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Evaluación estructural del tablero compuesto por v= igas metálicas del puente sobre el Río Bulubulu, provincia del Guayas=

Structural evaluation of the ste= el girder deck of the bridge over the Bulubulu River, Guayas province

&= nbsp;

¹	Miguel Ángel Intriago Santana	<= /span>	https://orcid.org//0009-0009-7706-0304
	Facultad de Postgrado. Universidad Técnica de Manabí. Portoviejo, Ecuador. = m-intriago_1311@hotmail.com=
²	Pablo Julio Lindao Tomalá		https://orcid.org//0009-0002-1144-5518
	Facultad de Ciencias Matemáticas y Físicas. Universidad de Guayaquil. Guayaquil, Ecuador. pjlindao@yahoo.com

	Artículo de Investigación Científ= ica y Tecnológica Enviado: 17/05/2024 Revisado: 15/06/2024 Aceptado: 26/07/2024 Publicado:15/08/2024 DOI: https://doi.org/10.33262/concienciadigital.v7i3.3140
	= &nbs= p;
Cítese:		Intriago Santana, M. Ángel, & Lindao Tomalá, P. J. (2024). Evaluación estructural del tablero compuesto= por vigas metálicas del puente sobre el Río Bulubulu, provincia del Guayas. ConcienciaDigital, 7(3), 168-192. https://doi.org/10.33262/concienciadigital.v7i3.3140=
		*CONCIENCIA DIGITAL,* = es una revista multidisciplinar, trimestral, que se publicará en sopo= rte electrónico tiene como misión contribuir a la formació= n de profesionales competentes con visión humanística y crítica que sean capac= es de exponer sus resultados investigativos y científicos en la misma medida= que se promueva mediante su intervención cambios positivos en la sociedad.&nb= sp;https://concienciad= igital.org La revista es editada por la Editorial Ciencia Digital (Editorial de prestig= io registrada en la Cámara Ecuatoriana de Libro con No de Afiliación 663) www.celibro.org.ec
		= Esta revista está protegida bajo = una licencia Creative Commons AttributionNonCommercialNoDerivatives 4.0 International. Copia de la licencia: http://creativecommons.org/licenses/by-nc-nd/4.0/
Palabras claves: Evaluación Puente Vigas Metálicas<= /span> Diafragmas		Resumen Introducción: Los puentes son estructuras fundamentales para el desarrollo socioeconómico a nivel mundial, son elementos esenciales para = la vialidad y el Ecuador tiene puentes importantes en su red vial. Por otra parte, nuestro país al ser un territorio con un peligro sísmico alto requ= iere para los puentes no solo un análisis de cargas gravitacionales, si no tam= bién bajo cargas laterales provenientes de la acción sísmica. En el presente c= aso de estudio se abordará el comportamiento estructural del tablero del puen= te BuluBulu, específicamente comprenderá el análisis a flexión y a cortante = de las vigas longitudinales de acero estructural, y el análisis a cargas axiales= de los diafragmas de apoyos e interiores. Objetivo: Determinar el comportamiento estructural de las vigas longitudinales y diafragmas del t= ablero del puente Bulubulu antes cargas gravitacionales y carga proveniente de la acción sísmica mediante un análisis modal espectral realizado a un modelo= matemático de la estructura elaborado en el programa CSI Bridge. Metodología: Revisar los planos estructurales del proyecto original, evaluar las cargas actuantes, elaborar un modelo matemático de la estructura en el programa = CSI BRIDGE, realizar un análisis modal espectral al modelo matemático de la estructura, obtener las máximas demandas en las vigas longitudinales y en= los diafragmas, verificar las relaciones demanda capacidad (D/C) a flexión y = a cortante de las vigas longitudinales, además de las relaciones D/C a compresión y tensión axial de los diafragmas. Resultados: De las máximas demand= as obtenidas del análisis estructural y de la evaluación de la capacidad de = los elementos, se obtuvieron los siguientes resultados. La viga metálica long= itudinal “VIGA I (1.360x0.020x0.40x0.03) m tiene la capacidad suficiente para las solicitaciones a las cuales será sometida, trabaja al 79% para flexión negativa, 67% para flexión positiva y 25% para cortante. Los diafragmas c= umplen satisfactoriamente los requisitos y filosofía de diseńo de mantenerse en = el rango elástico ante un sismo, para el diafragma de apoyo predomina la compresión en el diagonal trabajando a un 91% de su capacidad, mientras q= ue para el diafragma interior predomina la tensión en el horizontal trabajan= do a un 49% de su capacidad. Conclusión: Mediante el análisis estructur= al mediante el modelo matemático elaborado en CSI Bridge, se determinaron la= s máximas solicitaciones y más críticas en los elementos de viga longitudinal y diafragmas. Las vigas metálicas longitudinales y diafragmas interiores y = de apoyos cumplen satisfactoriamente los requisitos de diseńo bajo la norma AASHTO LRFD 2020, además los diafragmas cumplen con la filosofía de diseń= o de mantener dichos elementos en el rango elástico. Para este estudio, el dis= eńo de viga longitudinal predomina el Estado Limite de Resistencia I, para lo= s diafragmas de apoyo predomina el E.L Evento Extremo y para los diafragmas interiores predomina el E.L de Resistencia I. Área de estudio general: Ingeni= ería Civil y Mecánica. Área de estudio específica: Estructuras Metálica= s. Tipo de artículo: Original.
Keywords: Eval= uation Brid= ge Beam= s Stee= l Diap= hragms		Abstract<= /p> Introduction: Bridges are fundamental structures for socioeconomic development worldwide, they are essential elements for roadways and Ecuador has impor= tant bridges in its road network. On the other hand, our country, being a terr= itory with a high seismic hazard, requires for bridges not only an analysis of gravity loads, but also under lateral loads coming from seismic action. T= his case study will address the structural behavior of the BuluBulu bridge de= ck, specifically the flexural and shear analysis of the longitudinal structur= al steel beams, and the axial load analysis of the support and interior diaphragms. Objective: To determine the structural behavior of the longitudinal beams and diaphragms of the Bulubulu Bridge deck under gravi= ty loads and seismic loads by means of a spectral modal analysis of a mathematical model of the structure developed in the CSI Bridge program. = Methodology: Review the structural drawings of the original project, evaluate the acting loads, develop a mathematical model of the structure in the CSI BR= IDGE program, perform a spectral modal analysis of the mathematical model of t= he structure, obtain the maximum demands on the longitudinal beams and diaphragms, verify the demand-capacity ratios (D/C) in bending and shear = of the longitudinal beams, as well as the D/C ratios in compression and axial tension of the diaphragms. Results: From the maximum demands obtai= ned from the structural analysis and the evaluation of the capacity of the elements, the following results were obtained. The steel beam "VIGA I (1.360x0.020x0.40x0.03) m" has sufficient capacity for = the stresses to which it will be subjected, working at 79% for negative bendi= ng, 67% for positive bending and 25% for shear. The diaphragms satisfactorily meet the requirements and design philosophy of remaining in the elastic r= ange in the event of an earthquake. For the end diaphragm, compression predominates in the diagonal, working at 91% of its capacity, while for t= he interior diaphragm, tension predominates in the horizontal, working at 49= % of its capacity. Conclusion: Through structural analysis using the mathematical model developed at CSI Bridge, the maximum and most critical stresses in the longitudinal beam and diaphragm elements were determined.= The longitudinal steel girders and the interior and support diaphragms satisfactorily meet the design requirements according to AASHTO LRFD 2020, and the diaphragms comply with the design philosophy of keeping these elements in the elastic range. For this study, the design of the longitud= inal beams is governed by Limit State Strength I, the supporting diaphragms are governed by Extreme Event L.S. and the interior diaphragms are governed by Strength I L.S.

