LibreOffice/6.4.3.2$Linux_X86_64 LibreOffice_project/747b5d0ebf89f41c860ec2a39efd7cb15b54f2d8 0 0 14099 9999 true $(brandbaseurl)/share/palette%3B$(userpath)/config/standard.sob 0 $(brandbaseurl)/share/palette%3B$(userpath)/config/standard.soc $(brandbaseurl)/share/palette%3B$(userpath)/config/standard.sod 1270 true true false true false $(brandbaseurl)/share/palette%3B$(userpath)/config/standard.sog $(brandbaseurl)/share/palette%3B$(userpath)/config/standard.soh false false true true false false true false false false $(brandbaseurl)/share/palette%3B$(userpath)/config/standard.soe false 7 4 false 0 low-resolution false true false 1 1 true 53 Conectores de extremidades de bambú para estructuras exploración de un sistema de incrustación en la pared interna del tallo r EsumEn Este estudio busca fomentar el uso del bambú en el sector de la construcción e innovar en el campo de las uniones desarrollando nuevas alternativas de conecto- res para la especie Guadua angustifolia. De forma to- talmente distinta a las técnicas actuales, se explora las posibilidades de conectarse a la parte interna del tallo de bambú ejerciendo una fuerza mecánica en su pared, y evitar cortes especiales, perforaciones y el uso de cola o cemento. El resultado del estudio es una propuesta de patente de un dispositivo para conectar las extremi- dades de los bambúes con un sistema de expansión que penetra adentro del tallo y permite regular la dimen- sión de la pieza. Palabras clave: construcción, bambú, uniones, conector a BstraCt This study seeks to encourage the use of bamboo in the construction sector and innovate in the field of unions by developing new alternatives for connectors for the Guadua angustifolia species. In a completely different way to the current techniques, we explore the possibilities of connecting to the internal part of the bamboo stem by exerting a mechanical force on its wall, and avoiding special cuts, perforations and the use of glue or cement. The result of the study is a patent proposal for a device to connect the extremities of the bamboos with an expansion system that penetrates inside the stem and allows to regulate the dimension of the piece. Key words: construction, bamboo, unions, connector Yann Barnet 1 Faouzi Jabrane 1 1 Universidad de San Martín de Porres, Perú ybarnetc@usmp.pe Connectors of bamboo extremities for structures exploration of an increase system in the internal wall of the stem Recibido: setiembre 11 del 2018 | Revisado: noviembre 16 del 2018 | Aceptado: diciembre 20 del 2018 https://doi.org/10.24265/campus.2019.v24n27.05 | Campus | Lima, perú | V. XXIV | N. 27 | PP. 53-66 | enero-junio | 2018 | issn 1812-6049 © Los autores. Este artículo es publicado por la Revista Campus de la Facultad de Ingeniería y Arquitectura de la Universidad de San Martín de Porres. Este artículo se distribuye en los términos de la Licencia Creative Commons Atribución No-comercial – Compartir-Igual 4.0 Internacional (https://creativecommons.org/licenses/ CC-BY), que permite el uso no comercial, distribución y reproducción en cualquier medio siempre que la obra original sea debidamente citada. Para uso comercial contactar a: revistacampus@usmp.pe. 54 Introducción Ventajas del uso estructural del bambú en la construcción El bambú no es un árbol, sino una gra- mínea (familia Poaceae) que se puede asi- milar a un pasto gigante. Está caracteriza- do por la subfamilia de los Bambusoideae que cuenta con más de 1600 especies al - rededor del mundo (Vorontsova, y otros, 2016) concentradas, principalmente, en las zonas ecuatoriales y tropicales. La tribu Bambuseae, con unas 800 especies (Clark, 2006) es de particular interés para el uso en la construcción. En las regiones donde se encuentra existen usos milena - rios en la arquitectura tradicional, sacan- do provecho de este recurso altamente re- novable, reconocido como “eco-material” (Morán Ubedia, 2014) y con excelentes características físico-mecánicas. Al ser un perfil natural muy ligero con una gran flexibilidad, el bambú ha probado ser un material idóneo para las zonas con riesgo sísmico. Tanto en Co - lombia, como en el Perú o en Ecuador, los recientes eventos sísmicos de gran magnitud evidenciaron el buen com - portamiento estructural de las construc- ciones en bambú, sobre todo cuando las uniones son dúctiles (Kaminski, Truji - llo, & Lawrence, 2016). En cada uno de esos países, se pro- mulgaron normas de construcción afi- nes que definen los métodos de diseño estructural y las buenas prácticas cons - tructivas. 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UNAS LIMITACIONES ACTUALES EN EL CAMPO DE LA CONSTRUC- CIÓN Pese a sus numerosas bondades, el bambú sufre de múltiples limitaciones para ser empleado, masivamente, como técnica constructiva. Además de una ne - cesidad de difusión de buenas prácticas, y de caracterización físico mecánicas de numeras especies susceptibles de ser utili - zadas a fines estructurales, Janssen resalta que una de las principales limitaciones ac - tuales radica en las uniones: “En madera o acero sabemos, después de un siglo de inves - tigación, las propiedades de todos los tipos de sujetadores (clavos, tornillos, pernos, etc.) y con estos datos se pueden calcular los pará - metros para cualquier unión. Pero en bam- bú, todavía tenemos que recorrer un largo camino.” (Janssen, 2000). En la actualidad, las guías y códigos ela- borados en unos pocos países del mundo solo sustentan un uso bastante específico y limitado del bambú. Es importante re - calcar que el bambú, a pesar de sus cua- lidades, es un material exigente cuyas ca- racterísticas tienen que ser perfectamente controladas cuando está asumiendo un | Campus | V. XXIV | No. 27 | enero-junio | 2019 | Yann Barnet - Faouzi Jabrane Figura1. Auditorio