<p>An analytical examination of the size-dependent behaviors - specifically bending, buckling, and free vibrations — of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) nanobeams was carried out. Employing the nonlocal elasticity theory alongside the higher-order shear deformation beam theory (HSDBT), the governing equations of motion were derived using Hamilton's principle. The nanobeams incorporate single- walled carbon nanotubes (SWCNTs) within a polymer matrix, arranged in four distinct reinforcement patterns: uniform distribution (UD), FG-O, FG-X, and FG-V. The extended rule of mixtures was applied to estimate the effective material properties of the FG-CNTRC nanobeams. Analytical solutions were derived for static bending, buckling, and free vibrations of simply supported nanobeams. Numerical examples were provided to verify these analytical results and to explore how various parameters influence the nanobeam behavior.</p>