A method for the structural analysis and design of arched reinforced masonry and/or concrete structures

Extraordinary architectural examples of shell structures have been built using reinforced masonry and concrete. The current sparse use of this construction type can be attributed, among other reasons, to a lack of simple design methods, tools and criteria. Extended Limit Analysis of Reinforced Masonry (ELARM) is a new method for the structural analysis and design of reinforced concrete, reinforced masonry or reinforced composite (masonry and concrete) arched structures. It is implemented computationally to create a flexible design and analysis tool, able to provide immediate graphical and intuitive results. The method is based on limit analysis but takes into account the material’s limited compressive strength and the vault’s cross-sectional bending capacity provided by the reinforcement as an equivalent increase of the thickness. The plastic theorems are then applied considering the new virtual boundaries of the vault’s intrados and extrados. ELARM is validated through the comparison of its predictions with the results of load tests on two full-scale composite barrel vaults. The vaults feature a structural system composed of a two-layered tile vault as an integrated formwork for a reinforced concrete layer. They were tested under vertical loading up to failure. Both the vertical and horizontal displacements of the vaults were monitored during the tests. The characterisation of the materials composing the vaults was also carried out to introduce the measured material properties and strengths in the equilibrium equations for the computation of the new virtual thickness. This paper presents the new structural analysis and design method, its experimental validation and some practical design examples to show the potential of the tool. It offers an intuitive process of design in which shape can be adapted and optimised, also having the material properties and thickness, loads and reinforcement quantity and placement as variable parameters. The presented examples include reinforcement optimisation and form-finding procedures and the analysis of a non-compression-dominated structure.This work was supported by the Swiss National Science Foundation (SNSF) [grant number P2EZP2_181591] and the Institute of Technology in Architecture (ITA) at the Swiss Federal Institute of Technology in Zurich (ETH Zurich). It was also sponsored by the construction company URCOTEX, from which Pep Brazo, Antonio Haro and Albert Martí are especially acknowledged. The construction of the prototypes was carried out together with Jordi Domènech, to whom the authors are very thankful. Experimental support and facilities were kindly offered by the Laboratory for Technological Innovation in Structures and Materials (LITEM) at the Polytechnic University of Catalonia (UPC), from which Lluís Gil, Ernest Bernat, Christian Escrig and Luis Mercedes are especially acknowledged. The presentation of this work at the 12th International Conference on Structural Analysis of Historical Constructions (SAHC 2020) was supported by the area of Architectural Structures within the Department of Architectural Technology at the Universitat Politècnica de Catalunya.Peer ReviewedPostprint (author's final draft