Natural basic principles of the study of the state of equilibrium, and the motion, of bodies that are both perfectly flexible and elastic
Euler introduces the idea of resultant shear, and he derives the general differential equations for a deformable line bent in its own plane. Together with E481, this work combines the elastica and catenary into one conceptual framework. (Based on Clifford Truesdell's An idiot's fugitive essays on science: methods, criticisms, training, circumstances.)
Original Source Citation
Novi Commentarii academiae scientiarum Petropolitanae, Volume 15, pp. 381-413.
Opera Omnia Citation
Series 2, Volume 11, pp.37-61.