Introducción

Los puentes son estructuras fundamentales para el desarrollo socioeconómico a n= ivel mundial, son elementos esenciales para la vialidad y no están exceptos de sufrir dańos y en muchos casos hasta colapsos a causa de las fuerzas y carg= as a las que están sometidos durante su ejecución y vida útil.

Según Guerra et al. (20= 21), a lo largo de la historia la tecnologí= a con la que se han construido los puentes ha evolucionado desde sus inicios hace= más de 3000 ańos cuando se fabricaban de manera rudimentaria con materiales tal= es como roca barro madera y fibras que servían para la sujeción de los element= os que lo componen.

Como menciona Lombeida (2023), en la actualidad la construcción de puentes abarca muchas técnicas y se ha vuelto necesario ten= er en cuenta a todos los factores constructivos involucrados en su proceso, en= tre los elementos estructurales más relevantes se encuentran los estribos, las pilas, las vigas y el tablero que dependiendo de la longitud, así como del ancho, el nivel de tránsito, los factores geológicos y climáticos deben ser diseńados con la finalidad de ofrecer un nivel de servicio óptimo y seguro.=

Para el diseńo del puente BULUBULU se realizó un modelo numérico con el software= SAP 2000, considerando modelo tipo viga, con el propósito de capturar de manera= más detallada el comportamiento y de manera integral (Choi et al., 2019), se realiza en otro software. Como menciona Mańueco (2018), en la actualidad se hace uso de programas como CSiBridge que es un software totalmente independiente que integra las capacidades de modelado, análisis y dimensionamiento de estructuras de puentes en un único modelo, además que considera superficies de influencia para carga vehicular (Computer & Structures Inc. [CSI], 2024), y puede evaluar el posicionamiento de carriles (National Cooperative Highway Rese= arch Program [NCHRP], 2021).

En lo referente al presente estudio se abordará específicamente la evaluación = del comportamiento estructural del tablero del puente BULUBULU que está apoyado sobre vigas de acero estructural, con el propósito de obtener un modelo con= un comportamiento más cercano a lo real de cómo se comporta el tablero del pue= nte.

Respecto al tablero, este constituye la parte de la super estructura del puente y es= la superficie sobre la que circularan los vehículos y la que transmite tanto cargas como sobrecargas a las vigas y al resto de la estructura, el tablero preferentem= ente es construido en hormigón armado y otras pocas veces en metal para aliviana= r el peso muerto, al tablero se lo denomina también con el nombre de losa (Rodríguez, 2020).

Metodología

La metodología empleada para el presente caso de e= studio será el método cuantitativo, el cual se caracteriza por la medición numéric= a de resultados, además el tipo de diseńo es no experimental descriptivo mismo q= ue está basado en la observación y que no pretende intervenir con el entorno, = por otra parte, se utilizará el método deductivo, el cual demuestra, comprende y explica los aspectos particulares de la realidad. =

El procedimiento para el caso de estudio será el siguiente:

·&nb= sp; Evaluar las cargas que están actuando sobre el pue= nte de acuerdo con la normativa AASHTO LRFD 2020. Como son la carga muerta, carga = viva vehicular, carga viva peatonal y de la acción sísmica según Norma Ecuatoriana de la Construcción (NEC, 2015).

·&nb= sp; Obtener las máximas demandas en las vigas de acero= y en los diafragmas.

·&nb= sp; Verificar las demandas versus la capacidad de los elementos metálicos del puente como son las vigas metálicas longitudinales y los diafragmas metálicos de acuerdo con la normativa AASHTO LRFD 2020.=

· &nb= sp; Verificar deformaciones por cargas vivas vehicular= es del puente Bulubulu.

Mater= iales y resistencias utilizadas

Para el análisis del puente Bulubulu se considerar= on los materiales de hormigón y acero estructural, las cuales se muestran en l= a tabla 1.

