Strength of Materials

, Volume 23, Issue 6, pp 703–710 | Cite as

Toward the problem of static deformations in curvilinear rods

  • L. D. Magomaev
Scientific-Technical Section


The article presents expressions for deformation tensor components, potential energy, differential equations, and boundary conditions as applied to a curvilinear rod with axis curved along a circle of given radius and subject to the effect of concentrated tensile and bending loads. Analytical solutions of three boundary value problems on bending and tension of a cantilever rod with axially constant cross section are given under some simplifying assumptions. Characteristics of the stress-strain state of curvilinear rods are noted for various methods of loading.


Boundary Condition Differential Equation Potential Energy Static Deformation Tensor Component 
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Literature cited

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    L. D. Magomaev, “Toward the theory of rods with curvilinear axis,” Prikl. Mekh.,20, No. 4, 68–74 (1984).Google Scholar
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    Yu. S. Vorob'ev and B. F. Shorr, The Theory of Rods in Torsion [in Russian], Naukova Dumka, Kiev (1983).Google Scholar
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    L. D. Magomaev, “Toward determination of deformation parameters of prismatic rods,” Probl. Prochn., No. 10, 82–90 (1986).Google Scholar
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Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • L. D. Magomaev
    • 1
  1. 1.F. É. Dzerzhinskii Higher Naval Marine Engineering InstituteUSSR

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