de bambú Voces por el Cli- ma (Barnet & Jabrane, 2017) – Lima, PERÚ - Diseño: IVUC, USMP 55 papel estructural de primer orden. Por su geometría cilíndrica y hueca, los tallos de bambú son sujetos al aplastamiento y ofrecen poca materia para los sujetadores. Además, por ser un perfil natural, ningún tallo es totalmente recto, la distancia entre los nudos varía, así como su sección (forma irregular, diámetros y espesores variables). Por todas esas razones, la estandarización de piezas es compleja y construir con bam - bú requiere de un saber hacer elaborado en el cual las uniones son un punto clave. OBJETIVOS DEL ESTUDIO Hoy en día los tiempos y el costo de la mano de obra toman siempre más rele - vancia en la construcción, por lo cual las técnicas necesitan ser cada vez más ágil. Para sacar ventajas de todas las bondades del bambú, el desafío es resolver unas limi - taciones que lo segregan a un uso artesa- nal. El presente estudio está enmarcado en el proyecto de I+D+i “Diseño de uniones y componentes industrializados para optimizar la construcción con bambú – Guadua” cuyo principal objetivo es apor - tar soluciones técnicas concretas para au- mentar la empleabilidad de la guadua sin pasar por procesos complejos y costosos de transformación. De forma específica, este estudio busca elaborar un nuevo método de conexión de las extremidades de los ta - llos de bambú, ya que resultan ser un pun- to crítico en el desarrollo de estructuras. Métodos y materiales El estudio se basa, principalmente, en el desarrollo y evaluación de prototipos en un proceso reiterativo de prueba-error que permite descartar métodos y acercar- se a soluciones viables. De forma general, se siguió las siguientes etapas: 1. 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Diseño y fabricación de prototipos previsionales (uso de impresión 3D) con el fin de realizar pruebas volumé- tricas y ensayos funcionales. 3. Optimización de los prototipos y fa- bricación de modelos de prueba. 4. Pruebas funcionales con medición de tiempo. 5. Exploración del comportamiento es- tructural del conector a través ensa- yos de laboratorio. El principal inte- rrogante de la solución planteada es su nivel de cohesión con el bambú. Por lo tanto, se realizaron principal- mente ensayos a tracción. Figura 2. Esquema de los ensayos a tracción. 1- Guadua angustifolia, 2-nudo del bam- bú, 3-soporte fijo, 4- tubo de acero lleno de 25mm de diámetro que perfora el tallo de bambú, 5-conector de extremidad ensayado, 6- varilla roscada galvanizada de 12mm de diámetro, 7-fuerza aplicada El bambú utilizado para los ensayos es de la especie Guadua angustifolia. Son ta - llos secos, pero no preservados. Se trató de escoger tallos maduros, pero sin tener | Campus | V. XXIV | No. 27 | enero-junio | 2019 | Conectores de extremidades de bambú para estructuras exploración de un sistema de incrustación en la pared interna del tallo 56 garantías sobre su edad exacta. Diámetros exteriores utilizados: entre 90 y 120 m. m. Resultados y discusión Vigilancia tecnológica para elaborar estrategias de diseño En el mundo, el proceso actual para realizar uniones entre piezas de bambú es, principalmente, artesanal. Se realizan cortes especiales (boca de pescado, pico de flauta) que permiten el encaje entre la forma cilíndrica e irregular de los ta- llos de bambú con herramientas manua- les (sierra, formón, martillo) o eléctricas como la caladora, el taladro con cierra de copa o la amoladora. Para fijar la unión se utilizan diversas técnicas, pero las princi- pales son el uso de pernos pasantes, so- gas, tarugos de madera o bambú. Figura 4. 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Unión perpendicular entre dos ta- llos de bambú con pernos pasantes. Corte Boca de pez. Sacado del Reglamento Nacio- nal de Construcción del Perú (Ministerio de Vivienda, Urbanismo y Construcción, 2012) Para las uniones que reciben esfuerzos im- portantes y son sujetas al aplastamiento del tallo existe la técnica del relleno con un mortero de los entrenudos expuestos. Se realiza perforando el bambú con sierra de copa y llenando manualmente con un embudo el interior del entrenudo. Ob- viamente, una vez efectuado este relleno, esas uniones no son desmontables. Figura 5. Relleno de canutos con cemento. Del Manual de construcción “Construir con bambú” (Morán Ubidia, 2015) Si bien esas técnicas son versátiles y re- quieren de conectores de bajo costo, de- mandan un saber-hacer especial y bastan- te tiempo. Para realizar una unión típica entre dos bambúes sobre el mismo plano, medimos que un especialista se demora unos 21 minutos: cinco minutos para escoger la caña con el buen dimensio- namiento de entrenudos requerido, seis minutos para realizar el corte especial en boca de pescado o pico de flauta (según el ángulo deseado) y ocho minutos para asegurar los dos bambúes entre sí con un sistema de pernos pasantes. Según el costo horario de carpinteros especialistas, cada unión cuesta seis soles en mano de obra. Los materiales utilizados (varilla roscada con gancho, tuercas y arandelas, repuestos) cuestan un aproximado de tres soles. Por lo tanto, una unión tradicio- nal cuesta un aproximado de nueve soles (1$=3.3 soles). Por razones de resisten- cia, esas uniones tienen que ser ubicadas | Campus | V. XXIV | No. 27 | enero-junio | 2019 | Yann Barnet - Faouzi Jabrane 57 a proximidad de los nudos del bambú, lo que genera un desperdicio importan- te que se puede estimar a un mínimo de 25% de los tallos, representando un so- brecosto importante. En varios partes del mundo, se han ela- borado métodos alternativos para facilitar la conexión de los extremos de los tallos de bambú. A continuación, selecciona - mos unos ejemplos puestos en práctica que consideramos representativos y de interés: