Effect of boundary conditions for functionally graded beams under uniformly distributed load

Abdelaziz Hadj Henni and Tahar Hassaine Daouadji

Abstract

This article explores the impact of support conditions on a uniformly loaded FGM beam, focusing on hyperstaticity and material heterogeneity. It presents a mathematical formulation based on elasticity theory, considering edge conditions to predict stress and displacement distribution. Numerical tests validate the influence of these conditions on the FGM beam's supports, resulting in satisfactory resistance and stability. The study also presents numerical tests to validate the results, demonstrating the importance of considering the different parameters of variations in support conditions at the edge.

Key Words

boundary conditions; elastic properties; elasticity solution; functionally graded beams; static analysis

Address

Abdelaziz Hadj Henni: Department of Civil Engineering, Ibn Khaldoun University of Tiaret, Algeria Tahar Hassaine Daouadji: Department of Civil Engineering, Ibn Khaldoun University of Tiaret, Algeria; Laboratory of Geomatics and Sustainable Development LGéo2D, University of Tiaret, Algeria

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