Tabla 1

Materiales empleados

Elemento=

Tipo

Peso Específico

Resistencia

Losa ts=3D20cm=

5000 psi=

2400 kgf/mł

f'c =3D 350 kgf/cm˛=

Viga

A709Gr50

7850 kgf/mł

fy =3D 3500 kgf/cm˛

Diafragma

A709Gr50

7850 kgf/mł

fy =3D 3500 kgf/cm˛

Descr= ipción de la estructura

Está ubicado sobre el Río Bulubulu, Km 26 vía Puer= to Inca - Naranjal perteneciente a la provincia de Guayas de Ecuador, es un pu= ente tipo viga sobre 2 pilas de hormigón de 10.70m, 11.20m de altura y sobre 2 estribos en cada extremo, consta de 3 vanos de 17.00m – 32.20m – 17.00m dan= do una longitud total de puente igual a 66.20m (figura 1). <= /span>

Figura 1

Perfil longitudinal de puente<= /p>

Eleme= ntos analizados que conforman la superestructura
El tablero es de sección compuesta, tiene un ancho total de 10.70m, la cual consta de una losa de hormigón de 0.20m de espesor= , 5 vigas metálicas tipo I (figura 3). Barrera, acera peatonal en el lado izqui= erdo y barrera vehicular jersey en el lado derecho. Carpeta asfáltica de 0.075m = de espesor, diafragmas de apoyo sobre estribos y pilas, diafragmas intermedios= en los vanos distribuidos de acuerdo con la figura 2.

Figura 2

Planta, tablero de puente

En la figura 2 se observa una vista en planta del tablero el cual está conformado de diafragmas interiores, diafragmas de apo= yo y vigas metálicas longitudinales.

Figura 3

Viga Longitudinal "VIGA I (1,36x0,02x0,40x0= ,03) m"

Las vigas metálicas son de perfiles I de alas paralelas con una resistencia de fluencia Fy=3D 3500 kg/cm2, estos elementos forman parte del sistema de la superestructura (figura 3).

Los elementos analizados en la presente investigac= ión son las vigas metálicas longitudinales, los diafragmas de apoyo (figura 4) y diafragmas interiores (figura 5).

Figura 4

Diafragmas de apoyo

Los diafragmas de apoyo son de perfiles L con una resistencia a fluencia Fy=3D3500 kg/cm2 con secciones de L4X4X5/8`` en la horizontal y la L4X4X1/2’’ en la diagonal.

Figura 5

Diafragmas interiores

Los diafragmas de apoyo son de perfiles L con una resistencia a fluencia Fy=3D3500 kg/cm2 con secciones de L4X4X1/2`` en la horizontal y la L3X3X1/2’’ en la diagonal (figura 5).

Carga= s muertas

Las cargas utilizadas en el modelo numérico son las descritas en la tabla 2.

Tabla 2

Cargas muertas

Elemento=

Espesor (m)

P. Específico (ton/= mł)

Carga Uniforme (ton= /m˛)

Tipo

Losa

0.2

2.4

0.48

DC

Tabla 2

Cargas muertas (continuación)<= /p>

Elemento=

Espesor (m)

P. Específico (ton/= mł)

Carga Uniforme (ton= /m˛)

Tipo

Aceras

0.2

2.4

0.48

DC

Asfalto<= /span>

0.075

2.2

0.165

DW

Instalaciones<= /o:p>

-

-

0.05

DW

Jersey

A=3D0.31m˛

2.4

0.74 (ton/m)

DC

Barandas=

-

-

0.15 (ton/m)

DC

Cargas vivas vehicular

Se define conforme a American Association of State Hig= hway and Transportation Officials (AASHTO, 2020), art. 3.6.1.2 en la cual se designa como HL-93, consiste en una combinación de: Camión de diseńo o tándem de diseńo, y carga de carril de diseńo de 0,952 T= on/m en un ancho de 3,0m. Se considera también factor de presencia múltiple hast= a 2 carriles cargados y el incremento por carga dinámica.

Figura 6

C= arga vehicular HL-93: (a) camión de diseńo+ carril de diseńo y (b) tándem de dis= eńo + carril de diseńo

(a)

(b)

Para momento negativo entre puntos de contraflexión bajo carga uniforme, así como en la reacción de pilares interiores se define según AASHTO (2020), art. 3.6.1.3.

Figura 7

C= onfiguración de vehículos para momento negativo

Además, se consideró una carga viva peatonal de 0,= 366 ton/m˛ sobre la acera.

Carga= sísmica

La carga sísmica fue definida por medio de un espe= ctro de diseńo de aceleraciones definido por la norma NEC (2015), para un períod= o de retorno de diseńo Tr=3D1000 ańos, con un factor z=3D0,5g, suelo tipo D. El = factor de modificación de respuesta R, se consideró un R=3D1 para el análisis y di= seńo de vigas longitudinales como de diafragmas intermedios (Federal Highway Administration [FHWA], 2014). Para los diafragmas de apoyos se utilizó un R=3D2 ya que se considera un aporte a la disipación de fuerza sísmica por parte de los apoy= os tipo POT (figura 8).

Figura 8

Espectro de diseńo para provincia del Guayas

Model= o matemático tridimensional del puente Bulubulu

El modelo matemático realizado en CSI Bridge permi= tirá obtener el comportamiento más realista de la estructura, en este se realiza= rá el análisis estructural. El modelo matemático es elaborado de acuerdo con la geometría y materiales descritos en los apartados anteriores, se considera empotramientos en los estribos y base de columnas (figura 9).

