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New strategies to assess the safety of unreinforced masonry structures using Thrust Network Analysis

Maia Avelino R., Iannuzzo A., Van Mele T. and Block P.
Proceedings of the SAHC Symposium 2020 (postponed to 2021)
Barcelona
2021

This work develops new strategies to robustly apply Thrust Network Analysis (TNA) for the assessment of unreinforced masonry (URM) structures studied within the frame of limit analysis. It formulates and solves a nonlinear optimisation problem on thrust networks considering relevant constraints for the assessment of URM structures. Geometrical and force constraints are include such as the consideration of the structural envelope and bounds on the reaction forces. The objective functions studied correspond to the minimum and maximum horizontal thrusts of the vaults. To evaluate the level of stability of an existing structure, this work develops a methodology to estimate the geometric safety factor (GSF) and the minimum thickness of masonry vaults by solving sequential optimisation problems for increasingly tightened geometrical bounds. This procedure is implemented in the open-source, Python-based tool, named compas_tna and illustrated here on two- and three-dimensional applications that are relevant for the structural analysis of historical constructions.

BibTeX

@inproceedings{MaiaAvelino2021,
    author    = "Maia Avelino, R. and Iannuzzo, A. and Van Mele, T. and Block, P.",
    title     = "New strategies to assess the safety of unreinforced masonry structures using Thrust Network Analysis",
    booktitle = "Proceedings of the SAHC Symposium 2020 (postponed to 2021)",
    year      = "2021",
    editor    = "",
    volume    = "",
    number    = "",
    pages     = "",
    publisher = "",
    address   = "Barcelona",
    month     = "",
    doi       = "",
    note      = "abstract accepted ",
}

Related publications

Iannuzzo A., Dell’Endice A., Maia Avelino R., Kao G., Van Mele T. and Block P.COMPAS Masonry: A computational framework for practical assessment of unreinforced masonry structures,Proceedings of the SAHC Symposium 2020 (postponed to 2021),Barcelona,2021.
Block P. and Lachauer L.Three-dimensional Equilibrium Analysis of Gothic Masonry Vaults,International Journal of Architectural Heritage,8(3): 312--335,2014.
Block P. and Lachauer L.Three-dimensional Funicular Analysis of Masonry Vaults,Mechanics Research Communications,56: 53-60,2014.
Block P.Thrust Network Analysis: Exploring Three-dimensional Equilibrium,Massachusetts Institute of TechnologyCambridge, MA, USA,2009 (May).PhD dissertation.
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