1) A hybrid unidirectional E-glass/T-300 carbon/intermediate-modulus high-strength epoxy composite is to be designed to have an overall longitudinal thermal expansion coefficient of zero in order to ensure the best possible thermal stability under varying service temperatures

1) A hybrid unidirectional E-glass/T-300 carbon/intermediate-modulus high-strength epoxy composite is to be designed to have an overall longitudinal thermal expansion coefficient of zero in order to ensure the best possible thermal stability under varying service temperatures. It is also required that in order to ensure that the material will be sufficiently stiff, the volume fraction of T-300 carbon fibers is to be twice the volume fraction of the E-glass fibers. (a) Using the properties in Tables 3.1 and 3.2 and neglecting voids in the material, determine the required volume fractions of T-300 carbon fibers and E-glass fibers. (b) Assuming that the T-300 carbon fibers and E-glass fibers have approximately the same diameters, and that the fibers are packed in a triangular array, is the composite design of part (a) feasible?

2) Derive Equations 5.26 and 5.30.