La modernidad arquitectónica en México : una mirada a través del arte y los medios impresos

Esta tesis se basa en la hipótesis de que la modernidad arquitectónica en México no es, como se ha pretendido, una historia homogénea, centrada en un puñado de figuras clave, sino una multiplicidad de narrativas complejas en las cuales el arte y los medios impresos juegan un papel esencial. Por tanto, se propone una nueva mirada sobre la arquitectura del siglo XX en México a partir de la relación con la fotografía, el dibujo, las ideas y los medios. La tesis se plantea con el fin de vincular la arquitectura con los movimientos artísticos relevantes, los autores con las publicaciones, las formas con los manifiestos. Asímismo, uno de los principales intereses es explorar los conceptos de modernidad y de identidad, como parte de la construcción misma de la arquitectura de dicha época y del concepto de “lo mexicano”. A pesar del énfasis que se ha dado en la construcción de un canon, muchas veces ligado a la noción de monumentalidad, regionalismo, y mestizaje, este trabajo parte de una mirada puesta no en las formas sino en los procesos. A partir de las conexiones entre distintas capas de información, se buscan nuevas maneras de abordar el proyecto arquitectónico. El crítico de arquitectura brasileño Hugo Segawa ha descrito la investigación sobre la arquitectura latinoamericana como “una tarea más de índole arqueológica que historiográfica”, sin embargo, también ha calificado a México como “el más vigoroso centro de debates teóricos en Latinoamérica a lo largo del siglo XX.” Ese descompas entre la ruina y el vigor, entre la abundancia de producción y la precariedad de su conservación, ha definido no solo el estudio de la arquitectura sino las propias formas de creación. Por tanto, la tesis se plantea como una nueva plataforma desde la cual sea posible reformular la arquitectura, lejos de su condición amnésica, pensada en cambio, como un sistema basado en una misma voluntad por indagar y crear. Se busca, siguiendo al crítico británico Anthony Vidler, “relacionar” la historia con el proyecto. Con el fin de quitarle lo escurridizo a una historia incompleta y sobre todo de poder entender la manera en que las ideas se convierten en forma o en objeto, la tesis se estructura a partir de 22 líneas de tiempo organizadas en tres recorridos que se cruzan: arquitectura; arte y pensamiento. A partir de referencias como el Atlas Mnemosyne de Aby Wargurg o la serie Asterisms del artista Gabriel Orozco, se crean nuevos dispositivos para ver. De tal manera, se desdoblan los distintos temas para trazar relaciones entre la ciudad, los edificios, las utopías, las publicaciones y la publicidad. El trabajo se construye como un nuevo instrumento de exploración articulado por medio de capas, como un mapa genealógico evolutivo. El objetivo es abarcar aquella arquitectura construida no sólo en la ciudad sino también en el papel. Iniciando con el trabajo de la generación que llevó la arquitectura al siglo XX, el estudio se extiende a manera de epílogo hasta la primera década del siglo XXI, reuniendo obras que normalmente se han visto de manera aislada para entenderlas en su contexto más amplio. Como escenario de búsquedas, esta tesis intenta provocar el cruce de significados, creyendo imprescindible una nueva reflexión en torno a la disciplina y a los escenarios en los cuales se inscribe. La arquitectura de México –un país que en el siglo XX pasó de tener 13 millones de habitantes a 100 millonescorresponde esencialmente a una producción anónima, o bien, fabricada a partir de estereotipos. Pero entre la mancha de desarrollo informal y el hito reconocible está un trabajo tan amplio como inexplorado. Por tanto, se ofrece una serie de nuevas constelaciones que comprenden desde la Revolución de 1910 a los Juegos Olímpicos de 1968; del terremoto de la ciudad de México en 1985 a los concursos internacionales de las últimas décadas. This thesis’ hypothesis states that architectural modernity in Mexico is not, as sometimes pretended, a homogeneous history, focused on some key figures, but rather a multiple and complex narrative, in which art and print media have played an essential role. Therefore, it proposes a new perspective on 20th century architecture in Mexico analized through the relationship between architecture and photography, art, theory and media. Its aim is to link architecture and artistic movements, authors and publications, forms and manifestos. What is intended here is to explore the concepts of ‘modernity’ and ‘identity’ as part of the construction of architecture and the concept of ‘Mexicanity’. Despite the emphasis that has been given to the construction of an architectural canon —mostly related to the notions of monumentality, regionalism and mestizaje/métissage— this thesis’ approach is focused mainly in processes and not in forms. Through connections between diverse layers of information, new ways of dealing with the architectural project are explored. Brazilian architecture critic Hugo Segawa has described the research on Latin American architecture as «more a task of archaeology than of historiography». Nonetheless, he has also described Mexico as «the most vigorous center of theoretical debates in Latin America throughout the 20th century». This acute discrepancy between decay and vigor, between abundance of production and precarious state of conservation has determined not only the ways in which architecture is studied and understood but also the process of architectural creation. This work is therefore outlined as a new platform in order to reformulate the discipline as a system based on a common will to research and create, far from the existing amnesiac attitude. Following British critic Anthony Vidler, the interest relies in the attempt to ‘relate’ History to project. In order to reduce the elusiveness of an incomplete history and, specially, to understand how ideas become forms and objects, this thesis is composed of 22 timelines organized in three intersecting itineraries: Architecture, Art and Theory. Drawing inspiration from Aby Warburg’s Atlas Mnemosyne and Gabriel Orozco’s series Asterisms, new exploration devices are created. In such a way, diverse topics unfold to draw connections between built environment, utopian projects, publications, photography and publicity. This work is developed as a new tool for exploration, articulated by layers, like an evolutionary genealogy map. Its objective is to analyze not only the architecture build in cities, but produced on paper. Starting with the work of the generation that led Mexican architecture into the 20th century, this research extends until the first decade of the 21st century (the epilogue), gathering together works which have been usually seen in isolation, and therefore making possible its understanding in a broader context. As a scenario for exploration, this work tries to prompt the crossing of meanings, in the belief that new approaches on the discipline and its context are needed. Architecture in Mexico — a country whose population grew in the 20th century form 13 to 100 million— is related essentially with an anonymous production, or else made from stereotypes. However, between the sprawl of informal urban developments and landmark buildings there is an architectural production as extensive as it is unexamined. This essay introduces a series of new constellations, ranging from the Revolution in 1910 to the Olympic Games in 1968; from the earthquake in Mexico City in 1985 to the international competitions of the last decade. These myriad perspectives present buildings that were never built, forgotten writings, iconic images and unpublished material.

