Steel–concrete–steel (SCS) composites are used in marine and offshore structures because of their resistance to corrosion, impact, and severe environmental conditions. Given the difficulty of directly assessing the concrete core, this study investigated the capability of the Discrete Wavelet Transform (DWT) to analyze damage-related events in SCS beams equipped with separately corrugated strip connectors (SCSC). The total energy history (ETOTAL) obtained from validated numerical models was used as the input signal and decomposed using different mother wavelets; the first-level detail coefficients were used for the analysis. The novelty of this study lies in applying DWT to the total energy history of SCS beams and simultaneously examining the occurrence time, corresponding location, and relative severity of damage-related disturbances. Local peaks in the detail coefficients were interpreted as indicators of damage-related events and matched with the corresponding numerical-analysis increments to determine their occurrence time and compare their relative severity. Quantitatively, the relative severity index (RSI) increased from 0.42–0.60 during the initial cracking stages to 1.00 at final failure, while the first event in the WSCS-n2 beam was detected at 2.97 s. The results showed that the db3, sym3, and fk8 wavelets for the WSCS-n2 beam, and the db6, db7, and fk22 wavelets for the WSCS beam, produced local peaks with higher normalized amplitudes or relative disturbance severity indices.