The method of analysis of a reinforced concrete section under bending in the post-yield range

Jacek Korentz


Institute of Structural Engineering; Faculty of Civil and Environmental Engineering; University of Zielona Góra (Poland)
https://orcid.org/0000-0002-1521-8681

Abstract

Predicting the behavior of plastic hinges subjected to large inelastic deformations caused by extreme loads such as earthquakes plays an important role in assessing maximum stable deformation capacities of framed concrete structures. This paper presents an analytical procedure for analysing the behaviour of a reinforced concrete section under bending in the post-yield range. The following stages of section behaviour are defined as the uncracked; first cracked; yielding; cover crushing; cover spalling; buckling of bars; and limit stages. The relationship between the moment and curvature in these stages, including the effects of concrete confinement, the spalling of the concrete cover, and the inelastic buckling of the reinforced bars, are considered. The results obtained from analytical calculations have are compared to the results obtained from a computer analysis. The presented method makes it possible to estimate the ductility of reinforced concrete members with various longitudinal and transverse reinforcement.


Keywords:

RC section, bending, ductility, curvature, post-yield range

Aliawdin P., Kasabutski S., Limit and shakedown analysis of RC rood cross section, Journal of Civil Engineering Management, 2009, Vol.15, No.1, 59-66.
DOI: https://doi.org/10.3846/1392-3730.2009.15.59-66   Google Scholar

CEB Bulletin d’Information No 242, 1988, Ductility of reinforced concrete structures.
  Google Scholar

Darwin D., Nmai Ch.K., Energy dissipation in RC beams under cyclic load, Journal of Structural Engineering, ASCE, 1985, Vol.112, No.8, s.1829-1846.
DOI: https://doi.org/10.1061/(ASCE)0733-9445(1986)112:8(1829)   Google Scholar

Karthik M.M., Mander J.B., Stress-block parameters for unconfined and confined concrete based on a unified stress-strain model, 2011, Journal of Structural Engineering, Vol.137, No5, 270-273.
DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0000294   Google Scholar

Kent D.Ch., Park R., Flexural members with confined concrete, Journal of Structural Division, Proceedings ASCE, Vol.97, No.ST7, 1971, 1969-1990.
DOI: https://doi.org/10.1061/JSDEAG.0002957   Google Scholar

Korentz J., O nowej metodzie modelowania pracy przegubu plastycznego w belkach i słupach żelbetowych, 52 Konferencja Naukowa KILiW PAN i KN PZITB, Gdańsk-Krynica, 2005, t.3 Konstrukcje betonowe, 89-96.
DOI: https://doi.org/10.2166/wst.2005.0682   Google Scholar

Korentz J., Model betonu uzwojonego w elementach mimośrodowo ściskanych i zginanych, Problemy naukowo-badawcze budownictwa, t.6 Badawczo-projektowe zagadnienia w budownictwie, Białystok-Krynica, 2008, 221-228.
  Google Scholar

Korentz J., Model zależności moment-krzywizna dla belek żelbetowych - ocena ciągliwości, 55KN KILiW PAN i KN PZiTB, Problemy naukowo-badawcze budownictwa, Kielce-Krynica, 2009, 231-238.
  Google Scholar

Korentz J., Niesprężyste wyboczenie prętów, model zjawiska, Zeszyty Naukowe Politechniki Rzeszowskiej, Budownictwo i Inżynieria Środowiska, 2012, nr 283, z.59, 101-108.
  Google Scholar

Park R., Priestley M.J.N., Gill D., Ductility of square-confined concrete columns, Journal of the Structural Division, ASCE, 1982, Vol.108, No.ST4, s.929-950.
DOI: https://doi.org/10.1061/JSDEAG.0005933   Google Scholar

PN-EN 1992-1-1:2008, Eurokod 2: Projektowanie konstrukcji z betonu, Cz.1. Reguły ogólne i reguły dla budynków.
  Google Scholar

PN-EN 1998-1:2005 (U) Eurokod 8: Projektowanie konstrukcji poddanych oddziaływaniom sejsmicznym - Część 1: Reguły ogólne, oddziaływania sejsmiczne i reguły dla budynków.
  Google Scholar

Praca zbiorowa, Podstawy projektowania konstrukcji żelbetowych i sprężonych według Eurokodu 2, 2006, Dolnośląskie Wydawnictwo Edukacyjne.
  Google Scholar

XTRACT v3.0.8, Cross-sectional X Structural Analysis of Components, Imbsen Software System, 2007, http://www.imbsen.com
  Google Scholar


Published
2013-03-11

Cited by

Korentz, J. (2013) “The method of analysis of a reinforced concrete section under bending in the post-yield range”, Budownictwo i Architektura, 12(1), pp. 123–130. doi: 10.35784/bud-arch.2182.

Authors

Jacek Korentz 

Institute of Structural Engineering; Faculty of Civil and Environmental Engineering; University of Zielona Góra Poland
https://orcid.org/0000-0002-1521-8681

Statistics

Abstract views: 172
PDF downloads: 111


License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Budownictwo i Architektura supports the open science program. The journal enables Open Access to their publications. Everyone can view, download and forward articles, provided that the terms of the license are respected.

Publishing of articles is possible after submitting a signed statement on the transfer of a license to the Journal.