Least-thickness symmetric circular masonry arch of maximum horizontal thrust
| Autor: | Egidio Rizzi, Giuseppe Cocchetti |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Optimization problem
Couplet-Heyman problem 020101 civil engineering Geometry Thrust 02 engineering and technology 0201 civil engineering 0203 mechanical engineering Position (vector) Framing (construction) Settore ICAR/08 - Scienza delle Costruzioni (Symmetric circular) masonry arch Arch (Symmetric circular) masonry arch Couplet-Heyman problem Least thickness Maximum horizontal thrust Widest angular inner-hinge position Closed-form explicit analytical solution Mathematics business.industry Mechanical Engineering Work (physics) Maximum horizontal thrust Masonry Least thickness Widest angular inner-hinge position Closed-form explicit analytical solution 020303 mechanical engineering & transports business Masonry arch |
| Zdroj: | Archive of Applied Mechanics. 91:2617-2639 |
| ISSN: | 1432-0681 0939-1533 |
| DOI: | 10.1007/s00419-021-01909-1 |
| Popis: | This analytical note shall provide a contribution to the understanding of general principles in the Mechanics of (symmetric circular) masonry arches. Within a mainstream of previous research work by the authors (and competent framing in the dedicated literature), devoted to investigate the classical structural optimization problem leading to the least-thickness condition under self-weight (“Couplet-Heyman problem”), and the relevant characteristics of the purely rotational five-hinge collapse mode, new and complementary information is here analytically derived. Peculiar extremal conditions are explicitly inspected, as those leading to the maximum intrinsic non-dimensional horizontal thrust and to the foremost wide angular inner-hinge position from the crown, both occurring for specific instances of over-complete (horseshoe) arches. The whole is obtained, and confronted, for three typical solution cases, i.e., Heyman, “CCR” and Milankovitch instances, all together, by full closed-form explicit representations, and elucidated by relevant illustrations. |
| Databáze: | OpenAIRE |
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