Conexión con piezas de madera tor- nada encoladas en la parte interna del bambú Conexión exterior con platinas metáli- /9j/7gAOQWRvYmUAZAAAAAAB/9sAxQASDg4ODg4VDg4VGxISEhQaGRYWGRoeFxkhIRweIx4j ISwjHiMhLjMzMy4hPkJCQkI+REREREREREREREREREREARQRERURFBMRFRkYExQTFh0iGhoa HSEbHSIdGyEjICMkJCMgIyQkJCQkJCQsLCwsLCw0NDQ0ND09PT1EREREREQCFBERFREUExEV GRgTFBMWHSIaGhodIRsdIh0bISMgIyQkIyAjJCQkJCQkJCwsLCwsLDQ0NDQ0PT09PURERERE RP/dAAQAEv/AABEIASMBGAMAIgABEQECEQL/xAGiAAABBQEAAgMAAAAAAAAAAAAGAAECBAUD BwgJCgsBAAIDAAEFAQAAAAAAAAAAAAADAgQFAQYHCAkKCxAAAQIDBAIEBQQ+SwAAAAAAAQAC AxEhBBIxQVFhBRMicTKBobHBIyRCkQYHCAkKFBUWFxgZGiUmJygpKjM0NTY3ODk6Q0RFRkdI SUpSU1RVVldYWVpiY2RlZmdoaWpyc3R1dnd40fDxeXqCg4SFhoeIiYqSk5SVlpeYmZqio6Sl pqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2drh4uPk5ebn6Onq8vP09fb3+Pn6EQAB AgEDAQMEkwAAAAAAAAABAAIRAyExEgQiQQUTMlEGBwgJChQVFhcYGRojJCUmJygpKjM0NTY3 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Conexión con piezas de madera de Villalobos (Arce-Villalobos, 1993 ) Se realiza unos cortes longitudinales en la extremidad del tallo y se lija la par - te interna del bambú donde se va a in- troducir un cilindro de madera tornada. La adhesión entre el bambú y la madera se realiza con cola, utilizando zunchos metálicos para asegurar la presión. Lue - go, se utilizan conectores y técnicas em- pleadas para la madera para realizar las conexiones. Figura 7. Conexión desarrollada por miem- bros de Fundeguadua- Colombia Se emplean platinas metálicas fijadas a los tallos de bambú con pernos pasantes. Dichas platinas están diseñadas para ser fácilmente ensambladas (sistema de arti- culación). Conexión con pieza metálica embebi- da en concreto Figura 8. Conexión desarrollada por Markus Heinsdorff. (Heinsdorff, y otros, 2010) Figura 9. Conexión desarrollada por Markus Heinsdorff. (Heinsdorff, y otros, 2010) | Campus | V. XXIV | No. 27 | enero-junio | 2019 | Conectores de extremidades de bambú para estructuras exploración de un sistema de incrustación en la pared interna del tallo 58 Se embebe una pieza metálica dentro del canuto con una mezcla de mortero. Puede ser platinas, perfiles o varillas en función al sistema de conexión deseado y la complejidad de los encuentros. Conexión con pieza metálica embebi- da en concreto y extremidad cónica del tallo Como los ejemplos anteriores, existen también métodos que emplean piezas metálicas diseñadas y fabricadas de for- ma específica para responder a las ne- cesidades de un diseño. Si bien pueden presentar un buen desempeño estructu- ral y facilitar la realización de uniones en la obra, no son productos fabricados en serie y resultan muy onerosos para com- petir económicamente con el método tradicional. Estrategias de diseño del conector • Funcionalidad Como varias propuestas actuales, se plantea que la extremidad del conector sea una varilla roscada, ya que permite acoplarse luego a toda una serie de co- nectores. Además, se propone que esta varilla pueda ser móvil (“enroscable”) para regular ligeramente (mínimo 2cm) la longitud de la pieza, lo que dará una gran ventaja funcional versus los méto- dos existentes. • Sistema de montaje El conector pretende ser muy práctico y rápido de montar y eventualmente des- montar. Por lo tanto, tiene que prescindir de cualquier tipo de relleno de concreto o colas. La idea es utilizar un sistema de ex- pansión que se adhiere a la parte interna del culmo de bambú y permita adaptarse a las irregularidades de las secciones de los bambúes. Como objetivo, se plantea diseñar un conector para bambúes con un diámetro exterior de 10cm a 12cm. • Comportamiento estructural Es difícil comparar el desempeño de los métodos de uniones porque varios no han sido ensayados en laboratorio. 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Proceso de fabricación de una extremidad cónica. Fotografía obtenida de la página www.bambutigre.it/strutture-in- bambu Figura 11. Conectores de Kool Bamboo, ob- tenida de su blog http://koolbamboo.blogs- pot.com A la diferencia de la técnica anterior, se realizan cortes longitudinales en la ex- tremidad del tallo con el propósito de crear una forma cónica asegurada por un anillo de metal. Eso permite aumentar la resistencia a la tracción de la unión, es- tandarizar el tamaño del diámetro final de la pieza de bambú y ofrecer un acaba- do interesante. | Campus | V. XXIV | No. 27 | enero-junio | 2019 | Yann Barnet - Faouzi Jabrane 59 mezcla de concreto resisten un promedio de 1500 Kg (Vavylousakis, 2016). Con bastante seguridad, podemos suponer que el método con extremidad cónica tendrá un mejor desempeño. El conector planteado tendría que ofrecer una resis- tencia similar a la propuesta con concreto pero más dúctil, lo que corresponde me- jor al comportamiento del bambú. • Costos de fabricación Para ser competitivo con los otros mé- todos actuales, la estrategia es emplear piezas disponibles en el mercado con la menor cantidad posible de transforma- ción, explorar métodos de fabricación digital y procesos industriales de fabrica- ción masiva. Patente existente Hasta el momento, el único método que encontramos con un sistema de expan - sión es una patente china (文献, 2013), que describe un conector de extremidad de tallo de bambú compuesto de piezas móviles que giran sobre un eje y presionan la pared del bambú, empleando un cono en forma de cuña situado en un mango redondo, el cual está encapsulado en un mango exterior atornillado al bambú. No encontramos pruebas de uso de esa invención y el dispositivo presenta varias desventajas técnicas: 1.El tubo de sección fija en el cual tienen que encajar los bambúes limita el uso a tallos con un diámetro determinado. 2. La necesidad de realizar incisiones y perforaciones pre- cisas en el bambú, lo que debilita la pieza y dificulta el trabajo. Se requiere pega- mento. 