MODELOS DE EMPARRILLADO

APLICACIÓN A UN PUENTE CARRETERO

INTRODUCCIÓN � Que es un modelo de elementos finitos?

� Este método permite la solución aproximada de las ecuaciones diferenciales parciales. Se basa en el empleo de subdivisiones del dominio (geométrico) del problema en un número finito de elementos más pequeños denominados elementos finitos, por contraposición a la idea de continuidad tradicional del cálculo diferencial.

� Con que se realiza un modelo de elementos finitos?

� Existe una gran cantidad de software de calculo: STAAD Pro, SAP 2000, Cosmos, Ram Advance, ETABS, CYPE, Pplan, etc.

� Que es un modelo de emparrillado?

� Es un modelo de elementos finitos espacial, en el cual se representan a la losa y las vigas por medio de elementos tipo barra.

INTRODUCCIÓN � Cual es el objetivo de realizar un modelo de emparrillado?

� Analizar la distribución transversal de la carga.

� Determinar las solicitaciones máximas en las vigas principales del puente.

� Determinar las deformaciones esperadas en pruebas de carga.

� Opcionalmente, para determinar las solicitaciones en las riostras.

� Opcionalmente, para determinar las solicitaciones en la losa (prestar atencion al coeficiente de impacto y distribución de carga).

� Cual es la diferencia con el modelo de calculo empleado en el trabajo practico?

� Ventajas en puentes donde la oblicuidad es importante.

MODELO DE EMPARRILLADO TIPICO

EJEMPLO DE APLICACION

EJEMPLO DE APLICACIÓN� Determinación de las solicitaciones sobre vigas principales de un puente

carretero categoría A30.

� Características:� Luz Parcial: 26.30 mts� Luz Calculo: 25.50 mts� Categoría: A30� Cantidad Aplanadoras: 2� Calidad Materiales:

� Hormigón “In Situ”: H-21� Hormigón Vigas Prefabricadas: H-30

DATOS A INTRODUCIR EN EL MODELO

� Geometría

� Vigas Principales

� Losa

� Propiedades Geométricas de los Elementos

� Condiciones de Borde de los Elementos (“Releases”)

� Condiciones de Borde Globales ó del Modelo (“Supports”)

� Cargas Actuantes (Aplanadoras con Impacto – descontando muchedumbre compacta)

� Características de los materiales empleados (Modulo de Elasticidad)

EJEMPLO DE APLICACIÓNGEOMETRIA

25.50m

2.50m

2.50m

11.70m

0.50m

0.85m2.50m

2.50m

0.85m

Load 1

EJEMPLO DE APLICACIÓNPROPIEDADES GEOMETRICAS

25.50m

2.50m

2.50m

11.70m

0.50m

0.85m2.50m

2.50m

0.85m

Load 1

25.50m

2.50m

2.50m

11.70m

0.50m

0.85m2.50m

2.50m

0.85m

Load 1

EJEMPLO DE APLICACIÓNPROPIEDADES GEOMETRICAS

EJEMPLO DE APLICACIÓNINTRODUCCION DE CARGAS

LOSA

H°A°

CARPETA

RODAMIENTO

RODILLO

APLANADORA

EJEMPLO DE APLICACIÓNDEFORMACIONES

EJEMPLO DE APLICACIÓNDEFORMACIONES – SIN RIOSTRA CENTRAL

� MAXIMOS DESPLAZAMIENTOS

� 3.517 mm

� 12.864 mm

� 17.366 mm (VIGA CENTRAL)

� 12.864 mm

� 3.517 mm

Max: 2.231 mm Max: 5.776 mm Max: 6.454 mm Max: 2.404 mmMax: 0.221 mm Max: 2.964 mm Max: 6.700 mm Max: 7.101 mm Max: 2.559 mmMax: 0.441 mm Max: 3.689 mm Max: 7.606 mm Max: 7.725 mm Max: 2.704 mmMax: 0.659 mm Max: 4.402 mm Max: 8.491 mm Max: 8.325 mm Max: 2.839 mmMax: 0.875 mm Max: 5.103 mm Max: 9.353 mm Max: 8.898 mm Max: 2.962 mmMax: 1.087 mm Max: 5.787 mm Max: 10.189 mm Max: 9.442 mm Max: 3.074 mmMax: 1.295 mmMax: 6.454 mm Max: 10.996 mm Max: 9.954 mm Max: 3.173 mmMax: 1.497 mmMax: 7.101 mm Max: 11.771 mm Max: 10.433 mm

