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 Caracterización del Mortero Compuesto con Fibras de Cabuya Obtenidas en la Ciudad de Riobam= ba.

 

Characterization of Composite Mortar with Cabuya Fibers Obtained in Riobamba City.

 

= Marco Antonio Ordońez Vińan. [1], = Jessica Arcos Logrońo. [2],<= /span> William Ibań= ez Moreno. [3] & Santiago Cazar Rivera. [4]

 

Recibido: 28-04-2019 / Revisado: 04-05-2019 /Acepta= do: 08-06-2019/ Publicado: 05-07-2019

 

 

 Abstract.                                 DOI= : = https://doi.org/10.33262/cienciadigital.v3i3.610

 

Typography: Time New Roman 12 line spacing 1.15 (1= 50 - 300 words). The following study analyses the influence on the mechanical and thermal properties of mortars when “Cabuya Negr= a” fibres (Agave Americana) are added.=

Based on Ecuadorian construction regulations, the ideal mixture of the cement matrix was defined. This cement matrix was used= as a base for the addition of different Agave fibres concentrations.

The fibre lengths cons= idered in the study were 15 mm, using a random distribution. Regarding the reinforcement configurations, four nominal volumetric fractions of fibre were used: 0.25, 0.50, 0.75 and 1.0 %. The manufactured samples were tested using four standard trials: thermal conductivity, specific heat, resistance to bending and compression. The res= ults obtained showed that the reinforced mortar using a volumetric fraction of 0= .5% Agave fibre present the best fluency of a mater= ial suitable for coating. Therefore, 0.5% volumetric fraction was also defined = as the most suitable Agave concentration for the mixture. As result, the resistance to bending and compression increase 9 and 11% respectively compa= red to the cement matrix without Agave fibres. In addition, the thermal conductivity and the specific heat were also improved= 13 and 18% respectively.

Keywords: Thermal characterization, Thermal conductivity, Mort= ar, Fiber of cabuya.

Resumen.

El siguiente estudio analiza la influencia sobre l= as propiedades mecánicas y térmicas de los morteros de cemento al adicionar fibras de cabu= ya negra (Agave Americano).

En base a las normas de construcción utilizadas en Ecuador, se determinó la mezcla ideal para la matriz c= ementicia, que servirá de referencia al momento de agregar las diferentes concentracio= nes de fibra de cabuya.

Las longitudes consideradas para la fibra fueron 1= 5 mm y la distribución es de tipo aleatoria. Para las diferentes configuraciones= de refuerzo se agregaron cuatro fracciones volumétricas nominales de fibra: 0.= 25; 0.50; 0.75; y 1.0 %. Los especímenes fabricados fueron sometidos a ensayos = de conductividad térmica, calor específico, resistencia a flexión y compresión. Los resultados obtenidos mostraron que el mortero reforzado con una fracción volumétrica de fibra de cabuya de 0.50 % exhibió la fluidez ideal de un material apto para recubrimientos, limitando así la cantidad máxima de fibra que puede agregarse para formar el material. Como resultado se determina qu= e la resistencia a la compresión y a la flexión del material compuesto es mayor = con respecto a la matriz cementicia  9 y 11% respectivamente, se determina también que la conductividad térmica y el cal= or específico  en comparación con la m= atriz cementicia mejoraron 13 y 18 % respectivamente.<= /o:p>

P= alabras claves: Caracterización térmica, Conductividad térmica, Mortero, Fibra de cabuya.

Intro= ducción.

En muchas civilizaciones de la antigüedad, las fibr= as se usaron para reforzar materiales (Vidaud, 2015).

Por ejemplo, la paja se usaba como refuerzo en los adobes de arcilla para contr= olar la tensión por el secado y reducir el agrietamiento (Gutiérrez Jiménez, Oteiza San José, Monjo Carri= ó, & Rey González, 2008). Posteriormen= te, en la era moderna el asbesto comenzó a ser utilizado frecuentemente en much= os países. La industria de la construcción usó a gran escala las fibras minerales de asbesto en una matriz de ce= mento (Mari, 1990). Sin embargo, debido a que se detectaron algunos dańos a la salud como la asbestosis al fabricar productos de asbesto-cemento, su aplicación disminuyó considerablemente. Debido a esto, se buscó entonces sustituir el asbesto po= r fibras de otros materiales las cuales resultaro= n ser una alternativa viable (Akers & Studinka, 1989).