3. No se puede regular la dimen- sión de la pieza. 4. Resulta complejo y costoso por ser compuesto de una docena de piezas diferentes. Diseño y evaluación funcional de prototipos Con el objetivo de simplificar el siste- ma y poder adaptarse a una cierta varia- ción de diámetros de bambú se diseñó un conector basados en un taco “expansor” (2) que comprime tres cuñas (3) sobre la pared interna del bambú. Un disco de compresión (1) transmite esas cargas, y a la vez sirve de guía para el desplazamien- to radial de las cuñas. Una varilla roscada (4) atraviesa el conector y tuercas permi- ten accionar el sistema de expansión. 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Esquemas de la patente nº CN 203284890 - El “2” representa el bambú. Las otras piezas son metálicas. DISEÑO Y EVALUACIÓN FUNCIONAL DE PROTOTIPOS Con el objetivo de simplificar el sistema y poder adaptarse a una cierta variación de diámetros de bambú se diseñó un conector basados en un taco “expansor” (2) que comprime 3 cuñas (3) sobre la pared interna del bambú. Un disco de compresión (1) transmite esas cargas, y a la vez sirve de guía para el desplazamiento radial de las cuñas. Una varilla roscada (4) atraviesa el conector y tuercas permiten accionar el sistema de expansión. Un zuncho (5) evita la deformación y rotura del bambú. Figura 13. Diseño preliminar del conector El primer prototipo se fabricó con pieza de madera. Con dos tipos de cuñas, unas con dientes y otras con recubrimiento de lija industrial. Figura 14. Prototipo I: madera, hecho a mano Figura 15. Prototipo de cuña de madera con dientes Este primer prototipo demostró el buen funcionamiento de la geometría general, pero se detectó la necesidad de solidarizar las piezas entre sí para el montaje dentro del bambú y guiar el desplazamiento de las piezas. Por lo tanto, se añadió canales en forma de cola de milano que conectan las piezas en el siguiente prototipo que se fabricó con impresora 3D ya que la complejidad de los volúmenes hacía muy tediosa su fabricación en madera. 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Diseño preliminar del conector El primer prototipo se fabricó con pieza de madera. Con dos tipos de cu- 3 | Campus | V. XXIV | No. 27 | enero-junio | 2019 | Conectores de extremidades de bambú para estructuras exploración de un sistema de incrustación en la pared interna del tallo 60 ñas, unas con dientes y otras con recubri- miento de lija industrial. Figura 17. Prototipo II en bambú abierto Posteriormente se han ido explorando opciones para aumentar el nivel de fric- ción entre el bambú y las piezas de plás- tico. 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DISEÑO Y EVALUACIÓN FUNCIONAL DE PROTOTIPOS Con el objetivo de simplificar el sistema y poder adaptarse a una cierta variación de diámetros de bambú se diseñó un conector basados en un taco “expansor” (2) que comprime 3 cuñas (3) sobre la pared interna del bambú. Un disco de compresión (1) transmite esas cargas, y a la vez sirve de guía para el desplazamiento radial de las cuñas. Una varilla roscada (4) atraviesa el conector y tuercas permiten accionar el sistema de expansión. Un zuncho (5) evita la deformación y rotura del bambú. Figura 13. Diseño preliminar del conector El primer prototipo se fabricó con pieza de madera. Con dos tipos de cuñas, unas con dientes y otras con recubrimiento de lija industrial. Figura 14. Prototipo I: madera, hecho a mano Figura 15. Prototipo de cuña de madera con dientes Este primer prototipo demostró el buen funcionamiento de la geometría general, pero se detectó la necesidad de solidarizar las piezas entre sí para el montaje dentro del bambú y guiar el desplazamiento de las piezas. Por lo tanto, se añadió canales en forma de cola de milano que conectan las piezas en el siguiente prototipo que se fabricó con impresora 3D ya que la complejidad de los volúmenes hacía muy tediosa su fabricación en madera. 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Un disco de compresión (1) transmite esas cargas, y a la vez sirve de guía para el desplazamiento radial de las cuñas. Una varilla roscada (4) atraviesa el conector y tuercas permiten accionar el sistema de expansión. Un zuncho (5) evita la deformación y rotura del bambú. Figura 13. Diseño preliminar del conector El primer prototipo se fabricó con pieza de madera. Con dos tipos de cuñas, unas con dientes y otras con recubrimiento de lija industrial. Figura 14. Prototipo I: madera, hecho a mano Figura 15. Prototipo de cuña de madera con dientes Este primer prototipo demostró el buen funcionamiento de la geometría general, pero se detectó la necesidad de solidarizar las piezas entre sí para el montaje dentro del bambú y guiar el desplazamiento de las piezas. Por lo tanto, se añadió canales en forma de cola de milano que conectan las piezas en el siguiente prototipo que se fabricó con impresora 3D ya que la complejidad de los volúmenes hacía muy tediosa su fabricación en madera. 