Max: 3.260 mmMax: 1.694 mmMax: 7.725 mm Max: 12.511 mm Max: 10.876 mm

Max: 3.335 mmMax: 1.883 mmMax: 8.325 mm Max: 13.213 mm Max: 11.281 mm

Max: 3.397 mmMax: 2.065 mmMax: 8.898 mm

Max: 13.873 mm Max: 11.646 mmMax: 3.446 mmMax: 2.239 mm

Max: 9.442 mmMax: 14.488 mm Max: 11.967 mm

Max: 3.483 mmMax: 2.404 mmMax: 9.954 mm

Max: 15.056 mm Max: 12.244 mmMax: 3.506 mmMax: 2.559 mm

Max: 10.433 mmMax: 15.572 mm Max: 12.474 mm

Max: 3.517 mmMax: 2.704 mmMax: 10.876 mm

Max: 16.032 mm Max: 12.654 mmMax: 3.517 mm

Max: 2.839 mmMax: 11.281 mm

Max: 16.433 mm Max: 12.783 mm

Max: 3.514 mmMax: 2.962 mm

Max: 11.646 mmMax: 16.770 mm Max: 12.849 mm

Max: 3.499 mmMax: 3.074 mm

Max: 11.967 mmMax: 17.040 mm Max: 12.864 mm

Max: 3.471 mmMax: 3.173 mm

Max: 12.244 mmMax: 17.239 mm

Max: 12.863 mmMax: 3.430 mm

Max: 3.260 mmMax: 12.474 mm Max: 17.340 mm

Max: 12.823 mmMax: 3.377 mm

Max: 3.335 mmMax: 12.654 mm Max: 17.366 mm

Max: 12.730 mmMax: 3.312 mm

Max: 3.397 mmMax: 12.783 mm Max: 17.365 mm Max: 12.586 mm

Max: 3.235 mm

Max: 3.446 mmMax: 12.849 mm Max: 17.316 mm Max: 12.389 mm

Max: 3.146 mm

Max: 3.483 mmMax: 12.864 mm Max: 17.194 mm Max: 12.135 mm

Max: 3.045 mm

Max: 3.506 mm Max: 12.863 mm Max: 16.998 mm Max: 11.833 mmMax: 2.932 mm

Max: 3.517 mm Max: 12.823 mm Max: 16.729 mm Max: 11.483 mmMax: 2.808 mm

Max: 3.517 mmMax: 12.730 mm Max: 16.370 mm Max: 11.090 mm

Max: 2.674 mmMax: 3.514 mm

Max: 12.586 mm Max: 15.943 mm Max: 10.654 mmMax: 2.529 mm

Max: 3.499 mmMax: 12.389 mm Max: 15.452 mm Max: 10.179 mm

Max: 2.375 mmMax: 3.471 mm

Max: 12.135 mm Max: 14.902 mm Max: 9.668 mmMax: 2.211 mm

Max: 3.430 mmMax: 11.833 mm Max: 14.296 mm Max: 9.121 mm Max: 2.039 mm

Max: 3.377 mmMax: 11.483 mm Max: 13.639 mm Max: 8.543 mm Max: 1.859 mm

Max: 3.312 mmMax: 11.090 mm Max: 12.935 mm Max: 7.935 mm Max: 1.671 mm

Max: 3.235 mmMax: 10.654 mm Max: 12.187 mm Max: 7.300 mm Max: 1.477 mm

Max: 3.146 mmMax: 10.179 mm Max: 11.399 mm Max: 6.640 mm Max: 1.277 mm

Max: 3.045 mmMax: 9.668 mm Max: 10.574 mm Max: 5.958 mm Max: 1.072 mm

Max: 2.932 mmMax: 9.121 mm Max: 9.716 mm Max: 5.257 mm Max: 0.863 mm

Max: 2.808 mmMax: 8.543 mm Max: 8.828 mm Max: 4.538 mmMax: 2.674 mmMax: 7.935 mm Max: 7.913 mm Max: 3.804 mmMax: 2.529 mm Max: 7.300 mm Max: 6.975 mm Max: 3.058 mmMax: 2.375 mm Max: 6.640 mm Max: 6.016 mm Max: 2.302 mm

Max: 2.211 mm Max: 5.958 mm Max: 5.040 mm Max: 1.539 mmMax: 2.039 mm Max: 5.257 mm Max: 4.049 mm Max: 0.771 mmMax: 1.859 mm Max: 4.538 mm Max: 3.047 mmMax: 1.671 mm

EJEMPLO DE APLICACIÓNDEFORMACIONES – CON RIOSTRA CENTRAL

� RIOSTRA: 0.30x1.35 mts

� MAXIMOS DESPLAZAMIENTOS

� 9.049 mm

� 10.460 mm

� 11.138 mm (VIGA CENTRAL)

� 10.460 mm

� 9.049 mm

Max: 2.511 mm Max: 4.130 mm Max: 5.081 mmMax: 1.207 mm Max: 3.126 mm Max: 4.684 mm Max: 5.524 mmMax: 1.806 mm Max: 3.731 mm Max: 5.224 mm Max: 5.949 mmMax: 0.536 mm Max: 2.399 mm Max: 4.326 mm Max: 5.748 mm Max: 6.353 mmMax: 1.070 mm Max: 2.986 mm Max: 4.908 mm Max: 6.255 mm Max: 6.736 mmMax: 1.601 mm Max: 3.563 mm Max: 5.475 mm Max: 6.741 mm Max: 7.096 mmMax: 2.127 mm

Max: 4.130 mm Max: 6.027 mm Max: 7.206 mm Max: 7.430 mmMax: 2.646 mm

Max: 4.684 mm Max: 6.560 mm Max: 7.648 mm Max: 7.738 mmMax: 3.157 mm

Max: 5.224 mm Max: 7.074 mm Max: 8.065 mm Max: 8.017 mmMax: 3.657 mm

Max: 5.748 mm Max: 7.566 mm Max: 8.455 mm Max: 8.267 mmMax: 4.146 mmMax: 6.255 mm Max: 8.034 mm Max: 8.816 mm Max: 8.485 mmMax: 4.621 mmMax: 6.741 mm Max: 8.478 mm Max: 9.147 mm Max: 8.670 mmMax: 5.081 mmMax: 7.206 mm Max: 8.894 mm Max: 9.445 mm Max: 8.820 mmMax: 5.524 mmMax: 7.648 mm Max: 9.281 mm Max: 9.709 mm Max: 8.935 mmMax: 5.949 mmMax: 8.065 mm Max: 9.637 mm Max: 9.937 mm Max: 9.011 mmMax: 6.353 mmMax: 8.455 mm Max: 9.960 mm Max: 10.127 mm Max: 9.049 mmMax: 6.736 mmMax: 8.816 mm Max: 10.249 mm Max: 10.278 mm

Max: 9.049 mmMax: 7.096 mm

Max: 9.147 mm Max: 10.501 mm Max: 10.387 mmMax: 9.034 mm

Max: 7.430 mmMax: 9.445 mm Max: 10.715 mm Max: 10.444 mm

Max: 8.979 mmMax: 7.738 mm

Max: 9.709 mm Max: 10.888 mm Max: 10.460 mmMax: 8.887 mm

Max: 8.017 mm Max: 9.937 mm Max: 11.020 mmMax: 10.460 mm Max: 8.759 mm

Max: 8.267 mm Max: 10.127 mm Max: 11.085 mmMax: 10.434 mm Max: 8.597 mm

Max: 8.485 mm Max: 10.278 mm Max: 11.131 mmMax: 10.364 mm Max: 8.402 mm

Max: 8.670 mm Max: 10.387 mm Max: 11.138 mmMax: 10.253 mm Max: 8.176 mm

Max: 8.820 mm Max: 10.444 mmMax: 11.134 mm Max: 10.099 mm Max: 7.921 mm

Max: 8.935 mm Max: 10.460 mm Max: 11.094 mm Max: 9.896 mm Max: 7.637 mm

Max: 9.011 mm Max: 10.460 mm Max: 11.006 mm Max: 9.653 mm Max: 7.327 mm

Max: 9.049 mm Max: 10.434 mm Max: 10.871 mm Max: 9.371 mm Max: 6.992 mmMax: 9.049 mm Max: 10.364 mm Max: 10.669 mm Max: 9.053 mmMax: 9.034 mm Max: 10.253 mm Max: 10.420 mm Max: 8.700 mm

Max: 8.979 mm Max: 10.099 mm Max: 10.125 mm Max: 8.315 mmMax: 8.887 mm Max: 9.896 mm Max: 9.789 mm Max: 7.900 mmMax: 8.759 mm Max: 9.653 mm Max: 9.413 mm Max: 7.455 mmMax: 8.597 mm Max: 9.371 mm Max: 9.000 mm Max: 6.984 mmMax: 8.402 mm Max: 9.053 mm Max: 8.553 mm Max: 6.489 mmMax: 8.176 mm Max: 8.700 mm Max: 8.074 mm Max: 5.971 mmMax: 7.921 mm Max: 8.315 mm Max: 7.565 mm Max: 5.432 mmMax: 7.637 mm Max: 7.900 mm Max: 7.029 mm Max: 4.876 mmMax: 7.327 mm Max: 7.455 mm Max: 6.468 mm Max: 4.302 mmMax: 6.992 mm Max: 6.984 mm Max: 5.885 mm Max: 3.714 mmMax: 6.633 mm Max: 6.489 mm Max: 5.281 mmMax: 6.252 mm Max: 5.971 mm Max: 4.660 mmMax: 5.850 mm Max: 5.432 mm Max: 4.023 mmMax: 5.430 mm Max: 4.876 mm Max: 3.373 mmMax: 4.992 mm Max: 4.302 mm Max: 2.712 mmMax: 4.538 mm Max: 3.714 mm Max: 2.041 mmMax: 4.070 mm Max: 3.114 mm Max: 1.365 mmMax: 3.589 mm Max: 2.504 mm Max: 0.683 mmMax: 3.097 mm Max: 1.885 mmMax: 2.595 mm Max: 1.260 mmMax: 2.086 mm Max: 0.631 mmMax: 1.570 mm

