This paper presents a novel Timoshenko beam element based on the framework of strain
gradient elasticity theory for the analysis of the static bending, free vibration and buckling
behaviors of Timoshenko microbeams. The element proposed is a two-node element which
has 6-DOF (degrees of freedom) at each node considering both bending and stretching
deformations, and 4-DOF considering only bending deformation. Unlike the classical
Timoshenko beam element, the current element satisfies the C 0 continuity and C 1 weak …