The Geometry of Equilibrium

List of Contributors; Preface; Editorial note; Part I. Maxwell and Structural Mechanics: 1. James Clerk Maxwell and structural mechanics William Baker and John Ochsendorf; 2. The importance of Maxwell's writings for 21st-century structural mechanics William Baker, Petia Tzokova, Juney Lee and Allan McRobie; 3. Geometric rigidity theory Robert Connelly, Simon Guest, Bernd Schulze and Walter Whiteley; 4. Maxwell's relevance to modern research in materials Heinrich Jaeger, Sidney Nagel and Vincenzo Vitelli; 5. Isotropic and architectural geometry Cameron Millar and Helmut Pottmann; 6. A brief introduction to mid-19th-century projective geometry and topology Marina Konstantatou and William Baker; Part II. Concepts from Maxwell's Articles on Structural Mechanics: 7. Plane reciprocal diagrams Corentin Fivet, Allan McRobie and William Baker; 8. Rules on counting, mechanisms and states of self-stress Allan McRobie and Marina Konstantatou; 9. The unit load method and the Maxwell reciprocal theorem Petia Tzokova, William Baker and Allan McRobie; 10. Maxwell's load path theorem William Baker and Petia Tzokova; 11. Projections of polyhedra Marina Konstantatou, William Baker and Allan McRobie; 12. Legendre transforms and polarities Allan McRobie and Marina Konstantatou; 13. Rankine reciprocal diagrams in three dimensions Masoud Akbarzadeh, Tom Van Mele, Juney Lee, Marton Hablicsek and Philippe Block; 14. Vector-based form and force diagrams in three dimensions Pierluigi D'Acunto and Patrick Ole Ohlbrock; 15. The two methods of representing stress in a three-dimensional body Toby Mitchell; 16. On the equilibrium of stress in a solid body Alessandro Beghini and Toby Mitchell; Part III. Annotated Original Articles by Maxwell on Structural Mechanics: note about this re-edition of Maxwell's papers; 1864a. On reciprocal figures and diagrams of forces; 1864b. On the calculation of the equilibrium and stiffness of; 1867. On the application of the theory of reciprocal polar figures to the construction of diagrams of forces; 1868. On reciprocal diagrams in space, and their relation to Airy's function of stress; 1870a. On reciprocal figures, frames, and diagrams of forces; 1870b. Communication: On reciprocal figures, frames, and diagrams of forces; 1876. On Bow's method of drawing diagrams in graphical statics, with illustrations from Peaucellier's linkage; References; Index.