Geometric Analysis of the Truss above the Nave and Presbytery of the Roman-Catholic Church in Village Bela Dulice

Abstract:

The truss above the nave and presbytery was managed to date to the year 1409d and is one of the few well-preserved medieval structures in this region. This truss has a rafter structure with collar tie and lengthwise binding of the Central frame. At the time of the truss creation the geometry had an important significance, as evidenced by its position in the system of education, since it was a part of seven liberal arts. The part of seven liberal arts was Music and Musica Humana (the theory of proportions) as well, based mainly on Pythagorean theory of proportions. In the Middle Ages geometry substituted complicated static calculations by using the mutual geometric and harmonic spatial connections. The result of our research is the geometric analysis with logical dependencies and a description of a process in the truss design, pointing to evaluative relations came out from especially the Pythagorean Geometry. The typical main roof truss was analyzed and a central longitudinal frame truss as well. Our results point to the use of one of musical ratios: harmonic and irrational proportion. On the basis of the mutual interdependence of the transverse links and central geometrical frame stool we can determine the sequence of key points and reciprocal relationships. Key points create important intersections, which determine the location of the various elements and their mutual carpentry joints. The result is the knowledge of a geometric procedure of a static scheme medieval truss dependent on knowledge of harmonies and ratios.

• Periodical: Advanced Materials Research (Volume 1020)
• Pages: 736-740
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1020.736
• Online since: October 2014
• Authors: Peter Krušinský*, Eva Capková
• Keywords: Geometric Analysis, Gothic Roof Construction, Irrational Proportion, Musical Ratios

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DOI: 10.4028/www.scientific.net/amr.969.199

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