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• 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.

• Comparison of the Euler-Bernoulli- and Solid Models of Three-Point Bending Test Specimens

  53-68

  Zsolt Vadai

  Views:

  159

  For hand calculations, the Euler-Bernoulli beam model has become widespread in engineering practice due to its simplicity and accuracy. In the present study, I compare the state variables calculated based on the Euler-Bernoulli model of a crack-free concrete beam and a crack-free concrete beam reinforced with FRP bars with the result of the three-dimensional solid body model.

• Investigation of the Eigenfrequency of the Bending Vibration of the Beam Clamped at Both Ends Around the Principle Directions of Inertia Based on a Single-Degree Freedom Model and a Finite Element Method Analysis

  69-79

  Zsolt Vadai

  Sándor Hajdu

  Imre Kovács

  Views:

  215

  In this study, we have dealt with the calculation methods of the eigenfrequencies associated with the bending vibrations of rectangular-shaped beams clamped at both ends. Said eigenfrequencies were determined analytically in the single-degree of freedom model of the beam and the case of the three-dimensional solid and three-dimensional rod models by finite element modal vibration analysis. We presented the calculation method of the characteristics of the analytical model and then calculated the eigenfrequency for a concrete example. We have described the concept of modal characteristics, and in the following, we have determined its natural frequency based on the solid-beam and rod models of the former beam. We calculated and compared the solutions belonging to the models recorded in different ways in 11 additional cases of the presented methods.