The analytical method decribed in the authors' previous paper is utilized to calculate the elastic moduli of unidirectional fiber-reinforced composites modelled by a square array acking of fibers. A π/4-rotated model of the psquare array isconsidered to calculate in-transverse-plane shear modulus for convenience of using a Fourier cosine series. Numerical results show that elastic symmetry of a composite modelled by a square array is the same as tetragonal crystal class. The transverse elastic moduli, ET, G
TT, and ν
TT, varyin the transverse plane when such a symmetry exists, whereas the longitudinal shear modulus, G
LT, is constant. The average values of those moduli, except for G
LT, are very close to the corresponding values for the hexagonal array. Those results are almost independent of material and geometrical parameters. Off-axis properties are also obtained using independent moduli.
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