A method for forming a material having an individually stabilized ply includes providing a ply having a non-orthogonal orientation. A stabilizing agent is then applied to maintain the orientation of the ply. The stabilizing agent could alternately be applied before forming the ply. The ply may be woven in a non-orthogonal orientation, or may have its orientation changed to the final non-orthogonal orientation. Changing may occur over multiple steps and may include using an accumulator and/or payout station to change the orientation.