Brunelleschi’s Dome: A New Estimate of the Thrust and Stresses in the Underlying Piers

The paper deals with the insurgence of the thrust, together with its valuation, in masonry domes, giving special attention to the Brunelleschi’s Dome in Florence. After a recalling of the kinematical approach in the context of the Heyman masonry model, the thrust of Brunelleschi’s Dome is estimated...

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Main Author: Mario Como
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/9/4268
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author Mario Como
author_facet Mario Como
author_sort Mario Como
collection DOAJ
description The paper deals with the insurgence of the thrust, together with its valuation, in masonry domes, giving special attention to the Brunelleschi’s Dome in Florence. After a recalling of the kinematical approach in the context of the Heyman masonry model, the thrust of Brunelleschi’s Dome is estimated as the maximum of the set of all the kinematical ones. Comparisons are made with other valuations made by the usual, but less accurate, statical approach. The knowledge of the thrust allows an evaluation of the stresses acting in the supporting piers: their base sections are all compressed, with level stresses sufficiently low. This result shows the extraordinary conception of Filippo Brunelleschi’s Dome and the favorable design of the pillar sections and of the drum positioning, due, perhaps, to Arnolfo di Cambio or to the succeeding Masters.
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spelling doaj.art-9df64ee7494043bb9f65b9a2d1474bb72023-11-21T18:48:58ZengMDPI AGApplied Sciences2076-34172021-05-01119426810.3390/app11094268Brunelleschi’s Dome: A New Estimate of the Thrust and Stresses in the Underlying PiersMario Como0Department of Civil Engineering and Computer Science, University of Rome “Tor Vergata”, 00133 Rome, ItalyThe paper deals with the insurgence of the thrust, together with its valuation, in masonry domes, giving special attention to the Brunelleschi’s Dome in Florence. After a recalling of the kinematical approach in the context of the Heyman masonry model, the thrust of Brunelleschi’s Dome is estimated as the maximum of the set of all the kinematical ones. Comparisons are made with other valuations made by the usual, but less accurate, statical approach. The knowledge of the thrust allows an evaluation of the stresses acting in the supporting piers: their base sections are all compressed, with level stresses sufficiently low. This result shows the extraordinary conception of Filippo Brunelleschi’s Dome and the favorable design of the pillar sections and of the drum positioning, due, perhaps, to Arnolfo di Cambio or to the succeeding Masters.https://www.mdpi.com/2076-3417/11/9/4268domesmasonryno tension materialBrunelleschi’s Domeminimum thrustkinematical approach
spellingShingle Mario Como
Brunelleschi’s Dome: A New Estimate of the Thrust and Stresses in the Underlying Piers
Applied Sciences
domes
masonry
no tension material
Brunelleschi’s Dome
minimum thrust
kinematical approach
title Brunelleschi’s Dome: A New Estimate of the Thrust and Stresses in the Underlying Piers
title_full Brunelleschi’s Dome: A New Estimate of the Thrust and Stresses in the Underlying Piers
title_fullStr Brunelleschi’s Dome: A New Estimate of the Thrust and Stresses in the Underlying Piers
title_full_unstemmed Brunelleschi’s Dome: A New Estimate of the Thrust and Stresses in the Underlying Piers
title_short Brunelleschi’s Dome: A New Estimate of the Thrust and Stresses in the Underlying Piers
title_sort brunelleschi s dome a new estimate of the thrust and stresses in the underlying piers
topic domes
masonry
no tension material
Brunelleschi’s Dome
minimum thrust
kinematical approach
url https://www.mdpi.com/2076-3417/11/9/4268
work_keys_str_mv AT mariocomo brunelleschisdomeanewestimateofthethrustandstressesintheunderlyingpiers