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Structural Engineering and Mechanics Volume 95, Number 1, July10 2025 , pages 43-50 DOI: https://doi.org/10.12989/sem.2025.95.1.043 |
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Analysis and modeling of the behavior of exponentially graded cantilever beams loaded by various parabolic distribution loads |
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Abdelaziz Hadj Henni and Tahar Hassaine Daouadji
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| Abstract | ||
| This paper investigates the plane stress problem of a cantilever beam subjected to variable loading in bending. The material properties of the beam vary continuously through thickness, according to an exponential distribution. The study proposes a high-order Airy function related to parabolic loading boundary conditions, based on compatibility equations. A mathematical formulation with parameters based on parabolic loading is developed, and a numerical application presented to evaluate the influence of different parameters on the objectives. The solution obtained satisfactory results, indicating its potential for structural calculations. | ||
| Key Words | ||
| cantilever beams; exponentially graded materials; parabolic distribution loads; static analysis | ||
| Address | ||
| Abdelaziz Hadj Henni: Civil Engineering Department, University of Tiaret, Algeria Tahar Hassaine Daouadji: Civil Engineering Department, University of Tiaret, Algeria; Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria | ||