As far as I am aware the timescale of withdrawing the various roarers were as follows:-
Class 84 - 1980
Class 82 - 1987
Class 83 - 1989
Class 81 - 1991
Class 85 - 1992
Most were due to the Class 87 becoming fully on stream, with the '86s covering shorter journeys that the earlier classes used to do, and the 87's doing the "prestige" routes such as the "Royal Scot" to Glasgow and the "Manchester Pullman" in the morning and evenings. It was'nt until the late 80's/early nineties that I saw 87's being common in Manchester.
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The 84's went first as I hear that they were the most un-reliable, and a small class too. 82's and 83's were not as powerful as the later versions.
As for Home Depots, the 86's and 87's were at Willesden and the 85's were split between Longsight and Crewe. I think from my old ABC book that the 83's were at Longsight, the 82's were Crewe, and the 81's were at Glasgow, but I could be wrong.
Not much to add to that other than the 81s were Shields Road based and carried a white Salmon badge painted on the side underneath the number.
A little more info.
Class 81s were built by Birmingham Railway Carriage & Wagon Company with electrical equipment by Associated Electrical Industries (British Thompson Houston). They were transferred en-masse to Shields in 1975 with the electrification of the Main Line to Glasgow.
Class 82s were built by Beyer-Peacock with electrical equipment by Associated Electrical Industries (Metropolitan Vickers). They were originally fitted with Mercury-Arc rectifiers but these were replaced with a Silicon semi-conductor type. The Class was alocated to Longsight for its whole life (apart from the last years when some wnet to Willesden).
Class 83s were built by English Electric (Vulcan Foundry) with electrical equipment by English Electric. They were withdrawn en-masse in 1969 following problems with the water cooled Mercury-Arc rectifiers and put to store. Once the electrification to Glasgow was authorised Silicon Rectifiers fitted to the fleet during refurbishment at Doncaster in 1973-74. The fleet was allocated to Longsight throughout their entire main line life.
Class 84s were built by the North British Locomotive Company with electrical equipment by the General Electric Company. The entire class had problems with poor riding qualities which were never resolved and in 1968 they were withdrawn en-masse because of the same problems with the mercury arc rectifiers as the 83s. Again with the electrification of the Main Line, these locos were rebuilt at Doncaster and returned to service in 1972
Class 85s were built by British Railways (Doncaster) with electrical equipment by Associated Electrical Industries. This equipment was the same as the 81s. They were allocated to Longsight from new until 1973 when they went to Crewe DED until withdrawal.
The 87s were designed and designated to work the Main Line to Glasgow from 1974, leaving the 86s to continue working other London services and Freightliner services. Cross Country services were generally worked by 81/85s from Birmingham northwards and back