Figura 9

Modelo matemático del puente Bulubulu elaborado = en CSI Bridge

Obten= ción de las máximas demandas

Las máximas demandas fueron analizadas para las combinaciones de diseńo de acuerdo con AASHTO (2020), en donde las combinac= iones de carga predominantes son:

·&nb= sp;        Servicio 1:       =            DC + DW + LL + IM + PL                            (1)

·&nb= sp;        Resistencia 1:    =          1,25DC + 1,5DW + 1,75(LL+IM + PL)         (2)<= /p>
·&nb= sp;        Evento Extremo 1: =     1,25DC + 1,5DW + 0,5(LL+IM+PL) + EQ (3)

Las máximas demandas de interés son aquellas que solicitan a la sección de viga compuesta (Girder), por lo tanto, los siguie= ntes diagramas de fuerzas internas pertenecen a la Girder (viga) exterior derech= a, siendo esta la viga crítica de análisis.

Figura 10

Envolvente resistencia – DMF (Viga Exterior Dere= cha)

488.58 ton·m

527.94 ton·m

En la figura 10 se observa las máximas demandas obtenidas por momento en la vi= ga tipo I por la envolvente de Resistencia I Mu (-) =3D 527,94 ton<= /span>·= m; Mu(+)=3D488,58 ton·m. <= /p>

Figura 11

Envolvente Servicio – DMF (Viga Exterior Derecha= )

316.22 ton·m

350.03 ton·m

En la figura 11 se observa las máximas demandas obtenidas por momento en la viga tipo I por la envolvente de Servicio I Mu = (-) =3D 350,03 ton·m ; Mu(+)=3D316,22 ton·m.=

Figura 12

Envolvente = evento extremo – DMF (Viga Exterior Derecha)

347.37 ton·m

409.11 ton·m

En la figura 12 se observa las máximas demandas obtenidas por momento en la viga tipo I por la envolvente de Evento extremo= Mu (-) =3D 409,11 ton·m; Mu (+) =3D347,37 ton·m.

Figura 13

Envolvente resistencia – DFC (Viga Exterior Dere= cha)

132.98 ton

132.98 ton

En la figur= a 13 se observa las máximas demandas obtenidas por fuerza cortante en la viga ti= po I por la envolvente de Resistencia I Vu =3D 132,98 ton.

Figura 14

Envolvente servicio – DFC (Viga Exterior Derecha= )

87.26 ton

87.38 ton

En la figur= a 14 se observa las máximas demandas obtenidas por fuerza cortante en la viga ti= po I por la envolvente de Servicio Vu =3D 87,38 ton.

Figura 15

Envolvente evento extremo – DFC (Viga Exterior Derecha)=

86.65 ton

91.92 ton

En la figur= a 15 se observa las máximas demandas obtenidas por fuerza cortante en la viga ti= po I por la envolvente de Evento extremo Vu =3D 91,92 ton

Las máximas demandas para los diafragmas fueron obtenidas a partir de una envolvente que considera Servicio, Resistencia y Evento Extremo. Se puede tomar de forma independiente sin interacción de ot= ros esfuerzos (California Department of Transportation [CALTRANS], 2016).

Figura 16

Envolvente - DFA (Diafragmas de Apoyo)

En la figura 16 se observa las máximas demandas obtenidas por Carga axial en los diafragmas de apoyo por la envolvente Fu (= +) =3D 34,29 ton; Fu (-) =3D 34,23 ton.

Figura 17

Envolvente - DFA (Diafragmas Interiores)<= /i>

Evaluando las envolventes se determina que las máx= imas demandas para las vigas y diafragmas son las mostradas en las tablas 3 y 4 respectivamente.

Evidentemente la combinación Resistencia I genera mayos esfuerzos de momento y cortante por la cual controlara en el estado límite de resistencia (Delgado et al., 2021).

Tabla 3

Máximas demandas en viga longitudinal=

Elemento=

Mu + (ton-m)

Mu - (ton-m)

Vu (ton)=

Combo

VIGA I (1360x20x400= x30)

488,58

527,94

132,98

Resistencia 1

Ubicación

x=3D33,10 m

x=3D49,20 m

x=3D49,20 m

Para la tab= la 3 se muestra la ubicación y las demandas máximas de Momento flector, y Fuerza cortante obtenidas de las combinaciones de carga Servicio, Resistencia I y Envolvente de evento extremo.

Tabla 4

Máximas demandas en diafragmas=

Elemento=

Tensión + (ton)

Compresión - (ton)<= o:p>

Tipo Diafragma=

Combo

L4X4X5/8"=

21,40

21,38

Apoyo (Horizontal)

Evento Extremo

L4X4X1/2"=

34,29

34,23

Apoyo (Diagonal)

Evento Extremo

L4X4X1/2"=

26,26

15,87

Interior (Horizontal)

Resistencia

L3X3X1/2"=

11.00

7,17

Interior (Diagonal)

Resistencia

En la tabla 4 se muestra las demandas máximas de Fuerza axial obtenidas de las combinaciones de carga de Resistencia I y eve= nto extremo en los diafragmas.

Evalu= ación de la capacidad estructural de los elementos
Capac= idad a flexión negativa en vigas: se ev= aluó la capacidad de una viga sección compuesta, tomando en cuenta la sección vi= ga I más el aporte del acero de refuerzo superior. Primero, se obtuvo el eje neu= tro plástico (ENP) de acuerdo con AASHTO (2020), este está localizado en el alm= a de viga, a una distancia de 0,576m medido desde la cara inferior del patín superior. Las ecuaciones que aplican al caso de estudio son “Caso 1” en la obtención del Momento Plástico “Mp” (figura 18).
Figura 18

Eje neutro plástico (flexión negativa)

        (4)=

                                                =                         (5)

En la tabla 5 se muestran las propiedades de las secciones.

