The flexibility matrix o timber composite beams with a discrete connection system

This work presents a method for the analysis of timber composite beams which considers the slip in the connection system, based on assembling the flexibility matrix of the whole structure. This method is based on one proposed by Tommola and Jutila (2001). This paper extends the method to the case of a gap between two pieces with an arbitrary location at the first connector, which notably broadens its practical application. The addition of the gap makes it possible to model a cracked zone in concrete topping, as well as the case in which forming produces the gap. The consideration of induced stresses due to changes in temperature and moisture content is also described, while the concept of equivalent eccentricity is generalized. This method has important advantages in connection with the current European Standard EN 1995-1-1: 2004, as it is able to deal with any type of load, variable section, discrete and non-regular connection systems, a gap between the two pieces, and variations in temperature and moisture content. Although it could be applied to any structural system, it is specially suited for the case of simple supported and continuous beams. Working examples are presented at the end, showing that the arrangement of the connection notably modifies shear force distribution. A first interpretation of the results is made on the basis of the strut and tie theory. The examples prove that the use of EC-5 is unsafe when, as a rule of thumb, the strut or compression field between the support and the first connector is at an angle with the axis of the beam of less than 60º.

Proyectando entre ruinas : lógicas de intervención continua en la arquitectura contemporánea

Los cambios percibidos hacia finales del siglo XX y a principios del nuevo milenio, nos ha mostrado que la crisis cultural de la que somos participes refleja también una crisis de los modelos universales. Nuestra situación contemporánea, parece indicar que ya no es posible formular un sistema estético para atribuirle una vigencia universal e intemporal más allá de su estricta eficacia puntual. La referencia organizada, delimitada, invariable y específica que ofrecía cualquier emplazamiento, en tanto preexistencia, reflejaba una jerarquía del sistema formal basado en lo extensivo: la medida, las normas, el movimiento, el tiempo, la modulación, los códigos y las reglas. Sin embargo, actualmente, algunos aspectos que permanecían latentes sobre lo construido, emergen bajo connotaciones intensivas, transgrediendo la simple manifestación visual y expresiva, para centrase en las propiedades del comportamiento de la materia y la energía como determinantes de un proceso de adaptación en el entorno. A lo largo del todo el siglo XX, el desarrollo de la relación del proyecto sobre lo construido ha sido abordado, casi en exclusiva, entre acciones de preservación o intervención. Ambas perspectivas, manifestaban esfuerzos por articular un pensamiento que diera una consistencia teórica, como soporte para la producción de la acción aditiva. No obstante, en las últimas décadas de finales de siglo, la teoría arquitectónica terminó por incluir pensamientos de otros campos que parecen contaminar la visión sesgada que nos refería lo construido. Todo este entramado conceptual previo, aglomeraba valiosos intentos por dar contenido a una teoría que pudiese ser entendida desde una sola posición argumental. Es así, que en 1979 Ignasi Solá-Morales integró todas las imprecisiones que referían una actuación sobre una arquitectura existente, bajo el termino de “intervención”, el cual fue argumentado en dos sentidos: El primero referido a cualquier tipo de actuación que se puede hacer en un edificio, desde la defensa, preservación, conservación, reutilización, y demás acciones. Se trata de un ámbito donde permanece latente el sentido de intensidad, como factor común de entendimiento de una misma acción. En segundo lugar, más restringido, la idea de intervención se erige como el acto crítico a las ideas anteriores. Ambos representan en definitiva, formas de interpretación de un nuevo discurso. “Una intervención, es tanto como intentar que el edificio vuelva a decir algo o lo diga en una determinada dirección”. A mediados de 1985, motivado por la corriente de revisión historiográfica y la preocupación del deterioro de los centros históricos que recorría toda Europa, Solá-Morales se propone reflexionar sobre “la relación” entre una intervención de nueva arquitectura y la arquitectura previamente existente. Relación condicionada estrictamente bajo consideraciones lingüísticas, a su entender, en sintonía con toda la producción arquitectónica de todo el siglo XX. Del Contraste a la Analogía, resumirá las transformaciones en la concepción discursiva de la intervención arquitectónica, como un fenómeno cambiante en función de los valores culturales, pero a su vez, mostrando una clara tendencia dialógica entres dos categorías formales: El Contraste, enfatizando las posibilidades de la novedad y la diferencia; y por otro lado la emergente Analogía, como una nueva sensibilidad de interpretación del edificio antiguo, donde la semejanza y la diversidad se manifiestan simultáneamente. El aporte reflexivo de los escritos de Solá-Morales podría ser definitivo, si en las últimas décadas antes del fin de siglo, no se hubiesen percibido ciertos cambios sobre la continuidad de la expresión lingüística que fomentaba la arquitectura, hacia una especie de hipertrofia figurativa. Entre muchos argumentos: La disolución de la consistencia compositiva y el estilo unitario, la incorporación volumétrica del proyecto como dispositivo reactivo, y