Abstract: Micromechanical actuation apparatus includes a substrate with an actuator mounted on the substrate and a micro-transmission mounted on the substrate coupled to the electrothermal actuator. The actuator, such as an electrothermal actuator, is responsive to electrical power to drive two output beams inwardly or outwardly in opposite directions. The micro-transmission couples the force from the two output beams and transmits the displacement of the output beams to an output node of the micro-transmission. The amplification of the micro-transmission provides a much larger displacement of a beam connected to the output node than the displacement of the output beams of the actuator.