Wedges and plate-bandes: mechanical theories after De la Hire

Plate-bandes are straight masonry arches (they are called, also, flat arches or lintel arches). Ideally they have the surfaces of extrados and intrados plane and horizontal. The stones or bricks have radial joints converging usually in one centre. The voussoirs have the form of wedges and in French they are called "claveaux". A plate-bande is, in fact, a lintel made of several stones and the proportions of lintels and plate-bandes are similar. Proportions of plate-bandes, that is the relationship between the thickness t and the span s (t/s)varies, typically between 1/4–1/3 in thick plate-bandes, and is less than 1/20 in the most slender ones. A ratio of circa 1/8 was usual in the 18th Century and follows a simple geometrical rule: the centre form with the intrados an equilateral triangle and the plate-bande should contain an arc of circle. The joints are usually plane, but in some cases present a «rebated» or «stepped» form. Plate-bandes exert an inclined thrust as any masonry arch. This thrust is usually very high and it requires either massive buttresses, or to be built in the middle of thick walls. Master builders and architects have tried since antiquity to calculate the abutment necessary for any arch. A modern architect or engineer will measure the arch thrust in units of force, kN or tons. Traditionally, the thrust has been measured as the size of the buttresses to resist it safely. Old structural rules, then, addressed the design problem establishing a relationship between the span and the depth of the buttress. These were empirical rules, particular for every type of arch or structure in every epoch. Thus, the typical gothic buttress is 1/4 of the vault span, but a Renaissance or baroque barrel vault will need more than 1/3 of the span. A plate-bande would require more than one half of the span; this is precisely the rule cited by the French engineer Gautier, who tried unsuccessfully to justify it by static reasons. They were used, typically, to form the lintels of windows or doors (1-2 m, typically); in Antiquity they were used, also, though rarely, at the gates of city walls or in niches (ca. 2 m, reaching 5.2 m). Plate-bandes may show particular problems: it is not unusual that some sliding of the voussoirs can be observed, particularly in thick plate-bandes. The stepped joints on Fig. 1, left, were used to avoid this problem. There are other «hidden» methods, like iron cramps or the use of stone wedges, etc. In seismic zones these devices were usual. Another problem relates to the deformation; a slight yielding of the abutments, or even the compression of the mortar joints, may lead to some cracking and the descent of the central keystone. Even a tiny descent will convert the original straight line of the intrados in a broken line with a visible «kink» or angle in the middle. Of course, both problems should be avoided. Finally, the wedge form of the voussoirs lead to acute angles in the stones and this can produce partial fractures; this occurs usually at the inferior border of the springers at the abutments. It follows, that to build a successful plate-bande is not an easy matter. Also, the structural study of plate-bandes is far from simple, and mechanics and geometry are related in a particular way. In the present paper we will concentrate on the structural aspects and their constructive consequences, with a historical approach. We will outline the development of structural analysis of plate-bandes from ca. 1700 until today. This brief history has a more than purely academic interest. Different approaches and theories pointed to particular problem, and though the solution given may have been incorrect, the question posed was often pertinent. The paper ends with the application of modern Limit Analysis of Masonry Structures, developed mainly by professor Heyman in the last fifty years. The work aims, also, to give some clues for the actual architect and engineer involved in the analysis or restoration of masonry buildings.

Revisión sobre el estado del arte del análisis de ciclo de vida para tableros derivados de la madera

El presente trabajo tiene por objeto realizar una revisión del „estado del arte‟ sobre los estudios del análisis de ciclo de vida de la madera, más concretamente el caso de los tableros derivados, ya que conforman el eslabón que permite su reutilización en fases sucesivas, asumiéndose de forma intrínseca el concepto de reciclado dentro de la cadena de transformación de esta industria. Todo ello sumado a las ventajas medioambientales de la madera caracterizadas por el efecto sumidero del CO2, así como la reducción del consumo de energía en el proceso de fabricación. En la etapa de recopilación de la documentación durante la búsqueda, se han tratado de recoger y resaltar aquellas experiencias, más interesantes e innovadoras, llevadas a cabo en los últimos años en el tema mencionado, tratando de extraer aquellos casos que permitan obtener una visión tanto de las tendencias en el ámbito internacional como del nacional, e incluso local. De la información aquí recogida sobre el análisis del ciclo de vida de los productos derivados de la madera, se busca constatar las ventajas resultantes de su empleo, respecto de otros materiales.

