Suspension of axial turret bearing units (15, 71) for a turret bearing comprising: a rail support structure mountable on a turret bearing support structure, a circular rail mounted to the rail support structure, a plurality of axial bearing units (15, 71) running on the circular rail, a shaft for each bearing unit (15, 71) with each bearing unit (15, 71) attached to the outer end of the shaft, an inner support structure for supporting the inner end of each shaft, a releasable inner shaft anchoring point for connecting each shaft to the inner support structure, wherein each shaft is terminated just outside the inner support structure an outer shaft suspension close to each bearing unit, characterized in that each outer shaft suspension comprises: a collar with an inner width similar to the width of the shaft and an inner height substantially higher than the height of the shaft, a transitional section connected to the collar, a plate section connected to the transitional section and fastened to a bearing support structure (17, 17') on the turret, wherein the plate section is large enough to spread the applied loads on said structure, wherein the collar is thicker than the plate section and wherein the transitional section of the outer shaft suspension is as thick as the collar close to said collar, and then tapers off to a thickness similar to that of the plate section closer to said plate section; wherein a width of the plate section, in the tangential direction of the turret, is wider than the width of the collar and the transitional section; and the plate section is fastened to the bearing support structure (17, 17'), thus providing an outer shaft suspension which is stiff with regard to forces in the transverse direction (horizontal forces transverse to the shaft), and resilient to vertical bending of the shaft. a rail support structure mountable on a turret bearing support structure, a circular rail mounted to the rail support structure, a plurality of axial bearing units (15, 71) running on the circular rail, a shaft for each bearing unit (15, 71) with each bearing unit (15, 71) attached to the outer end of the shaft, an inner support structure for supporting the inner end of each shaft, a releasable inner shaft anchoring point for connecting each shaft to the inner support structure, wherein each shaft is terminated just outside the inner support structure an outer shaft suspension close to each bearing unit, characterized in that each outer shaft suspension comprises: a collar with an inner width similar to the width of the shaft and an inner height substantially higher than the height of the shaft, a transitional section connected to the collar, a plate section connected to the transitional section and fastened to a bearing support structure (17, 17') on the turret, wherein the plate section is large enough to spread the applied loads on said structure, wherein the collar is thicker than the plate section and wherein the transitional section of the outer shaft suspension is as thick as the collar close to said collar, and then tapers off to a thickness similar to that of the plate section closer to said plate section; wherein a width of the plate section, in the tangential direction of the turret, is wider than the width of the collar and the transitional section; and the plate section is fastened to the bearing support structure (17, 17'), thus providing an outer shaft suspension which is stiff with regard to forces in the transverse direction (horizontal forces transverse to the shaft), and resilient to vertical bending of the shaft. a collar with an inner width similar to the width of the shaft and an inner height substantially higher than the height of the shaft, a transitional section connected to the collar, a plate section connected to the transitional section and fastened to a bearing support structure (17, 17') on the turret, wherein the plate section is large enough to spread the applied loads on said structure, wherein the collar is thicker than the plate section and wherein the transitional section of the outer shaft suspension is as thick as the collar close to said collar, and then tapers off to a thickness similar to that of the plate section closer to said plate section; wherein a width of the plate section, in the tangential direction of the turret, is wider than the width of the collar and the transitional section; and the plate section is fastened to the bearing support structure (17, 17'), thus providing an outer shaft suspension which is stiff with regard to forces in the transverse direction (horizontal forces transverse to the shaft), and resilient to vertical bending of the shaft.