Modeling of Masonry Vaults as Equivalent Diaphragms

Recent seismic events that occurred in Italy revealed the vulnerability of masonry buildings with vaulted roof with respect to horizontal forces. Assuming that a large part of the architectural heritage is made by vaulted masonry buildings, measures aimed at improving the seismic response of such structures is a strategic objective. In the present work the behavior of masonry vaults is modeled through equivalent plane element (diaphragm), and a modeling procedure is proposed for design. Different types of vaulted structural roofs were studied, considering geometries with simple and double curvature. An extensive parametric analysis was conducted by varying significant structural parameters: vault thickness, in-plane dimensions, constraint conditions and presence or not of side walls. In the proposed model the complex geometry of the vault is replaced by an equivalent plate, with the intent of modeling the entire building as a frame being equivalent to the real structural with respect to the seismic response. The equivalent plate is defined as an element generally orthotropic with the same in-plane dimensions and same thickness of the vault from which it is derived.