EJEMPLO DE APLICACIÓNMOMENTOS – SIN RIOSTRA CENTRAL

Mmax = 110.5 tm

Max: -22.1 MTon-m Max: -28.8 MTon-mMax: -1.3 MTon-m Max: -12.7 MTon-m Max: -26.0 MTon-m Max: -32.0 MTon-m Max: -14.3 MTon-mMax: -2.5 MTon-m Max: -15.9 MTon-mMax: -29.9 MTon-m Max: -35.2 MTon-m

Max: -15.1 MTon-mMax: -3.8 MTon-mMax: -19.1 MTon-m

Max: -33.8 MTon-m Max: -38.5 MTon-mMax: -15.7 MTon-mMax: -5.0 MTon-m

Max: -22.3 MTon-mMax: -37.9 MTon-m Max: -41.7 MTon-m

Max: -16.4 MTon-mMax: -6.2 MTon-mMax: -25.5 MTon-m

Max: -42.0 MTon-m Max: -45.0 MTon-mMax: -16.9 MTon-mMax: -7.4 MTon-m

Max: -28.8 MTon-mMax: -46.3 MTon-m Max: -48.2 MTon-m

Max: -17.3 MTon-mMax: -8.5 MTon-mMax: -32.0 MTon-m

Max: -50.7 MTon-m Max: -51.4 MTon-mMax: -17.7 MTon-mMax: -9.6 MTon-m

Max: -35.2 MTon-mMax: -55.2 MTon-m Max: -54.7 MTon-m

Max: -18.0 MTon-mMax: -10.7 MTon-mMax: -38.5 MTon-m

Max: -59.9 MTon-m Max: -57.9 MTon-mMax: -18.2 MTon-mMax: -11.7 MTon-m

Max: -41.7 MTon-mMax: -64.7 MTon-m Max: -61.1 MTon-m

Max: -18.3 MTon-mMax: -12.6 MTon-mMax: -45.0 MTon-m

Max: -69.7 MTon-m Max: -64.3 MTon-m

Max: -18.3 MTon-mMax: -13.5 MTon-mMax: -48.2 MTon-m

Max: -74.9 MTon-m Max: -67.5 MTon-m

Max: -18.3 MTon-mMax: -14.3 MTon-m

Max: -51.4 MTon-mMax: -80.2 MTon-m Max: -70.6 MTon-m

Max: -18.3 MTon-mMax: -15.1 MTon-m

Max: -54.7 MTon-mMax: -85.8 MTon-m Max: -73.7 MTon-m

Max: -18.3 MTon-mMax: -15.7 MTon-m

Max: -57.9 MTon-mMax: -91.6 MTon-m Max: -76.8 MTon-m

Max: -18.3 MTon-mMax: -16.4 MTon-m

Max: -61.1 MTon-mMax: -97.7 MTon-m

Max: -76.8 MTon-m

Max: -18.2 MTon-mMax: -16.9 MTon-m

Max: -64.3 MTon-m

Max: -104.0 MTon-m

Max: -76.3 MTon-m

Max: -18.0 MTon-mMax: -17.3 MTon-m

Max: -67.5 MTon-m

Max: -110.5 MTon-m

Max: -75.8 MTon-m

Max: -17.7 MTon-mMax: -17.7 MTon-m

Max: -70.6 MTon-mMax: -110.5 MTon-m

Max: -75.2 MTon-m

Max: -17.4 MTon-mMax: -18.0 MTon-m

Max: -73.7 MTon-mMax: -109.0 MTon-mMax: -74.6 MTon-m

Max: -17.2 MTon-mMax: -18.2 MTon-m

Max: -76.8 MTon-mMax: -107.7 MTon-mMax: -74.0 MTon-m

Max: -16.9 MTon-mMax: -18.3 MTon-m

Max: -76.8 MTon-mMax: -106.8 MTon-m

Max: -73.3 MTon-m

Max: -16.6 MTon-mMax: -18.3 MTon-m

Max: -76.3 MTon-mMax: -106.0 MTon-m

Max: -70.0 MTon-m

Max: -16.2 MTon-mMax: -18.3 MTon-m

Max: -75.8 MTon-mMax: -105.6 MTon-m

Max: -66.6 MTon-m

Max: -15.7 MTon-m

Max: -18.3 MTon-mMax: -75.2 MTon-m

Max: -105.4 MTon-mMax: -63.2 MTon-m

Max: -15.1 MTon-mMax: -18.3 MTon-m

Max: -74.6 MTon-mMax: -98.7 MTon-m

Max: -59.8 MTon-m

Max: -14.5 MTon-mMax: -18.3 MTon-m

Max: -74.0 MTon-mMax: -92.3 MTon-m

Max: -56.4 MTon-mMax: -13.8 MTon-m

Max: -18.2 MTon-m

Max: -73.3 MTon-m Max: -86.0 MTon-mMax: -52.9 MTon-m

Max: -13.0 MTon-mMax: -18.0 MTon-m

Max: -70.0 MTon-m Max: -80.0 MTon-mMax: -49.4 MTon-m

Max: -12.1 MTon-mMax: -17.7 MTon-m

Max: -66.6 MTon-m Max: -74.3 MTon-mMax: -45.9 MTon-m

Max: -11.2 MTon-mMax: -17.4 MTon-m

Max: -63.2 MTon-m Max: -68.7 MTon-mMax: -42.4 MTon-m

Max: -10.3 MTon-mMax: -17.2 MTon-m

Max: -59.8 MTon-m Max: -63.3 MTon-mMax: -38.9 MTon-m

Max: -9.3 MTon-mMax: -16.9 MTon-m

Max: -56.4 MTon-m Max: -58.1 MTon-mMax: -35.3 MTon-m

Max: -8.2 MTon-mMax: -16.6 MTon-m

Max: -52.9 MTon-m Max: -53.0 MTon-mMax: -31.8 MTon-m

Max: -7.1 MTon-mMax: -16.2 MTon-m

Max: -49.4 MTon-m Max: -48.1 MTon-mMax: -28.3 MTon-m

Max: -6.0 MTon-mMax: -15.7 MTon-m

Max: -45.9 MTon-m Max: -43.3 MTon-m Max: -24.7 MTon-mMax: -4.8 MTon-m

Max: -15.1 MTon-mMax: -42.4 MTon-m Max: -38.7 MTon-m Max: -21.2 MTon-m Max: -3.6 MTon-m

Max: -14.5 MTon-mMax: -38.9 MTon-m Max: -34.1 MTon-m Max: -17.7 MTon-mMax: -13.8 MTon-mMax: -35.3 MTon-m Max: -29.6 MTon-m Max: -14.1 MTon-mMax: -13.0 MTon-mMax: -31.8 MTon-m Max: -25.3 MTon-m Max: -10.6 MTon-m

