Estimation of vibration characteristics and thus the seismic loads acted on steel framed structures are influenced by the presence of semi-rigid connections and accurate modeling of shear deformations and rotary inertia effects. This paper presents a finite element model that takes into account all these effects in order to calculate consistent stiffness and mass matrices. The formulation of the element utilizes three fields Hu-Washizu-Barr principle, where the need for displacement shape function approximation is eliminated through the use of force-based approach. The proposed model does not require extra discretization to capture localized connection response. An accurate shear correction coefficient for I shaped steel sections is implemented to represent shear deformation and rotary inertia along steel beams and columns. Numerical examples on single member, portal frame and multi-story steel framed structures verify the accuracy and robustness of the proposed element with and without semi-rigid connections. (C) 2017 Elsevier Ltd. All rights reserved.