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Structural and Multidisciplinary Optimization
Published in: Structural and Multidisciplinary Optimization 5/2019

15-06-2019 | Research Paper

Catenary arch of finite thickness as the optimal arch shape

Author: Dimitrije Nikolić

Published in: Structural and Multidisciplinary Optimization | Issue 5/2019

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Abstract

Based on the analogy with the load path of a homogeneous hanging chain, catenary has been for over three centuries considered to be an ideal masonry arch’s shape. In the present research, after the thrust line theory, complete insight into the equilibrium analysis of catenary arch of finite thickness under its own weight is provided. It is concluded that, in accordance with the common criterion—the existence of only normal (axial) forces—the ideality has previously been unjustifiably attached to such an arch, since there are shear forces present as well. However, with respect to so-called Couplet-Heyman’s assumptions (unilateral rigid no-tension material), it is shown that any catenary arch is stable under its own weight.
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Metadata
Title
Catenary arch of finite thickness as the optimal arch shape
Author
Dimitrije Nikolić
Publication date
15-06-2019
Publisher
Springer Berlin Heidelberg
Published in
Structural and Multidisciplinary Optimization / Issue 5/2019
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-019-02304-9

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