Minimum thickness of elliptical masonry arches

Horizontal reaction components of pointed vaults

“…Their results will be compared below to the outcomes of the present investigations. Alexakis and Makris (2013) analysed the minimum thickness of elliptical arches, with the help of Limit State Analysis. A most important finding was that the minimum thickness depends on the stereotomy.…”

Equilibrium analysis of frictionless triangular arches: Geometrical formulation

“…Hence, the concept of thrust line, being the locus of the application points of the resultant thrust forces at the joints between the voussoirs of the arch, has been introduced, enabling the graphical interpretation of the load path [12,13]. More than a century ago, Milankovitch [14] provided the exact solution for the minimum thickness of the semicircular arch and recently Alexakis and Makris [15] have computed the minimum thickness of elliptical arches. Although triangular arches are the structural precedent of the mentioned ones, their structural behaviour is not sufficiently researched.…”

Beleška O Analizi Ravnoteže Nagnutog Pravog Luka

“…In 1904, on the base of thrust line i.e. limit equilibrium analysis, Milankovitch [5] provided the correct solution, and recently, the same approach was applied to the elliptical [6] and pointed arches [7]. Albeit the geometry of inclined straight arch (or two inclined plate- bandes leaning against each other) is very simple, precise mathematical elaboration of this apparently simple problem is not provided.…”