Estudios previos han sido realizados en México, Singapur y Brasil utilizando fibras vegetales bajo condiciones regulares, ex= isten también estudios donde se analiza el deterioro del concreto con fibras vegetales expuesto a medios alcalinos y a ciclos de humedecimiento y secado (“FEA,” n.d.; Paramasivam, Nathan, & Das Gup= ta, 1984; Ramakrishna, Sundararajan, & Kothandaraman, 2010)

En el Ecuador la producción de cerámicas para revestimientos cumplen con normas establecidas, aunque los métodos de producción son meras copias de producto= s y estándares extranjeros, de tal manera que no ha existido algún tipo de investigación en el área específica sobre= fibras de cabuya; sin embargo existen estudios referenciales que indican la inclusión de materiales como plástico, determinándose su viabilidad financiera y ambiental (Aguirre, 2013)

Se han estudiado características con diferentes conᤙ= 7;guraciones de materiales compuestos con la fibra de = cabuya como material disperso con los diferentes diámetros de fibras existentes en el medio, aprovechando sus características de resistencia y durabilidad, instituciones tales como la ACI, ASTM, de origen Americano, han desarrollado programas de investigación= en sus respectivos países empleando en todos los casos, materia prima propia de sus regiones. Lo cual hace que aquellas normas internacionales para el dise= ńo de concretos y morteros reforzados o no reforzados no se apliquen para materiales propios dentro del país (Dávila et al., 2011).

Como potenciales fuentes de materia prima, el estudio se enfoca hacia las fibras vegetales de la cabuya, debido a que son especies propagadas en gran escala en la provincia de Chimborazo, y que no = han sido utilizadas para ningún proceso que les agreguen valor para su adecuado consumo en la industria de la construcción; de tal manera que es necesario = por medio del presente estudio, realizar la caracterización de estas especies, = con el fin de integrarlas como materias prima= s, y así determinar su impacto en el sector de la construcción y a nivel social y económico.

De lo expuesto anteriormente se determina la importancia de realizar una investigación que aporte información genérica relacionada con la utilizació= n de fibras de cabuya como refuerzo en mortero= s con un agregado propio de la región, justificando con la poca o nula información que existe sobre este material compuesto y s= us características térmicas y mecánicas dentro de las alternativas para la construcción.

Metodologia.

Materiales

Se utilizó como refuerzo fibra de cabuya negra Las ᤙ= 7;bras fueron adquiridas en el mercado General Dávalos, dichas fibras fueron extraídas de plantas cultivadas en el cantón Guano, la parroquia San Gerardo. Las muestras se obtuvieron a partir de los bultos.

Como matriz del material compuesto se empleó mortero de cemento compuesto de are= na proveniente de la cantera Hnos. Castro Cerro Negro con código 3322 y de cem= ento HIDRAULICO tipo PORTLAND.

Métodos

Se considera una investigación exploratoria, debido a que el tema estudiado ac= erca de un material compuesto con fibras natur= ales a base de fibras de cabuya, ha sido poco analizado en el país, pero con el sustento técnico de los ensayos que se realizaron se logró determinar la influencia que tiene sobre las propiedades mecánicas (Borri & Bucci, 2013; Con & Colectividad, 2015; De, De Sistemas, Fernando, Arteaga, & Armendariz, 2008; Gutiérrez Jiménez et al., 2008; Las et al., 2014; Velasco Roldán, Goyos Pérez, Delgado García, & Amores, 2016).=

Dosificación del mortero.

La dosificación del mortero viene recomendad= a en base a la Norma (INEN 488,2009).

Elaboración de las probetas de material compuesto.