Max: -12.1 MTon-mMax: -28.3 MTon-m Max: -21.0 MTon-m Max: -7.1 MTon-m

Max: -11.2 MTon-m Max: -24.7 MTon-m Max: -16.7 MTon-m Max: -3.5 MTon-mMax: -10.3 MTon-m Max: -21.2 MTon-m Max: -12.5 MTon-mMax: -9.3 MTon-m Max: -17.7 MTon-m Max: -8.3 MTon-m

Max: -8.2 MTon-m Max: -14.1 MTon-m Max: -4.1 MTon-mMax: -7.1 MTon-m Max: -10.6 MTon-mMax: -6.0 MTon-m Max: -7.1 MTon-mMax: -4.8 MTon-m Max: -3.5 MTon-mMax: -3.6 MTon-m

EJEMPLO DE APLICACIÓNMOMENTOS – CON RIOSTRA CENTRAL

Mmax = 72.0tm

Max: -2.6 MTon-m Max: -10.2 MTon-m Max: -16.9 MTon-mMax: -5.1 MTon-m Max: -12.8 MTon-m Max: -19.3 MTon-mMax: -7.7 MTon-m Max: -15.3 MTon-m Max: -21.7 MTon-mMax: -2.6 MTon-m Max: -10.3 MTon-m Max: -17.9 MTon-m Max: -24.1 MTon-mMax: -5.1 MTon-m Max: -12.9 MTon-m Max: -20.5 MTon-m Max: -26.4 MTon-mMax: -7.7 MTon-m Max: -15.5 MTon-m Max: -23.0 MTon-m Max: -28.8 MTon-mMax: -10.2 MTon-m Max: -18.0 MTon-m Max: -25.6 MTon-m Max: -31.2 MTon-mMax: -12.8 MTon-m Max: -20.6 MTon-m Max: -28.2 MTon-m Max: -33.5 MTon-mMax: -7.3 MTon-m Max: -15.3 MTon-m Max: -23.2 MTon-m Max: -30.8 MTon-m Max: -35.8 MTon-mMax: -9.7 MTon-m Max: -17.9 MTon-m Max: -25.8 MTon-m Max: -33.4 MTon-m Max: -38.2 MTon-mMax: -12.1 MTon-m Max: -20.5 MTon-m Max: -28.4 MTon-m Max: -36.0 MTon-m Max: -40.5 MTon-mMax: -14.5 MTon-m Max: -23.0 MTon-m Max: -31.1 MTon-m Max: -38.6 MTon-m Max: -42.8 MTon-mMax: -16.9 MTon-m Max: -25.6 MTon-m Max: -33.7 MTon-m Max: -41.2 MTon-m Max: -45.1 MTon-mMax: -19.3 MTon-m Max: -28.2 MTon-m Max: -36.3 MTon-m Max: -43.8 MTon-m Max: -47.3 MTon-mMax: -21.7 MTon-m Max: -30.8 MTon-m Max: -39.0 MTon-m Max: -46.4 MTon-m Max: -49.6 MTon-mMax: -24.1 MTon-m Max: -33.4 MTon-m Max: -41.6 MTon-m Max: -49.0 MTon-m Max: -51.8 MTon-mMax: -26.4 MTon-m Max: -36.0 MTon-m Max: -44.3 MTon-m Max: -51.6 MTon-m Max: -54.1 MTon-mMax: -28.8 MTon-m Max: -38.6 MTon-m Max: -47.0 MTon-m Max: -54.3 MTon-m Max: -56.3 MTon-mMax: -31.2 MTon-m Max: -41.2 MTon-m Max: -49.7 MTon-m Max: -56.9 MTon-m Max: -58.7 MTon-mMax: -33.5 MTon-m Max: -43.8 MTon-m Max: -52.5 MTon-m Max: -59.5 MTon-mMax: -58.7 MTon-mMax: -35.8 MTon-m Max: -46.4 MTon-m Max: -55.2 MTon-m Max: -62.1 MTon-mMax: -56.3 MTon-m

Max: -38.2 MTon-m Max: -49.0 MTon-m Max: -58.0 MTon-mMax: -62.1 MTon-m Max: -54.0 MTon-m

Max: -40.5 MTon-m Max: -51.6 MTon-m Max: -60.8 MTon-mMax: -61.3 MTon-m Max: -51.6 MTon-m

Max: -42.8 MTon-m Max: -54.3 MTon-m Max: -63.6 MTon-mMax: -61.2 MTon-m Max: -49.2 MTon-m

Max: -45.1 MTon-m Max: -56.9 MTon-mMax: -63.6 MTon-m Max: -61.0 MTon-m Max: -46.8 MTon-mMax: -47.3 MTon-m Max: -59.5 MTon-m Max: -60.9 MTon-m

Max: -60.9 MTon-m Max: -44.7 MTon-m

Max: -49.6 MTon-m Max: -62.1 MTon-m Max: -63.6 MTon-mMax: -60.7 MTon-m Max: -42.5 MTon-m

Max: -51.8 MTon-mMax: -62.1 MTon-mMax: -66.3 MTon-m

Max: -60.5 MTon-mMax: -40.4 MTon-m

Max: -54.1 MTon-mMax: -61.3 MTon-mMax: -69.1 MTon-m

Max: -57.8 MTon-m Max: -38.2 MTon-m

Max: -56.3 MTon-mMax: -61.2 MTon-m

Max: -72.0 MTon-mMax: -55.0 MTon-m Max: -36.0 MTon-m

Max: -58.7 MTon-mMax: -61.0 MTon-m Max: -72.0 MTon-m Max: -52.2 MTon-m Max: -33.8 MTon-m

