Discontinuous Maxwell–Rankine stress functions for space frames

Allan McRobie, Chris Williams

Research output: Contribution to journalArticle

61 Downloads (Pure)

Abstract

This article shows how bending and torsional moments in three-dimensional frames can be represented via a discontinuous Maxwell–Rankine stress function. The associated Rankine reciprocal contains polygonal faces whose areas represent forces. These faces are orthogonal to the member forces (which may include shear forces) and need not be orthogonal to the beams.

Original languageEnglish
Pages (from-to)35-47
JournalInternational Journal of Space Structures
Volume33
Issue number1
DOIs
Publication statusPublished - 1 Mar 2018

Fingerprint

Three-dimensional

Keywords

  • frames
  • graphic statics
  • grillage analysis
  • Maxwell stress function
  • Rankine reciprocal diagrams

ASJC Scopus subject areas

  • Conservation
  • Civil and Structural Engineering
  • Architecture
  • Building and Construction

Cite this

Discontinuous Maxwell–Rankine stress functions for space frames. / McRobie, Allan; Williams, Chris.

In: International Journal of Space Structures, Vol. 33, No. 1, 01.03.2018, p. 35-47.

Research output: Contribution to journalArticle

@article{3a4f71a97d1446b18460e5a204040c09,
title = "Discontinuous Maxwell–Rankine stress functions for space frames",
abstract = "This article shows how bending and torsional moments in three-dimensional frames can be represented via a discontinuous Maxwell–Rankine stress function. The associated Rankine reciprocal contains polygonal faces whose areas represent forces. These faces are orthogonal to the member forces (which may include shear forces) and need not be orthogonal to the beams.",
keywords = "frames, graphic statics, grillage analysis, Maxwell stress function, Rankine reciprocal diagrams",
author = "Allan McRobie and Chris Williams",
year = "2018",
month = "3",
day = "1",
doi = "10.1177/0266351118763500",
language = "English",
volume = "33",
pages = "35--47",
journal = "International Journal of Space Structures",
issn = "0266-3511",
publisher = "Multi-Science Publishing Co. Ltd",
number = "1",

}

TY - JOUR

T1 - Discontinuous Maxwell–Rankine stress functions for space frames

AU - McRobie, Allan

AU - Williams, Chris

PY - 2018/3/1

Y1 - 2018/3/1

N2 - This article shows how bending and torsional moments in three-dimensional frames can be represented via a discontinuous Maxwell–Rankine stress function. The associated Rankine reciprocal contains polygonal faces whose areas represent forces. These faces are orthogonal to the member forces (which may include shear forces) and need not be orthogonal to the beams.

AB - This article shows how bending and torsional moments in three-dimensional frames can be represented via a discontinuous Maxwell–Rankine stress function. The associated Rankine reciprocal contains polygonal faces whose areas represent forces. These faces are orthogonal to the member forces (which may include shear forces) and need not be orthogonal to the beams.

KW - frames

KW - graphic statics

KW - grillage analysis

KW - Maxwell stress function

KW - Rankine reciprocal diagrams

UR - http://www.scopus.com/inward/record.url?scp=85044728465&partnerID=8YFLogxK

U2 - 10.1177/0266351118763500

DO - 10.1177/0266351118763500

M3 - Article

AN - SCOPUS:85044728465

VL - 33

SP - 35

EP - 47

JO - International Journal of Space Structures

JF - International Journal of Space Structures

SN - 0266-3511

IS - 1

ER -