Seismic Risk Scenarios in Puerto Principe (Haiti). A Tool for Reconstruction and Emergency Planning

The 12 January 2010, an earthquake hit the city of Port-au-Prince, capital of Haiti. The earthquake reached a magnitude Mw 7.0 and the epicenter was located near the town of Léogâne, approximately 25 km west of the capital. The earthquake occurred in the boundary region separating the Caribbean plate and the North American plate. This plate boundary is dominated by left-lateral strike slip motion and compression, and accommodates about 20 mm/y slip, with the Caribbean plate moving eastward with respect to the North American plate (DeMets et al., 2000). Initially the location and focal mechanism of the earthquake seemed to involve straightforward accommodation of oblique relative motion between the Caribbean and North American plates along the Enriquillo-Plantain Garden fault system (EPGFZ), however Hayes et al., (2010) combined seismological observations, geologic field data and space geodetic measurements to show that, instead, the rupture process involved slip on multiple faults. Besides, the authors showed that remaining shallow shear strain will be released in future surface-rupturing earthquakes on the EPGFZ. In December 2010, a Spanish cooperation project financed by the Politechnical University of Madrid started with a clear objective: Evaluation of seismic hazard and risk in Haiti and its application to the seismic design, urban planning, emergency and resource management. One of the tasks of the project was devoted to vulnerability assessment of the current building stock and the estimation of seismic risk scenarios. The study was carried out by following the capacity spectrum method as implemented in the software SELENA (Molina et al., 2010). The method requires a detailed classification of the building stock in predominant building typologies (according to the materials in the structure and walls, number of stories and age of construction) and the use of the building (residential, commercial, etc.). Later, the knowledge of the soil characteristics of the city and the simulation of a scenario earthquake will provide the seismic risk scenarios (damaged buildings). The initial results of the study show that one of the highest sources of uncertainties comes from the difficulty of achieving a precise building typologies classification due to the craft construction without any regulations. Also it is observed that although the occurrence of big earthquakes usually helps to decrease the vulnerability of the cities due to the collapse of low quality buildings and the reconstruction of seismically designed buildings, in the case of Port-au-Prince the seismic risk in most of the districts remains high, showing very vulnerable areas. Therefore the local authorities have to drive their efforts towards the quality control of the new buildings, the reinforcement of the existing building stock, the establishment of seismic normatives and the development of emergency planning also through the education of the population.

