Abstract: A conical sleeve with a male screw thread for fixing a length of tube as a handle to a broom head has inner ridges sloping towards the axis of the sleeve as they get nearer the narrower end of the sleeve. On driving the length of tube into the sleeve, grooves are folded inwards by the ridges. At their ends nearest the narrower end of the sleeve, the ridges have radial faces, over which the end of the tube is bent and splayed for producing a strong locking action and stopping any twisting of the tube in relation to the sleeve.