3 papers
math.MG2026
A Complete Graphic Statics for Rigid-Jointed 3D Frames. Part 3: Loops for Kinematics
Allan McRobie
In Part 3 of this sequence of papers, the kinematic behaviour of 3D frame structures is described using the loop formalism that was developed in Part 2 to describe equilibrium. The…
math.MG2026
A Complete Graphic Statics for Rigid-Jointed 3D Frames. Part 2: Homology of loops
Allan McRobie
This paper extends graphic statics by describing the forces and moments in any 3D rigid-jointed frame structure in terms of cell complexes using homology theory of algebraic topolo…
math.MG2024
A Complete Graphic Statics for Rigid-Jointed 3D Frames. Part 1: Legendre Transforms for Moments
Allan McRobie
We extend graphic statics to describe the forces and moments in 3D rigid-jointed frame structures. Graphic statics relates the form diagram (the geometrical layout of structural ba…