A curved, inflated, tubular beam consists of braided fibers and axial fibers on an elastomeric barrier. The construction can be accomplished on a short, straight mandrel. The curvature along the beam can be varied to suit the design needs. The angle of the braid in the bias fibers determines the inflated curvature when axial fibers situated within the braid along the inside of the curvature constrain the elongation on the inside of the curvature. The curved shape can be reinforced by having tape cemented to the outside of the inflated tube. While very small and very large tubes can be perfected for a range of inflation pressures and beam strengths, the preferred embodiment is a 12 3/4-inch diameter tube, 60 feet long forming an arch for a tent 30 feet wide and 24 feet high.