Graphic statics using discontinuous Airy stress functions

Christopher Williams, Allan McRobie

Research output: Contribution to journalArticlepeer-review

21 Citations (SciVal)


It is known that the equilibrium of two-dimensional trusses can be represented using Maxwell reciprocal diagrams and polyhedral Airy stress functions, with the change in slope of the stress function corresponding to a tension force. This article generalises the analysis to include two-dimensional frames, showing how a discontinuity in the value of the Airy stress function corresponds to a bending moment.
Original languageEnglish
Pages (from-to)121-134
Number of pages14
JournalInternational Journal of Space Structures
Issue number2-4
Publication statusE-pub ahead of print - 5 Aug 2016


  • Airy stress function
  • Maxwell reciprocal diagrams
  • frames
  • kirigami
  • graphic statics


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