Numerical lower bound analysis of plate bending problems containing requirements on shear capacity and shear-bending interaction

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Abstract

The load carrying capacity of reinforced concrete slabs without shear reinforcement under concentrated loads are often limited by the shear capacity. In the last decades, numerical limit analysis have shown to be efficient methods to determine the load carrying capacity of slabs. However, most of the elements have only been used with yield criteria considering the moments. In this paper, an element with linear moment fields and an element with quadratic moment fields for numerical limit analysis of slabs are presented. The elements can handle limitation on both moment and shear forces. The moments are limited by Nielsen conic yield criteria combined with yield criteria for shear forces and moment-shear interaction. The elements are shown to converge from below. The moment, shear and moment-shear yield criteria are shown to work with the elements on benchmark plate examples and for plates with concentrated loads. Furthermore, the effects of limitation on shear forces on the yield mechanism are presented and a clear difference between the yield mechanism for moment and shear failure is shown.
Original languageEnglish
Title of host publicationComputational Modelling of Concrete Structures : Proceedings of the Conference on Computational Modelling of Concrete and Concrete Structures
PublisherTaylor & Francis
Publication date2018
Pages625-632
Chapter75
ISBN (Electronic)9781351726764
Publication statusPublished - 2018
EventEURO-C 2018: Conference on computational modelling of concrete and concrete structures - Bad Hofgastein, Austria
Duration: 26 Feb 20181 Mar 2018

Conference

ConferenceEURO-C 2018
CountryAustria
CityBad Hofgastein
Period26/02/201801/03/2018

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