postensado l=40 b=12m modificar

Luz (m) 40

Acho de Tablero (m) 14

Esperos Tablero (m) 0.21

Acho Zona de Rod (m) 11

Esperos Rod (m) 0.05

N de Vigas 4

Separacion Vigas (Interior) (m) 4

Seccion Simple

H (m) 2.00

A(m2) 0.63

I(m4) 0.3213

Yb(m) 1.0399

Yt (m) 0.9601

ai (m) 0.085

af (m) 0.085

RH(%) 90

Seccion Compuesta

H (m) 2.21

A(m2) 1.256

I(m4) 0.680

Yb(m) 1.57

Yt (m) 0.6360

Calidad del Concreto

Viga f´c(kg/cm2) 350

Ec(kg/cm2) 283972

Tablero f´c(kg/cm2) 280

Ec(kg/cm2) 253992

m 6.94

Acero de Preesfuerzo

Grado 270

Ep (kg/cm2) 1970000 Caldas MK4 D. Farias 1/2 D. Farias /8 AASHTO D. Dueñas CEA

k (1/m) = 0.0025 0.0066 0.0025 0.003 0.0015 0.00066 0.0033 0.0025

= 0.25 0.25 0.22 0.25 0.25 0.25 0.25 0.25

Datos Cuña

a (cm) 0.5

Cargas Externas Por Viga

1808.89

Cargas Muertas 1369.9 1.3

Momento Peso Prop MD(t‐m) 0 63 119 169 212 248 278 301 317 327 331 327 317 301 278 248 212 169 119 63 0

Momento Peso Riostra MR(t‐m) 0 4 9 13 17 22 26 30 35 39 43 39 35 30 26 22 17 13 9 4 0

Momento Peso Losa MDL(t‐m) 0 67 127 180 226 265 296 321 339 349 353 349 339 321 296 265 226 180 127 67 0

Momento Peso Pav MDP(t‐m) 0 12 22 32 40 46 52 56 59 61 62 61 59 56 52 46 40 32 22 12 0

Momento Peso Barr. MDB(t‐m) 0 8 15 21 26 31 34 37 39 40 41 40 39 37 34 31 26 21 15 8 0

Suma Muerta(t‐m) 0 154 292 414 520 611 686 746 789 817 829 817 789 746 686 611 520 414 292 154 0

Cargas Vivas FR 0.85

Momento Camion (t‐m) 0 64 122 171 214 249 277 298 314 322 323 322 314 298 277 249 214 171 122 64 0

Momento Carril (t‐m) 0 39 74 105 132 155 173 187 198 204 206 204 198 187 173 155 132 105 74 39 0

(MCam(1.33)+Mcarr) FR (t‐m) 0 106 201 283 354 413 460 496 523 538 541 538 523 496 460 413 354 283 201 106 0

#T 1/2 P=14.5t 66

#T 5/8 P=21.1t 45

Primera Etapa (Seccion Simple)

Solicitciones

MD(t‐m) 0 63 119 169 212 248 278 301 317 327 331 327 317 301 278 248 212 169 119 63 0

Datos de Postesado

As (cm2) = 1.4

Numero de Torones 12

Calculos Cuña

p (kg/cm) 18.7

X (m) 9.41

Pcuña (t) 35.2

#Cables (N) 2

P(t) 506

Geometria Cables

Cable Promedio C TI 0.5 0.4

x/L 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00

x (m) 0.0 2.00 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0 22.0 24.0 26.0 28.0 30.0 32.0 34.0 36.0 38.0 40.0

y (m) 0.92 0.70 0.51 0.36 0.23 0.13 0.06 0.01 0.00 0.00 0.00 0.00 0.00 0.01 0.06 0.13 0.23 0.36 0.51 0.70 0.92

(rad) 0.107 0.093 0.078 0.064 0.050 0.036 0.021 0.007 0.000 0.000 0.000 0.000 0.000 ‐0.007 ‐0.021 ‐0.036 ‐0.050 ‐0.064 ‐0.078 ‐0.093 ‐0.107

