The calculation of the structure of the house was carried out by the engineer Carlos Treglia, based on the Castigliano Theorems and the Menabrea-Castigliano Principle for the analysis of the arch, and on the Fixed Point Method for the analysis of the slabs and beams. The main reference cited by the author in his Calculation Memoir is the manual by R. Salinger: "Hormigón Armado" (Ed. Labor, 1944, p. 597). All calculations were developed by hand. 

This can also be expressed graphically by means of the funicular polygon of the point loads due to the weight of the superstructure as well as those due to the self-weight of the 22 cm thick concrete arch. On the basis of this funicular polygon, the thrust line has been drawn, taking into account the width of the arch of one metre.

The hypothesis considered for the analysis of the structure, as expressed in the report and plans, was carried out with a flat and individual representation of each of the structural elements: arch, piers, partitions, main slab (tray), pillars and top slab (cover),
partitions, main slab (tray), columns and top slab (lid). Their actions, reactions, internal forces and connection elements were dimensioned with this hypothesis, which was absolutely usual and correct for the time.
This differs somewhat with the permanent opinions of its creator, when he commented: "the way in which this house achieves the free floor is different from the way Le Corbusier intended. It is totally different and seems to me more advanced, because it is through a three-dimensional structure".