Statics of Rods

The volume is devoted to mechanics of rods, which is a branch of mechanics of deformable bodies. The main goal of the book is to present systematically theoretical fundamentals of mechanics of rods as well as numerical methods used for practical purposes. The monograph is concerned with the most general statements of the problems in mechanics of rods. Various types of external loads that a rod may be subject to are discussed. Advanced technique that includes vector analyses, linear algebra, and distributions is used in the derivation of linear and nonlinear equilibrium equations. The use of this technique helps us to make transforations and rearrangement of equations more transparent and compact. Theoretical basics of rods interacting with external and internal flows of fluid and the derivation of the formulas for the hydrodynamic and aerodynamic forces are presented.
TOC: Introduction; Equilibrium Equations; Integration of Equilibrium Equations; Static Stability of Rods; Straight Rods; Curvilinear Rods; Rods Interacting with Liquid or Air Flows; Appendices; Slution of the Problems