Modelling Crowd Load for Floor Vibration Analysis

The dynamic floor loads induced by crowds in gymnasium or stadium structures are commonly modelled by superposition of the individual contributions using reduction factors for the different Fourier coefficients. These Fourier coefficients and the reduction factors are calculated using full scale measurements. Generally the testing is performed on platforms or structures that can be considered rigid, such that the natural frequencies are higher than the frequencies of the spectator movement. In this paper we shall present the testing done on a structure that used to be a gymnasium as well as the procedure used to identify its dynamic properties and a first evaluation of the socalled “group effect”.

Estabilidad del tráfico en viaductos de carretera y ferrocarril

Cuando un automóvil o un tren circula sobre un viaducto se producen efectos dinámicos que, además de aumentar los esfuerzos que ha de soportar el puente, afectan a los propios vehículos. Los fenómenos de vibración lateral en los viaductos de ferrocarril están contemplados de manera muy sucinta en la normativa y pueden afectar a la seguridad y comodidad del tráfico. En el caso de las carreteras, esa dinámica también puede contribuir al riesgo de accidente y al aumento de la sensación de incomodidad, sobre todo si se considera la presencia de vientos laterales. La preocupación por estos fenómenos queda reflejada en el número de artículos publicados en revistas científicas en los últimos años. Para este trabajo se han desarrollado modelos de interacción dinámica que representan el comportamiento de las estructuras, mediante el método de los elementos finitos, y el de los vehículos, mediante sistemas multicuerpo.

Models for Lateral Dynamic Interaction of High-Speed Trains and Bridges

In this work a methodology for analysing the lateral coupled behavior of large viaducts and high-speed trains is proposed. The finite element method is used for the structure, multibody techniques are applied for vehicles and the interaction between them is established introducing wheel-rail nonlinear contact forces. This methodology is applied for the analysis of the railway viaduct of the R´ıo Barbantino, which is a very long and tall bridge in the north-west spanish high-speed line.

A prototype from the Solar Decathlon Competition becomes an educational building in sustanaible architecture

In 2008, the City Council of Rivas-Vaciamadrid (Spain) decided to promote the construction of “Rivasecopolis”, a complex of sustainable buildings in which a new prototype of a zero-energy house would become the office of the Energy Agency. According to the initiative of the City Council, it was decided to recreate the dwelling prototype “Magic-box” which entered the 2005 Solar Decathlon Competition. The original project has been adapted to a new necessities programme, by adding the necessary spaces that allows it to work as an office. A team from university has designed and carried out the direction of the construction site. The new Solar House is conceived as a “testing building”. It is going to become the space for attending citizens in all questions about saving energy, energy efficiency and sustainable construction, having a permanent small exhibition space additional to the working places for the information purpose. At the same time, the building includes the use of experimental passive architecture systems and a monitoring and control system. Collected data will be sent to University to allow developing research work about the experimental strategies included in the building. This paper will describe and analyze the experience of transforming a prototype into a real durable building and the benefits for both university and citizens in learning about sustainability with the building

Modelización numérica del comportamiento mecánico de un fieltro de polipropileno

En el presente trabajo se presenta un modelo del continuo para un fieltro denso. Igualando la densidad de potencia de un elemento del continuo a la densidad de potencia mecánica que actúa sobre el conjunto de las fibras se obtiene una expresión del tensor de tensiones en la configuración de referencia. El modelo se completa mediante la inclusión de un modelo de daño para modelar fenomenológicamente los mecanismos de extracción (pull-out) y rotura de las fibras. Se ha implementado el modelo como una subrutina de material de usuario para un código de elementos finitos (ABAQUSExplicit), formulado en grandes deformaciones. Los resultados obtenidos se han comparado con experimentos realizados sobre un fieltro comercial (geotextil) de fibras de polipropileno y muestran que el modelo es capaz de reproducir el comportamiento del material hasta la localización del daño y pérdida de capacidad portante del mismo.