el cambio de visión desde lo retrospectivo hacia lo prospectivo que sugiere la nueva conservación. En este contexto de desintegración, el proyecto, en tanto incorporación o añadido sobre un edificio construido, deja de ser considerado como un apéndice volumétrico subordinado por la reglas compositivas y formales de lo antiguo, para ser considerado como un organismo de orden reactivo, que produce en el soporte existente una alteración en su conformación estructural y sistémica. La extensión, antes espacial, se considera ahora una extensión sensorial y morfológica con la implementación de la tecnología y la hiper-información, pero a su vez, marcados por una fuerte tendencia de optimización energética en su rol operativo, ante el surgimiento del factor ecológico en la producción contemporánea. En una sociedad, como la nuestra, que se está modernizando intensamente, es difícil compartir una adecuada sintonía con las formas del pasado. Desde 1790, fecha de la primera convención francesa para la conservación de monumentos, la escala de lo que se pretende preservar es cada vez más ambiciosa, tanto es así, que al día de hoy el repertorio de lo que se conserva incluye prácticamente todas las tipologías del entorno construido. Para Koolhaas, el intervalo entre el objeto y el momento en el cual se decide su conservación se ha reducido, desde dos milenios en 1882 a unas décadas hoy en día. En breve este lapso desaparecerá, demostrando un cambio radical desde lo retrospectivo hacia lo prospectivo, es decir, que dentro de poco habrá que decidir que es lo que se conserva antes de construir. Solá-Morales, en su momento, distinguió la relación entre lo nuevo y lo antiguo, entre el contraste y la analogía. Hoy casi tres décadas después, el objetivo consiste en evaluar si el modelo de intervención arquitectónica sobre lo construido se ha mantenido desde entonces o si han aparecido nuevas formas de posicionamiento del proyecto sobre lo construido. Nuestro trabajo pretende demostrar el cambio de enfoque proyectual con la preexistencia y que éste tiene estrecha relación con la incorporación de nuevos conceptos, técnicas, herramientas y necesidades que imprimen el contexto cultural, producido por el cambio de siglo. Esta suposición nos orienta a establecer un paralelismo arquitectónico entre los modos de relación en que se manifiesta lo nuevo, entre una posición comúnmente asumida (Tópica), genérica y ortodoxa, fundamentada en lo visual y expresivo de las últimas décadas del siglo XX, y una realidad emergente (Heterotópica), extraordinaria y heterodoxa que estimula lo inmaterial y que parece emerger con creciente intensidad en el siglo XXI. Si a lo largo de todo el siglo XX, el proyecto de intervención arquitectónico, se debatía entre la continuidad y discontinuidad de las categorías formales marcadas por la expresión del edificio preexistente, la nueva intervención contemporánea, como dispositivo reactivo en el paisaje y en el territorio, demanda una absoluta continuidad, ya no visual, expresiva, ni funcional, sino una continuidad fisiológica de adaptación y cambio con la propia dinámica del territorio, bajo nuevas reglas de juego y desplegando planes y estrategias operativas (proyectivas) desde su propia lógica y contingencia. El objeto de esta investigación es determinar los nuevos modos de continuidad y las posibles lógicas de producción que se manifiestan dentro de la Intervención Arquitectónica, intentando superar lo aparente de su relación física y visual, como resultado de la incorporación del factor operativo desplegado por el nuevo dispositivo contemporáneo. Creemos que es acertado mantener la senda connotativa que marca la denominación intervención arquitectónica, por aglutinar conceptos y acercamientos teóricos previos que han ido evolucionando en el tiempo. Si bien el término adolece de mayor alcance operativo desde su formulación, una cualidad que infieren nuestras lógicas contemporáneas, podría ser la reformulación y consolidación de un concepto de intervención más idóneo con nuestros tiempos, anteponiendo un procedimiento lógico desde su propia necesidad y contingencia. Finalmente, nuestro planteamiento inicial aspira a constituir un nueva forma de reflexión que nos permita comprender las complejas implicaciones que infiere la nueva arquitectura sobre la preexistencia, motivada por las incorporación de factores externos al simple juicio formal y expresivo preponderante a finales del siglo XX. Del mismo modo, nuestro camino propuesto, como alternativa, permite proyectar posibles sendas de prospección, al considerar lo preexistente como un ámbito que abarca la totalidad del territorio con dinámicas emergentes de cambio, y con ellas, sus lógicas de intervención.Abstract The perceived changes towards the end of the XXth century and at the beginning of the new milennium have shown us that the cultural crisis in which we participate also reflects a crisis of the universal models. The difference between our contemporary situation and the typical situations of modern orthodoxy and post-modernistic fragmentation, seems to indicate that it is no longer possible to formulate a valid esthetic system, to assign a universal and eternal validity to it beyond its strictly punctual effectiveness; which is even subject to questioning because of the continuous transformations that take place in time and in the sensibility of the subject itself every time it takes over the place. The organised reference that any location offered, limited, invariable and specific, while pre-existing, reflected a hierarchy of the formal system based on the applicable: measure, standards, movement, time, modulation, codes and rules. Authors like Marshall Mc