Tabla 5

Propiedades de la sección

Sección

I (mm⁴)

S bottom (mmł)

S top (mmł)

Solo Viga

142768666= 66.7

20995392.= 2

20995392.= 2

Compuesta n=3D8

306207767= 10.8

28610465.= 2

56732972.= 8

Compuesta 3n=3D24

221898217= 39.9

25520633.= 7

29965412.= 8

En tabla 5 se muestra las propied= ades de las secciones de viga sola y viga compuesta, donde se resume Momento de Inercia “I” y Modulo de sección “S” (Chen & Duan, 2014).

Tabla 6

Cálculo momento de fluencia

Momentos de Inercia

Momentos Negativos

Modulo Elástico

Momento de Fluencia

MD1

106.60 tonf-m

Sncb

0.0209954 m

MAD

1140.07 tonf-m

MD2

50.07 tonf-m

Sstt

0.056733 m

My

1534.36 tonf-m

MD3

148.75 tonf-m

Sltt

0.0452379

-

-

MD1=3DMomento generado combinación DEAD.

MD2=3DMomento generado por asfalto.

MD3=3DMomento generado por combinación DC.

My=3DMomento de fluencia determinado como se espec= ifica en el artículo D6.2.

            (6)

                               (7)

En la tabla 7 se muestra como la Viga “VIGA I (1,36x0,02x0,40x0,03) m” trabaja al 79% de su capacidad para un momento negativo Mu =3D 527= ,94 ton-m.

Tabla 7

Capacidad y D/C a flexión negativa en VIGA

T chaflan

8 cm

Rh

1

Dp

846mm

Dt

1610 mm

Mn

664.34 tonf-m

Mu

527.94 tonf-m

φ

1

Mu/φMn

0.79

Para determinar la capacidad se calcula en func= ión de:

                               (8)

                    (9)<= /p>
Donde:

Tchaflan=3D chaflan+Ala superior

Rh=3Dfactor de hibridez determinado como se especifica en el artículo 6.10.1.10.1

Dp=3DDistancia entre la cara superior del table= ro de hormigón y el eje neutro de la sección compuesta cuando se produce el momen= to plástico

Dt=3DProfundidad total de la sección compuesta = (mm)

Capac= idad a flexión positiva en vigas: el eje neutro fue calculado para el “Caso 2” de AASHTO (2020), este está localizad= o en el ala superior de la viga, a una distancia de 0,025m medido desde la cara inferior del patín superior.

Figura 19

Eje neutro plástico (flexión positiva)

En la tabla 8 se muestra como la Viga “VIGA I (1,36x0,02x0,40x0,03) m trabaja al 67% de su capacidad para un momento positivo Mu =3D 488,58 ton-m.

Tabla 8

Capacidad y D/C a Flexión Positiva en VIGA I

Momentos Positivos

Modulo Elástico

Momento de Fluencia

MD1

84.62 tonf-m

Sncb

0.0209954 m3

MAD

635.54 tonf-m<= /span>

MD2

43.15 tonf-m

Sstb

0.0286105 m3

My

942.98 tonf-m<= /span>

MD3

109.55 tonf-m<= /span>

Sltt

0.0255206 m3

-

-

Demanda /Capacidad de= la viga

Mn

723.99tonf-m

Mu

488.58 tof-m

φ<= span style=3D'mso-bookmark:_Hlk81985521'>

1

Mu/ φMn

0.67

Capac= idad a cortante en vigas: de acuerdo con AASHTO (2020), se debe cumplir que φVn ≥ Vu. En la t= abla 9 se muestra como la viga metálica trabaja al 25% de su capacidad = para un cortante Vu =3D 132,98 ton.

Tabla 9=

= Capacidad y D/C a co= rtante en VIGA I

Elemento

Vn<= /span>

φ

φVn

Vu/φVn

VIGA I(1360x20x40x30)= mm

132.98

1

530.115

0.25

=                          (10)

                                                =

                 <= /span>=   (11)

Capac= idad a compresión de diafragmas: de acuerdo con AASHTO (2020), se debe cumplir que φPn ≥ Pu. =

Tabla 10

D/C a compresión en diafragmas=

Elemento=

Ubicación

Tipo

Pu

φPn=

Pu/φPn

L 4"x4"x5/8"

Apoyo

Horizontal

21,38

51,91

0,41

L 4"x4"x1/2"

Apoyo

Diagonal

34,23

37,78

0,91

L 4"x4"x1/2"

Interior

Horizontal

15,87

42,39

0,37

L 3"x3"x1/2"

Interior

Diagonal

7,17

23,27

0,31

Capac= idad a tensión de diafragmas: de ac= uerdo con AASHTO (2020), se debe cumplir que φTn ≥ Tu. <= span style=3D'mso-bookmark:_Hlk81985521'>

Tabla 11

D/C a Tensión en Diafragmas

Elemento=

Ubicación

Tipo

Tu

φTn=

Tu/φTn

L 4"x4"x5/8"

Apoyo

Horizontal

21,40

69,61

0,31

L 4"x4"x1/2"

Apoyo

Diagonal

34,29

56,62

0,61

L 4"x4"x1/2"

Interior

Horizontal

26,26

53,35

0,49

L 3"x3"x1/2"

Interior

Diagonal

11,00

44,76

0,25

Análi= sis de deflexiones

Defle= xiones elásticas: las deflexiones fueron calculadas de acuerdo con AASHTO (2020), Cap. 3, C2.5.2.= 6.2 usando un modelo estructural de la viga más crítica en Sap2000, considerand= o el máximo efecto entre (caso 1: Δ_camión ó caso 2: 0,25Δcamión + Δ_carril), vale destacar que se utilizó las inercias de la= viga compuesta [propiedades a corto plazo (η)] (Barker & Puckett, 2014)= . A continuación, se presentan la deformada de viga.

Figura 20

Deflexión máxima por carga viva vehicular=

Considerando la deflexión permisible como:

Se utilizó un factor de distribución de deflexione= s de:

La deflexión máxima es 4,80 mm predomina caso 2, < 32,20 mm lo cual satisface.

