The Geometry of Equilibrium
Cambridge University Press (Verlag)
978-1-009-39761-2 (ISBN)
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James Clerk Maxwell is one of the giants of scientific thought, and whilst his groundbreaking contributions to electromagnetism and statistical physics are well known, his profound insights into the theory of structures are appreciated less widely. Maxwell's approach was deeply geometrical, and this richly illustrated book reveals his astute perception of the remarkable dualities that exist between the form of a structure and the forces it can carry, with understandings that will surprise contemporary readers. Early chapters introduce the background in which Maxwell was working, followed by contributions by leading researchers describing the latest applications of these ideas. Subsequent chapters introduce the many subtopics that this work embraces. The book ends with Maxwell's original papers on structural mechanics, each annotated to highlight and explain the ideas therein. This is a wonderful resource for mathematicians, scientists, engineers, and designers to enter this rich and underexplored aspect of the genius of Maxwell.
William F. Baker is Consulting Partner at Skidmore, Owings and Merrill. He was the Structural Engineer for the world's tallest man-made structure (the Burj Khalifa in Dubai). He has received awards including the ASCE Outstanding Projects and Leaders Lifetime Award for Design and the Gold Medal of the Institution of Structural Engineers. He holds honorary doctorates from University of Stuttgart, Heriot-Watt University, Illinois Institute of Technology and University of Missouri. Allan McRobie is Professor of Structural Engineering at the University of Cambridge. He previously authored 'The Seduction of Curves' (2017) on the mathematics of curved geometry.
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.
| Erscheint lt. Verlag | 31.5.2025 |
|---|---|
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Naturwissenschaften | |
| Technik ► Bauwesen | |
| ISBN-10 | 1-009-39761-3 / 1009397613 |
| ISBN-13 | 978-1-009-39761-2 / 9781009397612 |
| Zustand | Neuware |
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