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Prototipo de cuña de madera con dientes Este primer prototipo demostró el buen funcionamiento de la geometría general, pero se detectó la necesidad de solidarizar las piezas entre sí para el mon- taje dentro del bambú y guiar el despla- zamiento de las piezas. Por lo tanto, se añadió canales en forma de cola de mila- no que conectan las piezas en el siguiente prototipo que se fabricó con impresora 3D ya que la complejidad de los volú- menes hacía muy tediosa su fabricación en madera. Se pudo comprobar que las guías eran elementos muy útiles para una efectiva instalación en el bambú. Figura 14. Prototipo I: madera, hecho a mano 3 Figura 16. Prototipo II instalado: Plástico con impresora 3D, con guías tipo cola de milano mejoradas Figura 18. Prototipo III: Plástico con impre- sora 3D, con cuñas con dientes Este prototipo demostró un buen des- empeño práctico en cuanto a su insta- lación ya que la colocación de la unión no supera cuatro minutos, incluyendo la colocación de un zuncho. Para la colo- cación de un segundo zuncho, se añade 2:30min. Figura 16. Prototipo II instalado: Plástico con impresora 3D, con guías tipo cola de milano mejoradas Figura 17. Prototipo II en bambú abierto Posteriormente se han ido explorando opciones para aumentar el nivel de fricción entre el bambú y las piezas de plástico. En un prototipo III, se incorporó dientes en forma de pirámide capaz de incrustarse en la parte interna blanda del bambú. Figura 18. Prototipo III: Plástico con impresora 3D, con cuñas con dientes Este prototipo demostró un buen desempeño práctico en cuanto a su instalación ya que la colocación de la unión no supera cuatro minutos, incluyendo la colocación de un zuncho. Para la colocación de un segundo zuncho, se añade 2:30min. Figura 19. 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XXIV | No. 27 | enero-junio | 2019 | Yann Barnet - Faouzi Jabrane 61 Figura 14. Prototipo I: madera, hecho a mano /9j/7gAOQWRvYmUAZAAAAAAB/9sAxQASDg4ODg4VDg4VGxISEhQaGRYWGRoeFxkhIRweIx4j ISwjHiMhLjMzMy4hPkJCQkI+REREREREREREREREREREARQRERURFBMRFRkYExQTFh0iGhoa HSEbHSIdGyEjICMkJCMgIyQkJCQkJCQsLCwsLCw0NDQ0ND09PT1EREREREQCFBERFREUExEV GRgTFBMWHSIaGhodIRsdIh0bISMgIyQkIyAjJCQkJCQkJCwsLCwsLDQ0NDQ0PT09PURERERE RP/dAAQAEv/AABEIAIgBHAMAIgABEQECEQL/xAGiAAADAQACAQUAAAAAAAAAAAAAAQUCAwYE BwgJCgsBAQACAQMFAAAAAAAAAAAAAAABAwIEBQYHCAkKCxAAAQIAAgYEDIcAAAAAAAAAAAEC AxEEBRIhUWETMUFxBgcICQoUFSIkQpHBFhcYGRojJSYnKCkqMjM0NTY3ODk6Q0RFRkdISUpS U1RVVldYWVpiY2RlZmdoaWpyc3R1dnd4eXqBgoOEhYaHiImKkpOUlZaXmJmaoaKjpKWmp6ip qrGys7S1tre4ubrCw8TFxsfIycrR0tPU1dbX2Nna4eLj5OXm5+jp6vDx8vP09fb3+Pn6EQAB AAADAgOZAAAAAAAAAAAAAQIxAxEEBQYHCAkKEhMUFRYXGBkaISIjJCUmJygpKjIzNDU2Nzg5 OkFCQ0RFRkdISUpRUlNUVVZXWFlaYWJjZGVmZ2hpanFyc3R1dnd4eXqBgoOEhYaHiImKkZKT lJWWl5iZmqGio6SlpqeoqaqxsrO0tba3uLm6wcLDxMXGx8jJytHS09TV1tfY2drh4uPk5ebn 6Onq8PHy8/T19vf4+fr/2gAMAwAAARECEQA/ALoxAAMBDAGAgAGMyMAYCAAYCAAYCAkDAQAD AQAAACAGEYgAHGAgAGAgAAAEAMBAAMBAAMBCAGAgAP/QuDEIA0BmMcYAwFGABoBAAMYgAGAh gAAAAACAAYCAAAARIGIAAAAAAAAQAxAAAAAgBgIABiAAAAAAP//RtiAAAGIABgAADAQwBjFE oTwBgAAAAAAAAAAAAACAYgAAAAAQxAAAAAAAAACGIAAAAAEAADAQAH//0rQAAAAARAAOIaIB ACqBVirgAAaLGMxFM1xqOgAOMIxJdVHEAOvCIIhxAGa8Y1QylAkAAwAEAAAAlVESNZyJVmXv axqvesTWpGq0kOuSZLCFktytS3YJFnNo0FUhMmQSkpUqKYqSRLeR4KNIO+1yUJzbqToWXUlv wrRsGlJJpbqp4EU5BT4ipFOijNC1BIghNQh5aSfNYWPVKSxJwxlknQ8KkdSPjrUmlMzMdXVH FCwKos3BznJw4XkrpoeUkkSQlVCv3UvgnI2TpMbVQz91R82eFBwiQk5Zzkq0NudFOSeq1gc4 XIFJkuZMg8JOa9M9JFw6RHlQFhBAvWZhWTK0WrHwyxEGYV0990E2AYjpuKelUSgmRQhpCKRB GGHcoGSpHkjCp6OWhVLdFOY6ciqixpOVFq0qylIkt4WDVGSTfYyqmrmTwTJBPIXMYIrNco5y +BiDhGQrEhINyOatUqGzMwEAxAH/07QwAASDn1gkq4jRACeE8YACnhXjjrEFFsKgGVhEScJI SNZxyTKBMohAEkdWanmYpmqqhxRkg0E8SNU0iRAAgrmGqxHEjo4REAOURpTJIEJRiUAnS5er ZCVEuZ7UWuq7sdbcybSKOJDsMuluGa2i+O6IQW0qBUtFS5ZqHAsAtY9U+leJYKEamFi8OeSp hymC9EzXHCjYdKp045IJsJGqvVFrgV0SIiT1NQbVaiq+tSqJIOGEbAq6NXI10c85Wo1EVyT5 1XVnA+R2OVVRViWqOaBgqig1RqzTlnpXhFcuVDnOFYeJZ7VGkksrUUIOEmlmHznpVocsy1ax OGJBip4Na2KvQaQsGsVvINYJlBDKyPBqlVw5DmBTlXJjoCHSCVY4KFWJUrEVapTsZ02AglRz IODjVVckVeqncixIi5kUJAVLRBzoIyEYCAzMD//UuDEMA4nrMuRaJpHRihGo5FRTxkhHQSxQ lVWOQIg8xAn1pxMhEckaLGciOIBqIcRlHGowDSINUjMxjmgBRRVwkSI1GEYAAqxHG+GYzCTk SlWnjukl71mYFuwqCVxyw0K1iT6usStMyOjlVXvq3VlBDjZAqizcIs048pjYgggDkEMRJAjK mhAEWXarMMSmqkZEmkjScpflxAufAVI1I1g1jWKhWkJqTppCtMqWJVDCtVJ60DhdNuWJs5K1 Ty3zkjrkONWoqxxVtcYLjNecbZmDRa1VrVqwRVWrNug3LVGFatVECQiHGrZ6Cn0FBVnRAGIW CSEt9s56VSmYOFmrcfOenDnKkaVSGaja5yPVLeQA3P5oI1n1s801iqs+ccrWNbV1ZAPLlTIy wkkpDOSdBpHsNUh2A8GVsGsHAIqpEr1j2CsPOLkiC5CklKdFejSAABmRif/VuDEAAKkZwvZR SNDnCJFAPBWASONiq1QjkllVE9Dy1gzCsVAuBwWtQjcJQfNoNJNStYt1OaJQipBcScVrrcqL dUC11ayDW6+ocsSUBkLgcNrEkOwiyLYFXmxTMkvwm+JPpQPIiWgaRqqFwPHbIzEnut5Tma1E nNSJDkSDom0REJIMNZWqcggAAQAAIAAAy5EVIlIcmSsfAqsLIyTTFWNWVqV1IugQigvJQRXH UVck5aYlSOelA7JJEgSPJE9yTLsrNnKTIeVEMxq1CqPSsSqUwRSooTUsQTIIzQmorkSJRq5q 14QrIeCnQsG5tek44WvRVnzlMTI5JpDKubHTFGkYTqtSCRzQkco0mYzkg4GFhXX1wbn00ScA YRy1p5UiSO6SYVEbhBsU06srjyICU8I9ZqSFmW5VbPW6liCgYOBYjINEa1KxDNKkhqJgmToK IOc2xqNRESqQ0AFhUAwEAf/WtjEAAxiAAYxAAOJAmUEOMAJlBzKCjCMA1OAUYADjCMQAAAAA AAAACAABAMQAgGIAStRZypGcD5DkWEWN8ExdioeQIErzxFlbIS41N2CNLuJJWyEmNScP4J5g ELkJAgF6MhRPHbIUiswjBMTYqHMjWpORIkNASuC8QAAIABgAAAAB/9e2AAAMBDAAAAAYAAAA AEgYABAAAAkAAAAAAAAAAAAIYgAAAIAgAAAAAAEAAAAAAAAAAAIAJB//2Q== 3 Figura 16. Prototipo II instalado: Plástico con impresora 3D, con guías tipo cola de milano mejoradas Figura 17. Prototipo II en bambú abierto Posteriormente se han ido explorando opciones para aumentar el nivel de fricción entre el bambú y las piezas de plástico. En un prototipo III, se incorporó dientes en forma de pirámide capaz de incrustarse en la parte interna blanda del bambú. Figura 18. Prototipo III: Plástico con impresora 3D, con cuñas con dientes Este prototipo demostró un buen desempeño práctico en cuanto a su instalación ya que la colocación de la unión no supera cuatro minutos, incluyendo la colocación de un zuncho. Para la colocación de un segundo zuncho, se añade 2:30min. Figura 19. 