Luhan, Paul Virilio, or Marc Augé anticipated a reality where the conventional system already did not seem to respond to the new architectural requests in which information, speed, disappearance and the virtual had blurred the traditional limits of place; pre-existence did no longer possess a specific delimitation and, on the contrary, they expect to reach a global scale. Currently, some aspects that stayed latent relating to the constructed, surface from intensive connotations, transgressing the simple visual and expressive manifestation in order to focus on the traits of the behaviour of material and energy as determinants of a process of adaptation to the surroundings. Throughout the entire Century, the development of the relation of the project relating to the constructed has been addressed, almost exclusively, in preservational or interventianal actions. Both perspectives showed efforts in order to express a thought that would give a theoretical consistency as a base for the production of the additive action. Nevertheless, the last decades of the Century, architectural theory ended up including thoughts from other fields that seem to contaminate the biased vision 15 which the constructed related us. Ecology, planning, philosophy, global economy, etc, suggest new approaches to the construction of the contemporary city; but this time with a determined idea of change and continuous transformation, that enriches the panorama of thought and architectural practice, at the same time, according to some, it puts disciplinary specification at risk, given that there is no architecture without destruction, the constructed organism requires mutation in order to adjust to the change of shape. All of this previous conceptual framework gathered valuable intents to give importance to a theory that could be understood solely from an argumental position. Thusly, in 1979 Ignasi Solá-Morales integrated all of the imprecisions that referred to an action in existing architecture under the term of “Intervention”, which was explained in two ways: The first referring to any type of intervention that can be carried out in a building, regarding protection, conservation, reuse, etc. It is about a scope where the meaning of intensity stays latent as a common factor of the understanding of a single action. Secondly, more limitedly, the idea of intervention is established as the critical act to the other previous ideas such as restauration, conservation, reuse, etc. Both ultimately represent ways of interpretation of a new speech. “An intervention, is as much as trying to make the building say something again or that it be said in a certain direction”. Mid 1985, motivated by the current of historiographical revision and the concerns regarding the deterioration of historical centres that traversed Europe, Solá-Morales decides to reflect on “the relationship” between an intervention of the new architecture and the previously existing architecture. A relationship determined strictly by linguistic considerations, to his understanding, in harmony with all of the architectural production of the XXth century. From Contrast to Analogy would summarise transformations in the discursive perception of architectural intervention, as a changing phenomenon depending on cultural values, but at the same time, showing a clear dialogical tendency between two formal categories: Contrast, emphasising the possibilities of novelty and difference; and on the other hand the emerging Analogy, as a new awareness of interpretation of the ancient building, where the similarity and diversity are manifested simultaneously. For Solá-Morales the analogical procedure is not based on the visible simultaneity of formal orders, but on associations that the subject establishes throughout time. Through analogy it is tried to overcome the simple visual relationship with the antique, to focus on its spacial, physical and geographical nature. If the analogical attempt guides an opening towards a new continuity; it still persists in the connection of dimensional, typological and figurative factors, subordinate to the formal hierarchy of the preexisting subjects. 16 The reflexive contribution of Solá-Morales’ works could be final, if in the last decades before the end of the century there had not been certain changes regarding linguistic expression, encouraged by architecture, towards a kind of figurative hypertrophy, amongst many arguments we are in this case interested in three moments: The dissolution of the compositional consistency and the united style, the volumetric incorporation of the project as a reactive mechanism, and the change of the vision from retrospective towards prospective that the new conservation suggests. The recurrence to the history of architecture and its recognisable forms, as a way of perpetuating memory and establishing a reference, dissolved any instinct of compositive unity and style, provoking permanent relationships to tend to disappear. The composition and coherence lead to suppose a type of discontinuity of isolated objects in which only possible relationships could appear; no longer as an order of certain formal and compositive rules, but as a special way of setting elements in a specific work. The new globalised field required new forms of consistency between the project and the pre-existent subject, motivated amongst others by the higher pace of market evolution, increase of consumer tax and the level of information and competence between different locations; aspects which finally made stylistic consistence inefficient. In this context of disintegration, the project, in incorporation as well as added to a constructed building, stops being considered as a