Engelmann studied at the Vienna University of Technology, specializing in railway engineering. He built the Kraftwerk Wienerbruck power station, the Landessiechenanstalt Oberhollabrunn hospital, and was manager of the Niederösterreichischen Eisenbahnamtes (Lower Austrian Railway office) of the Mariazellerbahn.
In 1909, he built the first ever artificial ice rink on land, which was established as an ice rink by his father Eduard Engelmann Sr., in the Hernals district of Vienna. In 1912, he built, in Vienna's Heumarkt district, what was at the time the largest artificial ice rink in Europe. The rink was improved on in later years; in 1932, the ice rink covered 3,000 square meters. He built another rink in Budapest in 1922.
In 1944, shortly after his death, the rink he built in Vienna-Hernals was bombed and totally destroyed. It was rebuilt after World War II and reopened in 1946; today, the location holds a supermarket, which, since 1974, has had an artificial ice rink attached.
Other
As a cyclist, Engelmann was one of the founders of the Wiener Cyclisten-Clubs (Cyclists Clubs of Vienna). He won the cycling championships for unicyclists three times in the German cyclists' union.