This manual describes procedures for the linear-elastic time-history dynamic analysis and development of acceleration time-histories for seismic design and evaluation of concrete hydraulic structures. The manual provides guidance on the formulation and performance of the linear-elastic time-history dynamic analyses and how the earthquake input time-histories are developed and applied. Time-history dynamic analysis is employed as the final design and evaluation procedure to compute the probable seismic behavior of a concrete hydraulic structure in accordance with the progressive method of analysis described in Engineer Regulation (ER) 1110-2-1806 and Engineer Manual (EM) 1110-2-6050.