Debido a que no se disponen de datos previos sobre la mezcla de fibras de cabuya y morteros de cemento en los cuales basarse, se decide realizar un barrido preliminar de proporciones cemento/arena manteniendo constante las proporciones de los componentes de la matriz cementici= a y se varía la concentración de las fibras= de cabuya. Esta experiencia sirve para determinar el nivel de trabajabilidad d= e la muestra.

Luego del análisis de las experiencias más cercanas con @= 257;bras vegetales como refuerzo de materiales constructivos, se puede observar que existe un espectro muy amplio de porcentajes de refuerzo que van desde el 0= ,5 % al 16 % inclusive  varios ensayos coinciden en que el uso de fibras en una proporción de 0.5 % en peso es la más adecuada, tanto para tensión c= omo para compresión, independientemente de la edad de la probeta a la hora de h= acer el ensayo.

El comportamiento gen= eral es una reducción de la resistencia a medida que el refuerzo

 

Ensayo de fluidez en morteros.=

Este tipo de ensayo se emplea para determinar si el contenido de agua que se encuentra en la mezcla es suficiente para proporcionar fluidez en el mortero, para = esto se utilizó la Norma (INEN 2502,2009) y se emplea la relación mostrada en la Ecuación 1.

                    (<= !--[if supportFields]> SEQ Ecuación \* ARABIC <= /span>1)

 

 

Donde:

: Fluidez del mortero [%].<= /span>

=  : Diámetro de la muestra saturada [cm].

=  : Diámetro de la base [cm].

 

Resistencia a flexión y compresión de morteros

El estudio se centró básicamente en el estudio de = la resistencia de las probetas tanto a flexión como a compresión bajo la Norma (INEN 198,2009), esta norma establece los métodos para determinar la resistencia a flexión= y a la compresión de morteros de cemento hidráulico.

 

Flexión

El ensayo consiste en aplicar una carga con una velocidad de 5 kPa/s en el cen= tro de la probeta que se coloca de forma biapoyada = con una luz de 100 mm. La resistencia a flexión se calcula a partir de la siguiente expresión:

                            (= 2)

Donde:

Rf =  : Resistencia a la flexión [MPa].

M : Momento flector (módulo de rotura) [Nmm].

b : Arista de la sección cuadrada del prisma [mm].

= Pf =  : Carga a la rotura a = la flexión [N].

l : Distancia entre los apoyos [mm].

Como l =3D 100mm y b =3D 40mm la ecuación anterior se simpl= ifica a:

 

 

                          (3)

 

Compresión

Para el ensayo de compresión se utiliza la máquina universal con una velocidad de carga de 240 kPa/s sobre una superficie cuadrada de 4 x 4 cm2 correspondiente a uno de los lados de las probetas resultantes de la rotura del ensayo de ᤙ= 8;exión. La resistencia a la compresión se determina por medio de la siguiente ecuac= ión:

 

                                      (4)

 

Donde:

Rc<= /i>  : Resistencia a la compresión [MPa].

Pc : Carga de rotura a la compresión [N].

b : Arista de la sección cuadrada del prisma [mm].

Como b =3D 40mm la ecuación anterior se simplifica a:

 

                     (5)

 

Conductividad térmica.

Para la prueba de conductividad se ejecuta según lo indicado en la norma (ASTM: C177, 1992), se prepararon diez muestras de mortero con las concentraciones= de fibra de cabuya indicadas en la tabla, las dimensiones de los especímenes deben ser de 300 mm x 300 mm x 50 mm. La conductividad térmica se denota por la siguien= te expresión:

 

                             (6)

 

Donde:

 Calor transmitido por unidad de tiempo.<= o:p>

 : Conductividad térmica

: Área de la superficie de contacto.

: Diferencia de temperatura entre el f= oco caliente y el foco frio.

: Espesor del material.

Calor específico.

Para determinar el calor específico de las mue= stras a diferentes temperaturas se hizo referencia a la norma (ASTM E1269, 2001) = que establece un método de prueba estándar para determinar la capacidad calóric= a específica mediante calorimetría diferencial de= barrido.

Donde:

Cp(s) : Capacidad calorífica específica de la muestra. [J(gK)-1].

