Tablas Parámetros Puentes

Carga HL-93:

MOMENTOS DE DISEÑO HL-93

FATIGA

L (m)

6 13.157 4.275 37.875 11.088 14.393 5.0407 21.018 5.819 45.019 12.936 19.195 5.8808 28.983 7.600 52.400 14.784 23.720 6.7209 37.017 9.619 60.019 16.632 28.060 7.560

10 45.100 11.875 67.875 18.480 32.270 8.40011 53.218 14.369 75.969 20.328 36.387 9.24012 61.363 17.100 84.300 22.176 40.432 10.08013 69.529 20.069 92.869 24.024 45.387 10.92014 77.710 23.275 101.675 25.872 50.440 11.76015 85.905 26.719 112.624 28.349 56.985 12.60016 94.109 30.400 124.509 31.056 64.827 13.44017 102.323 34.319 136.642 33.767 72.721 14.28018 110.543 38.475 149.018 36.479 80.658 15.12019 118.770 42.869 161.639 39.194 88.630 15.96020 127.001 47.500 174.501 41.910 96.633 16.80021 135.237 52.369 187.606 44.628 104.662 17.64022 143.477 57.475 200.952 47.347 112.714 18.48023 151.720 62.819 214.539 50.068 120.786 19.32024 159.966 68.400 228.366 52.789 128.874 20.16025 168.215 74.219 242.434 55.511 136.978 21.00026 176.466 80.275 256.741 58.234 145.095 21.84027 184.719 86.569 271.288 60.957 153.224 22.98428 192.973 93.100 286.073 63.681 161.364 24.20529 201.229 99.869 301.098 66.406 169.513 25.42730 209.487 106.875 316.362 69.131 177.670 26.65031 217.746 114.119 331.865 71.856 185.836 27.87532 226.006 121.600 347.606 74.582 194.008 29.10133 234.267 129.319 363.586 77.308 202.187 30.32834 242.529 137.275 379.804 80.035 210.372 31.55635 250.792 145.469 396.261 82.761 218.562 32.78436 259.056 153.900 412.956 85.488 226.757 34.01437 267.321 162.569 429.890 88.216 234.956 35.24338 275.586 171.475 447.061 90.943 243.160 36.47439 283.852 180.619 464.471 93.671 251.367 37.70540 292.119 190.000 482.119 96.399 259.578 38.93741 300.386 199.619 500.005 99.127 267.792 40.16942 308.653 209.475 518.128 101.855 276.009 41.40143 316.921 219.569 536.490 104.584 284.229 42.63444 325.190 229.900 555.090 107.313 292.452 43.86845 333.459 240.469 573.928 110.041 300.677 45.10246 341.728 251.275 593.003 112.770 308.904 46.33647 349.998 262.319 612.317 115.499 317.133 47.57048 358.268 273.600 631.868 118.228 325.365 48.805

Momento debido a camion

HL-93

Sobre Carga Distribuida

(tn.m)

Momento de diseño (MLL)

Momento de Impacto (MIM)

Momento de diseño (HL-93)

MLL

Momento de Impacto debido a

fatiga (MIM)