volumetric appendix subordinate to compositive and formal rules of old, to be considered as an organism of reactive order, that causes a change in the structural and systematic configuration of the existing foundation. The extension, previsouly spatial, is now considered a sensorial and morphological extension, with the implementation of technology and hyper-information, but at the same time, marked by a strong tendency of energetic optimization in its operational role, facing the emergence of the ecological factor in contemporary production. The technological world turns into a new nature, a nature that should be analysed from ecological terms; in other words, as an event of transition in the continuous redistribution of energy. In this area, effectiveness is not only determined by the capacity of adaptation to changing conditions, but also by its transforming capacity “expressly” in order to change an environment. In a society, like ours, that is modernising intensively, it is difficult to share an adecuate agreement with the forms of the past. From 1790, the date of the first French convention for the conservation of monuments, the scale of what is expexted to be preserved is more and more ambitious, so much so that nowadays the repertoire of that what is conserved includes practically all typologies of the constructed surroundings. For Koolhaas, the ínterval between the object and the moment when its conservation is decided has been reduced, from two 17 milennia in 1882 to a few decades nowadays. Shortly this lapse will disappear, showing a radical change of retrospective towards prospective, that is to say, that soon it will be necessary to decide what to conserve before constructing. The shapes of cities are the result of the continuous incorporation of architecture, and perhaps that only through architecture the response to the universe can be understood, the continuity of what has already been constructed. Our work is understood also within that system, modifying the field of action and leaving the road ready for the next movement of those that will follow after us. Continuity does not mean conservatism, continuity means being conscient of the transitory value of our answers to specific needs, accepting the change that we have received. That what has been constructed to remain and last, should cause future interventions to be integrated in it. It is necessary to accept continuity as a rule. Solá-Morales, in his time, distinguished between the relationship with new and old, between contrast and analogy. Today, almost three decades later, the objective consists of evaluating whether the model of architectural intervention in the constructed has been maintained since then or if new ways of positioning the project regarding the constructed have appeared. Our work claims to show the change of the approach of projects with pre-existing subjects and that this has got a close relation to the incorporation of new concepts, techniques, tools and necessities that impress the cultural context, caused by the change of centuries. This assumption guides us to establish a parallelism between the forms of connection where that what is new is manifested between a commonly assumed (topical), generic and orthodox position, based on that what is visual and expressive in the last decades of the XXth century, and an emerging (heterotopical), extraordinary and heterodox reality that stimulates the immaterial and that seems to emerge with growing intensity in the XXIst century. If throughout the XXth century the project of architectural intervention was considered from the continuity and discontinuity of formal categories, marked by the expression of the pre-existing building, the new contemporary intervention, as a reactive device in the landscape and territory, demands an absolute continuity. No longer a visual, expressive or functional one but a morphological continuity of adaptation and change with its own territorial dynamics, under new game rules and unfolding new operative (projective) strategies from its own logic and contingency. 18 The aim of this research is to determine new forms of continuity and the possible logic of production that are expressed in the Architectural Intervention, trying to overcome the obviousness of its physical and visual relationship, at the beginning of this new century, as a result of the incorporation of the operative factor that the new architectural device unfolds. We think it is correct to maintain the connotative path that marks the name architectural intervention by bringing previous concepts and theorical approaches that have been evolving through time together. If the name suffers from a wider operational range because of its formulation, a quality that our contemporary logic provokes, the reformulation and consolidation of an interventional concept could be more suitable for our times, giving preference to a logical method from its own necessity and contingency. It seems that now time shapes the topics, it is no longer about materialising a certain time but about expressing the changes that its new temporality generates. Finally, our initial approach aspires to form a new way of reflection that permits us to understand the complex implications that the new architecture submits the pre-existing subject to, motivated by the incorporation of factors external to simple formal and expressive judgement, prevailing at the end of the XXth century. In the same way, our set road, as an alternative, permits the contemplation of possible research paths, considering that what is pre-existing as an area that spans the whole territory with emerging changing dynamics and, with them, their interventional logics.