Por otra parte, se verificó el criterio de Longitu= d de Tramo/Peralte de acuerdo con AASHTO (2020), Cap. 2, 2.5.2.6.3

Tabla 12

Verificación de relación Tramo/Peralte

Sección Simple

Sección Compuesta

Hmin =3D = 0.033L

1056 mm

Hmin =3D = 0.033L

1280 mm

Hbeam=3D<= o:p>

1360 mm

Hgirder= =3DHbeam+ts+Hchaflan

1650 mm

Hbeam≥H min, ok

Hgirder ≥H min, ok

=

Defle= xiones permanentes: se verificó las alas en tensión de la sección compuesta para El servicio de acuerdo con AASHTO (2020), Cap. = 6, 6.10.4.2.

En la tabla 13 se muestra cómo cumple la serviciabilidad para Momento Negativo en vigas interiores y exteriores, se consideró MD1igual a DC y MD2 como la carga DW, mientras que en la tabla 14 muestra como cumple para momento positivo (American Institute of Steel Construction [AISC], 2022).

Tabla 13

Análisis serviciabilidad - momento negativo

Vigas Interiores-Momento Negativo

MD1

MD2

MD3

1.3M LL + IM <= /span>

S top (beam)

S top (girder)

Esfuerzo

(ton-m)

(ton-m)

(ton-m)

(ton-m)

(mm3)

(mm3)

(kgf/cm2)

121.21

-

-

-

20995392.16

-

577.32

--

56.23

-

-

-

24892479.29

225.89

-

-

0.00

-

-

24892479.29

0.00

-

-

-

126.86

--

24892479.29

509.63

σtot= al

1312.84

0.8*Rh*fy= s

2800

σtot= al<0.8*Rh*fys

OK

Vigas Exteriores-Momento Negativo

MD1

MD2

MD3

1.3M LL + IM <= /span>

S top (beam)

S top (girder)

Esfuerzo

(ton-m)

(ton-m)

(ton-m)

(ton-m)

(mm3)

(mm3)

(kgf/cm2)

148.75

-

-

-

20995392.16

-

708.49

-

50.07

-

-

-

25177234.5

198.87

-

-

0.00

-

-

25177234.5

0.00

-

-

-

157.5

-

25177234.5

625.57

σtot= al

1532.93

0.8*Rh*fy= s

2800

σtot= al<0.8*Rh*fys

OK

Tabla 14

Análisis serviciabilidad - momento positivo

Vigas Interiores-Momento Positivo

MD1

MD2

MD3

1.3M LL + IM

S top (beam)

S top (girder)

Esfuerzo

(ton-m)

(ton-m)

(ton-m)

(ton-m)

(mm3)

(mm3)

(kgf/cm2)

103.6

-

-

-

20995392.16

-

493.44

-

43.12

-

-

-

27024466.44

159.56

-

-

0

-

-

27024466.44

0.00

-

-

-

132.56

-

30363621.03

436.58

σtot= al

1089.58

0.8*Rh*fy= s

3325

σtot= al<0.8*Rh*fys

OK

Vigas Exteriores-Momento Positivo

MD1

MD2

MD3

1.3M LL + IM <= /span>

S top (beam)

S top (girder)

Esfuerzo

(ton-m)

(ton-m)

(ton-m)

(ton-m)

(mm3)

(mm3)

(kgf/cm2)

109.55

-

-

-

20995392.16

-

521.78

-

43.15

-

-

-

27248089.41

158.36

-

-

0.00

-

-

27248089.41

0.00

-

-

-

168.26

-

30544866.7

550.86

σtot= al

1231.00

0.8*Rh*fy= s

3325

σtot= al<0.8*Rh*fys

OK

= Conclusiones

·&nb= sp;        Definir las cargas actuantes permitió establecer la condición más crítica para cargas gravitatorias considerando los pesos muer= tos y carga sísmica a partir de un espectro de aceleración de acuerdo con NEC-SE-DS.

·&nb= sp;        El Análisis Estructural del puente fue realizado m= ediante un modelo matemático en CSI Bridge V.25, el cual reflejó el comportamiento = detallado de la estructura ante las cargas para la cual fue sometida, obteniendo así = las máximas demandas para las vigas longitudinales y los diafragmas.=

·&nb= sp;        La viga longitudinal “VIGA I (1,36x0,02x0,40x0,03)= m tiene una adecuada capacidad a flexión y a cortante, trabajando al 79% para flexi= ón negativa, 67% para flexión positiva y 25% para cortante.<= /span>

·&nb= sp;        Los diafragmas en apoyos tienen buena capacidad a compresión y a tensión, trabajando a tensión al 61% y a 91% a compresión.

·&nb= sp;        Los diafragmas interiores horizontales tienen buena capacidad a compresión y a tensión, trabajando al 37% en compresión y al 49= % en tensión.

·&nb= sp;        Los diafragmas interiores diagonales tienen buena capacidad a compresión y a tensión, trabajando al 31% en compresión y al 25= % en tensión.

·&nb= sp;        La verificación de serviciabilidad es satisfactoria para la “VIGA I (1,36x0,02x0,40x0,03) m, se verificaron las deflexiones por debajo de L/1000 y esfuerzos menores que los admisibles.<= /span>

·   &nb= sp;     Para este estudio, el diseńo de viga longitudinal predomina E.L de Resistencia I, para diafragma de apoyo predomina E.L Evento Extremo y para diafragma interior predomina E.L de Resistencia I.

Conf= licto de intereses

Los autores expresan que no hay conflictos de inte= rés en el manuscrito presentado.