49 366.538 285.119 651.657 120.958 333.598 50.04050 374.808 296.875 671.683 123.687 341.833 51.27551 383.079 308.869 691.948 126.416 350.070 52.51152 391.351 321.100 712.451 129.146 358.309 53.74653 399.622 333.569 733.191 131.875 366.548 54.98254 407.894 346.275 754.169 134.605 374.790 56.21955 416.165 359.219 775.384 137.334 383.032 57.45556 424.438 372.400 796.838 140.065 391.276 58.69157 432.710 385.819 818.529 142.794 399.521 59.92858 440.982 399.475 840.457 145.524 407.767 61.16559 449.255 413.369 862.624 148.254 416.015 62.40260 457.528 427.500 885.028 150.984 424.263 63.63961 465.801 441.869 907.670 153.714 432.512 64.87762 474.074 456.475 930.549 156.444 440.762 66.11463 482.347 471.319 953.666 159.175 449.013 67.35264 490.620 486.400 977.020 161.905 457.265 68.59065 498.894 501.719 1000.613 164.635 465.518 69.82866 507.168 517.275 1024.443 167.365 473.771 71.06667 515.441 533.069 1048.510 170.096 482.025 72.30468 523.715 549.100 1072.815 172.826 490.280 73.54269 531.989 565.369 1097.358 175.556 498.536 74.78070 540.264 581.875 1122.139 178.287 506.792 76.01971 548.538 598.619 1147.157 181.018 515.049 77.25772 556.812 615.600 1172.412 183.748 523.306 78.49673 565.087 632.819 1197.906 186.479 531.564 79.73574 573.361 650.275 1223.636 189.209 539.822 80.97375 581.636 667.969 1249.605 191.940 548.081 82.21276 589.910 685.900 1275.810 194.670 556.341 83.45177 598.185 704.069 1302.254 197.401 564.601 84.69078 606.460 722.475 1328.935 200.132 572.861 85.92979 614.735 741.119 1355.854 202.863 581.122 87.16880 623.010 760.000 1383.010 205.593 589.383 88.407

112.624 28.34865

FUERZAS CORTANTES DE DISEÑO HL-93FATIGA

L (m)

6 23.004 6.653 23.004 3.0247 23.798 6.758 23.798 3.0728 25.395 7.129 25.395 3.2409 26.910 7.473 25.173 3.136

10 28.431 7.818 25.796 3.15811 29.761 8.101 26.392 3.17712 30.949 8.336 26.968 3.19213 32.027 8.535 27.528 3.20514 33.018 8.706 28.076 3.21615 33.941 8.854 28.614 3.22616 34.807 8.984 29.420 3.27517 35.628 9.098 30.557 3.37518 36.410 9.200 31.621 3.46319 37.159 9.290 32.622 3.54220 37.881 9.372 33.571 3.61421 38.579 9.446 34.475 3.67822 39.257 9.514 35.339 3.73723 39.917 9.575 36.170 3.79024 40.562 9.631 36.970 3.83925 41.193 9.683 37.745 3.88426 41.812 9.731 38.497 3.92627 42.420 9.775 39.228 3.96428 43.019 9.816 39.940 4.00029 43.609 9.855 40.636 4.03430 44.191 9.890 41.318 4.06531 44.766 9.924 41.986 4.09432 45.335 9.955 42.642 4.12133 45.898 9.985 43.286 4.14734 46.456 10.012 43.921 4.17135 47.010 10.038 44.547 4.19436 47.558 10.063 45.164 4.21537 48.103 10.086 45.773 4.23538 48.644 10.109 46.376 4.25539 49.182 10.130 46.971 4.27340 49.716 10.149 47.561 4.29041 50.247 10.168 48.145 4.30742 50.776 10.186 48.724 4.32243 51.302 10.204 49.298 4.33744 51.826 10.220 49.867 4.35245 52.348 10.236 50.432 4.36546 52.867 10.251 50.993 4.37847 53.385 10.265 51.551 4.39148 53.900 10.279 52.105 4.403

Cortante de diseño (MLL)

Cortante de Impacto

(MIM)

Cortante de diseño por fatiga

(MLL)

Coratnte de Impacto debido a

fatiga (MIM)

