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A simple method for N-M interaction diagrams of circular reinforced concrete cross sections

Di Laora, R; Galasso, C; Mylonakis, G; Cosenza, E; (2020) A simple method for N-M interaction diagrams of circular reinforced concrete cross sections. Structural Concrete , 21 (1) pp. 48-55. 10.1002/suco.201900139. Green open access

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Abstract

A novel analytical method is derived for the ultimate capacity interaction diagram (i.e., axial compression, N - bending moment resistance, M) of reinforced concrete (RC) columns with circular cross section. To this aim, the longitudinal rebar arrangement is replaced with a thin steel ring equivalent to the total steel area; moreover, according to modern design approaches, simplified stress–strain relationships for concrete and reinforcing steel are used. Illustrative applications demonstrate that the ultimate capacity computed by the proposed analytical approach agrees well with the results obtained by rigorous methods based on consolidated numerical algorithms. The new solution allows for a rapid, accurate assessment of circular cross section capacity by means of hand calculations; this is especially useful at the conceptual design stage of various structural and geotechnical systems. The method can be easily extended to more general configurations, such as multiple steel rings and composite concrete-steel sections.

Type: Article
Title: A simple method for N-M interaction diagrams of circular reinforced concrete cross sections
Open access status: An open access version is available from UCL Discovery
DOI: 10.1002/suco.201900139
Publisher version: https://doi.org/10.1002/suco.201900139
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: analytical solution, circular cross section, interaction diagram, reinforced concrete, simplified formulation
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Civil, Environ and Geomatic Eng
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10082982
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