Graphic statics using discontinuous Airy stress functions

Christopher Williams; Allan McRobie

doi:10.1177/0266351116660794

Graphic statics using discontinuous Airy stress functions

Christopher Williams, Allan McRobie

Department of Architecture & Civil Engineering

University of Cambridge

Research output: Contribution to journal › Article › peer-review

21 Citations (SciVal)

Abstract

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 language	English
Pages (from-to)	121-134
Number of pages	14
Journal	International Journal of Space Structures
Volume	31
Issue number	2-4
DOIs	https://doi.org/10.1177/0266351116660794
Publication status	E-pub ahead of print - 5 Aug 2016

Keywords

Airy stress function
Maxwell reciprocal diagrams
frames
kirigami
graphic statics

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10.1177/0266351116660794

Cite this

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title = "Graphic statics using discontinuous Airy stress functions",

abstract = "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.",

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AU - McRobie, Allan

PY - 2016/8/5

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AB - 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.

KW - Airy stress function

KW - Maxwell reciprocal diagrams

KW - frames

KW - kirigami

KW - graphic statics

U2 - 10.1177/0266351116660794

DO - 10.1177/0266351116660794

M3 - Article

SN - 0266-3511

VL - 31

SP - 121

EP - 134

JO - International Journal of Space Structures

JF - International Journal of Space Structures

IS - 2-4

ER -

Graphic statics using discontinuous Airy stress functions

Abstract

Keywords

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