You are to design a carbon fibre-reinforced epoxy specimen having a round cross-sectional area. The specimen is 3 m long and, when a force of 2.2 kN is applied, it should strength no more than 2.5 mm. The stress acting on the specimen must be less than the yield strength of the epoxy matrix, which is 80 MPa. The epoxy has a modulus of elasticity of 3.5 GPa. (a) Calculate the maximum strain, tensile strength (in MPa), and area (in mm) the specimen can obtain if there were no carbon fibres present [3 Marks] (b) If the maximum strain is still to be maintained with a stress of 80 MPa, calculate the modulus of elasticity of the specimen [1 Mark] (c) If the volume fraction of the carbon fibre is 0.176, what is the diameter of the specimen (in mm) to achieve the above-given properties? [4 Marks] (d) Calculate the percentage of waste material removed from the specimen by the reinforcement of the carbon fibres [3 Marks]