Elastostatics

In this chapter, we are going to describe the main features as well as the basic steps of the Boundary Element Method (BEM) as applied to elastostatic problems and to compare them with other numerical procedures. As we shall show, it is easy to appreciate the adventages of the BEM, but it is also advisable to refrain from a possible unrestrained enthusiasm, as there are also limitations to its usefulness in certain types of problems. The number of these problems, nevertheless, is sufficient to justify the interest and activity that the new procedure has aroused among researchers all over the world. Briefly speaking, the most frequently used version of the BEM as applied to elastostatics works with the fundamental solution, i.e. the singular solution of the governing equations, as an influence function and tries to satisfy the boundary conditions of the problem with the aid of a discretization scheme which consists exclusively of boundary elements. As in other numerical methods, the BEM was developed thanks to the computational possibilities offered by modern computers on totally "classical" basis. That is, the theoretical grounds are based on linear elasticity theory, incorporated long ago into the curricula of most engineering schools. Its delay in gaining popularity is probably due to the enormous momentum with which Finite Element Method (FEM) penetrated the professional and academic media. Nevertheless, the fact that these methods were developed before the BEM has been beneficial because de BEM successfully uses those results and techniques studied in past decades. Some authors even consider the BEM as a particular case of the FEM while others view both methods as special cases of the general weighted residual technique. The first paper usually cited in connection with the BEM as applied to elastostatics is that of Rizzo, even though the works of Jaswon et al., Massonet and Oliveira were published at about the same time, the reason probably being the attractiveness of the "direct" approach over the "indirect" one. The work of Tizzo and the subssequent work of Cruse initiated a fruitful period with applicatons of the direct BEM to problems of elastostacs, elastodynamics, fracture, etc. The next key contribution was that of Lachat and Watson incorporating all the FEM discretization philosophy in what is sometimes called the "second BEM generation". This has no doubt, led directly to the current developments. Among the various researchers who worked on elastostatics by employing the direct BEM, one can additionallly mention Rizzo and Shippy, Cruse et al., Lachat and Watson, Alarcón et al., Brebbia el al, Howell and Doyle, Kuhn and Möhrmann and Patterson and Sheikh, and among those who used the indirect BEM, one can additionally mention Benjumea and Sikarskie, Butterfield, Banerjee et al., Niwa et al., and Altiero and Gavazza. An interesting version of the indirct method, called the Displacement Discontinuity Method (DDM) has been developed by Crounh. A comprehensive study on various special aspects of the elastostatic BEM has been done by Heisse, while review-type articles on the subject have been reported by Watson and Hartmann. At the present time, the method is well established and is being used for the solution of variety of problems in engineering mechanics. Numerous introductory and advanced books have been published as well as research-orientated ones. In this sense, it is worth noting the series of conferences promoted by Brebbia since 1978, wich have provoked a continuous research effort all over the world in relation to the BEM. In the following sections, we shall concentrate on developing the direct BEM as applied to elastostatics.

Performance of masonry buildings during the 2011 Lorca earthquake

On Wednesday 11th May 2011 at 6:47 pm (local time) a magnitude 5.1 Mw earthquake occurred 6 km northeast of Lorca with a depth of around 2 km. As a consequence of the shallow depth and the small epicentral distance, important damage was produced in several masonry constructions and even led to the collapse of some of them. Pieces of the facades of several buildings fell down onto the sidewalk, being one of the reasons for the killing of a total of 9 people. The objective of this paper is to describe and analyze the failure patterns observed in unreinforced masonry buildings ranging from 3 to 8 floors in height. First, a brief description of the local building practices of masonry buildings is given. Then, the most important failure types of masonry buildings are described and discussed. After that, a more detailed analysis of one particular building is presented.

Level 2 reliability of simplified pushover methods

Pushover methods are being used as an everyday tool in engineering practice and some of them have been included in Regulatory Codes. Recently several efforts have been done trying to look at them from a probabilistic viewpoint. In this paper the authors shall present a Level 2 approach based on a probabilistic definition of the characteristic points defining the response spectra as well as a probabilistic definition of the elasto-plastic pushover curve representing the structural behavior. Comparisons with Montecarlo simulations will help to precise the accuracy of the proposed approach.

Vulnerability analysis of RC buildings with wide beams located in moderate seismicity regions

A significant number of short-to-mid height RC buildings with wide beams have been constructed in areas of moderate seismicity of Spain, mainly for housing and administrative use. The buildings have a framed structure with one-way slabs; the wide beams constitute the distinctive characteristic, their depth being equal to that of the rest of the slab, thus providing a flat lower surface, convenient for construction and the layout of facilities. Seismic behavior in the direction of the wide beams appears to be deficient because of: (i) low lateral strength, mainly because of the small effective depth of the beams, (ii) inherent low ductility of the wide beams, generated by high amount of reinforcement, (iii) the big strut compressive forces developed inside the column-beam connections due to the low height of the beams, and (iv) the fact that the wide beams are wider than the columns, meaning that the contribution of the outer zones to the resistance of the beam-column joints is unreliable because there is no torsion reinforcement. In the orthogonal direction, the behavior is worse since the only members of the slabs that contribute to the lateral resistance are the joists and the façade beams. Moreover, these buildings were designed with codes that did not include ductility requirements and required only a low lateral resistance; indeed, in many cases, seismic action was not considered at all. Consequently, the seismic capacity of these structures is not reliable. The objective of this research is to assess numerically this capability, whereas further research will aim to propose retrofit strategies. The research approach consists of: (i) selecting a number of 3-story and 6-story buildings that represent the vast majority of the existing ones and (ii) evaluating their vulnerability through three types of analyses, namely: code-type, push-over and nonlinear dynamic analysis. Given the low lateral resistance of the main frames, the cooperation of the masonry infill walls is accounted for; for each representative building, three wall densities are considered. The results of the analyses show that the buildings in question exhibit inadequate seismic behavior in most of the examined situations. In general, the relative performance is less deficient for Target Drift CP (Collapse Prevention) than for IO (Immediate Occupancy). Since these buildings are selected to be representative of the vast majority of buildings with wide beams that were constructed in Spain without accounting for any seismic consideration, our conclusions can be extrapolated to a broader scenario.

