A masonry arch is studied by modeling it as a one-dimensional non-linear elastic element. The equilibrium and constitutive equations lead to a free-boundary non-linear differential problem which can be solved with great accuracy by means of an ad hoc iterative procedure. The model allows determining the evolving behavior of the arch subjected to increasing loads up to the collapse load, as well as the displacements and the stresses leading to failure. The method is applied to two arches of a some historical interest, whose shapes and states of repair are quite different: one of the parabolic arches supporting the roof of the parish church in Borgolavezzaro designed by A. Antonelli, and one of the semicircular arches bearing the vault of the collegiate church of Lucignano, a small village in Tuscany, which recently has undergone substantial restoration.
Non-linear analysis and collapse of masonry arches
BARSOTTI, RICCARDO;BENNATI, STEFANO
2002-01-01
Abstract
A masonry arch is studied by modeling it as a one-dimensional non-linear elastic element. The equilibrium and constitutive equations lead to a free-boundary non-linear differential problem which can be solved with great accuracy by means of an ad hoc iterative procedure. The model allows determining the evolving behavior of the arch subjected to increasing loads up to the collapse load, as well as the displacements and the stresses leading to failure. The method is applied to two arches of a some historical interest, whose shapes and states of repair are quite different: one of the parabolic arches supporting the roof of the parish church in Borgolavezzaro designed by A. Antonelli, and one of the semicircular arches bearing the vault of the collegiate church of Lucignano, a small village in Tuscany, which recently has undergone substantial restoration.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
