Apparatus for making a seamless composite tube comprises a mold which includes an elongate single piece carbon fiber and resin composite and aperture means extending longitudinally through said composite for insertion of a mandrel on which resin impregnated fibrous material may be applied for curing and molding thereof, a mandrel which includes an elongate cylindrical body having a pair of end portions and cavity means internally thereof and intermediate said end portions and insertable in said aperture means for curing and molding of resin impregnated fibrous material applied thereon, means comprising an electrical heating element disposed in said cavity means and electrical wires for supplying electrical energy to said heating element for generating heat for curing resin impregnated fibrous material applied on the mandrel, a radially outer surface on said body, bladder means disposed about said radially outer surface and responsive to pressurizing thereof for pressing a resin impregnated fibrous material which is applied thereon outwardly against said aperture means for molding of the resin impregnated fibrous material, passage means in each of said end portions for applying air pressure for pressurizing said bladder means, air pressure inlet means in one of said mandrel end portions, said passage means being in flow communication with said cavity means whereby said cavity means allows the passage of air pressure between said passage means in both said end portions, means in the other of said mandrel end portions for routing said electrical wires into said cavity means for connection to said heating element, means for sealing said routing means against escape of air pressure from said cavity means, and rigid means including a cylindrical member disposed about said single piece composite in closely surrounding relation for maintaining straightness of the single piece composite, said cylindrical member is composed of a composite of cured resin impregnated carbon fibrous material wherein the fibers thereof are oriented at an angle which is greater than about 60 degrees relative to a radial plane of the mold.