Elastic Stresses in Structures
Translated from Castigliano's Théorem de l'equibre des systèmes élastiques et ses applications

The 1919 English translation of the classic nineteenth-century work that proved the use of virtual work methods for structural analysis.

Alberto Castigliano (Author), Ewart S. Andrews (Translated by)

9781108070263, Cambridge University Press

Paperback / softback, published 25 September 2014

400 pages, 15 b/w illus.
24.4 x 17 x 2.1 cm, 0.64 kg

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.

Author'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.

Subject Areas: History of science [PDX]