Max: -58.7 MTon-m Max: -60.9 MTon-m Max: -68.1 MTon-m Max: -49.4 MTon-m Max: -31.6 MTon-mMax: -56.3 MTon-m Max: -60.7 MTon-m Max: -64.3 MTon-m Max: -46.6 MTon-m Max: -29.4 MTon-mMax: -54.0 MTon-m Max: -60.5 MTon-m Max: -60.5 MTon-m Max: -43.8 MTon-m Max: -27.2 MTon-mMax: -51.6 MTon-m Max: -57.8 MTon-m Max: -56.8 MTon-m Max: -40.9 MTon-m Max: -24.9 MTon-mMax: -49.2 MTon-m Max: -55.0 MTon-m Max: -53.2 MTon-m Max: -38.1 MTon-m Max: -22.7 MTon-mMax: -46.8 MTon-m Max: -52.2 MTon-m Max: -49.6 MTon-m Max: -35.2 MTon-m Max: -20.5 MTon-mMax: -44.7 MTon-m Max: -49.4 MTon-m Max: -46.1 MTon-m Max: -32.3 MTon-m Max: -18.2 MTon-mMax: -42.5 MTon-m Max: -46.6 MTon-m Max: -42.6 MTon-m Max: -29.4 MTon-m Max: -15.9 MTon-mMax: -40.4 MTon-m Max: -43.8 MTon-m Max: -39.1 MTon-m Max: -26.5 MTon-m Max: -13.7 MTon-mMax: -38.2 MTon-m Max: -40.9 MTon-m Max: -35.7 MTon-m Max: -23.5 MTon-m Max: -11.4 MTon-mMax: -36.0 MTon-m Max: -38.1 MTon-m Max: -32.3 MTon-m Max: -20.6 MTon-m Max: -9.1 MTon-mMax: -33.8 MTon-m Max: -35.2 MTon-m Max: -29.0 MTon-m Max: -17.7 MTon-m Max: -6.9 MTon-mMax: -31.6 MTon-m Max: -32.3 MTon-m Max: -25.7 MTon-m Max: -14.7 MTon-m Max: -4.6 MTon-mMax: -29.4 MTon-m Max: -29.4 MTon-m Max: -22.4 MTon-m Max: -11.8 MTon-m Max: -2.3 MTon-mMax: -27.2 MTon-m Max: -26.5 MTon-m Max: -19.2 MTon-m Max: -8.9 MTon-mMax: -24.9 MTon-m Max: -23.5 MTon-m Max: -16.0 MTon-m Max: -5.9 MTon-mMax: -22.7 MTon-m Max: -20.6 MTon-m Max: -12.7 MTon-m Max: -3.0 MTon-mMax: -20.5 MTon-m Max: -17.7 MTon-m Max: -9.5 MTon-mMax: -18.2 MTon-m Max: -14.7 MTon-m Max: -6.4 MTon-m

EJEMPLO DE APLICACIÓNCOMPARACIÓN MODELOS DE CALCULO

� Solicitaciones de Flexión Máximas:� Modelo Emparrillado – Sin Riostra: 110.5 tm� Modelo Emparrillado – Con Riostra: 72.0 tm� Modelo Distribución Uniforme: 70.0 tm� Diferencia - Sin Riostra: +57.8%

� Esfuerzos de Pretensado:� Modelo Emparrillado – Sin Riostra: Noo = 278.0 tn� Modelo Emparrillado – Con Riostra: Noo = 257.9 tn� Modelo Distribución Uniforme: Noo = 257.4 tn� Diferencia – Sin Riostra: +8.0%

CASO: PUENTE DONDE EL COEFICIENTE L/2B ES REDUCIDO

CASO: PUENTE DONDE EL COEFICIENTE L/2B ES REDUCIDO

� Características:� Luz Calculo: 13.40 mts

� Categoría: A30

� Cantidad Aplanadoras: 2

� Calidad Materiales:

� Hormigón “In Situ”: H-21� Hormigón Vigas Prefabricadas: H-30

� L/2B = 13.40 / 8.80 mts = 1.52 < 2.00

CASO: PUENTE DONDE EL COEFICIENTE L/2B ES REDUCIDO

-21.8 MTon/m

-21.8 MTon/m

-21.8 MTon/m

-21.8 MTon/m

-21.8 MTon/m

-13.9 MTon/m

-13.9 MTon/m

-13.9 MTon/m

13.40m

11.43m

2.20m

2.20m

2.20m

0.50m

CASO: PUENTE DONDE EL COEFICIENTE L/2B ES REDUCIDO

� CON RIOSTRA CENTRAL (0.25x0.77m)� SIN RIOSTRA CENTRAL

X

CASO: PUENTE DONDE EL COEFICIENTE L/2B ES REDUCIDO

� CON RIOSTRA CENTRAL (0.25x0.77m)� SIN RIOSTRA CENTRAL

Max: 0.016 mmMax: 0.033 mmMax: 0.049 mm

Max: 0.445 mmMax: 0.064 mmMax: 0.885 mmMax: 0.080 mmMax: 1.315 mmMax: 0.094 mmMax: 0.755 mmMax: 1.730 mmMax: 0.108 mm

Max: 1.502 mmMax: 2.126 mm

Max: 0.121 mmMax: 2.232 mm

Max: 2.496 mmMax: 0.673 mm Max: 0.133 mm

Max: 2.938 mmMax: 2.837 mmMax: 1.338 mm Max: 0.144 mm

Max: 3.612 mmMax: 3.144 mmMax: 1.990 mmMax: 0.152 mm

Max: 4.244 mm

Max: 0.183 mm

Max: 3.411 mmMax: 2.620 mmMax: 0.159 mm

Max: 4.828 mm

Max: 0.363 mm

Max: 3.634 mmMax: 3.223 mmMax: 0.163 mm

Max: 5.354 mm

Max: 0.539 mm

Max: 3.809 mmMax: 3.790 mm

Max: 0.165 mm

Max: 5.814 mm

Max: 0.707 mm

Max: 3.931 mmMax: 4.314 mm

Max: 0.165 mm

Max: 6.200 mm

Max: 0.867 mm

Max: 3.990 mmMax: 4.788 mm

Max: 0.164 mm

Max: 6.504 mm

Max: 1.016 mm

Max: 3.998 mmMax: 5.205 mm

Max: 0.161 mm

Max: 6.716 mm

Max: 1.151 mmMax: 3.993 mm

Max: 5.556 mm

Max: 0.156 mm

Max: 6.820 mm

Max: 1.271 mm Max: 3.939 mm

Max: 5.834 mm

Max: 0.148 mm

Max: 6.835 mm

Max: 1.374 mm Max: 3.832 mm

Max: 6.030 mm

Max: 0.137 mm

Max: 6.826 mmMax: 1.459 mm Max: 3.671 mm

Max: 6.129 mm

Max: 0.124 mm

Max: 6.736 mmMax: 1.523 mm Max: 3.457 mm

Max: 6.146 mm

Max: 0.109 mm

Max: 6.553 mmMax: 1.565 mm Max: 3.190 mm

Max: 6.140 mm

Max: 0.092 mm

Max: 6.279 mmMax: 1.584 mm Max: 2.877 mm

Max: 6.065 mm

Max: 0.075 mm

Max: 5.915 mm

Max: 1.585 mm Max: 2.525 mm

Max: 5.905 mm

Max: 0.056 mm

Max: 5.457 mm

Max: 1.580 mmMax: 2.139 mm

Max: 5.663 mm

Max: 0.036 mm

Max: 4.921 mm

Max: 1.555 mmMax: 1.726 mm

Max: 5.339 mm

Max: 0.016 mm

Max: 4.318 mmMax: 1.508 mm Max: 1.289 mm

Max: 4.927 mmMax: 3.658 mmMax: 1.440 mm Max: 0.837 mm

Max: 4.444 mmMax: 2.949 mmMax: 1.353 mm Max: 0.374 mm

Max: 3.900 mmMax: 2.204 mmMax: 1.247 mm

Max: 3.303 mmMax: 1.430 mmMax: 1.124 mmMax: 2.663 mmMax: 0.639 mmMax: 0.986 mmMax: 1.990 mmMax: 0.836 mmMax: 1.291 mmMax: 0.674 mmMax: 0.577 mm

Max: 0.504 mmMax: 0.327 mmMax: 0.146 mm

MAXIMOS

DESPLAZAMIENTOS:

6.835mm (VIGA CENTRAL)

