Within the framework of limit design applied to masonry structures, this paper aims at analyzing the different behavior of a pavilion dome according to the adopted construction and reinforcement technologies. By using the static theorem applied to the dome discretized in rigid macroblocks of variable shape aligned along parallels and meridians, a mathematical model has been constructed in order to search for the load collapse multiplier, and thus to evaluate the degree of structural safety. Then, the associated failure mechanism is represented at the instant in which the collapse is reached. The program implementing the model is sufficiently versatile and, in addition to the mechanical characteristics, allows to define the intrados profile, the thickness variability, as well as to insert any window opening in the drum, the lantern at the top and the hoops at each level. The results shown here are concerned with some numerical applications carried out on a theoretical dome, as well as with a preliminary analysis of the dome of Santa Maria del Fiore in Florence by Brunelleschi.
Abstract:In this paper, with reference to an analysis of seismic vulnerability on a territorial scale, we propose a new model for determining the damage in terms of a mean damage grade of a probabilistic nature. The theoretical approach is based on a behavioural analogy between a building and a particle in a dielectric, subjected respectively to an earthquake and a sinusoidal electric field: both phenomena are characterised by a critical value, and both phenomena obey the same rule when the relevant parameters are close to the critical value. We develop, in fact, a new expression for the vulnerability curves, simpler with respect to the existing one, and confirmed by data given in literature. This paper contributes to the development of a methodological process for estimating the degree of average damage in order to achieve results that can be used for preventive purposes.
Abstract:In this paper, with reference to an analysis of seismic vulnerability on a territorial scale, we propose a new model for determining the damage in terms of a mean damage grade of a probabilistic nature. The theoretical approach is based on a behavioural analogy between a building and a particle in a dielectric, subjected respectively to an earthquake and a sinusoidal electric field: both phenomena are characterised by a critical value, and both phenomena obey the same rule when the relevant parameters are close to the critical value. We develop, in fact, a new expression for the vulnerability curves, simpler with respect to the existing one, and confirmed by data given in literature. This paper contributes to the development of a methodological process for estimating the degree of average damage in order to achieve results that can be used for preventive purposes.
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