yeah thats god awful.
Nashoors?
Why rofl.
wheres your HP?
the only thing from that I'd buy its wits end and then I'd have frozen heart+ warmongs/randuims
maybe against double melee AD carry I'd go thornmail.
Frozenheart still the better choice in a 5v5 by far though.
This build has carried me, with variants like Hourglass doing insane ult damage with Nashor's on-hit magical getting buffed by the 120 ap bost.
Warwick isn't just a tank fighter, he is a extremely powerful 1 v 1 duelist and a Duelist usually doesn't tank. WW is a AA relient monster that requires no Lifesteal or else it's over kill.
Nashor has atk speed, spell vamp (Q and R) as well as On-Hit magical damage and mixes with Devourer's magicial on-hit damage. Add in Wit's End for the MR reduction, spirit for extra sustain and MR as well as Thornmail for AD and then WW is unkillable in 1 v 1.

Your issue is that you insist that WW is a tank champion but that means he is one-trick pony. CC somebody with ult and AoE boost with W, then you just sit around and get killed.
This is enough to solo Baron.
This is enough to solo Dragon.