This analysis investigates static bending responses in functionally graded beams, suggesting key design implications for composite materials and elastic foundations.
Beams made from variable mechanical properties materials are increasingly used in the fields of construction and transportation. The article presents a study on the static bending response of functionally graded composite beams resting on a two-parameter elastic foundation based on an exact solution. The material of the plate varies exponentially with the thickness variation. The calculations are formulated based on Timoshenko's first-order shear deformation theory, and the equilibrium equations of the beam are derived using the principle of virtual work. An analytical method is employed to derive expressions for displacement and rotation at any point along the beam. The reliability of the study is validated by comparison with previously published solutions. Furthermore, this study also investigates the effects of material, geometric, and elastic foundation parameters on the displacement and rotation responses of the composite beam. This research serves as a significant foundation for engineers in designing and manufacturing practical structures
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Nguyen et al. (2025) studied this question.
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