Diseño basado en técnicas de fiabilidad del tratamiento de mejora del terreno mediante columnas de grava

El proyecto geotécnico de columnas de grava tiene todas las incertidumbres asociadas a un proyecto geotécnico y además hay que considerar las incertidumbres inherentes a la compleja interacción entre el terreno y la columna, la puesta en obra de los materiales y el producto final conseguido. Este hecho es común a otros tratamientos del terreno cuyo objetivo sea, en general, la mejora “profunda”. Como los métodos de fiabilidad (v.gr., FORM, SORM, Monte Carlo, Simulación Direccional) dan respuesta a la incertidumbre de forma mucho más consistente y racional que el coeficiente de seguridad tradicional, ha surgido un interés reciente en la aplicación de técnicas de fiabilidad a la ingeniería geotécnica. Si bien la aplicación concreta al proyecto de técnicas de mejora del terreno no es tan extensa. En esta Tesis se han aplicado las técnicas de fiabilidad a algunos aspectos del proyecto de columnas de grava (estimación de asientos, tiempos de consolidación y aumento de la capacidad portante) con el objetivo de efectuar un análisis racional del proceso de diseño, considerando los efectos que tienen la incertidumbre y la variabilidad en la seguridad del proyecto, es decir, en la probabilidad de fallo. Para alcanzar este objetivo se ha utilizado un método analítico avanzado debido a Castro y Sagaseta (2009), que mejora notablemente la predicción de las variables involucradas en el diseño del tratamiento y su evolución temporal (consolidación). Se ha estudiado el problema del asiento (valor y tiempo de consolidación) en el contexto de la incertidumbre, analizando dos modos de fallo: i) el primer modo representa la situación en la que es posible finalizar la consolidación primaria, parcial o totalmente, del terreno mejorado antes de la ejecución de la estructura final, bien sea por un precarga o porque la carga se pueda aplicar gradualmente sin afectar a la estructura o instalación; y ii) por otra parte, el segundo modo de fallo implica que el terreno mejorado se carga desde el instante inicial con la estructura definitiva o instalación y se comprueba que el asiento final (transcurrida la consolidación primaria) sea lo suficientemente pequeño para que pueda considerarse admisible. Para trabajar con valores realistas de los parámetros geotécnicos, los datos se han obtenido de un terreno real mejorado con columnas de grava, consiguiendo, de esta forma, un análisis de fiabilidad más riguroso. La conclusión más importante, obtenida del análisis de este caso particular, es la necesidad de precargar el terreno mejorado con columnas de grava para conseguir que el asiento ocurra de forma anticipada antes de la aplicación de la carga correspondiente a la estructura definitiva. De otra forma la probabilidad de fallo es muy alta, incluso cuando el margen de seguridad determinista pudiera ser suficiente. En lo que respecta a la capacidad portante de las columnas, existen un buen número de métodos de cálculo y de ensayos de carga (tanto de campo como de laboratorio) que dan predicciones dispares del valor de la capacidad última de las columnas de grava. En las mallas indefinidas de columnas, los resultados del análisis de fiabilidad han confirmado las consideraciones teóricas y experimentales existentes relativas a que no se produce fallo por estabilidad, obteniéndose una probabilidad de fallo prácticamente nula para este modo de fallo. Sin embargo, cuando se analiza, en el contexto de la incertidumbre, la capacidad portante de pequeños grupos de columnas bajo zapatas se ha obtenido, para un caso con unos parámetros geotécnicos típicos, que la probabilidad de fallo es bastante alta, por encima de los umbrales normalmente admitidos para Estados Límite Últimos. Por último, el trabajo de recopilación sobre los métodos de cálculo y de ensayos de carga sobre la columna aislada ha permitido generar una base de datos suficientemente amplia como para abordar una actualización bayesiana de los métodos de cálculo de la columna de grava aislada. El marco bayesiano de actualización ha resultado de utilidad en la mejora de las predicciones de la capacidad última de carga de la columna, permitiendo “actualizar” los parámetros del modelo de cálculo a medida que se dispongan de ensayos de carga adicionales para un proyecto específico. Constituye una herramienta valiosa para la toma de decisiones en condiciones de incertidumbre ya que permite comparar el coste de los ensayos adicionales con el coste de una posible rotura y , en consecuencia, decidir si es procedente efectuar dichos ensayos. The geotechnical design of stone columns has all the uncertainties associated with a geotechnical project and those inherent to the complex interaction between the soil and the column, the installation of the materials and the characteristics of the final (as built) column must be considered. This is common to other soil treatments aimed, in general, to “deep” soil improvement. Since reliability methods (eg, FORM, SORM, Monte Carlo, Directional Simulation) deals with uncertainty in a much more consistent and rational way than the traditional safety factor, recent interest has arisen in the application of reliability techniques to geotechnical engineering. But the specific application of these techniques to soil improvement projects is not as extensive. In this thesis reliability techniques have been applied to some aspects of stone columns design (estimated settlements, consolidation times and increased bearing capacity) to make a rational analysis of the design process, considering the effects of uncertainty and variability on the safety of the project, i.e., on the probability of failure. To achieve this goal an advanced analytical method due to Castro and Sagaseta (2009), that significantly improves the prediction of the variables involved in the design of treatment and its temporal evolution (consolidation), has been employed. This thesis studies the problem of stone column settlement (amount and speed) in the context of uncertainty, analyzing two failure modes: i) the first mode represents the situation in which it is possible to cause primary consolidation, partial or total, of the improved ground prior to implementation of the final structure, either by a pre-load or because the load can be applied gradually or programmed without affecting the structure or installation; and ii) on the other hand, the second mode implies that the improved ground is loaded from the initial instant with the final structure or installation, expecting that the final settlement (elapsed primary consolidation) is small enough to be allowable. To work with realistic values of geotechnical parameters, data were obtained from a real soil improved with stone columns, hence producing a more rigorous reliability analysis. The most important conclusion obtained from the analysis of this particular case is the need to preload the stone columns-improved soil to make the settlement to occur before the application of the load corresponding to the final structure. Otherwise the probability of failure is very high, even when the deterministic safety margin would be sufficient. With respect to the bearing capacity of the columns, there are numerous methods of calculation and load tests (both for the field and the laboratory) giving different predictions of the ultimate capacity of stone columns. For indefinite columns grids, the results of reliability analysis confirmed the existing theoretical and experimental considerations that no failure occurs due to the stability failure mode, therefore resulting in a negligible probability of failure. However, when analyzed in the context of uncertainty (for a case with typical geotechnical parameters), results show that the probability of failure due to the bearing capacity failure mode of a group of columns is quite high, above thresholds usually admitted for Ultimate Limit States. Finally, the review of calculation methods and load tests results for isolated columns, has generated a large enough database, that allowed a subsequent Bayesian updating of the methods for calculating the bearing capacity of isolated stone columns. The Bayesian updating framework has been useful to improve the predictions of the ultimate load capacity of the column, allowing to "update" the parameters of the calculation model as additional load tests become available for a specific project. Moreover, it is a valuable tool for decision making under uncertainty since it is possible to compare the cost of further testing to the cost of a possible failure and therefore to decide whether it is appropriate to perform such tests.

The effect of boundary conditions in the numerical solution of 3-D thermoelastic problems

After the extensive research on the capabilities of the Boundary Integral Equation Method produced during the past years the versatility of its applications has been well founded. Maybe the years to come will see the in-depth analysis of several conflictive points, for example, adaptive integration, solution of the system of equations, etc. This line is clear in academic research. In this paper we comment on the incidence of the manner of imposing the boundary conditions in 3-D coupled problems. Here the effects are particularly magnified: in the first place by the simple model used (constant elements) and secondly by the process of solution, i.e. first a potential problem is solved and then the results are used as data for an elasticity problem. The errors add to both processes and small disturbances, unimportant in separated problems, can produce serious errors in the final results. The specific problem we have chosen is especially interesting. Although more general cases (i.e. transient)can be treated, here the domain integrals can be converted into boundary ones and the influence of the manner in which boundary conditions are applied will reflect the whole importance of the problem.

High speed railroad bridges. Conception, bases of design, typological possibilities and construction methods

Diseño conceptual de puentes de alta velocidad ferroviarios. Railroad bridges, in general, and those for high speed railways, in particular, demand very special conditions. The traffic loads are much higher than for road bridges. Loads due to braking and acceleration determine, due to their magnitude, the structural layout. Because of the speed of the vehicles there are specific dynamic effects which need to be considered. In order to ensure passenger comfort, compatible with speeds of up to 350 km/h, it is necessary to meet very demanding conditions with respect to stiffness, displacements and dynamic behavior. In this paper these conditions are briefly described and different typological possibilities to satisfy them are presented as well as the main construction methods applicable to this kind of bridges.

Acceso al agua y el saneamiento en la Ecorregión Lachuá, Guatemala. Estudio de caso: diagnóstico general del sector en la comunidad Las Promesas - Nueve Cerros.

RESUMEN EN ESPAÑOL El presente Trabajo de Fin de Máster comprende un diagnóstico general del sector del acceso al agua potable y el saneamiento en la Ecorregión Lachuá (Guatemala), considerando la comunidad Las Promesas – Nueve Cerros como caso de estudio representativo del resto de comunidades de la región Se presenta diversa información recopilada sobre aspectos del sector que resultan relevantes desde el punto de vista de las intervenciones de cooperación al desarrollo humano. En primer lugar, se caracteriza la situación a nivel de la ERL, atendiendo a la disponibilidad de recursos hídricos y al estado del acceso al agua y el saneamiento en el conjunto de sus comunidades. A continuación se realiza una descripción de la comunidad estudiada, incluyendo tanto sus características biofísicas como las socioeconómicas. Posteriormente, se describe la situación actual del acceso al agua y el saneamiento en la comunidad, teniendo en cuenta aspectos como la calidad y cantidad de los recursos hídricos disponibles en su territorio, así como los modos de acceso al agua por parte de su población y las formas de saneamiento existentes. En base a los resultados obtenidos, se identifica la problemática referente al sector en cuestión en la comunidad y se propone una serie de aspectos de organización y de alternativas técnicas que podrían formar parte de la solución, tomando en consideración las opiniones, preferencias y demandas que la población tiene al respecto. Finalmente, se analiza la viabilidad de esas alternativas y se describe de forma general la solución propuesta. ABSTRACT The present Master’s Thesis covers a general diagnosis of the drinking water and sanitation access sector in Ecorregión Lachuá (Guatemala), considering Las Promesas – Nueve Cerros community as a representative study case of the whole region communities. Diverse information compiled about these sector aspects which are relevant from the human development cooperation interventions point of view is given. First of all, a characterization is made in the ERL level, attending to the availability of water resources and the condition of water and sanitation access of all the communities. Then, a description of the studied community is undertaken, including both biophysical and socioeconomic characteristics. Subsequently, the current community water and sanitation access is described, considering aspects such as the quality and quantity of the water resources available in the territory as well as the population access modes and the existing sanitation forms. Based on the obtained results, the community problems of the sector in question are identified and a series of organizational aspects and technical alternatives are proposed as part of the solution, considering the local population opinions, preferences and demands. Finally, the viability of these alternatives is analyzed and the proposed solution is broadly described.

