draped, adj.¹ — Green’s Dictionary of Slang

draped adj.¹

[? one is draped across the bar or around another’s shoulders]

(orig. milit.) drunk.

1941		‘Soldiers’ Talk’ in Tampa Trib. (FL) 21 July 5/4: draped, intoxicated.
1944		H.B. Hersey G.I. Laughs 171: Slightly draped, a couple of sheets in the wind.
1984		Partridge DSUE (8th edn) 339/1: Services officers; since 1939.