What do you need on your motor replacement checklist in addition to a preliminary investigation that would reveal such things as voltage imbalance, load issues, and mounting issues? Concurrent with this investigation, someone needs to be ordering the replacement motor (unless you happen to have one in your storeroom). So the checklist should include a parallel activity to investigate motor and drive applicability for the application. The original motor may have been specified for conditions that are different now.
Simply getting another of the same horsepower rating isn't sufficient. Someone needs to walk through the application conditions to ensure the correct motor will replace the one that failed. While the plant electricians are probably capable of this analysis, they are already under pressure, and this is really a support function that should come from plant engineering.
If you order a new motor for a critical application, consider having it first delivered to your motor service shop for balancing and insulation resistance testing.