Buckling Analysis of FG Timoshenko Beam Based on Physical Neutral Surface Position

Abstract

The paper investigates the buckling analysis of the functionally graded Timoshenko beams with arbitrary boundary conditions. The investigation focuses on the critical buckling loads, considering factors such as the slenderness ratio, boundary conditions, and the power-law index. The method involves defining the effective properties of the FG beam by rule of mixture, with physical neutral surface is assumed as a reference surface. Numerical results are presented, demonstrating the variation of the non-dimensional neutral surface position with the power law index for different material property ratios. The study concludes by discussing the influence of slenderness ratio, power law index value, and boundary conditions on critical buckling load of FG Timoshenko beams.