520

540

540

0 0 0 0 842 830

0 0 830 830

Losa no Monolitica y otros casos

Concreto Clase 1


CV=

40 Kg/m2

Determinacio

CM=

435 Kg/m2

Perimetro =

W=

2

F´c=

a2 5.32

a1

Fy=

4.7

a1= a2= m= Fs= Wu=

515 Kg/m 2 250 Kg/cm 2

4200 Kg/cm 4.7 m 5.32 m 0.88

Fcorreccion= Pcorregido = dmin

Hefectiva = Revisión por c

2

FR =

2

F*c=

2520 Kg/m 721 Kg/m

=

Vcr= V= Vu= Diseño por Fle Mu=

barra # 3

As= Acero minimo As= S=

Interior Todos los bordes con De borde Un lado corto disco de Peralte Minimo

De borde Un lado largo disco

25.05m

De esquina Dos lado adyacen

1.08 27.054m

Extremo Tres bordes disconti Extremo Tres bordes disconti

11cm 13cm

Aislado Cuatro lado disconti CONCATENAR(REDONDEAR(S

ortante 0.8 200Kg/cm2 6222.54Kg 821Kg 944Kg pasa xion 673 Kg-cm 2

2.02 cm por temperatura 35 cm

tinuos ntinuo ntinuo tes discontinuo nuo un lado largo continuo nuo un lado corto continuo uo I(F8="m",SI(D2="Concreto Clase 1",(VALOR(IZQUIERDA(H6,LARGO(H6)-1)))/250,SI(D2="Concreto Clas

e 2",(VALOR(IZQUIERDA(H6,LARGO(H6)-1)))/170))*100,SI(F8="cm",SI(D2="Concreto Clase 1",(VALOR(

IZQUIERDA(H6,LARGO(H6)-2)))/250,SI(D2="Concreto Clase 2",(VALOR(IZQUIERDA(H6,LARGO(H6)-2)))

diseño de losa(NTC)

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