Ds : Desplazamiento vertical entre el porta-muestras y la muestra de las curvas térmicas DSC en un temperatura. [mW]=

W : Diferencia de masa entre la muestra vacía titular de la muestra de ensayo s= i el mismo no se utiliza para ambas ejecuciones.

Resu= ltados.

Dosificación del mortero.

Para la dosificación del mortero para esta investigación se determina la combina= ción óptima a partir del ensayo de fluidez sie= ndo la indicada la dosis 2 de la Tabla 1, misma que sirve como base para = la elaboración del material compuesto.

Tabla 1. Dosificación del mortero.

 

Cemento

Arena

Relación A/c<= /b>

Dosis 1

1

2,75

0,485

Dosis 2

1

2

0,65

 

 

 

 

Elaboración de las probetas de material compuesto.

 =

Para la elaboración de las muestras se construyeron seis moldes prismáticos  en acero con dimensiones 40 x 40= x 160 mm a los cuales se les aplicó un agente desencofrante<= /span> a los moldes para facilitar el desprendimiento cuando se encuentren endurecidos. Una vez elaborada las mezclas de mortero con las dosificaciones mencionadas en la Tabla 1, se llenan los moldes en dos cap= as, cada capa se compactada 32 veces en 4 rondas y en cada ronda se compacta co= n 8 golpes en dirección perpendicular a la anterior como se indica en la ĄError! No se encuentra el origen de la referencia.. Se deben completar 4 rondas de apisonado del mortero en un prisma antes de pasar al siguiente.

Al finalizar la compactación se retira con u= na espátula el exceso de mortero que hay en el borde del molde y se alisa la <= span class=3DSpellE>superficie.

Figura. 1 Orden de apisonamiento en el molde de los especímenes.

Ensayo de = fluidez en morteros

 

La fluidez del mortero endurecido a los 28 dias se determina en la Tabla 2, donde la muestra M3 presenta el flujo en el rango permisible del mortero para revestimientos.

Tabla 2. = Fluidez de materiales compuestos de mortero - cemento en función de la fracción volumétrica de fibra de 28 dias de curado.

DETERMINACIÓN FLUIDEZ  (FLUJO) =

(фprom-фbase)*100/фbase)<= /o:p>

MUESTRA

AGUA (g.)

ф (mortero) (cm.)

ф (base) (cm.)

FLUJO (%)

M1

325

21,7

10

116,5

21,6

10

21,7

10

21,6

10

M2

325

20,6

10

103

20,2

10

20,2

10

20,2

10

M3

325

19,8

10

96,5

19,3

10

19,7

10

19,8

10

M4

325

18

10

81,5

18,3

10

18,1

10

18,2

10

M5

325

17,2

10

69,75

17

10

16,9

10

16,8

10

 

1.1.1      =   Resistencia a flexión y compresión de morteros

<= span style=3D'font-size:12.0pt;line-height:115%;font-family:"Times New Roman",se= rif; mso-fareast-font-family:"Times New Roman";color:windowtext'>Flexión

La  flexión a tres puntos se incrementó respecto al de la matriz cementicia = para todos los materiales compuestos de mortero - cabuya, como se muestra en la = Figura. 2. Para los materiales fabricados con fibra de cabuya de 15 mm en todas las fracciones volumétricas analizadas, el módulo a la flexión sufrió un incremento comprendido entre e= l 6 y 16%.

Tabla 3. Flexión de materiales compuestos de mortero - cemento en función de la fracción volumétrica de fibra de 28 dias de curado.

FLEXIÓN 28D SECO

 

KN

TON

 

Rf Mpa

M1

2,1070

0,2149

0,2094

4,8128

2,4110

0,2459

2,5610

0,2612

2,0000

0,2039

M2

2,2210

0,2265

0,2236

5,1386

2,3130

0,2359

1,9460

0,1984

2,1640

0,2207

M3

2,5310

0,2581

0,2310

5,3097

2,6160

0,2668

2,0510

0,2091

2,0000

0,2039

M4

2,5370

0,2587

0,2523

5,7995

2,4230

0,2471

2,6130

0,2665

2,4120

0,2460

M5

2,9170

0,2975

0,3017

6,9339

3,2900

0,3355

2,8590

0,2915

3,0000

0,3059

Figura= . 2 <= /span>Flexión de materiales compuestos de mortero - cemento en función de la fracción volumétrica de fibra de 28 dias de curado.

