Braking and/or clamping device for a shaft guided in relation to a base body with an actuation assembly and with a shaft-connection assembly (80, 100), - wherein the actuation assembly comprises a gap housing which comprises an attachment zone and a bending zone that can be elastically buckled in sections with two bending plates (15, 16) spaced apart by an outwardly orientated gap space, - wherein each bending plate (15, 16) comprises pincer jaws (23, 24) with friction surfaces (31, 32) in two opposing clamping zones whose surface normals are pointed inwards, - wherein each bending plate (15, 16) - for supporting at least one support element - comprises an axial groove (17, 18) from the gap space, - wherein there is a sealed gap space between the bending plates (15, 16) and at least one support element, which can be filled with a pressure medium for the purpose of elastically pushing the friction surfaces (31, 32) apart, - wherein the shaft-connection assembly (80, 100) comprises a singly or multiply divided ring or at least two circular ring segments as a brake disc, - wherein the shaft-connection assembly (80, 100) comprises a coupling area which has two interspaced friction surfaces (91, 92), the surface normals of which point outwards, - wherein the friction surfaces (31, 32) of the actuation assembly are applied to the friction surfaces (91, 92) of the shaft-connection assembly (80, 100) with the gap space being unburdened, thereby providing the clamping and/or braking force, characterized in that - the support element is an elastically deformable metallic support strip, the length of which corresponds to the average length of the individual axial groove (17, 18), and - the single axial groove (17, 18) comprises at least one threading groove that flows into it. - wherein the actuation assembly comprises a gap housing which comprises an attachment zone and a bending zone that can be elastically buckled in sections with two bending plates (15, 16) spaced apart by an outwardly orientated gap space, - wherein each bending plate (15, 16) comprises pincer jaws (23, 24) with friction surfaces (31, 32) in two opposing clamping zones whose surface normals are pointed inwards, - wherein each bending plate (15, 16) - for supporting at least one support element - comprises an axial groove (17, 18) from the gap space, - wherein there is a sealed gap space between the bending plates (15, 16) and at least one support element, which can be filled with a pressure medium for the purpose of elastically pushing the friction surfaces (31, 32) apart, - wherein the shaft-connection assembly (80, 100) comprises a singly or multiply divided ring or at least two circular ring segments as a brake disc, - wherein the shaft-connection assembly (80, 100) comprises a coupling area which has two interspaced friction surfaces (91, 92), the surface normals of which point outwards, - wherein the friction surfaces (31, 32) of the actuation assembly are applied to the friction surfaces (91, 92) of the shaft-connection assembly (80, 100) with the gap space being unburdened, thereby providing the clamping and/or braking force, characterized in that - the support element is an elastically deformable metallic support strip, the length of which corresponds to the average length of the individual axial groove (17, 18), and - the single axial groove (17, 18) comprises at least one threading groove that flows into it.