In this problem, the mechanical properties of a continuous fiber composite with 33% volume percent carbon fiber (with all fibers parallel to each other) is calculated and compared to that of an epoxy resin polymer matrix composite with short chopped fibers with the same volume fraction of the fiber phase. Assume both composites are loaded such that they provide maximum stiffness.You can use the following values to solve the problems below:

Elastic modulus of fiber: 206 GPa

Elastic modulus of matrix: 3.5 GPa

1. Calculate the modulus of elasticity for the continuous fiber composite
2. Calculate the modulus of elasticity for the composite with the short chopped fibers
3. Assume the continuous fiber composite is mechanically loaded with a stress of 50 MPa parallel to the fiber axis, with a cross-sectional area of 300 mm². What fraction of the load will be supported by the fibers?
4. For the situation described in (c), calculate the strain of the fiber and the polymer matrix phase.