The collapse of some monumental buildings, which have occurred during the last fifteen years, indicate that not only towers, but also particularly slender or heavily loaded elements like columns, pillars, etc., turn out to be greatly influenced by creep deformations, due to their geometry and to the heavy persistent compressive stress which are subjected to. Moreover, the stress distribution within the load-bearing area of these structural elements and buildings is generally non-uniform, due to their non-homogeneous cross section, often made by multiple leaf masonry. A combination of these factors, together with the fatigue effect due to cyclic actions induced by temperature variation, wind and earthquakes action, can well be responsible of...