Mapa preliminar de períodos predominantes del suelo en Puerto Príncipe (Haití) a partir de medidas de ruido ambiental.

The 2010 Haiti earthquake, occurred on January 12th at 16:53:09 local time (21:53:09 UTC) with epicentral distance of 15 km from the capital Port au Prince, MW 7.0 and 13 km hypocenter deep, was the strongest event in the area since happened in 1770. The maximum macroseismic intensity was estimated as X (MMI scale). The aim of this research is to obtain a preliminary zonation of Port-au-Prince in terms of predominant resonance periods of ground. A total of 36 short-period ambient noise records have been carried out on a grid of about 500x500m. H/V spectral ratio method (HVSR) has been applied to determine the predominant period at each point. The lowest values (<0.2s) predominate in the southern part of the city, composed by Miocene conglomerates, while highest values (> 0.45s) correspond to the center and western parts, composed of Pleistocene-Holocene alluvial deposits and anthropogenic land reclaimed from the sea. We have determined the ground VS30 structure inside National Palace garden, using simultaneous ambient noise measurements. An array made up of 6 sensors were used, with 5 of them uniformly distributed along a circumference and a sixth one placed in its centre. The records were analyzed by using the spatial autocorrelation method (SPAC). The VS 30 value obtained was 331m/sec, in good agreement with the average values obtained for this area by other authors, using prospecting techniques.

Simplified Procedure for the Nonlinear Seismic Analysis of Bridges

The severe accidents suffered by bridges during recent earthquake show that more careful analysis are needed to guarantee their behaviour. In particular simplified non-linear analysis could be useful to bridge the gap between theoretical research and practical applications. This paper presents one of those simplified methods that can be applied for first designs or to retrofitting of groups of bridges.

Simulación de registros sísmicos a partir de espectros de diseño

La simulación de registros sísmicos, compatibles con espectros medios de diseño, se ha convertido en una necesidad en los últimos años, debido principalmente a su exigencia en la norma de regulación del cálculo de centrales nucleares. En este trabajo se presentan distintas posibilidades de realización de esta simulación, así como una comparación entre ellas, apareciendo como una alternativa efectiva a los métodos clásicos la utilización del contenido de fase de los seismos reales. Mediante ello se establece un procedimiento que elimina la arbitrariedad que supone el uso de una función envolvente para definir la característica no estacionaria del registro. Los distintos métodos son descritos detalladamente, así como la influencia de los diferentes parámetros que intervienen en cada uno de ellos. Por último se presentan algunos ejemplos numéricos = The simulation of spectrum-compatible earthquake time histories, has been a need since the beginning of the development of earthquake engineering for complicated structures. More than the safety of the main structure, the analysis of the equipment (piping, rackes, etc.) can be assesed only on the basis of time-histories of the floor in which they are contained. This paper presents several alternatives to the generation of sinthetic time histories and the use of the distribution of the differences among the phase-angles is demonstrated to be a useful tool to simulate the nonstationarity of the process. Thorugh the paper an extensive use is made of the F.F.T. algorithm.

Estudio probabilista del daño por choque según la metodología PEER. Aplicación a un paso superior sísmicamente aislado

En países de sismicidad moderada es habitual el uso de puentes cuyo tablero está unido mediante apoyos elastoméricos y/o deslizantes, tanto a las pilas como a los estribos. La principal vulnerabilidad sísmica de estos puentes está asociada a los choques. Dicha vulnerabilidad puede valorarse estimando la probabilidad de que se produzca un determinado daño en un periodo de tiempo. En este artículo se plantean las líneas actuales para estudiar este problema, y se aplican al estudio de la vulnerabilidad de un paso superior situado en la provincia de Granada, que puede considerarse como sísmicamente aislado. El marco del estudio es la metodología del Pacific Earthquake Engineering Research Center, cuya aplicación se ha adaptado al caso estudiado. En el artículo se describen cada una de las etapas de que consta, aunque se presta especial atención a la identificación y caracterización de los daños susceptibles de producirse. El modelo de la estructura, que debe permitir una adecuada caracterización de los choques, también será presentado en detalle. Dado que el puente es representativo de una gran cantidad de estructuras del inventario construido en España, los resultados son doblemente importantes. Por una parte, sirven de guía para la aplicación de esta metodología a estructuras similares. Y por otra, proporcionan valores de probabilidades que pueden servir de referencia.