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Proceso de montaje del prototipo de polietileno En base a ese modelo, se fabricó un modelo de polietileno esculpido con fre- sadoras CNC, que constituye una repre- sentación muy similar a lo que se con- seguiría con un sistema de fabricación industrial en base a inyección en moldes, método que permitiría llegar a un costo de producción accesible. Para el caso es- pecífico del disco de compresión, se fa- bricaron también prototipos en madera densa con una fresadora CNC, con el propósito de ofrecer alternativas de ma- teriales y lenguaje arquitectónico. Figura 20. Discos de compresión en madera densa y polietileno Ensayos de prototipos bajo esfuerzos de tracción Por las características del conector de- sarrollado, la mayor incógnita es su com- portamiento y resistencia cuando está so- metido a tracción, ya que el esfuerzo de compresión resulta ser una transmisión sencilla de cargas de toda la superficie de la sección del tallo de bambú hacia el disco de compresión que a su vez trans- mite las cargas a la arandela, el perno y la varilla roscada. A cambio cuando está sometida a tracción el sistema “expansor” aplica un esfuerzo perpendicular a las fi- bras hacia el exterior del tallo, lo que agu- diza la incrustación de los dientes de las cuñas dentro del bambú y provoca una deformación del tallo. Resultados del modelo con tres cuñas Los primeros ensayos presentaron un comportamiento no esperado a partir de cargas superiores a 200kg: a medida que se aumenta la fuerza de tracción, el “taco expansor” ha ido bajando y desplazando las cuñas hacia el exterior, provocando una deformación de la sección del bam- bú hacia una forma casi triangular, aun con la colocación de dos zunchos metá- licos. Esta importante deformación dio la oportunidad al taco extensor chocar y empujar el disco de compresión como se nota en la siguiente foto. Lo que resultó satisfactorio fue la adherencia de las cu- ñas con el bambú, ya que no se despla- zaron incluso después de la fisuración del bambú. | Campus | V. XXIV | No. 27 | enero-junio | 2019 | Conectores de extremidades de bambú para estructuras exploración de un sistema de incrustación en la pared interna del tallo 62 Figura 21. Desplazamiento con una fuerza aproximada de 400kg Resultados del modelo con seis cuñas Para evitar la deformación triangular evidenciada, se optó por fabricar nuevos prototipos con seis cuñas. Las pruebas realizadas demostraron un cambio radical del comportamiento de la unión: los desplazamientos empezaron alrededor de 400kg de carga, y las primeras fallas (fisura ligera) del bambú surgieron superando una tracción de 650kg. Tales fisuras se produjeron primero en el lugar de la grampa de los zunchos. En los seis ensayos realizados, el colapso de la unión siempre ocurrió con una carga mayor a 1000 kg. La carga más elevada de rotura final fue 1750 kg, que coincidió con la rotura del zuncho más cercano de la extremidad del bambú. El desplazamiento a la rotura estuvo comprendido entre 7mm y 20mm, lo que es una variación grande. Figura 22. Primera falla: fisura en el lugar de la grampa del zuncho (carga ≥ 650kg) Figura 23. Rotura final: fisuras múltiples del bambú y apertura del zuncho en la zona de la grampa (carga ≥ 1000kg) Se probaron dos tipos de cuñas, unas con 18x5 hiladas de dientes, y unas con 3x18 hiladas de dientes. 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Desplazamiento con una fuerza aproximada de 400kg Resultados del modelo con seis cuñas Para evitar la deformación triangular evidenciada, se optó por fabricar nuevos prototipos con seis cuñas. Las pruebas realizadas demostraron un cambio radi- cal del comportamiento de la unión: los desplazamientos empezaron alrededor de 400kg de carga, y las primeras fallas (fisu- ra ligera) del bambú surgieron superan- do una tracción de 650kg. Tales fisuras se produjeron primero en el lugar de la grampa de los zunchos. En los seis en- sayos realizados, el colapso de la unión siempre ocurrió con una carga mayor a 1000 kg. La carga más elevada de rotu- ra final fue 1750 kg, que coincidió con la rotura del zuncho más cercano de la extremidad del bambú. El desplazamien- to a la rotura estuvo comprendido entre 7mm y 20mm, lo que es una variación grande. Figura 21. Desplazamiento con una fuerza aproximada de 400kg Resultados del modelo con seis cuñas Para evitar la deformación triangular evidenciada, se optó por fabricar nuevos prototipos con seis cuñas. Las pruebas realizadas demostraron un cambio radical del comportamiento de la unión: los desplazamientos empezaron alrededor de 400kg de carga, y las primeras fallas (fisura ligera) del bambú surgieron superando una tracción de 650kg. Tales fisuras se produjeron primero en el lugar de la grampa de los zunchos. En los seis ensayos realizados, el colapso de la unión siempre ocurrió con una carga mayor a 1000 kg. La carga más elevada de rotura final fue 1750 kg, que coincidió con la rotura del zuncho más cercano de la extremidad del bambú. El desplazamiento a la rotura estuvo comprendido entre 7mm y 20mm, lo que es una variación grande. Figura 22. Primera falla: fisura en el lugar de la grampa del zuncho (carga ≥ 650kg) Figura 23. Rotura final: fisuras múltiples del bambú y apertura del zuncho en la zona de la grampa (carga ≥ 1000kg) Se probaron dos tipos de cuñas, unas con 18x5 hiladas de dientes, y unas con 3x18 hiladas de dientes. 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Desplazamiento con una fuerza aproximada de 400kg Resultados del modelo con seis cuñas Para evitar la deformación triangular evidenciada, se optó por fabricar nuevos prototipos con seis cuñas. Las pruebas realizadas demostraron un cambio radical del comportamiento de la unión: los desplazamientos empezaron alrededor de 400kg de carga, y las primeras fallas (fisura ligera) del bambú surgieron superando una tracción de 650kg. Tales fisuras se produjeron primero en el lugar de la grampa de los zunchos. En los seis ensayos realizados, el colapso de la unión siempre ocurrió con una carga mayor a 1000 kg. La carga más elevada de rotura final fue 1750 kg, que coincidió con la rotura del zuncho más cercano de la extremidad del bambú. El desplazamiento a la rotura estuvo comprendido entre 7mm y 20mm, lo que es una variación grande. Figura 22. Primera falla: fisura en el lugar de la grampa del zuncho (carga ≥ 650kg) Figura 23. Rotura final: fisuras múltiples del bambú y apertura del zuncho en la zona de la grampa (carga ≥ 1000kg) Se probaron dos tipos de cuñas, unas con 18x5 hiladas de dientes, y unas con 3x18 hiladas de dientes. 