Referencias Bibliográficas

American Association of St= ate Highway and Transportation Officials [AASHTO]. (2020). LRFD Bridge Design Specifications. https://store.transportation.org/item/collectiondetail/202<= o:p>

American Institute of Steel Construction [AISC]. (2022). Steel Bridge Design Handbook. https://www.aisc.org/nsba/design-and-estimation-resources/steel-bridge-desi= gn-handbook/

Barker, R., & Puckett,= J. (2013). Design of highway bridges an LRFD Approac. JohnWiley& Sons, Inc. https://onlinelibrary.wiley.com/doi/book/10.1002/9781118411124

California Department of Transportation [CALTRANS]. (2016). Seismic design specifications for steel bridges. https://dot.ca.gov/-/media/dot-media/programs/engineering/document= s/seismicdesigncriteria-sdc/201605-seismicdesignspecsteelbridges_secondedit= ion.pdf

Chen, W., & Duan, L. (2014). Superstructure design. Taylor & Francis Group, LLC. https://www.routledge.com/Bridge-Engineering-Handbook-Superstructure-Design= /Chen-Duan/p/book/9781439852217

Choi, B., Moreno, L., Lim, C. S., Nguyen, D., & Lee, T. H. (2019). Seismic performance evaluation of a fully integral concrete bridge with end-restraining abutments. Advances in Civil Engineering, 2019, 12. https://doi.org/10.1155/2019/6873096

Computer & Structures = Inc. [CSI]. (2024). CSiBridge bridge analysis, design, and rating. https://www.csiamerica.com/products/csibridge.

Delgado, C., Vera, W., & Rodríguez, R. (2018). Propuesta de puente aplicando el método de diseńo AAS= HTO LRFD para la ciudad de Manta. Dominio de las ciencias,4(3),189-210. https://doi.org/10.23857/dc.v4i3.803

Federal Highway Administration [F= HWA]. (2014). LRFD Seismic Analysis and design of bridges. U.S. Department of Transportat= ion Federal Highway Administration. https://www.fhwa.dot.gov/bridge/seismic/nhi130093.pdf

Guerra, O., Peńa, F., & Yunapanta, J. (2021). Propuesta de reforzamiento de vigas de alma llena de puentes |metálicos con fibra de carbono y resina epóxica [Tesis de maestría, Universidad Técnica de Ambato, Ambato, Ecuador]. https://repositorio.uta.edu.ec/jspui/handle/123456789/34195

Lombeida, C. (2023). Diseńo estructural de un puente para paso peatonal y ganado vacuno, en la parroquia Pucayacu, cantón La Maná, provincia de Cotopaxi [Tesis de pregrado, Univers= idad Politécnica Salesiana, Quito]. https://dspace.ups.edu.ec/handle/123456789/2= 5260

Mańueco, N. (2018). Evaluación de= 4 puentes vehiculares tipo viga sobre el rio Rěmac utilizando el manual de inspección del MTC y software csibridge, Lima 2018 [Tesis de pregrado, Universidad César Vallejo, Lima]. https://repositorio.ucv.edu.pe/handle/20.500.12692/35482<= /span>

National Cooperative Highw= ay Research Program [NCHRP]. (2021). Proposed Modification to AASHTO Cross-Fra= me Analysis and Design. https://nap.nationalacademies.org/catalog/26074/proposed-modification-to-aa= shto-cross-frame-analysis-and-design

Norma Ecuatoriana de la Construcc= ión [NEC]. (2015). Peligro sísmico diseńo sismo resistente. MIDUVI. https://w= ww.habitatyvivienda.gob.ec/documentos-normativos-nec-norma-ecuatoriana-de-l= a-construccion/

Rodríguez A. (2020). Puentes con AASHTO LRFD 2017 (8th Edition). https://www.academia.edu/49312415/PUENTES_2020_Ing_Arturo_Rodr%C3%ADguez_Se= rqu%C3%A9n

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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////wAAAAD///8AAAD///////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////8AAAAA 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////wAAAAD///8AAAD///////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////8AAAAA////AAAA//////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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/////////////////////////////////////////////////////////////////////wAAAAD/ //8AAAD///////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////8AAAAA////AAAA//////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////wAAAAD///8AAAD///////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////8AAAAA////AAAA//////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////////////AAAAAP///wAAAP////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////wAAAAD///8AAAD/ //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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www= .concienciadigital.org

= ISSN: 2600-5859

= Vol. 7 No. 3, pp. 168 – 192, julio – septiembre 2024<= /span>

= =

Intelecto Página 168 | 192

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Mater= iales y resistencias utilizadas

Descr= ipción de la estructura

Carga= s muertas

Cargas vivas vehicular

Carga= sísmica

Model= o matemático tridimensional del puente Bulubulu

Obten= ción de las máximas demandas

Evalu= ación de la capacidad estructural de los elementos

Capac= idad a flexión positiva en vigas: el eje neutro fue calculado para el “Caso 2” de AASHTO (2020), este está localizad= o en el ala superior de la viga, a una distancia de 0,025m medido desde la cara inferior del patín superior.

Capac= idad a cortante en vigas: de acuerdo con AASHTO (2020), se debe cumplir que φVn ≥ Vu. En la t= abla 9 se muestra como la viga metálica trabaja al 25% de su capacidad = para un cortante Vu =3D 132,98 ton.

Capac= idad a compresión de diafragmas: de acuerdo con AASHTO (2020), se debe cumplir que φPn ≥ Pu. =

Capac= idad a tensión de diafragmas: de ac= uerdo con AASHTO (2020), se debe cumplir que φTn ≥ Tu. <= span style=3D'mso-bookmark:_Hlk81985521'>

Análi= sis de deflexiones

=

Defle= xiones permanentes: se verificó las alas en tensión de la sección compuesta para El servicio de acuerdo con AASHTO (2020), Cap. = 6, 6.10.4.2.

