Abstract: “In this study, buckling analysis of composite Timoshenko beam is conducted and a functional is presented by applying mixed finite element method with Gâteaux differential. Mixed finite element model has four unknowns, deflection, bending moment, rotation and shear force. For the analysis, composite straight beams with different boundary conditions are considered. Accuracy of the presented functional and mixed finite element formulation is shown by comparing the results of numerical examples with the ones available in the literature. The results obtained in this study are found to be in good agreement.”

Keywords: buckling, composite Timoshenko beams, functional analysis method, Mixed Finite Element Method