Elastodynamics

In this chapter some applications of boundary element techniques to dynamic problems are presented. First, the basic theory is briefly reviewed in order to provide the necessary background to interpret the numerical results (for a fuller account of elastodynamic theory we recommend a study of the specialized literature). The second part of the chapter is devoted to the numerical implementation of the BEM. The presentation is based on the steady-state solution because this is the area in which most experience exists. This is by no means a limitation of the BEM method, and the use of integral transformations to obtain transient solutions is a well established procedure. Finally, in the third part three examples are presented. The first example is the steady-state solution of a plate under cyclic forces with and without a crack. The second example relies on the determination of soil compliances necessary to study soil-structure interaction and the third example treats the problem of the influence of different incidence angles of incoming waves in foundations. The last two examples are relevant to earthquake engineering problems for which the BEM is very well suited.

Seismic performance case study of bridge pile cap foundation

The purpose of this report is to build a model that represents, as best as possible, the seismic behavior of a pile cap bridge foundation by a nonlinear static (analysis) procedure. It will consist of a reproduction of a specimen already built in the laboratory. This model will carry out a pseudo static lateral and horizontal pushover test that will be applied onto the pile cap until the failure of the structure, the formation of a plastic hinge in the piles due to the horizontal deformation, occurs. The pushover test consists of increasing the horizontal load over the pile cap until the horizontal displacement wanted at the height of the pile cap is reached. The output of this model will be a Skeleton curve that will plot the lateral load (kN) over the displacement (m), so that the maximum movement the pile cap foundation can reach before its failure can be calculated. This failure will be achieved when the load at that specific shift is equal to 85% of the maximum. The pile cap foundation finite element model was based on pile cap built for a laboratory experiment already carried out by the Master student Deming Zhang at Tongji University. Two different pile caps were tested with a difference in height above the ground level. While one has 0:3m, the other rises 0:8m above the ground level. The computer model was calibrated using the experimental results. The pile cap foundation will be programmed in a finite element environment called OpenSees (Open System for Earthquake Engineering Simulation [28]). This environment is a free software developed by Berkeley University specialized, as it name says, in the study of earthquakes and its effects on structures. This specialization is the main reason why it is being used for building this model as it makes it possible to build any finite element model, and perform several analysis in order to get the results wanted. The development of OpenSees is sponsored by the Pacific Earthquake Engineering Research Center through the National Science Foundation engineering and education centers program. OpenSees uses Tcl language to program it, which is a language similar to C++.

Computational model for local damage assesment of structures

In the last years many studies have been developed to analyze the seismic behavior throug the damage concept. In fact, the evaluation of the structural damage is important in order to quantify the safety of new and existing structures and, also, to establish a framework for seismic retrofitting decision making of structures. Most proposed models are based on a post-earthquake evaluation in such a way they uncouple the computation of the structural response from that of damage. However, there are other models which include explicity the existing coupling between the degradation and the structural mechanical beaviour. Those models are closer to the physical reality and its formulation is based on the principles of Continuum Damage Mechanics. In the present work, a coupled model is formulated using a simplified application of the Continuum Damage Mechanics to the analysis of frames and allows its representation in standard finite element programs. This work is part of the activities developed by the Structural Mechanics Department (UPM) within ICONS (European Research Project on Innovative Seismic Design Concepts for New and Existing Structures).

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.

