An analytical method is proposed for the prediction of load‐deflection and stress‐strain relations in two‐dimensional elastomeric composites where the properties are highly nonlinear. Such materials are represented by various textile cords used as reinforcements in a rubber matrix. The analytical procedure involves a forward prediction process for simultaneous nonlinear equations and can readily be implemented for automated computer use. Experiments on nonlinear tubes are reported and computation of load‐deflection relationships observed in those experiments are compared with experimental data. The predictions generally agree with the observed behavior.