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A continuous and aligned fiber-reinforced composite is produced which is 55% by volume carbon fiber and 45% by volume epoxy matrix. Relevant data: E

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A continuous and aligned fiber-reinforced composite is produced which is 55% by volume carbon fiber and 45% by volume epoxy matrix. Relevant data: E (GPa) Tensile strength (MPa) Material Carbon fiber 260 Epoxy matrix 2.4 4000 80 (a) Calculate the longitudinal and transverse elastic moduli of this composite. (b) Assume that the fibers deform elastically until failure. Under longitudinal stress, at what stress and strain do the fibers fail? (c) Assume the matrix is also still deforming elastically when the fibers fail. What stress is on the matrix at this point? (d) What is the tensile strength of the material?

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