A shaft brake ( 120, 220 ) for a motor vehicle having a stage-geared gearbox ( 1 ). The shaft brake ( 120, 220 ) includes a first brake element ( 128 ) coupled in a rotationally secure manner to the shaft ( 105 ), and a corresponding second brake element ( 127, 227 ) coupled in a rotationally secure manner to a gearbox housing ( 15, 16 ), which second brake element is intended to interact with the first brake element through axial movement, wherein the friction surfaces, upon contact, brake the shaft ( 105 ). The first brake element ( 128 ) is integrated with and constitutes part of the shaft ( 105 ). The cap ( 221 ) is integrated with the gearbox housing or the clutch case ( 215 ). A cup spring ( 230 ), for returning the piston ( 222 ) and separating the friction surfaces, is disposed between the piston ( 222 ) and a rotationally secure part ( 133 ) disposed in the gearbox. The shaft brake can brake an intermediate shaft ( 105 ) in the gearbox ( 1 ).
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