Design energy input spectra for high seismicity regions based on Turkish registers

This work proposes design energy spectra in terms of an equivalent velocity, intended for regions with design peak acceleration 0.3 g or higher. These spectra were derived through linear and nonlinear dynamic analyses on a number of selected Turkish strong ground motion records. In the long and mid period ranges the analyses are linear, given the relative insensitivity of the spectra to structural parameters other than the fundamental period; conversely, in the short period range, the spectra are more sensitive to the structural parameters and, hence, nonlinear analyses are required. The selected records are classified in eight groups with respect to soil type (stiff or soft soil), the severity of the earthquake in terms of surface magnitude Ms(Ms≤ 5.5 and Ms> 5.5) and the relevance of the near-source effects (impulsive or vibratory). For each of these groups, median and characteristic spectra are proposed; such levels would respectively correspond to 50 and 95 % percentiles. These spectra have an initial linear growing branch in the short period range, a horizontal branch in the mid period range and a descending branch in the long period range. Empirical criteria for estimating the hysteretic energy from the input energy are suggested. The proposed design spectra are compared with those obtained from other studies.

Development and implementation of a virtual laboratory for training process improvement in the mechanics of continuous media

The project arises from the need to develop improved teaching methodologies in field of the mechanics of continuous media. The objective is to offer the student a learning process to acquire the necessary theoretical knowledge, cognitive skills and the responsibility and autonomy to professional development in this area. Traditionally the teaching of the concepts of these subjects was performed through lectures and laboratory practice. During these lessons the students attitude was usually passive, and therefore their effectiveness was poor. The proposed methodology has already been successfully employed in universities like University Bochum, Germany, University the South Australia and aims to improve the effectiveness of knowledge acquisition through use by the student of a virtual laboratory. This laboratory allows to adapt the curricula and learning techniques to the European Higher Education and improve current learning processes in the University School of Public Works Engineers -EUITOP- of the Technical University of Madrid -UPM-, due there are not laboratories in this specialization. The virtual space is created using a software platform built on OpenSim, manages 3D virtual worlds, and, language LSL -Linden Scripting Language-, which imprints specific powers to objects. The student or user can access this virtual world through their avatar -your character in the virtual world- and can perform practices within the space created for the purpose, at any time, just with computer with internet access and viewfinder. The virtual laboratory has three partitions. The virtual meeting rooms, where the avatar can interact with peers, solve problems and exchange existing documentation in the virtual library. The interactive game room, where the avatar is has to resolve a number of issues in time. And the video room where students can watch instructional videos and receive group lessons. Each audiovisual interactive element is accompanied by explanations framing it within the area of knowledge and enables students to begin to acquire a vocabulary and practice of the profession for which they are being formed. Plane elasticity concepts are introduced from the tension and compression testing of test pieces of steel and concrete. The behavior of reticulated and articulated structures is reinforced by some interactive games and concepts of tension, compression, local and global buckling will by tests to break articulated structures. Pure bending concepts, simple and composite torsion will be studied by observing a flexible specimen. Earthquake resistant design of buildings will be checked by a laboratory test video.

Evaluación de la vulnerabilidad sísmica urbana basada en tipologías constructivas y disposición urbana de la edificación. Aplicación en la ciudad de Lorca, región de Murcia

