W recent years, considerable interest has developed in filament-reinforced plastics This new, composite material possesses many advantageous material properties including a high strength-to-weight ratio, which compares favorably with homogeneous metallic materials At one time, the fabrication of filament reinforced plastic pressme vessels presented itself as a formidable problem, but the difficulties have since been overcome There still remain some problems of analysis, but these too are being solved Conventional elasticity formulas are not applicable for use in analyzing filament-reinforced plastics because some of the material property assumptions of classical elasticity are invalid Instead, it is necessary to derive new relations based on suitable simplifying assumptions In recognition of this fact, Kitzmiller, DeHaven, and Young assumed in their analysis of a filament reinforced plastic pressure vessel that the resin is used as a binder with no force carrying capacity Their approach, commonly referred to as the netting analysis, was subsequently extended by Zickel and Read 3 In a later analysis of the problem Hoffman included the force carrying capacit}^ of the resin and derived formulas which contain orthotropic material constants The material constants of the composite material depend upon the properties and distribution of the filament and the resin Changes in its composition will affect the material constants in a way that may be studied experimentally, analytically, or by a combination of the two The analytic point of view will be developed in the present paper Bell, Brown, Ekvall, and Cutwater, to name a few, were motivated toward similar objectives All but one confined his analytical work to materials loaded in the direction of the reinforcing filaments They found relations similar to those presented at the beginning of the present paper Ekvall, on the other hand, also considered the complementary problem in which an external force was applied normal to the direction of the reinforcing filaments It is the purpose of the present paper to analyze the behavior of filament reinforced plastics from a solid mechanics point of view The study is directed toward an evaluation of the stress strain relations in the direction of and normal to the internal filaments Each analysis will be conducted with the aid of an equivalent model Unlike the work of the previous investigators, the present study will not be confined to the elastic range, but will include the elastic-plastic range as well To the best of the author's knowledge, HofTman is the only other investigator who has heretofore used a plastic yield condition in his analysis of a reinforced plastic