Assessment of bending solution of beam with arbitrary boundary conditions: an accurate comparison of various approaches

Document Type : Research

Authors

1 Assistant Professor, Civil Engineering Department, Faculty of Engineering, University of Mohaghegh Ardabili, Iran

2 Civil engineering, University of Mohaghegh Ardabili, Iran

Abstract

Bending responses are the important characteristics of structures. In this paper, the bending solution of the thin and thick beams which are elastically restrained against rotation and translation are presented using various theories. Hence, accurate and direct modeling technique is offered for modeling of the thin and thick beams. The effect of the values of the span-to-depth ratio and type of the beam supports are assessed to state accurate comparison of various theories. Finally, the numerical examples are shown in order to present the evaluation of the efficiency and simplicity of the various theories. The results of the theories are compared with the results of the finite element method (ABAQUS). Based on the results, using the Timoshenko beam theory, the obtained values are in good agreement with the Finite Element modeling for the values of the span-to-depth ratio (L/h) less than 3. On the other hands, due to ignoring the shear deformation effect, the Euler–Bernoulli theory underestimates the deflection of the moderately deep beams (L/h=5).

Keywords

References

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Numerical Methods in Civil Engineering
Volume 2, Issue 2
December 2017
Pages 63-76

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History

  • Receive Date: 01 May 2017
  • Revise Date: 11 September 2017
  • Accept Date: 06 October 2017

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