Shock spectrum analysis method for dynamic demand of bridge structures subjected to barge collisions

► We develop a shock spectrum analysis (SSA) for barge collisions design of bridge structures. ► We establish the equation of shock spectrum analytically. ► The proposed shock spectrum agrees with the numerical result. ► Most combinational rules in earthquake engineering are not always adequate for barge impacts. ► We find that the results from the (SSA) are in good agreement with the expected results.