Algorithm for Non-proportional Loading in Sequentially Linear Analysis

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Abstract

Sequentially linear analysis (SLA) is an alternative to the Newton-Raphson method for analyzing the nonlinear behavior of reinforced concrete and masonry structures. In this paper SLA is extended to load cases that are applied one after the other, for example first dead load and then wind load. It is shown that every nonlinear analysis step can be made in just two linear elastic analysis steps. The proposed algorithm is extremely robust, which is demonstrated in a prestressed concrete beam analysis. A comparison is made between results of SLA and Newton-Raphson with arch length control.
Original languageEnglish
Title of host publication9th International Conference on Fracture Mechanics of Concrete and Concrete Structures
Subtitle of host publicationBerkeley, California USA
EditorsV. Saouma, J. Bolander, E. Landis
Number of pages10
DOIs
Publication statusPublished - 2016
Event9th International Conference on Fracture Mechanics of Concrete and Concrete Structures - University of California, Berkeley, United States
Duration: 22 May 201625 May 2016
Conference number: 9
http://framcos.org/FraMCoS-9.php#gsc.tab=0

Conference

Conference9th International Conference on Fracture Mechanics of Concrete and Concrete Structures
Abbreviated titleFraMCoS-9
CountryUnited States
CityBerkeley
Period22/05/1625/05/16
Internet address

Keywords

  • Concrete
  • sequentially linear analysis
  • static non-proportional loading
  • prestress

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