Many of the modern methods of structural analysis based on concepts of virtual work and energy were developed and popularised in Italy in the latter half of the nineteenth century. Building on the work of Luigi Menabrea, the mathematician Carlo Alberto Castigliano (1847-84) provided the first full proof of these methods in his 1873 dissertation while based in Turin. Equally important was his popularisation of the theory in his Théorie de l'équilibre des systèmes élastiques et ses applications (1879), in which he applied his theory to a wide range of important real-world cases. The work is here reissued in its 1919 English translation, by the consulting engineer and lecturer Ewart S. Andrews. Castigliano covers the basic theory of elastic stresses, introducing useful approximations; he then moves on to the analysis of real structures, including roof trusses, arches and bridges in both iron and masonry.
|Publisher:||Cambridge University Press|
|Series:||Cambridge Library Collection - Physical Sciences Series|
|Product dimensions:||6.69(w) x 9.61(h) x 0.83(d)|
Table of ContentsAuthor's preface; Translator's preface; Notation; Part I. Theory: 1. Framed structures; 2. Elastic structures; 3. General equations of the elastic equilibrium of a solid; 4. Approximate applications; 5. Theory of lattice girders; 6. Formulae for the internal work of different solid bodies; 7. Theory of straight beams; 8. Theory of columns; 9. Theory of curved ribs and arches; 10. Theory of composite structures; 11. Imperfectly elastic stresses; Part II. Application to Practical Examples: 12. Study of a beam strengthened by two tie-rods and a cast-iron strut; 13. Study of a beam strengthened by three tie-bars and two cast-iron struts; 14. Study of a beam strengthened by three iron tie-bars and two cast-iron struts; 15. Study of a roof with trusses; 16. Study of an arched roof-truss with a single tie-rod; 17. Study of a roof-truss of the Polonceau type; 18. Study of an arched roof-truss with several tie-rods; 19. Study of an arched roof-truss with several tie-bars; 20. Study of an arched roof-truss with several tie-bars; 21. Study of an iron arch bridge with flat springings; 22. Study of an iron arch bridge with rounded ends; 23. Study of a bridge masonry arch bridge constructed over the Oglio; 24. Study of a stone bridge erected over the Doire at Turin; Index.