Resin-coated filaments wound around a mandrel to make a plastic pipe or fittings. In making a fitting with a nonlinear axis, the mandrel is supported with one end adjacent a winding station and rotated about an axis substantially tangent to the nonlinear axis at the winding station. The rotating mandrel oscillates back and forth past the winding station while maintaining the nonlinear axis substantially tangent to the axis of rotation. Resin-coated filaments pass between longitudinally spaced and curved guide fingers and are wrapped around the rotating mandrel in overlapping helical patterns as it moves back and forth past the winding station. The mandrel is removed from the fitting after the resin has cured.