On designing plane-faced funicular gridshells Journal Article uri icon



  • Concepts from isotropic geometry, Timoshenko’s shell theory, Airy stress functions and Maxwell’s reciprocal diagrams are combined in the design of plane-faced funicular gridshells. The notions of self-Airy and mixed-Airy gridshells are introduced, with an emphasis on self-tied gridshells. This paper extends the work of J.C. Maxwell for 2D pin-jointed trusses to 2.5D gridshells with the addition of a new reciprocal figure called the slope diagram. The form, force and slope diagrams are combined by a mixed area calculation to produce another new figure called the Maxwell-Mondrian diagram. A powerful new design process leveraging the relationship between the gridshell geometry and the Airy stress function is presented.

publication date

  • March 1, 2023

has restriction

  • closed

Date in CU Experts

  • January 26, 2023 1:39 AM

Full Author List

  • Millar C; Mitchell T; Mazurek A; Chhabra A; Beghini A; Clelland JN; McRobie A; Baker WF

author count

  • 8

Other Profiles

International Standard Serial Number (ISSN)

  • 0956-0599

Electronic International Standard Serial Number (EISSN)

  • 2059-8033

Additional Document Info

start page

  • 40

end page

  • 63


  • 38


  • 1