Max: 0.004 mm

Max: 0.007 mm

Max: 0.011 mmMax: 0.445 mm Max: 0.014 mmMax: 0.886 mm Max: 0.016 mmMax: 1.317 mm Max: 0.018 mmMax: 0.727 mmMax: 1.732 mm Max: 0.019 mm

Max: 1.447 mmMax: 2.129 mm Max: 0.020 mm

Max: 2.151 mmMax: 2.500 mm

Max: 0.646 mmMax: 0.020 mm

Max: 2.831 mmMax: 2.842 mm

Max: 1.285 mm

Max: 0.019 mm

Max: 3.480 mm Max: 3.149 mmMax: 1.910 mm

Max: 0.019 mm

Max: 4.090 mm

Max: 0.216 mm

Max: 3.418 mmMax: 2.516 mm

Max: 0.017 mm

Max: 4.653 mm

Max: 0.430 mm

Max: 3.642 mmMax: 3.094 mm

Max: 0.016 mm

Max: 5.160 mm

Max: 0.638 mm

Max: 3.818 mmMax: 3.637 mm

Max: 0.014 mm

Max: 5.604 mm

Max: 0.839 mm

Max: 3.940 mmMax: 4.140 mm

Max: 0.012 mm

Max: 5.977 mm

Max: 1.029 mm

Max: 3.999 mmMax: 4.595 mm

Max: 0.009 mm

Max: 6.270 mm

Max: 1.206 mmMax: 4.008 mm

Max: 4.994 mm

Max: 0.006 mm

Max: 6.476 mm

Max: 1.367 mm Max: 4.002 mm

Max: 5.331 mm

Max: 0.003 mm

Max: 6.576 mm

Max: 1.511 mm Max: 3.948 mm

Max: 5.597 mm

Max: 0.001 mm

Max: 6.591 mm

Max: 1.635 mm Max: 3.839 mm

Max: 5.786 mm

Max: 0.001 mm

Max: 6.583 mmMax: 1.737 mm Max: 3.677 mm

Max: 5.880 mm

Max: 0.002 mm

Max: 6.498 mmMax: 1.815 mm Max: 3.463 mm

Max: 5.898 mm

Max: 0.002 mm

Max: 6.324 mmMax: 1.867 mm Max: 3.194 mm

Max: 5.893 mm

Max: 0.002 mm

Max: 6.061 mmMax: 1.890 mm Max: 2.881 mm

Max: 5.824 mm

Max: 0.001 mm

Max: 5.711 mmMax: 1.891 mm Max: 2.528 mm

Max: 5.675 mm

Max: 0.001 mm

Max: 5.270 mm

Max: 1.885 mmMax: 2.141 mm

Max: 5.446 mm

Max: 0.001 mm

Max: 4.753 mmMax: 1.852 mm Max: 1.727 mm

Max: 5.137 mm

Max: 0.001 mm

Max: 4.171 mmMax: 1.794 mm Max: 1.290 mm

Max: 4.743 mm Max: 3.533 mmMax: 1.711 mm Max: 0.837 mm

Max: 4.280 mm Max: 2.849 mmMax: 1.605 mm Max: 0.374 mm

Max: 3.757 mm Max: 2.129 mmMax: 1.477 mm

Max: 3.183 mm Max: 1.382 mmMax: 1.330 mmMax: 2.567 mm Max: 0.618 mmMax: 1.166 mmMax: 1.918 mmMax: 0.987 mmMax: 1.245 mmMax: 0.796 mm Max: 0.556 mm

Max: 0.595 mmMax: 0.386 mmMax: 0.172 mm

MAXIMOS

DESPLAZAMIENTOS:

6.591mm (VIGA CENTRAL)

COEFICIENTE L/2B ES REDUCIDO –SIN RIOSTRA

� MAXIMOS DESPLAZAMIENTOS

� 1.585mm

� 6.146mm

� 6.835mm (VIGA CENTRAL)

� 3.998mm

� 0.165mm

Max: 0.016 mmMax: 0.033 mmMax: 0.049 mm

Max: 0.445 mm Max: 0.064 mmMax: 0.885 mm Max: 0.080 mmMax: 1.315 mm Max: 0.094 mmMax: 0.755 mmMax: 1.730 mm Max: 0.108 mm

Max: 1.502 mmMax: 2.126 mm

Max: 0.121 mmMax: 2.232 mm

Max: 2.496 mmMax: 0.673 mm Max: 0.133 mm

Max: 2.938 mm Max: 2.837 mmMax: 1.338 mm Max: 0.144 mm

Max: 3.612 mm Max: 3.144 mmMax: 1.990 mmMax: 0.152 mm

Max: 4.244 mm

Max: 0.183 mm

Max: 3.411 mmMax: 2.620 mmMax: 0.159 mm

Max: 4.828 mm

Max: 0.363 mm

Max: 3.634 mmMax: 3.223 mmMax: 0.163 mm

Max: 5.354 mm

Max: 0.539 mm

Max: 3.809 mmMax: 3.790 mm

Max: 0.165 mm

Max: 5.814 mm

Max: 0.707 mm

Max: 3.931 mmMax: 4.314 mm

Max: 0.165 mm

Max: 6.200 mm

Max: 0.867 mm

Max: 3.990 mmMax: 4.788 mm

Max: 0.164 mm

Max: 6.504 mm

Max: 1.016 mm

Max: 3.998 mmMax: 5.205 mm

Max: 0.161 mm

Max: 6.716 mm

Max: 1.151 mmMax: 3.993 mm

Max: 5.556 mm

Max: 0.156 mm

Max: 6.820 mm

Max: 1.271 mmMax: 3.939 mm

Max: 5.834 mm

Max: 0.148 mm

Max: 6.835 mm

Max: 1.374 mm Max: 3.832 mm

Max: 6.030 mm

Max: 0.137 mm

Max: 6.826 mmMax: 1.459 mm Max: 3.671 mm

Max: 6.129 mm

Max: 0.124 mm

Max: 6.736 mmMax: 1.523 mm Max: 3.457 mm

Max: 6.146 mm

Max: 0.109 mm

Max: 6.553 mmMax: 1.565 mm Max: 3.190 mm

Max: 6.140 mm

Max: 0.092 mm

Max: 6.279 mmMax: 1.584 mm Max: 2.877 mm

Max: 6.065 mm

Max: 0.075 mm

Max: 5.915 mm

Max: 1.585 mm Max: 2.525 mm

Max: 5.905 mm

Max: 0.056 mm

Max: 5.457 mm

Max: 1.580 mmMax: 2.139 mm

Max: 5.663 mm

Max: 0.036 mm

Max: 4.921 mm

Max: 1.555 mmMax: 1.726 mm

Max: 5.339 mm

Max: 0.016 mm

Max: 4.318 mmMax: 1.508 mm Max: 1.289 mm

Max: 4.927 mm Max: 3.658 mmMax: 1.440 mm Max: 0.837 mm

Max: 4.444 mm Max: 2.949 mmMax: 1.353 mm Max: 0.374 mm

Max: 3.900 mm Max: 2.204 mmMax: 1.247 mm

Max: 3.303 mm Max: 1.430 mmMax: 1.124 mmMax: 2.663 mm Max: 0.639 mmMax: 0.986 mmMax: 1.990 mmMax: 0.836 mmMax: 1.291 mmMax: 0.674 mm Max: 0.577 mm