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Primera falla: fisura en el lugar de la grampa del zuncho (carga ≥ 650kg) Figura 23. Rotura final: fisuras múltiples del bambú y apertura del zuncho en la zona de la grampa (carga ≥ 1000kg) Se probaron dos tipos de cuñas, unas con 18x5 hiladas de dientes, y otras con 3x18 hiladas de dientes. El promedio de resistencia de las probetas con más dien- tes es un poco superior, pero se necesi- taría más ensayos para realmente sacar conclusiones detalladas al respecto. Lo interesante es que, en ninguno de los ensayos, se produjo un deslizamiento de los dientes de plástico sobre el bambú, lo que comprueba que un sistema mecá- nico de incrustación en la parte interna de la pared de bambú es un método via- ble de conexión. realmente sacar conclusiones detalladas al respecto. Lo interesante es que, en ninguno de los ensayos, se produjo un deslizamiento de los dientes de plástico sobre el bambú, lo que comprueba que un sistema mecánico de incrustación en la parte interna de la pared de bambú es un método viable de conexión. Figura 24. Incrustaciones en el interior del bambú después del ensayo a tracción. Arriba: cuñas con 18x3 hiladas de dientes Abajo: cuñas con 18x5 hiladas de dientes Nivel de adaptabilidad a secciones variables Con esos últimos prototipos, solo se consiguió que el conector se pueda adaptar a una variabilidad de 1.5cm de diámetro interior. Para tener más amplitud de uso, se podría plantear tener varios tamaños de “taco expansor”, en función al diámetro del bambú que se quiere utilizar. Reflexión sobre los esfuerzos de corte En los casos de uniones que tienen que resistir un esfuerzo de corte perpendicular al tallo de bambú, este conector podría resultar débil porque la varilla roscada estaría sometida a un esfuerzo de flexión y podría doblarse. Ante este problema, se diseñó un disco de compresión cónico que ingrese al interior del bambú y pueda repartir este tipo de carga hacia el tallo. Sería necesario realizar ensayos al corte para evaluar el comportamiento estructural de la unión con la solución planteada. Figura 25. 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XXIV | No. 27 | enero-junio | 2019 | Yann Barnet - Faouzi Jabrane 63 realmente sacar conclusiones detalladas al respecto. Lo interesante es que, en ninguno de los ensayos, se produjo un deslizamiento de los dientes de plástico sobre el bambú, lo que comprueba que un sistema mecánico de incrustación en la parte interna de la pared de bambú es un método viable de conexión. Figura 24. Incrustaciones en el interior del bambú después del ensayo a tracción. Arriba: cuñas con 18x3 hiladas de dientes Abajo: cuñas con 18x5 hiladas de dientes Nivel de adaptabilidad a secciones variables Con esos últimos prototipos, solo se consiguió que el conector se pueda adaptar a una variabilidad de 1.5cm de diámetro interior. Para tener más amplitud de uso, se podría plantear tener varios tamaños de “taco expansor”, en función al diámetro del bambú que se quiere utilizar. Reflexión sobre los esfuerzos de corte En los casos de uniones que tienen que resistir un esfuerzo de corte perpendicular al tallo de bambú, este conector podría resultar débil porque la varilla roscada estaría sometida a un esfuerzo de flexión y podría doblarse. Ante este problema, se diseñó un disco de compresión cónico que ingrese al interior del bambú y pueda repartir este tipo de carga hacia el tallo. Sería necesario realizar ensayos al corte para evaluar el comportamiento estructural de la unión con la solución planteada. Figura 25. 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Incrustaciones en el interior del bambú después del ensayo a tracción. Arriba: cuñas con 18x3 hiladas de dientes Abajo: cuñas con 18x5 hiladas de dientes Nivel de adaptabilidad a secciones va- riables Con esos últimos prototipos, solo se consiguió que el conector se pueda adap- tar a una variabilidad de 1.5cm de diá- metro interior. Para tener más amplitud de uso, se podría plantear tener varios tamaños de “taco expansor”, en función al diámetro del bambú que se quiere uti- lizar. Reflexión sobre los esfuerzos de corte En los casos de uniones que tienen que resistir un esfuerzo de corte perpen- dicular al tallo de bambú, este conector podría resultar débil porque la varilla roscada estaría sometida a un esfuerzo de flexión y podría doblarse. Ante este pro- blema, se diseñó un disco de compresión cónico que ingrese al interior del bambú y pueda repartir este tipo de carga hacia el tallo. Sería necesario realizar ensayos al corte para evaluar el comportamiento estructural de la unión con la solución planteada. realmente sacar conclusiones detalladas al respecto. Lo interesante es que, en ninguno de los ensayos, se produjo un deslizamiento de los dientes de plástico sobre el bambú, lo que comprueba que un sistema mecánico de incrustación en la parte interna de la pared de bambú es un método viable de conexión. Figura 24. Incrustaciones en el interior del bambú después del ensayo a tracción. Arriba: cuñas con 18x3 hiladas de dientes Abajo: cuñas con 18x5 hiladas de dientes Nivel de adaptabilidad a secciones variables Con esos últimos prototipos, solo se consiguió que el conector se pueda adaptar a una variabilidad de 1.5cm de diámetro interior. Para tener más amplitud de uso, se podría plantear tener varios tamaños de “taco expansor”, en función al diámetro del bambú que se quiere utilizar. Reflexión sobre los esfuerzos de corte En los casos de uniones que tienen que resistir un esfuerzo de corte perpendicular al tallo de bambú, este conector podría resultar débil porque la varilla roscada estaría sometida a un esfuerzo de flexión y podría doblarse. Ante este problema, se diseñó un disco de compresión cónico que ingrese al interior del bambú y pueda repartir este tipo de carga hacia el tallo. Sería necesario realizar ensayos al corte para evaluar el comportamiento estructural de la unión con la solución planteada. Figura 25. 