ABSTRACT

This paper deals with the architectonic, constructive, and geometrical characterization of Yucatan stone masonry churches in Mexico. The work aims at finding statistical correlations between geometric parameters that characterise the main cross section of the churches. For this, a detailed historical and architectonic review was performed and a description of the structural elements and connections among them were provided combining existing data and visual survey of churches under ruins. In addition, a database of 44 Yucatan churches was built with the geometric features of the cross section and linear correlations were studied between the geometric parameters. Additional churches from different regions of Mexico were also considered for a systematic comparison. Besides, simple geometric relations between geometric key parameters as a function of the span of the churches with semi-circular canon vaults were derived and further compared with empirical relations provided in historical treatises from the 16^th to 18^th centuries was carried. Based on the results obtained, it was seen that the key geometric parameters defining the thickness of canon vaults and thickness and height of the stone masonry walls are reasonably close to some proposals provided in historical treatises.

摘要

本文涉及墨西哥尤卡坦石砌教堂的建筑、构造和几何特征。这项工作旨在寻找表征教堂主要横截面的几何参数之间的统计相关性。为此，进行了详细的历史和建筑回顾，并结合现有数据和对废墟下教堂的视觉调查，提供了对结构元素和它们之间的联系的描述。此外，利用横截面的几何特征建立了一个包含 44 座尤卡坦教堂的数据库，并研究了几何参数之间的线性相关性。还考虑了来自墨西哥不同地区的其他教堂进行系统比较。除了，^th到 18^世纪进行了。根据获得的结果，可以看出，定义经典拱顶厚度以及石砌墙的厚度和高度的关键几何参数与历史论文中提供的一些建议相当接近。