49 54.415 10.292 52.655 4.41450 54.927 10.305 53.203 4.42551 55.438 10.317 53.748 4.43652 55.947 10.329 54.290 4.44653 56.456 10.340 54.829 4.45654 56.963 10.351 55.366 4.46655 57.468 10.361 55.901 4.47556 57.973 10.372 56.434 4.48357 58.476 10.381 56.964 4.49258 58.979 10.391 57.493 4.50059 59.480 10.400 58.019 4.50860 59.981 10.409 58.544 4.51661 60.481 10.417 59.068 4.52362 60.980 10.425 59.589 4.53063 61.478 10.433 60.110 4.53764 61.975 10.441 60.628 4.54465 62.472 10.448 61.146 4.55066 62.968 10.456 61.662 4.55767 63.463 10.463 62.177 4.56368 63.958 10.469 62.690 4.56969 64.452 10.476 63.203 4.57470 64.945 10.483 63.714 4.58071 65.438 10.489 64.224 4.58672 65.931 10.495 64.734 4.59173 66.423 10.501 65.242 4.59674 66.914 10.507 65.749 4.60175 67.405 10.512 66.256 4.60676 67.896 10.518 66.761 4.61177 68.386 10.523 67.266 4.61578 68.875 10.528 67.770 4.62079 69.365 10.533 68.274 4.62480 69.854 10.538 68.776 4.628

CALCULO DE MOMENTO MAXIMO ABSOLUTO PARA EL CAMION HL-93

UBICACIÓN DE CAMION DE DISEÑO

Longitud L= 30.00 m W= 0.96Distancia entre eje de 145 Kn dt= 4.30 mPeso de eje delantero P= 3.568 tn

MMA: Momento maximo absoluto debido al camion HL-93

Xr= 2.845 m a= 1.455 m

CALCULO DE MOMENTOS MAXIMOS PARA X VARIABLE

x/L X(m) Y1 Y2 Y3 Mmax (tn.m) MMA(tn.m)

0.000 0.00 0.000 0.000 0.000 0.000 0.0000.025 0.75 0.000 0.731 0.624 13.027 20.0150.050 1.50 0.000 1.425 1.210 25.367 38.9230.075 2.25 0.000 2.081 1.759 37.018 56.7230.100 3.00 0.000 2.700 2.270 47.982 73.4140.125 3.75 0.000 3.281 2.744 58.259 88.9980.150 4.50 0.170 3.825 3.180 70.358 104.081

rtt Xdad

Xr

28.9

30.414.5 L

xLxYYY

L

dxxLY

L

xLxY t 30.4

3max21max

)30.4((14.4))(14.4)max( xLxxLxdtxxLL

PM CD

Xrdt 4.30x-dt

4.14P 4.14P PR

L-x-4.3

e

a

P4.14P4.14P

Ymax Y2

Y3Y1

a/2 a/2

x L-x

x

L/2 L/2

Le

0.175 5.25 0.784 4.331 3.579 88.325 119.6390.200 6.00 1.360 4.800 3.940 105.050 133.9560.225 6.75 1.899 5.231 4.264 120.534 147.0300.250 7.50 2.400 5.625 4.550 134.776 158.8630.275 8.25 2.864 5.981 4.799 147.776 169.4550.300 9.00 3.290 6.300 5.010 159.535 178.8050.325 9.75 3.679 6.581 5.184 170.051 186.9130.350 10.50 4.030 6.825 5.320 179.327 193.7790.375 11.25 4.344 7.031 5.419 187.360 199.4040.400 12.00 4.620 7.200 5.480 194.152 203.7870.425 12.75 4.859 7.331 5.504 199.702 206.9280.450 13.50 5.060 7.425 5.490 204.011 208.8280.475 14.25 5.224 7.481 5.439 207.078 209.4860.500 15.00 5.350 7.500 5.350 208.903 208.9030.525 15.75 5.439 7.481 5.224 209.4860.550 16.50 5.490 7.425 5.060 208.8280.575 17.25 5.504 7.331 4.859 206.9280.600 18.00 5.480 7.200 4.620 203.7870.625 18.75 5.419 7.031 4.344 199.4040.650 19.50 5.320 6.825 4.030 193.7790.675 20.25 5.184 6.581 3.679 186.9130.700 21.00 5.010 6.300 3.290 178.8050.725 21.75 4.799 5.981 2.864 169.4550.750 22.50 4.550 5.625 2.400 158.8630.775 23.25 4.264 5.231 1.899 147.0300.800 24.00 3.940 4.800 1.360 133.9560.825 24.75 3.579 4.331 0.784 119.6390.850 25.50 3.180 3.825 0.170 104.0810.875 26.25 2.744 3.281 0.000 88.9980.900 27.00 2.270 2.700 0.000 73.4140.925 27.75 1.759 2.081 0.000 56.7230.950 28.50 1.210 1.425 0.000 38.9230.975 29.25 0.624 0.731 0.000 20.0151.000 30.00 0.000 0.000 0.000 0.000

