Abstract: An overrunning wheel brake has a brake drum, two brake shoes including a first brake shoe which, upon forward movement will be leading, and a second brake shoe, a bracket member provided with at least one guiding part arranged to support the first brake shoe, a tensioning member formed as an eccentric cam expanding the bracket in direction toward the drum and acting in running up direction of the first shoe, at least one incline provided on the first brake shoe in the region of its contact with the guiding part of the bracket member and forming relative to an outer curvature of the first brake shoe a wedge surface tapering in the running-up direction of the first brake shoe, an abutment member, and a displaceable pin arranged so that the brake shoes abut via the pin against one another and against the abutment member, and the tensioning member abutting with its free end against the second brake shoe via the pin.