The fibers in a unidirectional composite have square cross sections with fiber dimensions, a, on each side and fiber center-to-center spacing, s, arranged in a square array similar to that shown in Figure 3

The fibers in a unidirectional composite have square cross sections with fiber dimensions, a, on each side and fiber center-to-center spacing, s, arranged in a square array similar to that shown in Figure 3.1. Assuming that the fibers are oriented perpendicular to the page and that the dimensions a and s do not change along the length of the composite, find the expression for the fiber volume fraction for the composite in terms of the dimensions a and s, then determine the maximum theoretical fiber volume fraction.