Rankine reciprocal diagrams in three dimensions

Akbarzadeh M., Van Mele T., Lee J., Hablicsek M. and Block P.
J.C. Maxwell and the Geometry of Structures
Cambridge University Press

This chapter will expand on the properties of reciprocal diagrams in three dimensions (3D) based on Rankine’s 1864 “Principle of Equilibrium of Polyhedral Frames” and Maxwell’s contribution to the definition of reciprocity in 3D.


    author    = "Akbarzadeh, M. and Van Mele, T. and Lee, J. and Hablicsek, M. and Block, P.",
    title     = "Rankine reciprocal diagrams in three dimensions",
    booktitle = "J.C. Maxwell and the Geometry of Structures",
    publisher = "Cambridge University Press",
    year      = "2024",
    editor    = "Baker, W. et al.",
    chapter   = "0"
    pages     = "",
    address   = "",
    month     = "",
    doi       = "",
    note      = "in press",

Related publications

Akbarzadeh M., Van Mele T. and Block P.On the Equilibrium of Funicular Polyhedral Frames and Convex Polyhedral Force Diagrams,Computer-Aided Design,63: 118-128,2015.
Lee J., Van Mele T. and Block P.Disjointed Force Polyhedra,Computer-Aided Design,99: 11-28,2018 (June).
Akbarzadeh M.Three-dimensional Graphical Statics using Polyhedral Reciprocal Diagrams,ETH Zurich, Department of ArchitectureZurich,2016 (October).
Lee J.Computational Design Framework for 3D Graphic Statics,ETH Zurich, Department of ArchitectureZurich,2018.


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