Survey on student motivation and approval of educational environment at Universidad Politécnica de Madrid within the European Higher Education area implementation

A recent study elaborated by Vicerrectorado de Ordenación Académica y Planificación Estratégica of Technical University of Madrid (UPM) defines the satisfaction of the university student body as "the response that the University offers to the expectations and demands of service of the students, considered in a general way ". Besides an indicator of academic and institutional insertion of the student, the assessment of student engagement allows us to adapt the academic offer and the extension services of the University to the real needs of the students. The process of convergence towards the European Higher Education Area (EHEA) raises the need to form in competitions, that is to say, of developing in our students capacities and knowledge beyond the purely theoretical-practical thing. Therefore, the perception and experience of the educational process and environment by the students is an important issue to be addressed to accomplish their expectations and achieve a curriculum accordingly to EHEA expectations. The present study aims to explore the student motivation and approval of the educational environment at the UPM. To this end a total of 97 students enrolled in the undergraduate program of Civil Engineering, Computer Engineering and Agronomic Engineering at UPM were surveyed. The survey consisted of 40 questions divided in three blocks. The first one of 20 questions of personal character in that they were gathering, besides the sex and the age, the degree of fulfilment, implication and dedication with the institution and the academic tasks. In the second block we identify 10 questions related to the perception of the student on the teaching quality, and finally a block of 10 questions regarding the Bologna Process. The students personal motivation was moderately high, with a score of 3.6 (all scores are provided on a 5-point scale), being the most valuable items obtaining a university degree (4,3) and the friendship between students (4,2). Any significant difference was shown between sexes (P=0.23) since the averages for this block of questions were of 3.7±0.3 and 3.5±0.4 for women and men respectively. The students are moderately satisfied with their graduate studies with an average score of 3,2, being the questions that reflect a minor satisfaction the research profile of the teachers (2,8) and the organization of the Schools (2,9). The best valued questions are related to the usefulness and quality of the degrees, with 3,5 and 3,4 respectively, and to the interest of the courses within the degree (3,4). For sexes, the results of this block of questions are similar (3.1±0.3 and 3.2±0.3 for men and women respectively=0.79). Also, there were no differences (P=0.39) between the students who arrange work and studies or do not work (3.1±0.2 and 3.2±0.3 respectively). In conclusion, students at UPM present an acceptable degree of motivation and satisfaction with regard to the studies and services that offer their respective Schools. Both characteristics receive the same value both for men and for women and so much for students who arrange work and studies as for those who devote themselves only to studying. In a significant way, students who are more engaged and are in-class attendants present the major degree of satisfaction.Overall, there is a great lack of information regarding the Bologna Process. In fact to the majority, they would like to know more on what it is, what it means and what changes will involve its implementation.

Modelo gráfico para la datación de vías romanas empedradas a partir del estudio de sus estados de frecuentación y del análisis superficial de roderas