 

Los resultados del ensayo de  flexión permitieron verificar el aumento en la rigidez de los materiales compuestos obtenidos en relación a la matriz cementicia, apreciando la marcada influencia de la fibra en estas propiedades mecánicas= .

Compresión

Los resultados del ensayo a compresión se incrementó respecto al de la matriz cementicia para todos = los materiales compuestos de mortero - cabuya, como se muestra en la  REF _Ref499593425 \h  \* MERGEFORMAT Figura. 3= Figura. 2. Para los materiales fabricados con fibra de cabuya de 15 mm en todas las fracciones volumétricas analizadas, la compresión sufrió un incremento comprendido entre el 2 y 29%= .

 

Tabla 4. Compresión de materiales compuestos de mortero - cemento en función de la fracción volumétrica de fibra de 28 dias de curado.

 

COMPRESION 28D SECO

 

TON

KN

 

Rc Mpa

M1

3,1090

30,4888

3,1155

19,0954

3,1210

30,6064

2,8580

28,0273

3,0040

29,4591

3,0230

29,6454

3,1220

30,6162

M2

3,2250

31,6263

3,1900

19,5520

3,0890

30,2926

3,1210

30,6064

3,1370

30,7633

3,1680

31,0674

3,1550

30,9399

M3

3,5650

34,9606

3,5115

21,5225

3,0720

30,1259

3,6640

35,9314

3,2950

32,3128

3,5610

34,9214

3,4580

33,9113

M4

3,7910

37,1769

3,7215

22,8097

3,7100

36,3825

3,2950

32,3128

3,8210

37,4711

3,6540

35,8334

3,6520

35,8138

M5

4,51

44,21

4,44

27,18

4,27

41,83

4,43

43,46

4,26

41,82

4,37

42,83

4,36

42,78

 

Figura. 3 <= /span>Compresión de materiales compuestos de mortero - cemento en función de la fracción volumétrica de fibra de 28 dias de curado.

 

Los resultados del ensayo de  compresión permitieron verificar el aumento en la rigidez de = los materiales compuestos obtenidos en relación a la matriz cementicia, pudiéndose apreciar la marcada influencia de la fibra en estas propiedades mecánicas.

Conductividad tér= mica.

La conductividad térmica  incrementó respecto al de la matriz ceme= nticia para todos los materiales compuestos de mortero - cabuya, como se muestra e= n la Figura. 4. Para los materiales fabricados con fibra de cabuya de 15 mm en todas las fracciones volumétricas analizadas, el módulo a la flexión sufrió un incremento comprendido entre e= l 8 y 22%.

 

Tabla 5. Conductividad térmica de materiales compuestos de mortero - cemento en función de la fracción volumétrica de fibra de 28 dias de curado.

CONCENTRACIÓN

λ (W/°K m)<= /p>

0

1,247

0,25

1,152

0,5

1,102

0,75

1,056

1

1,019

 

Figura. 4 <= /span>Conductividad térmica de materiales compuestos de mortero - cemento en función de la frac= ción volumétrica de fibra de 28 dias de curado.

Los resultados del ensayo de  conductividad térmica  de los materiales compuestos obtenidos en relación a la matriz cementicia, pudiéndose apreciar la marcada influencia de la fibra en estas propiedades térmicas.

 

Conclusiones.

ˇ&nb= sp;        El porcenta= je de fibra aceptable para la  matriz cementicia fue de 0,50 %, = desde el punto de vista de la fluidez al agregar una cantidad mayor de fibra disminuye el flujo y la mezcla se vuelve menos manejable.=

ˇ      =    La dosifica= ción óptima para fabricar la matriz cementicia es 1:= 2 con una relación de agua/cemento de 0.65, obteniendo una resistencia a los 28 d= ías de 31,9 kN.