Análisis del comportamiento de uniones metálicas viga-soporte mediante modelo de elementos finitos y comparación de resultados con el modelo de nudos y barras

Para el proyecto y cálculo de estructuras metálicas, fundamentalmente pórticos y celosías de cubierta, la herramienta más comúnmente utilizada son los programas informáticos de nudos y barras. En estos programas se define la geometría y sección de las barras, cuyas características mecánicas son perfectamente conocidas, y sobre las cuales obtenemos unos resultados de cálculo concretos en cuanto a estados tensionales y de deformación. Sin embargo el otro componente del modelo, los nudos, presenta mucha mayor complejidad a la hora de establecer sus propiedades mecánicas, fundamentalmente su rigidez al giro, así como de obtener unos resultados de estados tensionales y de deformación en los mismos. Esta “ignorancia” sobre el comportamiento real de los nudos, se salva generalmente asimilando a los nudos del modelo la condición de rígidos o articulados. Si bien los programas de cálculo ofrecen la posibilidad de introducir nudos con una rigidez intermedia (nudos semirrígidos), la rigidez de cada nudo dependerá de la geometría real de la unión, lo cual, dada la gran variedad de geometrías de uniones que en cualquier proyecto se nos presentan, hace prácticamente inviable introducir los coeficientes correspondientes a cada nudo en los modelos de nudos y barras. Tanto el Eurocódigo como el CTE, establecen que cada unión tendrá asociada una curva momento-rotación característica, que deberá ser determinada por los proyectistas mediante herramientas de cálculo o procedimientos experimentales. No obstante, este es un planteamiento difícil de llevar a cabo para cada proyecto. La consecuencia de esto es, que en la práctica, se realizan extensas comprobaciones y justificaciones de cálculo para las barras de las estructuras, dejando en manos de la práctica común la solución y puesta en obra de las uniones, quedando sin justificar ni comprobar la seguridad y el comportamiento real de estas. Otro aspecto que conlleva la falta de caracterización de las uniones, es que desconocemos como afecta el comportamiento real de éstas en los estados tensionales y de deformación de las barras que acometen a ellas, dudas que con frecuencia nos asaltan, no sólo en la fase de proyecto, sino también a la hora de resolver los problemas de ejecución que inevitablemente se nos presentan en el desarrollo de las obras. El cálculo mediante el método de los elementos finitos, es una herramienta que nos permite introducir la geometría real de perfiles y uniones, y nos permite por tanto abordar el comportamiento real de las uniones, y que está condicionado por su geometría. Por ejemplo, un caso típico es el de la unión de una viga a una placa o a un soporte soldando sólo el alma. Es habitual asimilar esta unión a una articulación. Sin embargo, el modelo por elementos finitos nos ofrece su comportamiento real, que es intermedio entre articulado y empotrado, ya que se transmite un momento y el giro es menor que el del apoyo simple. No obstante, la aplicación del modelo de elementos finitos, introduciendo la geometría de todos los elementos estructurales de un entramado metálico, tampoco resulta en general viable desde un punto de vista práctico, dado que requiere invertir mucho tiempo en comparación con el aumento de precisión que obtenemos respecto a los programas de nudos y barras, mucho más rápidos en la fase de modelización de la estructura. En esta tesis se ha abordado, mediante la modelización por elementos finitos, la resolución de una serie de casos tipo representativos de las uniones más comúnmente ejecutadas en obras de edificación, como son las uniones viga-pilar, estableciendo el comportamiento de estas uniones en función de las variables que comúnmente se presentan, y que son: •Ejecución de uniones viga-pilar soldando solo por el alma (unión por el alma), o bien soldando la viga al pilar por todo su perímetro (unión total). •Disposición o no de rigidizadores en los pilares •Uso de pilares de sección 2UPN en cajón o de tipo HEB, que son los tipos de soporte utilizados en casi el 100% de los casos en edificación. Para establecer la influencia de estas variables en el comportamiento de las uniones, y su repercusión en las vigas, se ha realizado un análisis comparativo entre las variables de resultado de los casos estudiados:•Estados tensionales en vigas y uniones. •Momentos en extremo de vigas •Giros totales y relativos en nudos. •Flechas. Otro de los aspectos que nos permite analizar la casuística planteada, es la valoración, desde un punto de vista de costos de ejecución, de la realización de uniones por todo el perímetro frente a las uniones por el alma, o de la disposición o no de rigidizadores en las uniones por todo el perímetro. Los resultados a este respecto, son estrictamente desde un punto de vista económico, sin perjuicio de que la seguridad o las preferencias de los proyectistas aconsejen una solución determinada. Finalmente, un tercer aspecto que nos ha permitido abordar el estudio planteado, es la comparación de resultados que se obtienen por el método de los elementos finitos, más próximos a la realidad, ya que se tiene en cuenta los giros relativos en las uniones, frente a los resultados obtenidos con programas de nudos y barras. De esta forma, podemos seguir usando el modelo de nudos y barras, más versátil y rápido, pero conociendo cuáles son sus limitaciones, y en qué aspectos y en qué medida, debemos ponderar sus resultados. En