An original revisitation of the thrust line analysis is presented, within a theoretical framework which unifies the classical equilibrium formulations of masonry arches and enlightens the relationships among them. Diverse optimization problems generalizing the classical Heyman-Couplet problem are investigated in this framework. It is proven that a catenary arch with finite thickness subjected to its self-weight admits a shear-free stress state, but not a bending-moment-free stress state. However, the latter can be recovered with a suitable small perturbation of the catenary mid-curve. On considering also horizontal forces proportional to the self-weight, the mid-curve of an arch of minimum weight is obtained, as well as the stereotomy and the thickness distribution of a circular arch of minimum weight. Besides their own merit, these results confirm the present formulation to provide a powerful theoretical setting for the thrust line analysis of masonry arches.

Nodargi, N.a., Bisegna, P. (2020). Thrust line analysis revisited and applied to optimization of masonry arches. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 179, 105690 [10.1016/j.ijmecsci.2020.105690].

Thrust line analysis revisited and applied to optimization of masonry arches

Nodargi N. A.
;
Bisegna P.
2020-01-01

Abstract

An original revisitation of the thrust line analysis is presented, within a theoretical framework which unifies the classical equilibrium formulations of masonry arches and enlightens the relationships among them. Diverse optimization problems generalizing the classical Heyman-Couplet problem are investigated in this framework. It is proven that a catenary arch with finite thickness subjected to its self-weight admits a shear-free stress state, but not a bending-moment-free stress state. However, the latter can be recovered with a suitable small perturbation of the catenary mid-curve. On considering also horizontal forces proportional to the self-weight, the mid-curve of an arch of minimum weight is obtained, as well as the stereotomy and the thickness distribution of a circular arch of minimum weight. Besides their own merit, these results confirm the present formulation to provide a powerful theoretical setting for the thrust line analysis of masonry arches.
2020
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ICAR/08 - SCIENZA DELLE COSTRUZIONI
English
Con Impact Factor ISI
Masonry arch; Limit analysis; Thrust line analysis; Optimal arch; Minimum thickness; Stereotomy
Nodargi, N.a., Bisegna, P. (2020). Thrust line analysis revisited and applied to optimization of masonry arches. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 179, 105690 [10.1016/j.ijmecsci.2020.105690].
Nodargi, Na; Bisegna, P
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/251311
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