Momento Maximo Absoluto0.524 15.73 5.437 7.482 5.228 209.487

tn/m2

L

xLxYYY

L

dxxLY

L

xLxY t 30.4

3max21max

CALCULO DE FUERZA CORTANTE PARA EL CAMION HL-93

Cálculo de fuerza cortante para diferentes secciones debido al camion de diseño HL-93

Longitud L= 30.0 mDistancia entre eje de 145 Kn dt= 4.3 mPeso de eje delantero P= 3.568 tn

CALCULO DE MOMENTOS MAXIMOS PARA X VARIABLE

x/L X(m) Y1 Y2 Y3 Vmax (tn.m) VMA (tn)

0.000 0.00 1.000 0.857 0.713 29.971 29.9710.025 0.75 0.950 0.810 0.671 28.396 28.3960.050 1.50 0.900 0.764 0.628 26.825 26.8250.075 2.25 0.850 0.718 0.587 25.259 25.2590.100 3.00 0.800 0.673 0.545 23.698 23.6980.125 3.75 0.750 0.627 0.504 22.142 22.1420.150 4.50 0.700 0.582 0.464 20.592 20.5920.175 5.25 0.650 0.537 0.424 19.048 19.0480.200 6.00 0.600 0.492 0.385 17.512 17.5120.225 6.75 0.550 0.448 0.347 15.983 15.9830.250 7.50 0.500 0.404 0.309 14.462 14.4620.275 8.25 0.450 0.361 0.272 12.951 12.951

4.14P 4.14P P

L

Y1 Y2

x dt 4.30

Y3(L-x)/L

x/L

P4.14P4.14P

X dt 4.30 (L-x-dt-4.30)

xLL

dxLxLY

xLL

dxLxLY

L

xLY tt

30.42221 32

xL

dxLxL

xL

dxLxLxL

L

PV tt

CD

3.42)(214.4)2(14.4)max(

30.414.528.9)max( tabs dLL

PV

0.300 9.00 0.400 0.318 0.236 11.450 11.4500.325 9.75 0.350 0.276 0.201 9.961 9.9610.350 10.50 0.300 0.234 0.168 8.484 8.4840.375 11.25 0.250 0.193 0.135 7.022 7.0220.400 12.00 0.200 0.152 0.104 5.576 5.5760.425 12.75 0.150 0.113 0.075 4.148 4.1480.450 13.50 0.100 0.074 0.048 2.740 2.7400.475 14.25 0.050 0.036 0.023 1.356 1.3560.500 15.00 0.000 0.000 0.000 0.000 0.0000.525 15.75 -0.050 -0.035 -0.020 -1.3250.550 16.50 -0.100 -0.068 -0.036 -2.6130.575 17.25 -0.150 -0.099 -0.049 -3.8580.600 18.00 -0.200 -0.128 -0.057 -5.0520.625 18.75 -0.250 -0.154 -0.059 -6.1840.650 19.50 -0.300 -0.177 -0.054 -7.2420.675 20.25 -0.350 -0.196 -0.041 -8.2070.700 21.00 -0.400 -0.209 -0.018 -9.0580.725 21.75 -0.450 -0.215 0.000 -9.8300.750 22.50 -0.500 -0.213 0.000 -10.5370.775 23.25 -0.550 -0.200 0.000 -11.0730.800 24.00 -0.600 -0.170 0.000 -11.3740.825 24.75 -0.650 -0.118 0.000 -11.3390.850 25.50 -0.700 -0.031 0.000 -10.8000.875 26.25 -0.750 0.000 0.000 -11.0790.900 27.00 -0.800 0.000 0.000 -11.8170.925 27.75 -0.850 0.000 0.000 -12.5560.950 28.50 -0.900 0.000 0.000 -13.2940.975 29.25 -0.950 0.000 0.000 -14.0331.000 30.00 -1.000 0.000 0.000 -14.772