La presente tesis doctoral se orienta al estudio y análisis de los caminos empedrados antiguos, desde la época prerromana, tanto desde el punto de vista histórico como desde el técnico. La cuantificación de la romanidad de un camino representa un objetivo importante para la mayoría de los estudiosos de la caminería antigua, así como para los arqueólogos, por los datos que ofrece acerca del uso del territorio, los trazados de caminos en la antigüedad y los tráficos asociados. Cuantificar la romanidad de un camino no es tarea sencilla debido a que intervienen multitud de condicionantes que están vivos y son cambiantes como consecuencia del dinamismo inherente al propio camino. En cuanto al aspecto histórico, se realiza una descripción y análisis de la evolución del camino en la Península Ibérica desde sus orígenes hasta mediados del siglo XX, que permite diferenciar la red itineraria según su momento histórico. Así mismo, se describen y analizan: las ruedas y los carros desde sus orígenes, especialmente en la época romana -incluyendo una toma de medidas de distintos tipos de carro, existentes en instituciones y colecciones particulares-; las técnicas de transporte en la antigüedad y las características de la infraestructura viaria de época romana, detallando aspectos generales de sus técnicas de ingeniería y construcción. Desde el punto de vista técnico, el enfoque metodológico ha sido definir un Índice de Romanidad del Camino (IRC) para la datación de vías romanas empedradas, basado en un análisis multicriterio, a partir de los distintos factores que caracterizan su romanidad. Se ha realizado un exhaustivo estudio de campo, con la correspondiente toma de datos en las vías. Se han realizado una serie de ensayos de laboratorio con un prototipo creado exprofeso para simular el desgaste de la piedra producido por el traqueteo del carro al circular por el camino empedrado y dar una hipótesis de datación del camino. Se ha realizado un tratamiento estadístico con la muestra de datos medidos en campo. Se ha definido además el concepto de elasticidad de rodera usando la noción de derivada elástica. En cuanto a los resultados obtenidos: se ha calculado el Índice de Romanidad del Camino (IRC) en una serie de vías empedradas, para cuantificar su romanidad, obteniéndose un resultado coherente con la hipótesis previa sobre la datación de dichas vías; y se ha formulado un modelo exponencial para el número de frecuentaciones de carga que lo relaciona con la elasticidad de rodera y con su esbeltez y que se ha utilizado para relacionar la elasticidad de la rodera con la geología de la roca. Se ha iniciado una línea de investigación sobre la estimación de tráficos históricos en la caminería antigua, considerando que el volumen de tráfico a lo largo del tiempo en un tramo de vía está relacionado con los valores de elasticidad de rodera de dicho tramo a través de la tipología de la roca. En resumen, la presente tesis doctoral proporciona un método para sistematizar el estudio de los caminos antiguos, así como para datarlos y estimar la evolución de sus tráficos. The present Ph. D. Thesis aims to study and to analyze ancient cobbled ways, since pre-roman times, both from the historical and technical points of view. The quantification of the Roman character of a way represents an important target for most of the researchers of ancient ways, as well as for the archaeologists, due to information that it offers about the use of the territory, the tracings of ways in the antiquity and the associate flows. To quantify the Roman character of a way is not a simple task because it involves multitude of influent factors that are alive and variable as a result of the dynamism inherent to the way. As for the historical aspect, a description and analysis of the evolution of the way in the Iberian Peninsula from its origins until the middle of the twentieth century has been done. This allows us to distinguish between elements of the network according to its historical moment. Likewise, a description and analysis is given about: the wheels and the cars since their origins, especially in the Roman time - including a capture of measurements of different types of car, belonging to institutions and to particular collections-; the transport techniques on the antiquity and the characteristics of the road infrastructure of Roman epoch, detailing general technical engineering and constructive aspects. From the technical point of view, the methodological approach has been to define an Index of the Roman Character of the Way (IRC) for the dating of cobbled Roman routes, based on a multi-criterion analysis, involving different factors typical of Roman ways. An exhaustive field study has been realized, with the corresponding capture of information in the routes. A series of laboratory essays has been realized with an ad hoc prototype created to simulate the wear of the stone produced by cars circulating along the cobbled way, and to give a dating hypothesis of the way. A statistical treatment has been realized with the sample of information measured in field. There has been defined also the concept of elasticity of rolling trace using the notion of elastic derivative. As for the obtained results: there has been calculated the Index of Roman Character of the Way (IRC) in a series of cobbled routes, to quantify its Roman character, obtaining a coherent result with the previous dating hypothesis of the above mentioned routes; and an exponential model has been formulated for the number of frequent attendances of load that relates this number to the elasticity of rolling trace and to its slenderness and that has been used to relate the elasticity of the rolling trace to the geology of the rock. An investigation line has been opened about the estimation of historical flows in ancient ways, considering that the traffic volume over the course of time in a route stretch is related to the values of elasticity of rolling trace of the above mentioned stretch by means of the typology of the rock. In short, the present Ph. D. Thesis provides a method to systematize the study of ancient ways, as well as to date them and to estimate the evolution of their flows.

Seismicity and seismic risk in Spain = Sismicite et risque sismique en Espagne

The spanish seismic norm has a direct application in building construction but it recomends specific studies in the case of important public works such us large dams or bridges. For this reason, and to establish specifical criteria in its field of activity, the Dirección General de Obras Hidráulicas of the spanish Ministerio de Obras Públicas y Urbanismo commissioned us a seismotectonical and seismic risk study applicable to Spain, materialized on a series of maps of inmediate and direct use. In this paper we explain the methodology pursued to obtain these maps. It has required, firstly, investigations with the aim to improve the seismic information corresponding to the historical or preinstrumental period, that allowed more precise cuantifications. Secondly, these data have been processed by probabilistic methods, using de intensity as foundamental parameter. The corresponding maps have been developed. Finally, other maps of seismic accelerations have been compiled. La normative sismorresistent espagnole á une application directe dans 1'edification, mais elle recommend la realitation des etudes especifiques dans le cas des travaux publics importants telles que ponts ou barrages. Pour cette raison et pour etablir des criteres especifiques dans son camp dáctivité, la Direccion General de Obras Hidraulicas du Ministerio de Obras Publicas y Urbanismo espagnol a commande un etude sismotectonique et de risque sismique applicable a l'Espagne, materialise en une serie de cartes de utilization directe et inmediate. Dans cette communication on explique la methodologie a suivre pour la realization de cettes cartes. Celá a fait necessaire, d'abord, des recherches pour amelliorer l'information concernant le periode historique ou preinstrumental, ce qui permet des cuantifications plus precises. En second lieu ces faits ont ête traités avec des methodes probabilistes, employant l'intensité come parametre fondamental. En consequence nous avons developpe des cartes d'intensite et d'acceleration sismique.

Una casa para Einstein: Konrad Wachsmann y la evolución de un modelo prefabricado desde las casas "Christoph & Unmack A. G." al "General Panel System"

Este artículo estudia la evolución del modelo de vivienda prefabricada en madera que construye Konrad Wachsmann para Einstein en 1929 en Caputh, cerca de Potsdam. El físico deseaba construirse un "lugar de descanso", eligiendo la construcción en madera por su facilidad y rapidez de montaje, adaptabilidad, calidez y para que armonizara mejor con el medio ambiente. Wachsmann, que trabajaba para la firma "Christoph & Unmack A.G." le presentará un modelo prefabricado moderno. Esta tipología, evolucionada desde los diseños "nórdico-escandinavo" y "jugendstil", hasta introducir un nuevo lenguaje de líneas puras, cubierta plana, y grandes ventanales, será ligeramente modificada por Einstein, que finalmente adjudica el encargo. Wachsmann continuará la labor de investigación sobre vivienda prefabricada junto con Gropius en EEUU, que dará como resultado el "General Panel System" y sus conocidas "Packaged Houses".

