Abstract: A transition piece for connection between a gas turbine combustor and a stage of the gas turbine, the transition piece being generally tubular and having an upstream end for connection to the gas turbine combustor and a downstream or aft end for connection to the turbine stage, the aft end defined by radially inner and outer sides, and wherein the aft end is formed with a peripheral rib extending about the end and wherein at least one of the radially inner and outer sides has an external frame support secured thereto and extending substantially completely between the opposite sides which provides resistance to external pressure at the aft end while permitting the transition piece to expand thermally.