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Simplified polynomial formulation for the calculation of the Moment-Curvature diagram of RC rectangular sections

Gentile, R; Raffaele, D; Uva, G; (2017) Simplified polynomial formulation for the calculation of the Moment-Curvature diagram of RC rectangular sections. In: Proceedings of the XVII National Conference ANIDIS, 17–21 September 2017. (pp. SG11-19-SG11-26). Green open access

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Abstract

The seismic response of multi-span RC bridges is often based on the response of the piers, provided that deck, bearings and foundations remain elastic. The seismic response of a RC bridge pier is influenced, in general, by different mechanisms (i.e. flexure, shear, lap-splice or buckling of the longitudinal reinforcement bars, second order effects). For mechanisms different from the flexural one, simplified formulations are available in literature. On the other hand, the flexural behaviour of the pier can be characterised by means of equivalent plastic hinge length and Moment-Curvature diagram of the base section, usually carried out with a computer software. In this paper, it is proposed a simplified analytical solution to obtain the Moment-Curvature relationship for rectangular RC sections, in both principal axes. The solution is based on adjusted polynomials, fitted against a database of 800 numerical Moment-Curvature analyses of rectangular RC sections. The proposed polynomials allow to define the cross-section capacity curve through the position of 6 characteristic points and they are based on 4 input parameters: depth-towidth ratio of the cross-section, axial force ratio, longitudinal reinforcement ratio, transversal reinforcement ratio. The solution is tested through the application to a RC rectangular section case study and comparison of the resulting capacity curves to the outcome of refined numerical Moment-Curvature analyses. The results show that the proposed analytical solution is a reliable method to characterise the flexural response of RC rectangular cross-sections.

Type: Proceedings paper
Title: Simplified polynomial formulation for the calculation of the Moment-Curvature diagram of RC rectangular sections
Event: XVII National Conference ANIDIS
Location: Pistoia, Italy
Dates: 17 September 2017 - 21 September 2017
Open access status: An open access version is available from UCL Discovery
Publisher version: http://www.anidis.it/
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: Moment-Curvature; rectangular cross-section; reinforced concrete; RC members optimisation; RC bridge piers; seismic vulnerability;
UCL classification: UCL > Provost and Vice Provost Offices
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.ucl.ac.uk/id/eprint/10068016
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