ˇ<= span style=3D'font:7.0pt "Times New Roman"'>      =    El esfuerzo máximo = a la compresión  y flexión, incrementaron 9 y 11% para los materiales compuestos reforzados con fibra corta de cabuya con respecto a las correspondientes propiedades de la matriz cementicia.

ˇ<= span style=3D'font:7.0pt "Times New Roman"'>      =    Al usar fibras de cabuya, el comportamiento a flexión y compresión del mortero reforzado evidencia incremento en la ductilidad.

ˇ<= span style=3D'font:7.0pt "Times New Roman"'>      =    La conductividad térmica, disminuyó el 13% para los materiales compuestos reforzados con fib= ra corta de cabuya con respecto a las correspondientes propiedades de la matri= z cementicia, disminuyendo así la conducción del calor.=

 

Referencias bibliográficas.

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LMari, E. A. (1990). Situación ac= tual y perspectivas del uso de fibras de vidrio para el refuerzo de materiales cementicios, 29, 331–337.

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Velasco Roldán, L., Goyos Pérez, = L., Delgado García, R., & Amores, L. F. (2016). Instalación para medición de conductividad térmica en composites basados en residuos de biomasa. = Enfoque UTE, 7(2), 69–81. Retriev= ed from http://ingenieria.ute.edu.ec/enfoqueute/index.php/revista/article/view/96%0= Ahttp://ingenieria.ute.edu.ec/enfoqueute/index.php/revista/article/download= /96/101

Vidaud, E. (2015). Una aproximaci= ón a los concretos reforzados con fibras, 30–35.

 

 

 

 

PARA CITAR EL ARTÍCULO INDEXADO.

 

 

Párraga Palacios, Ánge= l, Intriago Rodríguez, S., Velasco Fuentes., E., Cedeńo Quinto, V., Cedeńo Qui= nto, V., Murillo Párraga, N., & Zambrano Gavilanes, F. (2019). Producción de energía eólica en Ecuador. Ciencia Digital, 3(3), 22-32. https://doi.org/1= 0.33262/cienciadigital.v3i3.610

 

 


 

 

 

El artículo que se publica es de exclusiva responsabilidad de los autores y no necesariamente reflejan el pensamiento de la Revista Ciencia Digital.

 

El artículo qu= eda en propiedad de la revista y, por tanto, su publicación parcial y/o total en otro medio tiene que ser autorizado por el director de la Revista Ciencia Digital.

 

 

 

 



[1] Escuela Superior Politécnica de Chimborazo, Facultad de Cienci= as. Macas, Ecuador.   marco.ordonez@esp= och.edu.ec.

[2]  <= span lang=3DES-EC style=3D'font-size:10.0pt;line-height:115%;font-family:"Times = New Roman",serif; mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:major-fare= ast; mso-ansi-language:ES-EC'>Escuela Superior Politécnica de Chimborazo, Facult= ad de Ciencias. Macas, Ecuador. paola.arcos@espoch.edu.ec.

[3] Escuela Superior Politécnica de Chimborazo, Facultad de Ciencias. Ma= cas, Ecuador. william.ibaniez@espoch.edu.ec.

[4] Escuela Superior Politécnica de Chimborazo, Facultad de Ciencias. Ma= cas, Ecuador. eduardo.cazar@espoch.edu.ec.

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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////AAAAAAAAAAD///8AAAD///////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////8AAAAAAAAAAP///wAAAP////////////////// 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////8AAAAAAAAA AP///wAAAP////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////AAAAAAAAAAD///8AAAD///////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////8AAAAAAAD///////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////8AAAAAAAAAAP///wAAAP////////// //////////////////////////////////////////////////////////////////////////// /////////////////wAAAAAAAAAAAP///wAAAAAAAAAAAAAAAP///wAAAP///wAAAAAAAP////// /wAAAAAAAAAAAP///wAAAAAAAP///wAAAP///wAAAAAAAP///wAAAP///wAAAAAAAAAAAAAAAP// /wAAAP////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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