PCT No. PCT/EP87/00781 Sec. 371 Date Aug. 18, 1988 Sec. 102(e) Date Aug. 18, 1988 PCT Filed Dec. 15, 1987 PCT Pub. No. WO88/04707 PCT Pub. Date Jun. 30, 1988.A support plate, particularly a ribbed plate for fastening rails of railroad tracks and track switches on wooden sleepers. The support plate is connected in the vicinity of its ends, in each instance, with the wooden sleeper by means of screws or the like which engage in the through-holes, whereas the rail flange is supported in each instance in the area of the plate between the fastening points on the sleeper side. On the underside of the plate, shoulders are provided or constructed only in the area of the through-holes for the fastening screws, which shoulders project out of the plane of the plate and have a thickness of approximately 1 mm to 2 mm. As a result of the cooperation between the shoulders and the fastening screws, the support plate has a convex curvature, so that its underside comes in supporting contact with the upper surface of the wooden sleeper.