= Conclusiones

Elemento=	Tipo	Peso Específico	Resistencia
Losa ts=3D20cm=	5000 psi=	2400 kgf/mł	f'c =3D 350 kgf/cm˛=
Viga	A709Gr50	7850 kgf/mł	fy =3D 3500 kgf/cm˛
Diafragma	A709Gr50	7850 kgf/mł	fy =3D 3500 kgf/cm˛

Elemento=	Espesor (m)	P. Específico (ton/= mł)	Carga Uniforme (ton= /m˛)	Tipo
Losa	0.2	2.4	0.48	DC

Elemento=	Mu + (ton-m)	Mu - (ton-m)	Vu (ton)=	Combo
VIGA I (1360x20x400= x30)	488,58	527,94	132,98	Resistencia 1
Ubicación	x=3D33,10 m	x=3D49,20 m	x=3D49,20 m

Elemento=	Tensión + (ton)	Compresión - (ton)<= o:p>	Tipo Diafragma=	Combo
L4X4X5/8"=	21,40	21,38	Apoyo (Horizontal)	Evento Extremo
L4X4X1/2"=	34,29	34,23	Apoyo (Diagonal)	Evento Extremo
L4X4X1/2"=	26,26	15,87	Interior (Horizontal)	Resistencia
L3X3X1/2"=	11.00	7,17	Interior (Diagonal)	Resistencia

Sección	I (mm⁴)	S bottom (mmł)	S top (mmł)
Solo Viga	142768666= 66.7	20995392.= 2	20995392.= 2
Compuesta n=3D8	306207767= 10.8	28610465.= 2	56732972.= 8
Compuesta 3n=3D24	221898217= 39.9	25520633.= 7	29965412.= 8

Momentos de Inercia
Momentos Negativos	Modulo Elástico	Momento de Fluencia
MD1	106.60 tonf-m	Sncb	0.0209954 m	MAD	1140.07 tonf-m
MD2	50.07 tonf-m	Sstt	0.056733 m	My	1534.36 tonf-m
MD3	148.75 tonf-m	Sltt	0.0452379	-	-

T chaflan	8 cm
Rh	1
Dp	846mm
Dt	1610 mm
Mn	664.34 tonf-m
Mu	527.94 tonf-m
φ	1
Mu/φMn	0.79

Momentos Positivos	Modulo Elástico	Momento de Fluencia
MD1	84.62 tonf-m	Sncb	0.0209954 m3	MAD	635.54 tonf-m<= /span>
MD2	43.15 tonf-m	Sstb	0.0286105 m3	My	942.98 tonf-m<= /span>
MD3	109.55 tonf-m<= /span>	Sltt	0.0255206 m3	-	-
Demanda /Capacidad de= la viga
Mn	723.99tonf-m
Mu	488.58 tof-m
φ<= span style=3D'mso-bookmark:_Hlk81985521'>	1
Mu/ φMn	0.67

Elemento	Vn<= /span>	φ	φVn	Vu/φVn
VIGA I(1360x20x40x30)= mm	132.98	1	530.115	0.25

Sección Simple	Sección Compuesta
Hmin =3D = 0.033L	1056 mm	Hmin =3D = 0.033L	1280 mm
Hbeam=3D<= o:p>	1360 mm	Hgirder= =3DHbeam+ts+Hchaflan	1650 mm
Hbeam≥H min, ok	Hgirder ≥H min, ok

Vigas Interiores-Momento Negativo
MD1	MD2	MD3	1.3M LL + IM <= /span>	S top (beam)	S top (girder)	Esfuerzo
(ton-m)	(ton-m)	(ton-m)	(ton-m)	(mm3)	(mm3)	(kgf/cm2)
121.21	-	-	-	20995392.16	-	577.32
--	56.23	-	-	-	24892479.29	225.89
-	-	0.00	-	-	24892479.29	0.00
-	-	-	126.86	--	24892479.29	509.63
σtot= al	1312.84
0.8Rhfy= s	2800
σtot= al<0.8Rhfys	OK
Vigas Exteriores-Momento Negativo
MD1	MD2	MD3	1.3M LL + IM <= /span>	S top (beam)	S top (girder)	Esfuerzo
(ton-m)	(ton-m)	(ton-m)	(ton-m)	(mm3)	(mm3)	(kgf/cm2)
148.75	-	-	-	20995392.16	-	708.49
-	50.07	-	-	-	25177234.5	198.87
-	-	0.00	-	-	25177234.5	0.00
-	-	-	157.5	-	25177234.5	625.57
σtot= al	1532.93
0.8Rhfy= s	2800
σtot= al<0.8Rhfys	OK

Vigas Interiores-Momento Positivo
MD1	MD2	MD3	1.3M LL + IM	S top (beam)	S top (girder)	Esfuerzo
(ton-m)	(ton-m)	(ton-m)	(ton-m)	(mm3)	(mm3)	(kgf/cm2)
103.6	-	-	-	20995392.16	-	493.44
-	43.12	-	-	-	27024466.44	159.56
-	-	0	-	-	27024466.44	0.00
-	-	-	132.56	-	30363621.03	436.58
σtot= al	1089.58
0.8Rhfy= s	3325
σtot= al<0.8Rhfys	OK
Vigas Exteriores-Momento Positivo
MD1	MD2	MD3	1.3M LL + IM <= /span>	S top (beam)	S top (girder)	Esfuerzo
(ton-m)	(ton-m)	(ton-m)	(ton-m)	(mm3)	(mm3)	(kgf/cm2)
109.55	-	-	-	20995392.16	-	521.78
-	43.15	-	-	-	27248089.41	158.36
-	-	0.00	-	-	27248089.41	0.00
-	-	-	168.26	-	30544866.7	550.86
σtot= al	1231.00
0.8Rhfy= s	3325
σtot= al<0.8Rhfys	OK