Friccion y Curvatura Pf (t) 506.4 502.1 497.8 493.6 489.4 485.2 481.1 476.9 473.7 471.4 469.0 466.7 464.3 461.2 457.3 453.4 449.5 445.7 441.9 438.1 434.4

Pf (t) 434.4 438.1 441.9 445.7 449.5 453.4 457.3 461.2 464.3 466.7 469.0 471.4 473.7 476.9 481.1 485.2 489.4 493.6 497.8 502.1 506.4

Pmax (t) 506.4 502.1 497.8 493.6 489.4 485.2 481.1 476.9 473.7 471.4 469.0 471.4 473.7 476.9 481.1 485.2 489.4 493.6 497.8 502.1 506.4

0.926163396

Penetracion Cuña Pc (t) 471.2 475.0 478.7 482.4 486.2 485.2 481.1 476.9 473.7 471.4 469.0 466.7 464.3 461.2 457.3 453.4 449.5 445.7 441.9 438.1 434.4

434.4 438.1 441.9 445.7 449.5 453.4 457.3 461.2 464.3 466.7 469.0 471.4 473.7 476.9 481.1 485.2 486.2 482.4 478.7 475.0 471.2

Prom 0 no Prom 1 Pp(t) 452.8 456.5 460.3 464.1 467.8 469.3 469.2 469.1 469.0 469.0 469.0 469.0 469.0 469.1 469.2 469.3 467.8 464.1 460.3 456.5 452.8

0 %P 0.89 0.90 0.91 0.92 0.92 0.93 0.93 0.93 0.93 0.93 0.93 0.93 0.93 0.93 0.93 0.93 0.92 0.92 0.91 0.90 0.89

e(m) 0.04 0.25 0.44 0.60 0.73 0.83 0.90 0.94 0.95 0.95 0.95 0.95 0.95 0.94 0.90 0.83 0.73 0.60 0.44 0.25 0.04

ecom(m) 0.57 0.79 0.97 1.13 1.26 1.36 1.43 1.47 1.49 1.49 1.49 1.49 1.49 1.47 1.43 1.36 1.26 1.13 0.97 0.79 0.57

cp (t/m2) 725 821 1013 1257 1515 1746 1926 2041 2080 2080 2080 2080 2080 2041 1926 1746 1515 1257 1013 821 725

Acortamiento PAC (t) 2.11 2.39 2.95 3.66 4.41 5.09 5.61 5.95 6.06 6.06 6.06 6.06 6.06 5.95 5.61 5.09 4.41 3.66 2.95 2.39 2.11

Calculo de Esfuerzos para Etapa Servicio 1 (Peso Propio+1 Tesionamiento)

P Tranf (t) 451 454 457 460 463 464 464 463 463 463 463 463 463 463 464 464 463 460 457 454 451

Superior Viga (t/m2) 666 568 484 417 367 336 327 337 367 396 406 396 367 337 327 336 367 417 484 568 666

Inferior (t/m2) 778 896 997 1080 1144 1180 1188 1176 1143 1111 1100 1111 1143 1176 1188 1180 1144 1080 997 896 778

t(dias) fci (t/m2) Viga

14 3877

Esfuerzos Admisibles Etapa Servicio 1 (Peso Propio+1 Tesionamiento)

Compresion (t/m2) 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326

Tension (t/m2) ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392

Verificacion Sup Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok

Verificacion Inf Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok

Etapa Servicio 2 Fundida de losa superior

Solicitciones MR+MDL(t‐m) 0 71 136 193 243 286 322 351 373 388 396 388 373 351 322 286 243 193 136 71 0

Calculo de Esfuerzos para Etapa 2 Servicio Fundida Riostras + losa superior

Superior Viga (t/m2) 666 781 890 993 1093 1191 1290 1387 1482 1556 1590 1556 1482 1387 1290 1191 1093 993 890 781 666

