Done up

"You'd better lie down for a bit. I expect you're about done up." -- "There's nowhere for me to lie down, sir," he answered, and there was in his voice a humbleness which was very distressing. -- "Don't you know anyone in the house who'll give you a shakedown? -- "No, sir."

"By ginger, I'm glad you came along, Mudgy; I give you my word I couldn't have walked another half-mile. I'm done up, absolutely."

Near-synonyms: effete, dissipated