Actualmente, diversos terremotos han puesto de manifiesto la importancia de planificar las ciudades y la gran influencia que tiene el comportamiento de los edificios como consecuencia de los resultados de pérdidas humanas y económicas. Ante la imposibilidad de evitar la ocurrencia de terremotos y de predecirlos con un margen pequeño de tiempo para tomar acciones a corto plazo, la reducción de la vulnerabilidad de los elementos expuestos es la medida más eficaz para prevenir los daños y para evitar el desastre. Existen varios estudios anteriores de Norman B. Green (1980), Teresa Guevara López (2009 y 2012) que recogen criterios ya generalizados dentro de la bibliografía sísmica y algunos aspectos procedentes de norma sísmicas precursoras en este campo (por ejemplo, las peruanas) para establecer inicialmente unos principios urbanístico-sísmicos. Además, varios proyectos relacionados con el riesgo sísmico, RisK-Ue (2003), SERAMAR (Lars Abrahamczyk et al., 2013) han desarrollado metodologías que clasifican la vulnerabilidad de los edificios teniendo en cuenta modificadores por comportamientos y configuraciones irregulares sísmicamente. El presente trabajo desarrolla una metodología empírica para identificar y caracterizar los parámetros urbanísticos que determinan una respuesta sísmica irregular de las edificaciones, graduar su relación con el daño tras un terremoto y poder así disminuir la vulnerabilidad sísmica de las ciudades. La metodología desarrollada en esta tesis doctoral se aplica en la ciudad de Lorca, Región de Murcia. Se realiza un trabajo de campo donde se clasifican los edificios según su tipología estructural y sus parámetros urbanísticos. A través de un estudio estadístico se analiza la correlación con el daño de las edificaciones tras el terremoto del 11 de mayo de 2011. Previamente se ha hecho una clasificación de los edificios según la clase de suelo en la que se encuentran según el Eurocódigo8 (Navarro et al, 2012). Por último, se aplica la metodología para obtener una estimación de la habitabilidad de los edificios en Lorca post sismo. Para esta clasificación se ha adoptado el criterio recogido en diversas recomendaciones internacionales, la mayoría de las cuales se basan en la documentación generada por el ATC- Applied Technology Council, distinguiendo entre edificios habitables (no daño-daño no estructural) y edificios no habitables (daño estructural). ABSTRACT Currently, various earthquakes have made clear first, the importance of city planning and secondly, the great influence that has the behaviour of buildings as a consequence of the results of human and economic losses. Faced with the impossibility of avoiding the occurrence of earthquakes and predicting its with a small margin of time to take action in the short term, the reduction of the vulnerability of exposed elements is the most effective measure to prevent damage and to prevent the disaster. There are several previous studies, Norman B. Green (1980), Teresa Guevara López (2009-2012) collecting criteria already widespread within the seismic bibliography and we can find some aspects from standard seismic precursor in this field (for example, the Peruvian) to initially establish urban - seismic principles. In addition, several projects related to seismic risk, RisK-EU (2003), SERAMAR (Lars Abrahamczyk et al., 2013) have developed methodologies that classify the vulnerability of buildings taking into account modifiers for behaviours and irregular configurations in seismical terms. This paper develops an empirical methodology to identify and characterize the irregular urban parameters seismically, graduate its relationship with the building damages after an earthquake and thus reduce the seismic vulnerability of cities. The methodology developed in this thesis applies in the city of Lorca, Region of Murcia. Fieldwork where buildings are classified according to their structural type and its urban performance parameters. Through a statistical study the correlation with damage of buildings is analyzed after the earthquake of May 11, 2011. Previously a classification of the buildings has been made according to the kind of soil according to the Eurocodigo 8 (Navarro et al, 2012). Finally, you get an estimate of the building habitability in Lorca. As a result, this classification adopted the criterion contained in various international recommendations, most of which are based on the documentation published by the ATC - Applied Technology Council, habitable buildings (not damage -damage non-structural) and non habitable buildings (structural damage).

Seismic soil-interaction on earth retaining structures. Performance-based seismic design of a Retaining Wall

The design of containment walls suffering seismic loads traditionally has been realized with methods based on pseudoanalitic procedures such as Mononobe- Okabe's method, which it has led in certain occasions to insecure designs, that they have produced the ruin of many containment walls suffering the action of an earthquake. A method is proposed in this papers for the design of containment walls in different soils, suffering to the action of an earthquake, based on the Performance-Based Seismic Design.

Performance-based seismic design of a retaining wall

The design of containment walls suffering seismic loads traditionally has been realized with methods based on pseudoanalitic procedures such as Mononobe-Okabe's method, which it has led in certain occasions to insecure designs, that they have produced the ruin of many containment walls suffering the action of an earthquake. The recommendations gathered in Mononobe-Okabe's theory have been included in numerous Codes of Seismic Design. It is clear that a revision of these recommendations must be done. At present there is taking place an important review of the design methods of anti-seismic structures such as containment walls placed in an area of numerous earthquakes, by means of the introduction at the beginning of the decade of 1990 the Displacement Response Spectrum (DRS) and the Capacity Demand Diagram (CDD) that suppose an important change in the way of presenting the Elastic Response Spectrum (ERS). On the other hand in case of action of an earthquake, the dynamic characteristics of a soil have been referred traditionally to the speed of the shear waves that can be generated in a site, together with the characteristics of plasticity and damping of the soil. The Principle of the energy conservation explains why a shear upward propagating seismic wave can be amplified when travelling from a medium with high shear wave velocity (rock) to other medium with lower velocity (soil deposit), as it happened in the earthquake of Mexico of 1985. This amplification is a function of the speed gradient or of the contrast of impedances in the border of both types of mediums. A method is proposed in this paper for the design of containment walls in different soils, suffering to the action of an earthquake, based on the Performance-Based Seismic Design.