While the points here are pertinent, there is still the need for a broader term.
The Wikipedia article adds:
Valves are technically fittings, but are usually discussed separately
Something fitted; a piece of apparatus or furniture, a fixture. Usu. in pl.
Oxford-Duden (and Langenscheidt's):
Armatur -- fitting / (in cars) instrument
Ernst also has the entry: fitting(s), mounting(s)
Duden also offers a broad set of meanings -- lat. armatura = Ausrüstung
a) Ausrüstung von technischen Anlagen...
b) Gerät zum Schalten, Bedienen...
c) Vorrichtung zum Drosseln ...
Here is an example, this site has a list of
"Various water supply fittings",
and these include all the pipe parts and valves:http://www.plumbinghelp.ca/waterfittings.php