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Resumen El trabajo desarrollado consiste en la formalizacion y comprobacion ante hipotesis de carga de una boveda axilsimetrica no construida. Esta boveda es un proyecto utopico del arquitecto Louis Etienne Boullee, arquitecto frances con un volumen de obra muy significativo de caracter casi "surrealista". La obra de este autor alcanza normalmente unas proporciones titanicas y carentes de ornamento, basando sus formas principalmente en volumenes geometricos sencillos. El proyecto que nos atane sera el cenotafio de Isaac Newton, una gigantesca boveda axil simetrica con un espesor muy reducido en algunos puntos. Con el uso del programa de calculo Maple, un programa de analisis matematico combinado con la tecnologia CAD/CAM basada en los dibujos existentes de este proyecto comprobaremos la estabilidad geometrica y estructural de esta boveda de proporciones titanicas. Con esto mostraremos las posibilidades de aplicacion de los programas de calculo geometrico a los modelos estructurales historicos y teoricos, como una herramienta mucho mas visible y didactica que los calculos numericos al uso. La visualizacion de los esfuerzos que resultan en las diferentes dovelas de la boveda, conjuntamente con la comprension y constatacion del funcionamiento axil simetrico del modelo sera determinante a la hora de comprender el funcionamiento de este sistema estructural y resolvera la duda que nos atane. ?Se podria construir el cenotafio de Newton? ?Es una construccion estable geometrica y materialmente? Abstract The work developed in this paper consists in the formalization and verification of the load hypothesis of a non-constructed axilsymmetric vault. This vault is a utopian project by the architect Louis Etienne Boullee, French architect with a very significant volume of work of "surrealist" character. The works topic of this author usually resembles itself in buildings of titanic proportions and devoid of ornament, that base their forms mainly on simple geometric volumes. The project that concerns us will be the Isaac Newton cenotaph, a giant axial symmetric vault with a very small thickness in some points. With the use of the Maple calculation program, a mathematical analysis program combined with CAD / CAM technology based on the existing drawings of this project, we will check the geometric and structural stability of this vault. With this we will show the possibilities of application of the geometric calculation programs to historical and theoretical structural models, as a much more visible and didactic tool than the usual numerical calculations. The visualization of the efforts that result in the different keystones of the vault, together with the understanding and verification of the axial symmetrical functioning of the model, will be decisive when understanding the functioning of this structural system and will resolve the main doubt that concerns us. Could Newton's cenotaph be built? Is it geometrically and materially speaking a stable construction?

advances in building education

Uso de modelos de cálculo didácticos en la estructura axilsimétrica del cenotafio de Newton = Use of didactic calculation models in the axilsimetric structure of Newton's cenotaph