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An interpolation technique-based meshfree method using polynomial functions is employed to analyze the static behavior of sandwich beams with functionally graded face sheets and homogenous softcore. Various beam theories are expressed in general form and taken into account both shear deformation and normal deformation effects. The governing equation is derived from the principle of virtual work. The obtained results have been verified with the previously published works and a good agreement is found. The effects of skin-core-skin thickness ratios, material volume fraction indices, slenderness ratios, shear deformation, and thickness stretching effect on deflection and axial stress are investigated and discussed.