Fuerza cortante maxima0.000 0.00 1.000 0.857 0.713 29.971

CÁLCULO DE MOMENTO MAXIMO ABSOLUTO POR FATIGA PARA EL CAMION HL-93



Xr= 5.448 m a= 3.552 mMMAF : Momento maximo absoluto debido a carga de fatiga.CALCULO DE MOMENTOS MAXIMOS PARA X VARIABLE

x/L X(m) Y1 Y2 Y3 Mmax (tn.m) MAMF (tn.m)

0.000 0.00 0.000 0.000 0.000 0.000 0.0000.025 0.75 0.000 0.731 0.624 13.027 18.2800.050 1.50 0.000 1.425 1.210 25.367 35.4520.075 2.25 0.000 2.081 1.759 37.018 51.5160.100 3.00 0.000 2.700 2.270 47.982 66.4720.125 3.75 0.000 3.281 2.744 58.259 80.3200.150 4.50 0.000 3.825 3.180 67.847 93.6670.175 5.25 0.000 4.331 3.579 76.748 107.4900.200 6.00 0.000 4.800 3.940 84.961 120.0700.225 6.75 0.000 5.231 4.264 92.487 131.4090.250 7.50 0.000 5.625 4.550 99.324 141.5070.275 8.25 0.000 5.981 4.799 105.474 150.3630.300 9.00 0.000 6.300 5.010 110.936 157.9770.325 9.75 0.506 6.581 5.184 123.189 164.3490.350 10.50 0.975 6.825 5.320 134.200 169.4800.375 11.25 1.406 7.031 5.419 143.969 173.3690.400 12.00 1.800 7.200 5.480 152.496 176.0170.425 12.75 2.156 7.331 5.504 159.782 177.4220.450 13.50 2.475 7.425 5.490 165.826 177.5860.475 14.25 2.756 7.481 5.439 170.629 176.5090.500 15.00 3.000 7.500 5.350 174.190 174.1900.525 15.75 3.206 7.481 5.224 176.5090.550 16.50 3.375 7.425 5.060 177.586

rtt Xdad

Xr

28.9

30.414.5

L

xLxYYY

L

dxxLY

L

xLxY t 30.4

3max21max

)30.4((14.4))(14.4)max( xLxxLxdtxxLL

PM CD

0.575 17.25 3.506 7.331 4.859 177.4220.600 18.00 3.600 7.200 4.620 176.0170.625 18.75 3.656 7.031 4.344 173.3690.650 19.50 3.675 6.825 4.030 169.4800.675 20.25 3.656 6.581 3.679 164.3490.700 21.00 3.600 6.300 3.290 157.9770.725 21.75 3.506 5.981 2.864 150.3630.750 22.50 3.375 5.625 2.400 141.5070.775 23.25 3.206 5.231 1.899 131.4090.800 24.00 3.000 4.800 1.360 120.0700.825 24.75 2.756 4.331 0.784 107.4900.850 25.50 2.475 3.825 0.170 93.6670.875 26.25 2.156 3.281 0.000 80.3200.900 27.00 1.800 2.700 0.000 66.4720.925 27.75 1.406 2.081 0.000 51.5160.950 28.50 0.975 1.425 0.000 35.4520.975 29.25 0.506 0.731 0.000 18.2801.000 30.00 0.000 0.000 0.000 0.000

