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On Deformation of an Euler-Bernolli Beam Under Terminal Force and Couple

P.B. Béda1
HAS-TUB Research Group of the Dynamics of Machines and Vehicles, Technical University Budapest, Bertalan L. 2, H-1111 Bu-dapest, Hungary

Computer Modeling in Engineering & Sciences 2003, 4(2), 231-238. https://doi.org/10.3970/cmes.2003.004.231

Abstract

The paper studies the behavior of a spatial Euler-Bernoulli beam loaded by a terminal thrusting force and a couple. The classical Clebsch-Kirchhoff equilibrium equations are written by using appropriate angular coordinates describing the finite rotations of the local frames attached to each cross-sections of the beam with respect to a fixed system. When we have geometric boundary conditions at one end and dynamic boundary conditions (a force and a couple) at the other the set of equilibrium equations form and initial value probem which can easily be solved with standard Runge-Kutta method.

Keywords

spatial Euler-Bernoulli beam, finite rotation, terminal thrust and couple.

Cite This Article

Béda, P. (2003). On Deformation of an Euler-Bernolli Beam Under Terminal Force and Couple. CMES-Computer Modeling in Engineering & Sciences, 4(2), 231–238.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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