A method of making a fiber reinforced hoop includes forming two plates having a face opposing one another and defining an outer periphery with a recessed groove to define a channel between the two plates. Fibrous strands coated with an adhesive are wrapped around the two plates within the channel a plurality of times. The adhesive is allowed to cure so that the fibrous strands form a rigid hoop. In a particular embodiment, the two plates are connected to a rotary spindle to rotate the two plates a plurality of times as the fibrous strands are fed into the channel. In a still further embodiment, multiple plate sets can be mounted to rotate with the spindle and fibrous strands can be wound into the channels in each of the plate sets so that multiple hoops can be formed and cured simultaneously.