Momento Maximo Absoluto0.559 16.78 3.428 7.395 4.990 177.670

CALCULO DE FUERZA CORTANTE POR FATIGA PARA EL CAMION HL-93



VMAF : Momento Maximo Nominal Absoluto debido a carga de fatiga

CALCULO DE CORTANTES MAXIMOS PARA X VARIABLE

x/L X(m) Y1 Y2 Y3 Vmax (tn.m) VMAF(tn-m)

0.000 0.00 1.000 0.700 0.557 27.098 27.0980.025 0.75 0.950 0.658 0.518 25.596 25.5960.050 1.50 0.900 0.616 0.480 24.103 24.1030.075 2.25 0.850 0.574 0.443 22.619 22.6190.100 3.00 0.800 0.533 0.406 21.144 21.1440.125 3.75 0.750 0.493 0.370 19.679 19.6790.150 4.50 0.700 0.453 0.335 18.226 18.2260.175 5.25 0.650 0.414 0.301 16.784 16.7840.200 6.00 0.600 0.375 0.268 15.357 15.3570.225 6.75 0.550 0.337 0.235 13.944 13.944

4.14P 4.14P P

L

Y1 Y2

x dt 4.30

Y3(L-x)/L

x/L

P4.14P4.14P

X dt 4.30 (L-x-dt-4.30)

xLL

dxLxLY

xLL

dxLxLY

L

xLY tt

30.42221 32

xL

dxLxL

xL

dxLxLxL

L

PV tt

CD

3.42)(214.4)2(14.4)max(

30.414.528.9)max( tabs dLL

PV

0.250 7.50 0.500 0.300 0.204 12.547 12.5470.275 8.25 0.450 0.264 0.175 11.168 11.1680.300 9.00 0.400 0.229 0.147 9.808 9.8080.325 9.75 0.350 0.194 0.120 8.471 8.4710.350 10.50 0.300 0.162 0.095 7.158 7.1580.375 11.25 0.250 0.130 0.073 5.872 5.8720.400 12.00 0.200 0.100 0.052 4.618 4.6180.425 12.75 0.150 0.072 0.034 3.398 3.3980.450 13.50 0.100 0.045 0.019 2.218 2.2180.475 14.25 0.050 0.021 0.008 1.083 1.0830.500 15.00 0.000 0.000 0.000 0.000 0.0000.525 15.75 -0.050 -0.018 -0.003 -1.0230.550 16.50 -0.100 -0.033 -0.001 -1.9750.575 17.25 -0.150 -0.044 0.000 -2.8670.600 18.00 -0.200 -0.050 0.000 -3.6930.625 18.75 -0.250 -0.050 0.000 -4.4310.650 19.50 -0.300 -0.043 0.000 -5.0650.675 20.25 -0.350 -0.027 0.000 -5.5680.700 21.00 -0.400 0.000 0.000 -5.9090.725 21.75 -0.450 0.000 0.000 -6.6470.750 22.50 -0.500 0.000 0.000 -7.3860.775 23.25 -0.550 0.000 0.000 -8.1240.800 24.00 -0.600 0.000 0.000 -8.8630.825 24.75 -0.650 0.000 0.000 -9.6010.850 25.50 -0.700 0.000 0.000 -10.3400.875 26.25 -0.750 0.000 0.000 -11.0790.900 27.00 -0.800 0.000 0.000 -11.8170.925 27.75 -0.850 0.000 0.000 -12.5560.950 28.50 -0.900 0.000 0.000 -13.2940.975 29.25 -0.950 0.000 0.000 -14.0331.000 30.00 -1.000 0.000 0.000 -14.772

Fuerza cortante maxima0.000 0.00 1.000 0.700 0.557 27.098

Tablas Parámetros Puentes

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