A material predictive model that accounts for strain-rate effects and captures the effect of variable axial load on the dynamic response of glulam structural members subjected to combined lateral-blast and axial loading is developed and validated using experimental data for full-scale blast tests on beam and column specimens. Composite resistance curves, which capture the loss in axial load as the column displaces laterally, were shown to corroborate well with the measured axial-load time history and resistance curves. It was also found that the columns' resistance can be obtained using an equivalent lateral-load approach when experimentally measured displacement, pressure, reaction, and axial-load time histories are considered. The model was also capable of predicting the maximum displacement and time to maximum displacement with reasonable accuracy.