Max: 0.504 mmMax: 0.327 mmMax: 0.146 mm

COEFICIENTE L/2B ES REDUCIDO –CON RIOSTRA

� MAXIMOS DESPLAZAMIENTOS

� 1.891mm

� 5.898mm

� 6.591mm (VIGA CENTRAL)

� 4.008mm

� 0.019mm

Max: 0.004 mm

Max: 0.007 mm

Max: 0.011 mmMax: 0.445 mm Max: 0.014 mmMax: 0.886 mm Max: 0.016 mm

Max: 1.317 mm Max: 0.018 mmMax: 0.727 mmMax: 1.732 mm Max: 0.019 mm

Max: 1.447 mmMax: 2.129 mm Max: 0.020 mm

Max: 2.151 mmMax: 2.500 mm

Max: 0.646 mmMax: 0.020 mm

Max: 2.831 mmMax: 2.842 mm

Max: 1.285 mm

Max: 0.019 mm

Max: 3.480 mm Max: 3.149 mmMax: 1.910 mm

Max: 0.019 mm

Max: 4.090 mm

Max: 0.216 mm

Max: 3.418 mmMax: 2.516 mm

Max: 0.017 mm

Max: 4.653 mm

Max: 0.430 mm

Max: 3.642 mmMax: 3.094 mm

Max: 0.016 mm

Max: 5.160 mm

Max: 0.638 mm

Max: 3.818 mmMax: 3.637 mm

Max: 0.014 mm

Max: 5.604 mm

Max: 0.839 mm

Max: 3.940 mmMax: 4.140 mm

Max: 0.012 mm

Max: 5.977 mm

Max: 1.029 mm

Max: 3.999 mmMax: 4.595 mm

Max: 0.009 mm

Max: 6.270 mm

Max: 1.206 mmMax: 4.008 mm

Max: 4.994 mm

Max: 0.006 mm

Max: 6.476 mm

Max: 1.367 mm Max: 4.002 mm

Max: 5.331 mm

Max: 0.003 mm

Max: 6.576 mm

Max: 1.511 mm Max: 3.948 mm

Max: 5.597 mm

Max: 0.001 mm

Max: 6.591 mm

Max: 1.635 mm Max: 3.839 mm

Max: 5.786 mm

Max: 0.001 mm

Max: 6.583 mmMax: 1.737 mm Max: 3.677 mm

Max: 5.880 mm

Max: 0.002 mm

Max: 6.498 mmMax: 1.815 mm Max: 3.463 mm

Max: 5.898 mm

Max: 0.002 mm

Max: 6.324 mmMax: 1.867 mm Max: 3.194 mm

Max: 5.893 mm

Max: 0.002 mm

Max: 6.061 mmMax: 1.890 mm Max: 2.881 mm

Max: 5.824 mm

Max: 0.001 mm

Max: 5.711 mmMax: 1.891 mm Max: 2.528 mm

Max: 5.675 mm

Max: 0.001 mm

Max: 5.270 mm

Max: 1.885 mmMax: 2.141 mm

Max: 5.446 mm

Max: 0.001 mm

Max: 4.753 mmMax: 1.852 mm Max: 1.727 mm

Max: 5.137 mm

Max: 0.001 mm

Max: 4.171 mmMax: 1.794 mm Max: 1.290 mm

Max: 4.743 mm Max: 3.533 mmMax: 1.711 mm Max: 0.837 mm

Max: 4.280 mm Max: 2.849 mmMax: 1.605 mm Max: 0.374 mm

Max: 3.757 mm Max: 2.129 mmMax: 1.477 mm

Max: 3.183 mm Max: 1.382 mmMax: 1.330 mmMax: 2.567 mm Max: 0.618 mmMax: 1.166 mmMax: 1.918 mmMax: 0.987 mmMax: 1.245 mm

Max: 0.796 mm Max: 0.556 mmMax: 0.595 mmMax: 0.386 mmMax: 0.172 mm

Max: 0.1 MTon-mMax: 0.2 MTon-mMax: 0.3 MTon-m

Max: -3.9 MTon-m Max: 0.4 MTon-mMax: -7.8 MTon-m Max: 0.5 MTon-mMax: -11.7 MTon-m Max: 0.6 MTon-mMax: -6.4 MTon-mMax: -15.5 MTon-m

