Treatment of Non-Uniform Loads in Automated Yield-Line Analysis

The relationship between limit analysis and yield-line analysis is investigated. Attention is restricted to simply supported, isotropic slabs subjected to single-point loadings. It is found that conventional yield-line analyses quite often give substantial overestimates of the carrying capacity. A general method is formulated for finding the yield-point load, and various examples are considered.

Download Full-text

Automated yield-line analysis of beam-slab systems

STRUCTURAL ENGINEERING AND MECHANICS ◽

10.12989/sem.1995.3.6.529 ◽

1995 ◽

Vol 3 (6) ◽

pp. 529-539

Author(s):

David Johnson

Keyword(s):

Yield Line ◽

Line Analysis

Download Full-text

Plastic Yield-Line Analysis of Torsion-Free Two-Way and Flat Slabs

Australian Journal of Structural Engineering ◽

10.1080/13287982.2009.11465028 ◽

2009 ◽

Vol 10 (1) ◽

pp. 1-10 ◽

Cited By ~ 1

Author(s):

C. Gurley

Keyword(s):

Yield Line ◽

Flat Slabs ◽

Plastic Yield ◽

Torsion Free ◽

Line Analysis

Download Full-text

Automatic yield-line analysis of slabs using discontinuity layout optimization

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2014.0071 ◽

2014 ◽

Vol 470 (2168) ◽

pp. 20140071 ◽

Cited By ~ 23

Author(s):

Matthew Gilbert ◽

Linwei He ◽

Colin C. Smith ◽

Canh V. Le

Keyword(s):

Effective Means ◽

Maximum Load ◽

Layout Optimization ◽

Benchmark Problems ◽

Potential Yield ◽

Yield Line ◽

The Past ◽

Critical Yield ◽

Line Patterns ◽

Line Analysis

The yield-line method of analysis is a long established and extremely effective means of estimating the maximum load sustainable by a slab or plate. However, although numerous attempts to automate the process of directly identifying the critical pattern of yield-lines have been made over the past few decades, to date none has proved capable of reliably analysing slabs of arbitrary geometry. Here, it is demonstrated that the discontinuity layout optimization (DLO) procedure can successfully be applied to such problems. The procedure involves discretization of the problem using nodes inter-connected by potential yield-line discontinuities, with the critical layout of these then identified using linear programming. The procedure is applied to various benchmark problems, demonstrating that highly accurate solutions can be obtained, and showing that DLO provides a truly systematic means of directly and reliably automatically identifying yield-line patterns. Finally, since the critical yield-line patterns for many problems are found to be quite complex in form, a means of automatically simplifying these is presented.

Download Full-text