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As John said the terms biggest, most powerful...and so on, depend on how do you want to define it. But, one locomotive that has been mentioned as being heavier and more powerful than UP Big Boy was class M-3 locomotive of the Duluth, Missabe & Iron Range Railway (DMIR). Eight of these single-expansion 2-8-8-4 Mallets were ordered from Baldwin in 1941. Here are some of the data of this locomotive, compared to Big Boy.
Boiler Diameter: M-3 104 in.; Big Boy 95 in.
Boiler Pressure: M-3 240 lb.; Big Boy 300 lb.
Engine Wheelbase: M-3 67 ft. 2 in.; Big Boy 75 ft. 5 1/2 in.
Engine+Tender Wheelbase: M-3 113 ft. 4 1/2 in.; Big Boy 117 ft. 7 in.
Locomotive Weight: M-3 699,700 lb.; Big Boy 762,000 lb. (772,000 lb. in 2nd batch)
Engine+Tender Weight: M-3 1,138,000 lb.; Big Boy 1,198,000 lb. (1,209,000 lb. in 2nd batch)
Adhesion Weight: M-3 565,000 lb.; Big Boy 540,000 lb.
Tractive Force: M-3 140,000 lb.; Big Boy 133,375 lb.
As you can see the Big Boys were longer and heavier, but the M-3 had slightly more adhesion weight and tractive force. Thus, the Big Boys were the largest and heviest locomotive ever built, but they were probably not the most powerful. I do not think that there was any locomotive in Europe or anywhere else that ever came close to these locomotives. Here we are talking about locomotives (and tenders) that weighed more than 500 tonnes, with about 60 tonnes tractive force.
The Big Boys had one big advantage over the M-3, and that was speed. I do not know the top speed of the M-3, but it was definitely less than that of the Big Boys which were designed for a top speed of 70 m.p.h. Most of the traffic on the Duluth, Missabe & Iron Range Rlwy. (~95%) was the transportation of iron ore to ports on the Great Lakes. Class M-3 locomotive were used to haul ore trains. It was said that they made an 80 miles round trip run in 12 hours, hauling an ore train weighing more than 6000 tons one way and, presumably, empty hopper cars on the return trip.
The Matt H. Shay, which was also built by Baldwin in 1914 for the Erie Railroad, had a tractive force of 160,000 lb. and a total weight of 853,050 lb. It was a triple artculated compound locomotive (Triplex) with a wheel arrangement of 2-8-8-8-2. The Erie used this engine in heavy pusher service on the Starruca grade near Susquehanna, N.Y. Two more locomotives of this type were ordered in 1916. They were not successful, mainly because the boilers, big as they were, could not supply enough steam to three pairs of cylinders.
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