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Prototipo de conector con dis- co de compresión cónico. Conclusiones El estudio ha permitido comprobar que es viable utilizar un método de in- crustación mecánica en la parte interna de la pared de bambú, ya que no se presentó ningún deslizamiento, aun con fuerzas de tracción superior a 1500 kg. Los ensayos exploratorios del conector con sistema de expansión han demostrado un compor- tamiento estructural alentador. Trabaja de forma idónea a compresión paralela al tallo de bambú, pero presenta una de- bilidad en cuanto a los desplazamientos relativamente altos si el conector está so- metido a una fuerza de tracción alta. Por otro lado, se tendría que estudiar cuál es su comportamiento para el corte perpen- dicular al tallo de bambú. El conector desarrollado presenta las siguientes ventajas técnicas: • Es de muy fácil uso y no requiere de cortes especiales del bambú. Permi- te a una persona no experta realizar uniones entre bambúes con herra- mientas manuales de uso simple: lla- ve, zunchadora manual. • No requiere de un nudo a proximi- dad para realizar la unión, lo que per- | Campus | V. XXIV | No. 27 | enero-junio | 2019 | Conectores de extremidades de bambú para estructuras exploración de un sistema de incrustación en la pared interna del tallo 64 mite disminuir el tiempo de elección del tallo y reducir los desperdicios de bambú. • No requiere del uso de mortero ya que su sistema de expansión con los zunchos evita el aplastamiento del ta- llo. Eso evita trabajo, tiempos de se- cado del mortero y reduce el peso de la unión. • Una vez asegurado el conector con el bambú, el dispositivo permite regular la dimensión de la pieza con una lla- ve. Ofrece un juego de 2 a 3cm que resulta muy importante para adaptar- se a las irregularidades dimensionales características de los tallos de bambú. • La unión puede ser desarmada de for- ma muy sencilla y rápida con un a lla- ve. Esas ventajas han permitido presentar un proyecto de patente en el Perú (pu- blicado en la Gaceta Electrónica de Pro- piedad Industrial de INDECOPI con el número de expediente 1321-2017). Figura 26. Una de las figuras del proyecto de patente donde se muestra una vista isométrica del dispositivo conector colocado en el tallo de bambú (8) parcialmente abierto para visualizar la interacción entre la invención y la pared interna del tallo de bambú (8). Se aprecia cómo las cuñas de fijación (5) se incrustan en la pared interna del tallo del bambú y se ven la varilla roscada (3) con las tuercas (6), arandela (7), el disco de compresión (2) y el taco extensor (4). En importante recalcar que, para ser competitivo, este conector tiene que producirse en serie con el proceso de inyección de plástico. Sería interesante evaluar la posibilidad de utilizar plástico reciclado. RECONOCIMIENTOS Se agradece al Ing. Industrial Rafael Figueroa, por sus aportes en el diseño y fabricación de prototipos, y al Arq. Víctor Barraza, por su apoyo en la fabricación y ensayos de prototipos. REFERENCIAS Añazco, M. (2013). ESTUDIO DE VULNERABILIDAD DEL BAMBÚ (Guadua angustifolia) AL CAMBIO CLIMÁTICO en la costa del Ecuador y norte Perú. Quito: INBAR. Arce-Villalobos, O. A. (1993). Fundamentals of the design of bamboo structures. Eindhoven: technische Universiteit Eindhoven. Barnet, Y., & Jabrane, F. (2017). Diseño de proyectos con bambú en Lima como estrategia de difusión de un método constructivo alternativo y sostenible. Campus N°23, 85-104. Clark, L. (2006). Bamboo biodiversity. Obtenido de http://www.eeob.iastate.edu/research/ba mboo/index.html Heinsdorff, M., Baumert, C., Baur, M., Garrecht, H., Kahn-Ackermann, M., Knapp, G., . . . Von Vegesack, A. (2010). Design with Nature - The bamboo architecture. Munich: Hirmer. Janssen, J. J. (2000). Designing and Building with Bamboo,. Beijing, Republica Polpualr de China: International Network for Bamboo and Rattan. Kaminski, S., Trujillo, D. J., & Lawrence, A. (2016). Structural use of bamboo: Part 1: Introduction to bamboo. The Structural Engineer, 40-43. Ministerio de Vivienda, Urbanismo y Construcción. (2012). E100 Bambú. Reglamento Nacional de Edificaciones. Lima, Perú. Morán Ubedia, J. (2014). DE LOS “MATERIALES CONVENCIONALES” A LOS “ECO MATERIALES". Primer congreso Internacional Innovaciones con bambú. 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(2015). Construir con bambú Figura 26. Una de las figuras del proyecto de patente donde se muestra una vista isométrica del dispositivo conector colocado en el tallo de bambú (8) parcialmente abierto para vi- sualizar la interacción entre la invención y la pared interna del tallo de bambú (8). Se apre- cia cómo las cuñas de fijación (5) se incrustan en la pared interna del tallo del bambú y se ven la varilla roscada (3) con las tuercas (6), arandela (7), el disco de compresión (2) y el taco extensor (4). En importante recalcar que, para ser competitivo, este conector tiene que pro - ducirse en serie con el proceso de inyección de plástico. Sería interesante evaluar la po - sibilidad de utilizar plástico reciclado. Reconocimientos Se agradece al Ing. Industrial Rafael Figueroa, por sus aportes en el diseño y fabricación de prototipos, y al Arq. Víctor Barraza, por su apoyo en la fabricación y ensayos de prototipos. r EfErEnCias Añazco, M. (2013). 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