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• An Analytical Solution for Static Problems of Cantilever Curved Beams with Variable Cross Sections

  226-233

  István Ecsedi

  Ákos Lengyel

  Attila Baksa

  Dávid Gönczi

  Views:

  145

  This paper gives an analytical method to obtain the deformation of a cantilever curved beam. The curved beam considered has circular centre line and the thickness of the cross section in radial direction depends on the circumferential coordinate. The kinematics of the Euler-Bernoulli beam model is used to formulate of governing equations. The curved homogeneous and isotropic elastic beam is fixed at the one of the end cross section and on the other end cross section is subjected to concentrated forces and a couple. A numerical example illustrates the applications of the derived formulae.

• Torsion of Truncated Hollow Spherical Elastic Body

  234-240

  István Ecsedi

  Ákos Lengyel

  Attila Baksa

  Dávid Gönczi

  Views:

  138

  This paper deals with the torsion of a body of rotation whose shape is a truncated hollow sphere. The material of the truncated hollow sphere is isotropic, homogeneous and linearly elastic. To solve the torsion problem, the theory of torsion of shafts of varying circular cross section is used, which is introduced by Michell and Föppl. Analytical solution is given for the shearing stresses and displacements. A numerical example illustrates the application of the presented solution. The results of the presented numerical example can be used as a benchmark problem to verify the accuracy of the results computed by finite element simulations.