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L'impiego delle analisi statiche non lineari nelle strutture multipiano non simmetriche in pianta
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Structural analysis of finite element models of masonry balconies and overhangs obtained by B.I.M.
No full textRecent news events are showing a widespread problem involving the structural safety of masonry balconies and overhangs. Not long ago it happened in Campania too: several pieces of balconies or overhangs broke away from the masonry walls and fell to the ground. The degradation phenomena, mostly due to weather, in addition to damage the surface layers of buildings facades, act, in fact, also on the balconies and overhangs structural stability.
The paper focuses on a thorough procedure aimed at evaluating the static and seismic safety of these components, based on structural analyses of refined finite elements models obtained by the building information modelling (B.I.M.) methodology. The analyses are performed creating a highly detailed numerical model: therefore, the structural B.I.M. model becomes the common basis on which to work for developing also, but not only, the structural analysis. This model, in fact, lets to achieve a perfect representation of geometry and structural consistency of each examined element, that is suitable for multiple purposes. As regards the static issues, the performed structural analysis allows to check how the behavior of masonry balconies and overhangs depends on the 3D behaviour and is linked to both the characteristics of the materials and the typology of the connection with the masonry walls
Some remarks about level sets of Cesaro averages of binary digits
Full text linkThe problem of averaging the binary digits of numbers in
is considered. It is well known that Lebesgue a.e. in
the usual Cesaro average is equal to and that the Hausdorff
dimension of the set where the Cesaro average is equal to is given
by an entropy function . We prove that if then the Hausdorff measure of such set is infinite. We moreover explicitly construct an
infinite matrix (in a class of Toeplitz matrices regular
with respect to Cesaro averages) such that the Hausdorff dimension of the
set of the points not having Cesaro average and where the -generalized
average is is still given by
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