The homogenization theory in the analysis of masonry arches

The behavior of masonry arches structures is studied through the homogenizing theory, applying the newest results of symbolic calculation. This procedure, based on the solution suggested in 1982 as an extension of Castigliano’s theorem, takes advantage of considering the stony ashlar and mortar structure as a homogenous, non-tensile resistant body: as a consequence, a different reacting configuration will be needed for each load multiplier. Thus, it is urged to fix a modified structure, able to contain the arch funicular in determining the statically compatible solution to support traditional tensile stress methods. This work ends with an analysis on the behavior f a well-known existing monumental structure, Saint-Martin Bridge upon Lys, already studied in the past, by Franciosi et al. (1982).