In this second part of the paper we use the results obtained in the first part in order to build the solution to two statically indeterminate cases of a depressed masonry arch. As in the first part, the arch is modeled as a one-dimensional curved nonlinear elastic beam made of a material that is by hypothesis incapable of withstanding significant tensile stresses. We find the explicit expressions for the displacements and rotations of the cross-sections of the arch subject to a uniformly distributed load. Such explicit analyt- ical expressions may constitute an effective bench- mark for validating numerical solution methods. The evolution of the solution with increasing load is described thoroughly, and an extension of the pro- posed method to general constraint conditions illus- trated. Finally, some considerations are advanced regarding the mechanical behavior of depressed masonry arches near collapse.

Explicit solutions for depressed masonry arches loaded until collapse—Part II: a solution method for statically indeterminate systems

AITA, DANILA;BARSOTTI, RICCARDO;BENNATI, STEFANO
2017-01-01

Abstract

In this second part of the paper we use the results obtained in the first part in order to build the solution to two statically indeterminate cases of a depressed masonry arch. As in the first part, the arch is modeled as a one-dimensional curved nonlinear elastic beam made of a material that is by hypothesis incapable of withstanding significant tensile stresses. We find the explicit expressions for the displacements and rotations of the cross-sections of the arch subject to a uniformly distributed load. Such explicit analyt- ical expressions may constitute an effective bench- mark for validating numerical solution methods. The evolution of the solution with increasing load is described thoroughly, and an extension of the pro- posed method to general constraint conditions illus- trated. Finally, some considerations are advanced regarding the mechanical behavior of depressed masonry arches near collapse.
2017
Aita, Danila; Barsotti, Riccardo; Bennati, Stefano
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/804927
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