One of the most important examples of transverse excitation of beam-columns is structural reinforced
concrete (RC) columns under blast loading. Under accidental or intentional explosions next to the buildings,
external columns are the most critical and vulnerable structural elements. In this paper, tow analytical approaches
are used to predict the first maximum dynamic response of rectangular RC column under simultaneously effect of
axial force and transverse blast loading. The first analytical model is based on continuous formulation of EulerBernoulli beam theory and the second model is a single degree of freedom (SDOF) approach. Both of the
approaches consider strain rate effects on nonlinear behavior of materials (concrete and steel reinforcement) and
secondary effects of P-δ. Results of proposed models for predicting the first maximum lateral response of column
under impulsive, dynamic and quasi-static loading regimes are compared to the results of nonlinear finite element
analysis. The outcomes indicate undesirable discrepancies under high levels of axial force and quasi-static loading
conditions. Nevertheless, in the impulsive and dynamic regimes and moderate and low axial load ratio, the
differences in the results are acceptable. Afterward, the analytical models are used to evaluate Pressure-Impulse (PI) diagram for RC column under blast loading and effective factors on it.