el último apartado de la tesis se apuntan una serie de temas sobre los que sería interesante profundizar en posteriores estudios, mediante modelos de elementos finitos, con el objeto de conocer mejor el comportamiento de las uniones estructurales metálicas, en aspectos que no se pueden abordar con los programas de nudos y barras. For the project and calculation of steel structures, mainly building frames and cover lattices, the tool more commonly used are the node and bars model computer programs. In these programs we define the geometry and section of the bars, whose mechanical characteristics are perfectly known, and from which we obtain the all calculation results of stresses and displacements. Nevertheless, the other component of the model, the nodes, are much more difficulty for establishing their mechanical properties, mainly the rotation fixity coefficients, as well as the stresses and displacements. This "ignorance" about the real performance of the nodes, is commonly saved by assimilating to them the condition of fixed or articulated. Though the calculation programs offer the possibility to introducing nodes with an intermediate fixity (half-fixed nodes), the fixity of every node will depend on the real connection’s geometry, which, given the great variety of connections geometries that in a project exist, makes practically unviable to introduce the coefficients corresponding to every node in the models of nodes and bars. Both Eurocode and the CTE, establish that every connection will have a typical moment-rotation associated curve, which will have to be determined for the designers by calculation tools or experimental procedures. Nevertheless, this one is an exposition difficult to carry out for each project. The consequence of this, is that in the practice, in projects are extensive checking and calculation reports about the bars of the structures, trusting in hands of the common practice the solution and execution of the connections, resulting without justification and verification their safety and their real behaviour. Another aspect that carries the lack of the connections characterization, is that we don´t know how affects the connections real behaviour in the stresses and displacements of the bars that attack them, doubts that often assault us, not only in the project phase, but also at the moment of solving the execution problems that inevitably happen in the development of the construction works. The calculation by finite element model is a tool that allows us to introduce the real profiles and connections geometry, and allows us to know about the real behaviour of the connections, which is determined by their geometry. Typical example is a beam-plate or beam-support connection welding only by the web. It is usual to assimilate this connection to an articulation or simple support. Nevertheless, the finite element model determines its real performance, which is between articulated and fixed, since a moment is transmitted and the relative rotation is less than the articulation’s rotation. Nevertheless, the application of the finite element model, introducing the geometry of all the structural elements of a metallic structure, does not also turn out to be viable from a practical point of view, provided that it needs to invest a lot of time in comparison with the precision increase that we obtain opposite the node and bars programs, which are much more faster in the structure modelling phase. In this thesis it has been approached, by finite element modelling, the resolution of a representative type cases of the connections commonly used in works of building, since are the beam-support connections, establishing the performance of these connections depending on the variables that commonly are present, which are: •Execution of beam-support connections welding only the web, or welding the beam to the support for the whole perimeter. •Disposition of stiffeners in the supports •Use 2UPN in box section or HEB section, which are the support types used in almost 100% building cases. To establish the influence of these variables in the connections performance, and the repercussion in the beams, a comparative analyse has been made with the resulting variables of the studied cases: •Stresses states in beams and connections. •Bending moments in beam ends. •Total and relative rotations in nodes. •Deflections in beams. Another aspect that the study allows us to analyze, is the valuation, from a costs point of view, of the execution of connections for the whole perimeter opposite to the web connections, or the execution of stiffeners. The results of this analyse, are strictly from an economic point of view, without prejudice that the safety or the preferences of the designers advise a certain solution. Finally, the third aspect that the study has allowed us to approach, is the comparison of the results that are obtained by the finite element model, nearer to the real behaviour, since the relative rotations in the connections are known, opposite to the results obtained with nodes and bars programs. So that, we can use the nodes and bars models, more versatile and quick, but knowing which are its limitations, and in which aspects and measures, we must weight the results. In the last part of the tesis, are relationated some of the topics on which it would be interesting to approach in later studies, with finite elements models, in order to know better the behaviour of the structural steel connections, in aspects that cannot be approached by the nodes and bars programs.

