Around 1935-55 there were a couple of manufacturers, of steel archery bows, Seefab (Swedish), and Accles(English). I have a few in my bow collection.
I have shot some of them, they are okay but not spectacular with cast. I was warned against shooting them due to being made of hollow tubular steel pipe, and the interior was prone to rust. Even spring steel will eventually work harden and break, even when not rusty.
By the late 1940's, fibreglass composites began to be used and they performed better than steel and didn't break, so the popularity of the modern steel bow didn't last long.
There were also a few American steel bows made. I think they were a bit different, flat bar steel, or aluminum with a built up handle, instead of being 2 piece joined at the handle.