Transmission for power take-off

A PTO transmission transmits power from an engine-driven shaft to a PTO shaft. The transmission includes a variable displacement hydraulic pump driven by the engine-driven shaft. A planetary transmission unit includes a ring gear driven by the engine-driven shaft, a planet carrier drivingly coupled to the PTO shaft, planet gears rotatably mounted on the planet carrier and in meshing engagement with the ring gear, and a sun gear in meshing engagement with the planet gears and drivingly connected to a fixed displacement variable speed hydraulic motor hydraulically driven by the pump. A one-way clutch is coupled to the sun gear. The one-way clutch allows the sun gear to rotate in only one direction so that at rated engine speed all power is transmitted mechanically.