Utilizing the Timoshenko beam theory and applyingHamilton’s principle, the present study will establishbending vibration equations of an axially-loaded beamwith internal viscous damping. The finite element methodwill be used to discretize the equations of motion intolinear second-order ordinary differential equations withconstant coefficients. A quadratic eigenvalue problem willthen be formed to investigate the effects of the dampingcoefficient axial load and restraint condition on thedamped frequency of beams. It is believed that the presentmodel is valuable for the parametric studies to understandbetter the various variables of the beam with internalviscous damp.