A macro-element for the nonlinear analysis of deep beams based on a three-parameter kinematic model

Jian Liu, Boyan Mihaylov

Research output: Chapter in Book or Report/Conference proceedingConference Proceedingpeer-review

Abstract

This paper presents a computationally-effective macro element for predicting the complete shear response of RC deep beams. The element stems from a three-parameter kinematic theory (3PKT) for the shear strength and deformation capacity of deep beams under double curvature. The macro element consists of two rotational springs and one transverse spring to simulate the nonlinear flexural and shear behaviour of deep shear spans. The element is applied to two deep beams tested to shear failure under three-point bending. The results are used to study the effect of unsymmetrical shear failures on the pre- and post-peak behaviour of nominally symmetrical members. It is found that the post-peak response is sensitive to the unloading path of the shear resisting mechanisms as well as to the global roughness of the critical diagonal cracks. Based on these analyses, modifications to the constitutive relationships of the shear mechanisms are proposed, and the macro element is applied to a continuous deep beam. It is shown that the model adequately captures the complete behaviour of the beam, including the redistribution of forces following the shear failure in the critical shear span.

Original languageEnglish
Title of host publicationFib Symposium 2016
Subtitle of host publicationPerformance-Based Approaches for Concrete Structures, Proceedings
EditorsHans Beushausen
Publisherfib. The International Federation for Structural Concrete
Pages1-11
Number of pages11
ISBN (Print)9782883941229
Publication statusPublished - 2016
Externally publishedYes
EventInternational fib Symposium on Performance-Based Approaches for Concrete Structures, 2016 - Cape Town, South Africa
Duration: 21 Nov 201623 Nov 2016

Publication series

Namefib Symposium
ISSN (Print)2617-4820

Conference

ConferenceInternational fib Symposium on Performance-Based Approaches for Concrete Structures, 2016
Country/TerritorySouth Africa
CityCape Town
Period21/11/1623/11/16

Keywords

  • Aggregate interlock
  • Deep beams
  • Macro element
  • Shear behaviour
  • Unloading path

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