Shear correction factor of functionally graded beam
In this study, an approach to determinate the shear correction factor for beam made of functionally graded materials (FGM) is presented. This factor appears in the expression of the shear force in beam. Based on the first-order deformation theory and energy equivalence principle, expressions of the shear correction factor for three types of FG beams (P-FGM, S-FGM, E-FGM) is developed. Here, the modulus of elasticity of the FG beam is assumed to vary according to distribution functions in terms of the volume fractions of the constituents. The aim of this paper is to present a simple approach for determination the expression of the shear correction factor in FG beam based on the first-order beam deformation theory, one-dimensional case. In the numerical results section, several influences of material parameters, the ratio of elastic moduli, and Poisson ratio on the shear deformation factor are also investigated. Finally, several conclusions for shear deformation factor given show significant differences in comparison with the value 5/6.
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