Hammer: an Android based application for end-user industrial robot programming

This paper presents a novel tablet based end-user interface for industrial robot programming (called Hammer). This application makes easier to program tasks for industrial robots like polishing, milling or grinding. It is based on the Scratch programming language, but specifically design and created for Android OS. It is a visual programming concept that allows non-skilled programmer operators to create programs. The application also allows to monitor the tasks while it is being executed by overlapping real time information through augmented reality. The application includes a teach pendant screen that can be customized according to the operator needs at every moment.

Use of Headed Reinforcement Bars in Contruction. A Theoretical Approach to Determine the Dimensions of Anchorage Plates and Experimental Tests on Knee Joints Subjected to a Closing Moment

In order to reduce costs and time while improving quality, durability and sustainability in structural concrete constructions, a widely used material nowadays, special care must be taken in some crucial phases of the project and execution, including the structure design and calculation, the dosage, dumping and curing of concrete: another important aspect is the proper design and execution of assembly plans and construction details. The framework, a name designating the whole reinforcement bars cage already assembled as shown in the drawings, can be made up of several components and implies higher or lower industrialization degree. The framework costs constitute about one third of the price per cubic meter placed in concrete works. The best solutions from all points of view are clearly those involving an easier processing to achieve the same goal, and consequently carrying a high degree of industrialization, meaning quality and safety in the work. This thesis aims to provide an indepth analysis of a relatively new type of anchoring by plate known as headed reinforcement bars, which can potentially replace standard or L-shaped hooks, improving the cleaning of construction details and enabling a faster, more flexible, and therefore a more economical assembly. A literature review on the topic and an overview of typical applications is provided, followed by some examples of specific applications in real projects. Since a strict theoretical formulation used to provide the design plate dimensions has not yet been put forward, an equation is proposed for the side-face blowout strength of the anchorage, based on the capacity of concrete to carry concentrated loads in cases in which no transverse reinforcement is provided. The correlation of the calculated ultimate load with experimental results available in the literature is given. Besides, the proposed formulation can be expanded to cases in which a certain development length is available: using a software for nonlinear finite element analysis oriented to the study of reinforced concrete, numerical tests on the bond-bearing interaction are performed. The thesis ends with a testing of eight corner joints subjected to a closing moment, held in the Structures Laboratory of the Polytechnic University of Madrid, aiming to check whether the design of such plates as stated is adequate for these elements and whether an element with plate-anchored reinforcement is equivalent to one with a traditional construction detail.

