Type (a) Fido is a dog. Copular (b) Fido is happy. Copular (c) Fido is under the table. Copular (d) Fido is barking. Not Copular [Main Verb = bark]
(a) Fido is a dog. Predicative NP (b) Fido is happy. Predicative AdjP (c) Fido is under the table. Predicative PP