Analysis of the problems associated with dynamic interaction between train, track and structure at transition zones

El gran desarrollo experimentado por la alta velocidad en los principales países de la Unión Europea, en los últimos 30 años, hace que este campo haya sido y aún sea uno de los principales referentes en lo que a investigación se refiere. Por otra parte, la aparición del concepto super − alta velocidad hace que la investigación en el campo de la ingeniería ferroviaria siga adquiriendo importancia en los principales centros de investigación de los países en los que se desea implantar este modo de transporte, o en los que habiendo sido ya implantado, se pretenda mejorar. Las premisas de eficacia, eficiencia, seguridad y confort, que este medio de transporte tiene como razón de ser pueden verse comprometidas por diversos factores. Las zonas de transición, definidas en la ingeniería ferroviaria como aquellas secciones en las que se produce un cambio en las condiciones de soporte de la vía, pueden afectar al normal comportamiento para el que fue diseñada la infraestructura, comprometiendo seriamente los estándares de eficiencia en el tiempo de viaje, confort de los pasajeros y aumentando considerablemente los costes de mantenimiento de la vía, si no se toman las medidas oportunas. En esta tesis se realiza un estudio detallado de la zonas de transición, concretamente de aquellas en las que existe una cambio en la rigidez vertical de la vía debido a la presencia de un marco hidráulico. Para realizar dicho estudio se lleva a cabo un análisis numérico de interacción entre el vehículo y la estructura, con un modelo bidimensional de elemento finitos, calibrado experimentalmente, en estado de tensión plana. En este análisis se tiene en cuenta el efecto de las irregularidades de la vía y el comportamiento mecánico de la interfaz suelo-estructura, con el objetivo de reproducir de la forma más real posible el efecto de interacción entre el vehículo, la vía y la estructura. Otros efectos como la influencia de la velocidad del tren y los asientos diferenciales, debidos a deformaciones por consolidación de los terraplenes a ambos lados el marco hidráulico, son también analizados en este trabajo. En esta tesis, los cálculos de interacción se han llevado a cabo en dos fases diferentes. En la primera, se ha considerado una interacción sencilla debida al paso de un bogie de un tren Eurostar. Los cálculos derivados de esta fase se han denominado cálculos a corto plazo. En la segunda, se ha realizado un análisis considerando múltiples pasos de bogie del tren Eurostar, conformando un análisis de degradación en el que se tiene en cuenta, en cada ciclo, la deformación de la capa de balasto. Los cálculos derivados de esta fase, son denominados en el texto como cálculos a largo plazo. Los resultados analizados muestran que la utilización de los denominados elementos de contacto es fundamental cuando se desea estudiar la influencia de asientos diferenciales, especialmente en transiciones terraplén-estructura en las que la cuña de cimentación no llega hasta la base de cimentación de la estructura. Por otra parte, tener en cuenta los asientos del terraplén, es sumamente importante, cuando se desea realizar un análisis de degradación de la vía ya que su influencia en la interacción entre el vehículo y la vía es muy elevada, especialmente para valores altos de velocidad del tren. En cuanto a la influencia de las irregularidades de la vía, en los cálculos efectuados, se revela que su importancia es muy notable, siendo su influencia muy destacada cuanto mayor sea la velocidad del tren. En este punto cabe destacar la diferencia de resultados derivada de la consideración de perfiles de irregularidades de distinta naturaleza. Los resultados provenientes de considerar perfiles artificiales son en general muy elevados, siendo estos más apropiados para realizar estudios de otra índole, como por ejemplo de seguridad al descarrilamiento. Los resultados provenientes de perfiles reales, dados por diferentes Administradores ferroviarios, presentan resultados menos elevados y más propios del problema analizar. Su influencia en la interacción dinámica entre el vehículo y la vía es muy importante, especialmente para velocidades elevadas del tren. Además el fenómeno de degradación conocido como danza de traviesas, asociado a zonas de transición, es muy susceptible a la consideración de irregularidades de la vía, tal y como se desprende de los cálculos efectuados a largo plazo. The major development experienced by high speed in the main countries of the European Union, in the last 30 years, makes railway research one of the main references in the research field. It should also be mentioned that the emergence of the concept superhigh − speed makes research in the field of Railway Engineering continues to gain importance in major research centers in the countries in which this mode of transportation is already implemented or planned to be implemented. The characteristics that this transport has as rationale such as: effectiveness, efficiency, safety and comfort, may be compromised by several factors. The transition zones are defined in railway engineering as a region in which there is an abrupt change of track stiffness. This stiffness variation can affect the normal behavior for which the infrastructure has been designed, seriously compromising efficiency standards in the travel time, passenger comfort and significantly increasing the costs of track maintenance, if appropriate measures are not taken. In this thesis a detailed study of the transition zones has been performed, particularly of those in which there is a change in vertical stiffness of the track due to the presence of a reinforced concrete culvert. To perform such a study a numerical interaction analysis between the vehicle, the track and the structure has been developed. With this purpose a two-dimensional finite element model, experimentally calibrated, in a state of plane stress, has been used. The implemented numerical models have considered the effects of track irregularities and mechanical behavior of soil-structure interface, with the objective of reproducing as accurately as possible the dynamic interaction between the vehicle the track and the structure. Other effects such as the influence of train speed and differential settlement, due to secondary consolidation of the embankments on both sides of culvert, have also been analyzed. In this work, the interaction analysis has been carried out in two different phases. In the first part a simple interaction due to the passage of a bogie of a Eurostar train has been considered. Calculations derived from this phase have been named short-term analysis. In the second part, a multi-load assessment considering an Eurostar train bogie moving along the transition zone, has been performed. The objective here is to simulate a degradation process in which vertical deformation of the ballast layer was considered. Calculations derived from this phase have been named long-term analysis. The analyzed results show that the use of so-called contact elements is essential when one wants to analyze the influence of differential settlements, especially in embankment-structure transitions in which the wedge-shaped backfill does not reach the foundation base of the structure. Moreover, considering embankment settlement is extremely important when it is desired to perform an analysis of track degradation. In these cases the influence on the interaction behaviour between the vehicle and the track is very high, especially for higher values of speed train. Regarding the influence of the track irregularities, this study has proven that the track’s dynamic response is heavily influenced by the irregularity profile and that this influence is more important for higher train velocities. It should also be noted that the difference in results derived from consideration of irregularities profiles of different nature. The results coming from artificial profiles are generally very high, these might be more appropriate in order to study other effects, such as derailment safety. Results from real profiles, given by the monitoring works of different rail Managers, are softer and they fit better to the context of this thesis. The influence of irregularity profiles on the dynamic interaction between the train and the track is very important, especially for high-speeds of the train. Furthermore, the degradation phenomenon known as hanging sleepers, associated with transition zones, is very susceptible to the consideration of track irregularities, as it can be concluded from the long-term analysis.

