Engineers, designers, applied mathematicians, physicists, and historians of science can now directly access James Clerk Maxwell's seminal ideas in structural mechanics. Annotations of his texts combined with summaries of the latest research show how this often-overlooked aspect of Maxwell's work has immediate relevance for 21st-century design.
Engineers, designers, applied mathematicians, physicists, and historians of science can now directly access James Clerk Maxwell's seminal ideas in structural mechanics. Annotations of his texts combined with summaries of the latest research show how this often-overlooked aspect of Maxwell's work has immediate relevance for 21st-century design.
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.
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.
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