Inferior (t/m2) 778 665 558 455 358 254 145 39 ‐65 ‐146 ‐182 ‐146 ‐65 39 145 254 358 455 558 665 778

t(dias) fci (t/m2) Viga

14 3877

Esfuerzos Admisibles Etapa Servicio 2 Fundida Riostras + losa superior

Compresion (t/m2) 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326 2326

Tension (t/m2) ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392 ‐392



Segunda Etapa (Seccion Compuesta)

Solicitciones MDP(t‐m) 0 12 22 32 40 46 52 56 59 61 62 61 59 56 52 46 40 32 22 12 0

MDB(t‐m) 0 8 15 21 26 31 34 37 39 40 41 40 39 37 34 31 26 21 15 8 0

Suma 0 20 37 52 66 77 86 93 99 102 103 102 99 93 86 77 66 52 37 20 0

Datos de Postesado

As (cm2) = 1.4

Numero de Torones 12

Calculos Cuña

p (kg/cm) 19

X (m) 9

Pcuña (t) 35

#Cables (N) 2

P(t) 506

Geometria Cables

Cable Promedio C TI 0.9 0.4

x/L 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00

x (m) 0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0 22.0 24.0 26.0 28.0 30.0 32.0 34.0 36.0 38.0 40.0

y (m) 1.90 1.46 1.07 0.74 0.48 0.27 0.12 0.03 0.00 0.00 0.00 0.00 0.00 0.03 0.12 0.27 0.48 0.74 1.07 1.46 1.90

(rad) 0.220 0.191 0.162 0.133 0.104 0.074 0.045 0.015 0.000 0.000 0.000 0.000 0.000 ‐0.015 ‐0.045 ‐0.074 ‐0.104 ‐0.133 ‐0.162 ‐0.191 ‐0.220

Friccion y Curvatura Pf (t) 506.4 500.3 494.2 488.2 482.2 476.3 470.4 464.6 460.6 458.3 456.0 453.7 451.4 447.5 442.0 436.5 431.2 425.9 420.7 415.6 410.6

Pf (t) 410.6 415.6 420.7 425.9 431.2 436.5 442.0 447.5 451.4 453.7 456.0 458.3 460.6 464.6 470.4 476.3 482.2 488.2 494.2 500.3 506.4

Pmax (t) 506.4 500.3 494.2 488.2 482.2 476.3 470.4 464.6 460.6 458.3 456.0 458.3 460.6 464.6 470.4 476.3 482.2 488.2 494.2 500.3 506.4

Penetracion Cuña Pc (t) 471.2 475.0 478.7 482.4 482.2 476.3 470.4 464.6 460.6 458.3 456.0 453.7 451.4 447.5 442.0 436.5 431.2 425.9 420.7 415.6 410.6

410.6 415.6 420.7 425.9 431.2 436.5 442.0 447.5 451.4 453.7 456.0 458.3 460.6 464.6 470.4 476.3 482.2 482.4 478.7 475.0 471.2

Prom 0 no Prom 1 Pp(t) 440.9 445.3 449.7 454.2 456.7 456.4 456.2 456.1 456.0 456.0 456.0 456.0 456.0 456.1 456.2 456.4 456.7 454.2 449.7 445.3 440.9

0 %P 0.87 0.88 0.89 0.90 0.90 0.90 0.90 0.90 0.90 0.90 0.90 0.90 0.90 0.90 0.90 0.90 0.90 0.90 0.89 0.88 0.87

e(m) ‐0.41 0.03 0.42 0.75 1.01 1.22 1.37 1.46 1.49 1.49 1.49 1.49 1.49 1.46 1.37 1.22 1.01 0.75 0.42 0.03 ‐0.41

Cables 1+2 cp (t/m2) 577 777 1003 1234 1451 1633 1767 1850 1878 1878 1878 1878 1878 1850 1767 1633 1451 1234 1003 777 577

Cables 3+4 +Cargas cp (t/m2) 463 348 294 279 277 267 240 191 122 60 34 60 122 191 240 267 277 279 294 348 463