Investigación sobre las causas que pudieron originar el hundimiento de la cubierta del tercer depósito del Canal de Isabel II en 1905

En la presente investigación se analiza la causa del hundimiento del cuarto compartimento del Tercer Depósito del Canal de Isabel II el 8 de abril de 1905, uno de los más graves de la historia de la construcción en España: fallecieron 30 personas y quedaron heridas otras 60. El Proyecto y Construcción de esta estructura era de D. José Eugenio Ribera, una de las grandes figuras de la ingeniería civil en nuestro país, cuya carrera pudo haber quedado truncada como consecuencia del siniestro. Dado el tiempo transcurrido desde la ocurrencia de este accidente, la investigación ha partido de la recopilación de la información relativa al Proyecto y a la propia construcción de la estructura, para revisar a continuación la información disponible sobre el hundimiento. De la construcción de la cubierta es interesante destacar la atrevida configuración estructural, cubriéndose una inmensa superficie de 74.000 m2 mediante una sucesión de bóvedas de hormigón armado de tan sólo 5 cm de espesor y un rebajamiento de 1/10 para salvar una luz de 6 m, que apoyaban en pórticos del mismo material, con pilares también muy esbeltos: 0,25 m de lado para 8 m de altura. Y todo ello en una época en la que la tecnología y conocimiento de las estructuras con este "nuevo" material se basaban en buena medida en el desarrollo de patentes. En cuanto a la información sobre el hundimiento, llama la atención en primer lugar la relevancia de los técnicos, peritos y letrados que intervinieron en el juicio y en el procedimiento administrativo posterior, poniéndose de manifiesto la trascendencia que el accidente tuvo en su momento y que, sin embargo, no ha trascendido hasta nuestros días. Ejemplo de ello es el papel de Echegaray -primera figura intelectual de la época- como perito en la defensa de Ribera, de D. Melquiades Álvarez -futuro presidente del Congreso- como abogado defensor, el General Marvá -uno de los máximos exponentes del papel de los ingenieros militares en la introducción del hormigón armado en nuestro país-, que presidiría la Comisión encargada del peritaje por parte del juzgado, o las opiniones de reconocidas personalidades internacionales del "nuevo" material como el Dr. von Emperger o Hennebique. Pero lo más relevante de dicha información es la falta de uniformidad sobre lo que pudo ocasionar el hundimiento: fallos en los materiales, durante la construcción, defectos en el diseño de la estructura, la realización de unas pruebas de carga cuando se concluyó ésta, etc. Pero la que durante el juicio y en los Informes posteriores se impuso como causa del fallo de la estructura fue su dilatación como consecuencia de las altas temperaturas que se produjeron aquella primavera. Y ello a pesar de que el hundimiento ocurrió a las 7 de la mañana... Con base en esta información se ha analizado el comportamiento estructural de la cubierta, permitiendo evaluar el papel que diversos factores pudieron tener en el inicio del hundimiento y en su extensión a toda la superficie construida, concluyéndose así cuáles fueron las causas del siniestro. De los resultados obtenidos se presta especial atención a las enseñanzas que se desprenden de la ocurrencia del hundimiento, enfatizándose en la relevancia de la historia -y en particular de los casos históricos de error- para la formación continua que debe existir en la Ingeniería. En el caso del hundimiento del Tercer Depósito algunas de estas "enseñanzas" son de plena actualidad, tales como la importancia de los detalles constructivos en la "robustez" de la estructuras, el diseño de estructuras "integrales" o la vigilancia del proceso constructivo. Por último, la investigación ha servido para recuperar, una vez más, la figura de D. José Eugenio Ribera, cuyo papel en la introducción del hormigón armado en España fue decisivo. En la obra del Tercer Depósito se arriesgó demasiado, y provocó un desastre que aceleró la transición hacia una nueva etapa en el hormigón estructural al abrigo de un mayor conocimiento científico y de las primeras normativas. También en esta etapa sería protagonista. This dissertation analyses the cause of the collapse of the 4th compartment of the 3th Reservoir of Canal de Isabel II in Madrid. It happened in 1905, on April 8th, being one of the most disastrous accidents occurred in the history of Spanish construction: 30 people died and 60 were injured. The design and construction supervision were carried out by D. José Eugenio Ribera, one of the main figures in Civil Engineering of our country, whose career could have been destroyed as a result of this accident. Since it occurred more than 100 years ago, the investigation started by compiling information about the structure`s design and construction, followed by reviewing the available information about the accident. With regard to the construction, it is interesting to point out its daring structural configuration. It covered a huge area of 74.000 m2 with a series of reinforced concrete vaults with a thickness of not more than 5 cm, a 6 m span and a rise of 1/10th. In turn, these vaults were supported by frames composed of very slender 0,25 m x 0,25 m columns with a height of 8 m. It is noteworthy that this took place in a time when the technology and knowledge about this "new" material was largely based on patents. In relation to the information about the collapse, its significance is shown by the important experts and lawyers that were involved in the trial and the subsequent administrative procedure. For example, Echegaray -the most important intellectual of that time- defended Ribera, Melquiades Álvarez –the future president of the Congress- was his lawyer, and General Marvá -who represented the important role of the military engineers in the introduction of reinforced concrete in our country-, led the Commission that was put in charge by the judge of the root cause analysis. In addition, the matter caught the interest of renowned foreigners like Dr. von Emperger or Hennebique and their opinions had a great influence. Nonetheless, this structural failure is unknown to most of today’s engineers. However, what is most surprising are the different causes that were claimed to lie at the root of the disaster: material defects, construction flaws, errors in the design, load tests performed after the structure was finished, etc. The final cause that was put forth during the trial and in the following reports was attributed to the dilatation of the roof due to the high temperatures that spring, albeit the collapse occurred at 7 AM... Based on this information the structural behaviour of the roof has been analysed, which allowed identifying the causes that could have provoked the initial failure and those that could have led to the global collapse. Lessons have been learned from these results, which points out the relevance of history -and in particular, of examples gone wrong- for the continuous education that should exist in engineering. In the case of the 3th Reservoir some of these lessons are still relevant during the present time, like the importance of detailing in "robustness", the design of "integral" structures or the due consideration of construction methods. Finally, the investigation has revived, once again, the figure of D. José Eugenio Ribera, whose role in the introduction of reinforced concrete in Spain was crucial. With the construction of the 3th Reservoir he took too much risk and caused a disaster that accelerated the transition to a new era in structural concrete based on greater scientific knowledge and the first codes. In this new period he would also play a major role.