Ancient law: its connection with the early history of society and its relation to modern ideas.

"... April, 1892. Mr. Murray's list of new publications": 28 p. at end.

Building Resonance

Thesis (Master's)--University of Washington, 2016-06

Ultimate strength of continuous composite beams in combined bending and shear

The contributions of the concrete slab and composite action to the vertical shear strength of continuous steel-concrete composite beams are ignored in current design codes, which result in conservative designs. This paper investigates the ultimate strength of continuous composite beams in combined bending and shear by using the finite element analysis method. A three-dimensional finite element model has been developed to account for the geometric and material nonlinear behaviour of continuous composite beams. The finite element model is verified by experimental results and then used to study the effects of the concrete slab and shear connection on the vertical shear strength. The moment-shear interaction strength of continuous composite beams is also investigated by varying the moment/ shear ratio. It is shown that the concrete slab and composite action significantly increase the ultimate strength of continuous composite beams. Based on numerical results, design models are proposed for the vertical shear strength and moment-shear interaction of continuous composite beams. The proposed design models, which incorporates the effects of the concrete slab, composite action, stud pullout failure and web shear buckling, are compared with experimental results with good agreement. (C) 2003 Elsevier Ltd. All rights reserved.

Strength analysis of steel-concrete composite beams in combined bending and shear

Despite experimental evidences, the contributions of the concrete slab and composite action to the vertical shear strength of simply supported steel-concrete composite beams are not considered in current design codes, which lead to conservative designs. In this paper, the finite element method is used to investigate the flexural and shear strengths of simply supported composite beams under combined bending and shear. A three-dimensional finite element model has been developed to account for geometric and material nonlinear behavior of composite beams, and verified by experimental results. The verified finite element model is than employed to quantify the contributions of the concrete slab and composite action to the moment and shear capacities of composite beams. The effect of the degree of shear connection on the vertical shear strength of deep composite beams loaded in shear is studied. Design models for vertical shear strength including contributions from the concrete slab and composite action and for the ultimate moment-shear interaction ate proposed for the design of simply supported composite beams in combined bending and shear. The proposed design models provide a consistent and economical design procedure for simply supported composite beams.

End games: Euthanasia under interminable scrutiny

It is increasingly asserted that the disagreements of abstract principle between adversaries in the euthanasia debate fail to account for the complex, particular and ambiguous experiences of people at the end of their lives. A greater research effort into experiences, meaning, connection, vulnerability and motivation is advocated, during which the euthanasia 'question' should remain open. I argue that this is a normative strategy, which is felicitous to the status quo and further medicalises the end of life, but which masquerades as a value-neutral assertion about needing more knowledge.

Scramjet lift, thrust and pitching-moment characteristics measured in a shock tunnel

Lift, pitching moment, and thrust/drag on a supersonic combustion ramjet were measured in the T4 free-piston shock tunnel using a three-component stress-wave force balance. The scramjet model was 0.567 m long and weighed approximately 6 kg. Combustion occurred at a nozzle-supply enthalpy of 3.3 MJ/kg and nozzle-supply pressure of 32 MPa at Mach 6.6 for equivalence ratios up to 1.4. The force coefficients varied approximately linearly with equivalence ratio. The location of the center of pressure changed by 10% of the chord of the model over the range of equivalence ratios tested. Lift and pitching-moment coefficients remained constant when the nozzle-supply enthalpy was increased to 4.9 MJ/kg at an equivalence ratio of 0.8, but the thrust coefficient decreased rapidly. When the nozzle-supply pressure was reduced at a nozzle-supply enthalpy of 3.3 MJ/kg and an equivalence ratio of 0.8, the combustion-generated increment of lift and thrust was maintained at 26 MPa, but disappeared at 16 MPa. Measured lift and thrust forces agreed well with calculations made using a simplified force prediction model, but the measured pitching moment substantially exceeded predictions. Choking occurred at nozzle-supply enthalpies of less than 3.0 MJ/kg with an equivalence ratio of 0.8. The tests failed to yield a positive thrust because of the skin-friction drag that accounted for up to 50% of the fuel-off drag.