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This paper introduces a Galerkin spectral element method (GSEM) for hybrid beam. The considered beam model depends upon the first order shear deformation theory (FSDT) is taken into account. The Galerkin strategy is used to formulate the spectral stiffness matrix based on the frequency. The spectral element method (SEM) is assessed by contrasting its solution with the exact analytical results accessible from literature as well as with the results by finite element method (FEM). This technique shows accuracy and computational efficiency with minimum number of element.