Caracterización hidráulica, hidrogeológica y patrimonial de las fuentes públicas naturales de la Comunidad de Madrid : propuesta metodológica para su catalogación

Las fuentes como parte de la ingeniería hidráulica, quizás menor, de nuestro país son elementos urbanos, funcionales y de gran interés en el pasado, que poco a poco han ido en decadencia desde la traída de aguas domiciliares. No obstante, entre nosotros, hay magníficas obras de ingeniería muy bien estudiadas y ejecutadas técnicamente pero que a la par representan elementos artísticos de gran interés y representatividad. No en vano en la última ley de Patrimonio Histórico Artístico de la Comunidad de Madrid (ley 3/2013), se requiere su estudio y catalogación a nivel municipal. La técnica de su diseño, es bien conocida desde muy antiguo. Ya los romanos hacían uso de una precisión milimétrica para el cálculo de las pendientes de las conducciones subterráneas que llevaban el agua intacta hasta su destino tras recorrer decenas de kilómetros sin necesidad de energía externa para ello. La calidad de sus aguas, muy ligada al sustrato determinaba en gran medida asentamientos y usos que según su popularidad, podían incluso restringirse a distintos niveles sociales La obra arquitectónica asociada, también cobraba especial relevancia por su singularidad, monumentalidad y aspecto. Muchas son las tendencias arquitectónicas que se dan cita en las fuentes estudiadas, que además, encierran tras de sí gran riqueza de carácter histórico. Esta investigación se centra en el inventariado, catalogación y caracterización de una muestra representativa de fuentes naturales madrileñas (550 fuentes), el estudio pormenorizado de las variables utilizadas en su caracterización, a través de tratamientos inferenciales, y el diseño experimental “ad hoc” de una propuesta metodológica de catalogación y caracterización 360° (desde la captación hasta la salida de aguas por el caño). La investigación finaliza con la puesta en práctica de la metodología diseñada, a través del estudio, catalogación y caracterización de un caso concreto. La presente investigación se centra en la Comunidad de Madrid, pero la propuesta metodológica que se propone como aportación, es extrapolable a cualquier tipo de fuente en cualquier municipio. Con todo ello, se pretende poner en valor estas obras de ingeniería ignorada, y contribuir de alguna forma a su preservación, facilitando su catalogación y difundiendo su existencia. As a minor relevant part of hydraulic engineering, the fountains of our country are urban, functional and of great interest in the past. The relevancy of these fountains has gradually declined since the emergence of general water supply. However, in our environment, there are magnificent works of engineering very well studied and executed, that also represent good examples of art and historical interest. In this way, the Historical and Artistic Heritage Law of the Community of Madrid (Ley 3/2013), requests the councils, their study and categorization. Their technical design is well known since ancient times. Even the Romans were able to use pinpoint accuracy (just a few millimeters), to calculate the slopes of the underground pipes which supply water, in perfect conditions, to its target, and without using external sources of energy. In this cases, the water quality of which was obviously linked to the type of substrate, conditioned the settlements and even its use, that could be restricted to certain social classes. In some cases, the engineering works of these fountains were especially relevant for its uniqueness, monumentality and appearance. There are many architectural trends that come together in the studied fountains, which also contain of its own historical character. This research is focused on inventory categorization and characterization of a representative sample of 550 natural fountains in Madrid. It includes the detailed study of the variables used in its characterization, through inferential treatments, and the "ad hoc" experimental design of a methodology for the categorization and a 360 ° characterization, from the catchment to the spout. Finally, the research ends with the implementation of the designed methodology, through the study, categorization and characterization of a specific case. Although this research is focused on fountains from Madrid surroundings, the main value is that the purposed methodology can be extrapolated to to manyother cases. To highlight these ignored engineering works, and contribute to its preservation making easier their categorization and spreading their existence, set the main aim of this research.