Advances in gas turbine technology depend in large measure upon advances in materials technology. Arbitrary stringent criteria for room temperature spefific strengths and moduli and for 2000 F, 1000-hr stress-rupture strength were chosen for design goals. Required fiber properties to meet these criteria were calculated for fiber and matrix material combinations of widely ranging densities. It was demonstrated, on a first approximation basis, that numerous composite materials with specific tensile or stressrupture strengths, and specific moduli superior to those of conventional materials can be "designed" from fiber and matrix materials available today.