Asymmetric propagation of airblast from bench blasting

This paper investigates the propagation of airblast from quarry blasting. Peak overpressure is calculated as a function of blasting parameters (explosive mass per delay and velocity at which the detonation sequence proceeds along the bench) and polar coordinates of the point of interest (distance to the blast and azimuth with respect to the free face of the blast). The model is in the form of the product of a classical scaled distance attenuation law times a directional correction factor. The latter considers the influence of the bench face, and attenuates overpressure at the top level and amplifies it at the bottom. Such factor also accounts for the effect of the delay by amplifying the pressure in the direction of the initiation sequence if the velocity of initiation exceeds half the speed of sound and up to an initiation velocity in the range of the speed of sound. The model has been fitted to an empirical data set composed by 134 airblast records monitored in 47 blasts at two quarries. The measurements were made at distances to the blast less than 450 m. The model is statistically significant and has a determination coefficient of 0.869

On loader productivity, rock strength and explosive energy in metal mining

Twenty production blasts in two open pit mines were monitored, in rocks with medium to very high strength. Three different blasting agents (ANFO, watergel and emulsion blend) were used, with powder factors ranging between 0.88 and 1.45 kg/m3. Excavators were front loaders and rope shovels. Mechanical properties of the rock, blasting characteristics and mucking rates were carefully measured. A model for the calculation of the productivity of excavators is developed thereof, in which the production rate results as a product of an ideal, maximum, productivity rate times an operating efficiency. The maximum rate is a function of the dipper capacity and the efficiency is a function of rock density, strength, and explosive energy concentration in the rock. The model is statistically significant and explains up to 92 % of the variance of the production rate measurements.

Estudio del efecto del óxido en el comportamiento en rotura de la vaina de barra combustible

La capa exterior de óxido en la vaina de combustible nuclear es un factor clave en el estudio de su comportamiento en rotura. En esta ponencia se utiliza el ensayo de compresión diametral (RCT) para estudiar el comportamiento en rotura de vainas oxidadas. Para ello se prepararon muestras con una capa exterior de óxido de circonio de 85 µm de espesor y se sometieron a RCT a 20 y 135 ºC. El ensayo de compresión diametral ha demostrado ser muy sensible a la presencia de óxido en el exterior de la vaina para ambas temperaturas

Safety-related issues for high-speed railway bridges

Railway bridges have specific requirements related to safety, which often are critical aspects of design. In this paper the main phenomena are reviewed, namely vertical dynamic effects for impact effect of moving loads and resonance in high-speed, service limit states which affect the safety of running traffic, and lateral dynamic effects.

Concrete Swelling in Two Spanish Dams

Several chemical reactions are able to produce swelling of concrete for decades after its initial curing, a problem that affects a considerable number of concrete dams around the world. Principia has had several contracts to study this problem in recent years, which have required reviewing the state-ofthe-art, adopting appropriate mathematical descriptions, programming them into user routines in Abaqus, determining model parameters on the basis of some parts of the dams’ monitored histories, ensuring reliability using some other parts, and finally predicting the future evolution of the dams and their safety margins. The paper describes some of the above experience, including the programming of sophisticated nonisotropic swelling models, that must be compatible with cracking and other nonlinearities involved in concrete behaviour. The applications concentrate on two specific cases, an arch-gravity dam and a double-curvature arch dam, both with a long history of concrete swelling and which, interestingly, entailed different degrees of success in the modelling efforts.

Effect of Concrete Swelling on the Equilibrium and Displacements of an Arch Dam

The Kariba dam is undergoing concrete expansion as a result of an alkali-aggregate reaction. The model adopted to simulate the process is explained in the paper; it is based on the model first proposed by Ulm et al, as later modified by Saouma and Perotti. It has been implemented in the commercial finite element code Abaqus and applied to solve the benchmark problem. The parameters of the model were calibrated using the data recorded up to 1995. The calibrated model was then used for predicting the evolution of the dam up to the present date. Apart from this prediction the paper offers a number of conclusions, such as the fact that the stress level appears to have a major influence on the expansion process; and it presents some suggestions to improve the formulation of the benchmark, such as providing temperature data and widening the locations and conditions of the data employed in the calibration

Nuevas Investigaciones en la Dinámica de puentes de ferrocarril de alta velocidad

1. Moticacion Nuevos puentes 2. Efectos Dinámicos (¿Puentes Seguros?) 3. Requisitos de Servicio (¿Traco Seguro?) 4. Modelos y Normas (¿Cómo saberlo?) Modelos de Cálculo Normas Técnicas 5. Observaciones finales

Acciones dinámicas debidas al tráfico ferroviario en viaductos de alta velocidad

1. Motivacion 2. Respuesta dinámica y modelos de cálculo Cargas de Tráfico Comprobaciones y modelos 3. Normatica reciente Trenes reales, HSLM y trenes tipo Eurocódigos EN1991-2, EN1990/A1 Interoperabilidad en la Red TransEuropea: ETI-INF Instrucción Española IAPF-2007 y Anejos Naconales 4. Investigación sobre dinámica de estructuras Dinámica transversal de vehículos ferroviarios sobre viaductos 5. Comentarios finales