Total cp (t/m2) 1040 1125 1297 1512 1729 1900 2006 2041 2000 1939 1912 1939 2000 2041 2006 1900 1729 1512 1297 1125 1040

Acortamiento PAC (t) 9 10 11 13 15 17 18 18 17 17 17 17 17 18 18 17 15 13 11 10 9

P Tranf (t) 442 444 446 447 448 448 446 445 445 446 446 446 445 445 446 448 448 447 446 444 442

Superior Losa (t/m2) 523 341 181 44 ‐68 ‐155 ‐217 ‐253 ‐266 ‐266 ‐266 ‐266 ‐266 ‐253 ‐217 ‐155 ‐68 44 181 341 523

Superior Viga (t/m2) 1132 1126 1128 1141 1165 1205 1262 1334 1421 1495 1529 1495 1421 1334 1262 1205 1165 1141 1128 1126 1132

Inferior (t/m2) 705 1051 1344 1583 1766 1875 1915 1897 1825 1747 1712 1747 1825 1897 1915 1875 1766 1583 1344 1051 705

Esfuerzos Admisibles en Etapa Servicio 3 (2 Tensionamiento)

t(dias) fci (t/m2) Viga fci (t/m2) Tablero

28 4300 1750

Compresion Tablero (t/m2) 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050

Compresion Viga (t/m2) 2580 2580 2580 2580 2580 2580 2580 2580 2580 2580 2580 2580 2580 2580 2580 2580 2580 2580 2580 2580 2580

Tension Tablero (t/m2) ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264 ‐264

Tension Viga (t/m2) ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413

Verificacion Sup Ok Ok Ok Ok Ok Ok Ok Ok T T T T T Ok Ok Ok Ok Ok Ok Ok Ok

Verificacion Sup VG Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok Ok


Calculo de Esfuerzos para Etapa Servicio 4 Pavimento + Barreras

Superior Losa (t/m2) 523 359 215 93 ‐6 ‐83 ‐136 ‐166 ‐174 ‐171 ‐170 ‐171 ‐174 ‐166 ‐136 ‐83 ‐6 93 215 359 523

Superior Viga (t/m2) 1132 1138 1151 1173 1207 1253 1316 1393 1483 1559 1593 1559 1483 1393 1316 1253 1207 1173 1151 1138 1132

Inferior (t/m2) 705 1005 1259 1462 1614 1697 1715 1681 1597 1512 1474 1512 1597 1681 1715 1697 1614 1462 1259 1005 705

Esfuerzos Admisibles en Etapa Servicio 4 Pavimento + Barreras


28 4300 2100




Tension Viga (t/m2) ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413




Calculo de Esfuerzos para Etapa Servicio 3 (2 Tensionamiento)

‐0.30

0.20

0.70

1.20

1.70

2.20

0.0 5.0 10.0 15.0 20.0 25.0 30.0 35.0 40.0 45.0

Título del gráfico

‐0.30

0.20

0.70

1.20

1.70

2.20

0.0 5.0 10.0 15.0 20.0 25.0 30.0 35.0 40.0 45.0

Título del gráfico

Calculo de Esfuerzos para Etapa Servicio 5 Carga Vehicular

Superior Losa (t/m2) 523 458 403 358 325 303 294 298 315 332 335 332 315 298 294 303 325 358 403 458 523

Superior Viga (t/m2) 1132 1205 1277 1351 1428 1512 1604 1703 1810 1896 1931 1896 1810 1703 1604 1512 1428 1351 1277 1205 1132

Inferior (t/m2) 705 760 794 806 794 741 650 532 386 267 223 267 386 532 650 741 794 806 794 760 705

Esfuerzos Admisibles en Etapa Servicio 5 Carga Vehicular


28 4300 2800




Tension Viga (t/m2) ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413 ‐413




