Structural Engineering and Mechanics
Volume 67, Number 3, 2018, pages 291-300
DOI: 10.12989/sem.2018.67.3.291
Single variable shear deformation model for bending analysis of thick beams
Salima Abdelbari , Lemya Hanifi Hachemi Amar , Abdelhakim Kaci , Abdelouahed Tounsi
Abstract
In this work, a new trigonometry theory of shear deformation is developed for the static analysis of thick isotropic beams. The number of variables used in this theory is identical to that required in the theory of Euler-Bernoulli, sine function is used in the displacement field in terms of the coordinates of the thickness to represent the effects of shear deformation. The advantage of this theory is that shear stresses can be obtained directly from the relationships constitute, while respecting the boundary conditions at the free surface level of the beam. Therefore, this theory avoids the use of shear correction coefficients. The differential equilibrium equations are obtained using the principle of virtual works. A thick isotropic beam is considered, whose numerical study to show the effectiveness of this theory.
Key Words
thick beam; high order theory; virtual working principle; bending
Address
- Salima Abdelbari — 1) Departement de Genie Civil, Institut des Sciences et de la Technologie, Centre Universitaire de Ain Temouchent, Algeria 2) Civil Engineering Department, Faculty of Technology, Material and Hydrology Laboratory, University of Sidi Bel Abbes, Algeria
- Lemya Hanifi Hachemi Amar — 1) Departement de Genie Civil et Hydraulique, Faculte de Technologie, Universite Dr Tahar Moulay, BP 138 Cite En-Nasr 20000 Saida, Algerie 2) Laboratoire des Ressources Hydriques et Environnement, Universite Dr Tahar Moulay, BP 138 Cite En-Nasr 20000 Saida, Algerie
- Abdelhakim Kaci — 1) Civil Engineering Department, Faculty of Technology, Material and Hydrology Laboratory, University of Sidi Bel Abbes, Algeria 2) Departement de Genie Civil et Hydraulique, Faculte de Technologie, Universite Dr Tahar Moulay, BP 138 Cite En-Nasr 20000 Saida, Algerie
- Abdelouahed Tounsi — 1) Civil Engineering Department, Faculty of Technology, Material and Hydrology Laboratory, University of Sidi Bel Abbes, Algeria 2) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
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