Max: 0.8 MTon-mMax: -12.8 MTon-m

Max: -19.4 MTon-mMax: 0.9 MTon-m

Max: -19.2 MTon-mMax: -23.2 MTon-m

Max: -5.5 MTon-m Max: 1.1 MTon-m

Max: -25.6 MTon-m Max: -27.0 MTon-mMax: -11.0 MTon-m Max: 1.3 MTon-m

Max: -32.0 MTon-m Max: -30.7 MTon-mMax: -16.5 MTon-m

Max: 1.6 MTon-m

Max: -38.5 MTon-m

Max: -1.8 MTon-m

Max: -34.4 MTon-mMax: -22.1 MTon-m

Max: 1.9 MTon-m

Max: -45.0 MTon-m

Max: -3.6 MTon-m

Max: -38.1 MTon-mMax: -27.8 MTon-m

Max: 1.9 MTon-m

Max: -51.6 MTon-m

Max: -5.4 MTon-m

Max: -41.7 MTon-mMax: -33.5 MTon-m

Max: 1.8 MTon-m

Max: -58.2 MTon-m

Max: -7.1 MTon-m

Max: -45.2 MTon-mMax: -39.3 MTon-m

Max: 1.9 MTon-m

Max: -64.8 MTon-m

Max: -8.7 MTon-m

Max: -45.2 MTon-mMax: -45.3 MTon-m

Max: 1.9 MTon-m

Max: -71.5 MTon-m

Max: -10.3 MTon-m

Max: -44.5 MTon-m

Max: -51.3 MTon-m

Max: 2.0 MTon-m

Max: -78.3 MTon-m

Max: -11.8 MTon-m

Max: -43.6 MTon-m

Max: -57.5 MTon-m

Max: 2.1 MTon-m

Max: -78.3 MTon-m

Max: -13.2 MTon-mMax: -42.7 MTon-m

Max: -63.9 MTon-m

Max: 2.1 MTon-m

Max: -76.6 MTon-m

Max: -14.5 MTon-mMax: -41.8 MTon-m

Max: -70.4 MTon-m

Max: 1.8 MTon-m

Max: -74.9 MTon-m

Max: -15.7 MTon-mMax: -40.8 MTon-m

Max: -70.4 MTon-m

Max: 1.5 MTon-m

Max: -73.3 MTon-m

Max: -16.8 MTon-mMax: -39.8 MTon-m

Max: -68.8 MTon-m

Max: 1.2 MTon-m

Max: -71.7 MTon-m

Max: -17.7 MTon-m Max: -35.4 MTon-m

Max: -67.4 MTon-m

Max: 1.0 MTon-m

Max: -70.2 MTon-m

Max: -17.7 MTon-mMax: -30.9 MTon-m

Max: -66.2 MTon-m

Max: 0.8 MTon-m

Max: -68.7 MTon-m

Max: -17.5 MTon-mMax: -26.4 MTon-m

Max: -65.1 MTon-m

Max: 0.6 MTon-m

Max: -60.8 MTon-m

Max: -17.2 MTon-mMax: -21.9 MTon-m

Max: -64.2 MTon-m

Max: 0.4 MTon-m

Max: -52.9 MTon-m

Max: -16.6 MTon-m Max: -17.4 MTon-m

Max: -63.4 MTon-m

Max: 0.2 MTon-m

Max: -45.1 MTon-m

Max: -16.0 MTon-m Max: -12.8 MTon-m

Max: -55.8 MTon-mMax: -37.3 MTon-m

Max: -15.2 MTon-m Max: -8.3 MTon-m

Max: -48.3 MTon-mMax: -29.5 MTon-m

Max: -14.3 MTon-m Max: -3.7 MTon-m

Max: -41.0 MTon-mMax: -21.7 MTon-mMax: -13.0 MTon-m

Max: -33.7 MTon-mMax: -13.9 MTon-mMax: -11.6 MTon-m

Max: -26.6 MTon-mMax: -6.2 MTon-mMax: -10.1 MTon-m

Max: -19.5 MTon-mMax: -8.5 MTon-mMax: -12.5 MTon-mMax: -6.8 MTon-m Max: -5.6 MTon-mMax: -5.1 MTon-m

Max: -3.3 MTon-mMax: -1.5 MTon-m

COEFICIENTE L/2B ES REDUCIDO –SIN RIOSTRA

Mmax = 78.3 tm

Max: -0.8 MTon-mMax: -1.5 MTon-mMax: -2.3 MTon-m

Max: -3.7 MTon-m Max: -3.0 MTon-mMax: -7.3 MTon-m Max: -3.7 MTon-mMax: -11.0 MTon-m Max: -4.5 MTon-mMax: -5.3 MTon-mMax: -14.7 MTon-m Max: -5.1 MTon-mMax: -10.7 MTon-mMax: -18.3 MTon-m Max: -5.8 MTon-m

Max: -16.0 MTon-mMax: -22.0 MTon-m

Max: -4.8 MTon-m Max: -6.4 MTon-mMax: -21.4 MTon-m

Max: -25.7 MTon-mMax: -9.7 MTon-m Max: -7.0 MTon-m

Max: -26.8 MTon-mMax: -29.3 MTon-m

Max: -14.5 MTon-m Max: -7.6 MTon-m

Max: -32.3 MTon-m

Max: -2.9 MTon-m

Max: -33.0 MTon-mMax: -19.4 MTon-m Max: -8.2 MTon-m

Max: -37.7 MTon-m

Max: -5.7 MTon-m

Max: -36.6 MTon-mMax: -24.3 MTon-m Max: -9.0 MTon-m

Max: -43.2 MTon-m

Max: -8.6 MTon-m

Max: -40.2 MTon-mMax: -29.3 MTon-m

Max: -9.0 MTon-m

Max: -48.8 MTon-m

Max: -11.4 MTon-m

Max: -43.8 MTon-mMax: -34.2 MTon-m

Max: -8.3 MTon-m

Max: -54.3 MTon-m

Max: -14.2 MTon-mMax: -43.8 MTon-m

Max: -39.2 MTon-m

Max: -7.5 MTon-m

Max: -60.0 MTon-m

Max: -16.9 MTon-mMax: -43.1 MTon-m

Max: -44.3 MTon-m

Max: -6.6 MTon-m

Max: -65.7 MTon-m

Max: -19.6 MTon-mMax: -42.2 MTon-m

Max: -49.4 MTon-m

Max: -5.8 MTon-m

Max: -65.7 MTon-mMax: -22.3 MTon-m Max: -41.2 MTon-m

Max: -54.5 MTon-m

Max: -4.9 MTon-m

Max: -62.9 MTon-mMax: -24.9 MTon-m Max: -40.2 MTon-m

Max: -59.7 MTon-m

Max: -4.4 MTon-m

Max: -62.2 MTon-mMax: -27.5 MTon-m Max: -39.3 MTon-m

Max: -59.7 MTon-m

Max: -3.9 MTon-m

Max: -61.6 MTon-mMax: -30.0 MTon-m Max: -38.3 MTon-m

Max: -56.8 MTon-m

Max: -3.4 MTon-m

Max: -61.0 MTon-mMax: -32.4 MTon-m Max: -33.9 MTon-m

Max: -56.8 MTon-m

Max: -2.8 MTon-m

Max: -60.5 MTon-mMax: -33.7 MTon-mMax: -29.6 MTon-m

Max: -56.9 MTon-m

Max: -2.3 MTon-m

Max: -60.0 MTon-mMax: -33.7 MTon-m Max: -25.3 MTon-m

Max: -57.0 MTon-m

Max: -1.7 MTon-m

Max: -53.1 MTon-mMax: -31.9 MTon-m Max: -20.9 MTon-m

Max: -57.3 MTon-m

Max: -1.1 MTon-m

Max: -46.3 MTon-mMax: -29.9 MTon-m Max: -16.6 MTon-m

Max: -57.3 MTon-m

Max: -0.5 MTon-m

Max: -39.4 MTon-mMax: -27.9 MTon-m Max: -12.2 MTon-m

Max: -50.6 MTon-m Max: -32.6 MTon-mMax: -25.8 MTon-mMax: -7.8 MTon-m

Max: -43.9 MTon-m Max: -25.8 MTon-mMax: -23.6 MTon-mMax: -3.5 MTon-m

Max: -37.3 MTon-mMax: -19.0 MTon-mMax: -21.1 MTon-m

Max: -30.8 MTon-mMax: -12.2 MTon-mMax: -18.6 MTon-m

Max: -24.3 MTon-mMax: -5.4 MTon-m

Max: -16.0 MTon-mMax: -17.9 MTon-mMax: -13.3 MTon-m Max: -11.5 MTon-mMax: -10.6 MTon-m Max: -5.1 MTon-m

Max: -7.8 MTon-mMax: -5.0 MTon-mMax: -2.2 MTon-m

COEFICIENTE L/2B ES REDUCIDO –CON RIOSTRA

Mmax =65.7tm

CASO: PUENTE DONDE EL COEFICIENTE L/2B ES REDUCIDO COMPARACIÓN MODELOS DE CALCULO

� Solicitaciones de Flexión Máximas:� Modelo Emparrillado – Sin Riostra: 78.3 tm� Modelo Emparrillado – Con Riostra: 65.7 tm� Modelo Distribución Uniforme: 42.1 tm� Diferencia - Sin Riostra: +85.9%

� Esfuerzos de Pretensado:� Modelo Emparrillado – Sin Riostra: Noo = 161.6 tn� Modelo Emparrillado – Con Riostra: Noo = 151.4 tn� Modelo Distribución Uniforme: Noo = 133.2 tn� Diferencia – Sin Riostra: +21.3%