Problem Set 10 - MECH 210 Materials Science and Engineering...

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MECH 210 – Materials Science and Engineering Problem Set 10, Fall Semester 2008 Due Friday (12/12) 1. In an aligned and continuous carbon fiber-reinforced nylon 6,6 composite, the fibers are to carry 97% of a load applied in the longitudinal direction. (a) Using the data provided, determine the volume fraction of fibers that will be needed. (b) What will be the tensile strength of this composite? The matrix at fiber failure is 50 MPa. Modulus of Elasticity (GPa) Tensile Strength (MPa) Carbon fiber 260 4000 Nylon 6,6 2.8 76 2. A continuous aramid fiber-reinforced polycarbonate composite consists of 45 vol% aramid fibers, and has a cross-sectional area of 480 mm 2 . The composite is subjected to a longitudinal load of 53,400 N. Modulus of Elasticity (GPa) Tensile Strength (MPa) Density (g/cm 3 ) Aramid fiber 131 3600 1.44 Polycarbonate 2.4 65 1.20 1040 steel 207 520 7.85 (a) Calculate the fiber-matrix load ratio. (b) Calculate the actual loads carried by fiber and matrix phases.
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