Abstract
The application of large loads on poor soils requires designs that optimize the transmission of a point load to a surface and distribute it uniformly throughout the structure. In this paper, this optimal transmission is achieved by using two fractals: a Sierpinski triangle that reproduces the mechanical structure and the Takagi function that determines the vertical deformation of its supports. This result is obtained by applying the Principle of Virtual Work to a finite approximation of the Sierpinski triangle and its supports and the subsequent infinite extension. The extension by continuity ensures that the load is uniform on the entire base and not only on the discrete supports.
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