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On the definition of the line of thrust
Published in Koen Van Balen, Els Verstrynge, Structural Analysis of Historical Constructions: Anamnesis, Diagnosis, Therapy, Controls, 2016
The motivation of our work was twofold: a formal definition of the line of thrust helped us in generalizing the problem of the relation between stereotomy and minimum thickness. Stereotomy refers to the arrangement of stones or bricks in a masonry construction. In the present paper we extend the meaning of stereotomy, following the terminology of the literature, to a more general geometrical rule: stereotomy describes the cut-angle of the cross sections. The unique solutions present in the literature for certain stereotomy-cases (with differing results) inspired us to reformulate the question: is there any limit to the minimum thickness within the domain of the minimum thickness analysis with respect to homogenous material? Was the value given by Heyman for a semicircular arch of constant thickness really wrong (as suggested first by Ochsendorf (Ochsendorf 2002)) or could it be proven right supposing his problem poorly defined? Can a suitable stereotomy be generated to any given t/R ratio? Is there an ideal stereotomy that would result in the thinnest possible arch? On the other hand, our definition and its application help to highlight the discrepancies between the true characteristics of the line of thrust and the general assumptions of engineers and scholars. Due to Hooke's
Shapes Carving Shapes
Published in Joseph Choma, Études for Architects, 2018
Stereotomy, or the art of precisely cutting stone with descriptive geometry, uses a similar technique. From stone masonry to vaults, to digital fabrication practices, Boolean operations have been used to carve modules which, after being carved, seamlessly pack together when aggregated.
Effect of stereotomy on the lower bound value of minimum thickness of semi-circular masonry arches
Published in International Journal of Architectural Heritage, 2018
Orsolya Gáspár, András A. Sipos, István Sajtos
Stereotomy generally refers to the brick or stone laying pattern of masonry structures. Considering an arch made of stones, the term stereotomy is analogous of a specific stone cutting pattern that defines the shape of the voussoirs. In the case of homogeneous materials (e.g., /unreinforced/ concrete), the (assumed) direction of the cracks defines the stereotomy. Stereotomy throughout this article is treated as a continuous function that assigns the direction of the sections to the points of the reference line of the arch.