Eccentric clamping bushing having a geometry which is also eccentric in the tensioned state, comprising an upper half-shell element and a lower half-shell element, which, lying one on top of the other, form a full shell which has in longitudinal section an oval, ellipsoid or arcuate-rectangular contour whose long axis is aligned perpendicular to the surface of the two half-shell elements lying one on top of the other, where each of these shell elements is composed of an outer half-shell plate having said longitudinal section contour and an inner half-shell plate, where the latter has in longitudinal section a semi-circular contour and, together with the inner identical half-shell plate of the other half-shell element when they lie one on top of the other, forms a cylindrical cavity which accommodates the clamping bushing axle and firmly surrounds the latter after the half-shell elements have been joined together to form the complete clamping bushing and tensioning thereof, characterised in that the outer half-shell plate and the inner half-shell plate of each half-shell element are firmly connected to one another by two side segments and a central segment, which are shaped analogously to the half-shell element and fill the space between the half-shell plates, where (i) the side segments comprise alternating elastomer layers and intermediate plates with at least two elastomer layers and one intermediate plate, (ii) the central segment comprises alternating elastomer layers and intermediate plates with at least three elastomer layers and two intermediate plates, where all layers of this segment are elastomer layers, (iii) the ratio of the outside diameter of the full bushing, composed of two half shells arranged one above the other, in the vertical direction (a) to the outside diameter of the half or full bushing in the horizontal direction (b) is 1.2 to 1.5, so that the radius of the outer half-shell plate and thus of the clamping bushing in the horizontal dimension is less than in the vertical dimension, and the ratio of the layer thickness in the centre of the half bushing in the vertical direction (c) to the layer thickness at the front face of the half bushing in the horizontal direction (d) is 1.5 to 2.5, so that each half shell and also the full shell is eccentric in relation to the bushing axle, both in the untensioned state and also in the pretensioned state, and (iv) the number of elastomer layers and plates of the side segments is smaller than the respective member of elastomer layers and plates of the central segment of a half-shell element. (i) the side segments comprise alternating elastomer layers and intermediate plates with at least two elastomer layers and one intermediate plate, (ii) the central segment comprises alternating elastomer layers and intermediate plates with at least three elastomer layers and two intermediate plates, where all layers of this segment are elastomer layers, (iii) the ratio of the outside diameter of the full bushing, composed of two half shells arranged one above the other, in the vertical direction (a) to the outside diameter of the half or full bushing in the horizontal direction (b) is 1.2 to 1.5, so that the radius of the outer half-shell plate and thus of the clamping bushing in the horizontal dimension is less than in the vertical dimension, and the ratio of the layer thickness in the centre of the half bushing in the vertical direction (c) to the layer thickness at the front face of the half bushing in the horizontal direction (d) is 1.5 to 2.5, so that each half shell and also the full shell is eccentric in relation to the bushing axle, both in the untensioned state and also in the pretensioned state, and (iv) the number of elastomer layers and plates of the side segments is smaller than the respective member of elastomer layers and plates of the central segment of a half-shell element.