PERDIDAS DIFERIDAS

ecntro (m) 0.08 0.41 0.70 0.94 1.14 1.29 1.40 1.47 1.49 1.49 1.49 1.49 1.49 1.47 1.40 1.29 1.14 0.94 0.70 0.41 0.08

fcgp (t/m2) 720 848 1069 1332 1593 1803 1937 1990 1957 1898 1872 1898 1957 1990 1937 1803 1593 1332 1069 848 720

fcd (t/m2) 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0

t(dias) ϕ(t,t 0 ) Eci(kg/cm2) εcs 10000 1.9 298779 0.00044

Kdf 0.92 0.90 0.86 0.82 0.78 0.75 0.72 0.71 0.70 0.70 0.70 0.70 0.70 0.71 0.72 0.75 0.78 0.82 0.86 0.90 0.92

Retaccion PSD (t) 54 53 50 48 46 44 42 41 41 41 41 41 41 41 42 44 46 48 50 53 54

Flujo Plastico PCD (t) 57 66 80 94 107 116 121 121 118 115 113 115 118 121 121 116 107 94 80 66 57

Relajacion PR1 (t) 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5

Pt (t) ‐117 ‐124 ‐135 ‐148 ‐158 ‐165 ‐168 ‐168 ‐165 ‐161 ‐160 ‐161 ‐165 ‐168 ‐168 ‐165 ‐158 ‐148 ‐135 ‐124 ‐117

P final (t) 776 774 768 760 754 747 741 740 744 748 749 748 744 740 741 747 754 760 768 774 776

77% 76% 76% 75% 74% 74% 73% 73% 73% 74% 74% 74% 73% 73% 73% 74% 74% 75% 76% 76% 77%

26%

Esfuerzos Por Perdidas Largo Plazo

Superior Losa (t/m2) ‐84 ‐51 ‐19 12 43 68 87 97 98 96 95 96 98 97 87 68 43 12 ‐19 ‐51 ‐84

Superior Viga (t/m2) ‐87 ‐67 ‐48 ‐30 ‐13 2 14 21 23 22 22 22 23 21 14 2 ‐13 ‐30 ‐48 ‐67 ‐87

Inferior (t/m2) ‐116 ‐218 ‐327 ‐439 ‐542 ‐625 ‐679 ‐705 ‐700 ‐685 ‐678 ‐685 ‐700 ‐705 ‐679 ‐625 ‐542 ‐439 ‐327 ‐218 ‐116

Calculo de Esfuerzos para Etapa Servicio 6 Pavimento + Barreras

Superior Losa (t/m2) 439 308 196 106 36 ‐15 ‐49 ‐69 ‐75 ‐75 ‐75 ‐75 ‐75 ‐69 ‐49 ‐15 36 106 196 308 439

Superior Viga (t/m2) 1046 1072 1103 1143 1194 1256 1330 1413 1505 1581 1615 1581 1505 1413 1330 1256 1194 1143 1103 1072 1046

Inferior (t/m2) 590 788 931 1023 1071 1072 1036 977 897 827 796 827 897 977 1036 1072 1071 1023 931 788 590

Esfuerzos Admisibles en Etapa Servicio 6 Pavimento + Barreras


10000 5449 2800




Tension Viga (t/m2) ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369




Calculo de Esfuerzos para Etapa Servicio 7 Carga Vehicular

Superior Losa (t/m2) 439 408 384 370 367 371 381 395 414 428 431 428 414 395 381 371 367 370 384 408 439

Superior Viga (t/m2) 1046 1138 1228 1320 1415 1514 1618 1724 1833 1918 1953 1918 1833 1724 1618 1514 1415 1320 1228 1138 1046

Inferior (t/m2) 590 542 467 367 252 116 ‐29 ‐172 ‐313 ‐418 ‐455 ‐418 ‐313 ‐172 ‐29 116 252 367 467 542 590

Esfuerzos Admisibles en Etapa Servicio 7 Carga Vehicular


10000 5449 2800




Tension Viga (t/m2) ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369 ‐369



Verificacion Inf Ok Ok Ok Ok Ok Ok Ok Ok Ok T T T Ok Ok Ok Ok Ok Ok Ok Ok Ok

postensado l=40 b=12m modificar

Documents