AbstractA test methodology that utilizes unidirectional, hoop‐wound tubes to determine matrix‐dominated mechanical properties of unidirectional fiber composite lamina is described. Longitudinal shear modulus and strength as well as transverse Young's modulus, transverse tensile strength, and transverse compressive strength are obtained from a single thin‐walled tube specimen and fixturing design. Data presented for two carbon‐fiber‐reinforced epoxy composite materials illustrate the simplicity and precision of the described