A continuous-fiber composite is loaded transversely, in the direction normal to the fiber alignment. We may model the fiber and matrix as two materials in series: the two materials experience the same stress; and "share" the deformation in the transverse direction, so that the material's net deformation is the sum of the deformation of each element. Develop an expression for the effective elastic modulus of the composite material in terms of the moduli and volume fractions of its fiber and matrix constituents.