b. i. Calculate the tensile modulus of elasticity of a unidirectional Kevlar-49 fibers epoxy composite material that contains 63% by volume of Kevlar 49 fibers and is stressed under isostrain conditions. The Kevlar 49 fibers have a tensile modulus of elasticity of 189.8 GPa and the epoxy matrix a tensile modulus of elasticity of 3.8 GPa.

For a glass/epoxy lamina with a 70% fiber volume fraction using the properties in the tables provided below (a) Find the ultimate tensile strength. (b) Find the minimum and critical fiber volume fractions related to (a). (c) Find the compressive strength when the matrix undergoes extension mode and when the matrix undergoes shear mode, which one controls the compressive failure? Property Axial modulus Transverse modulus Axial Poisson's ratio Transverse Poisson's ratio Shear modulus Axial tensile strength Axial compressive strength Transverse tensile strength Transverse compressive strength Shear strength Epoxy Glass Units 3.4 85 GPa 3.4 85 GPa 0.3 0.20 0.3 0.20 1.308 35.42 GPa 72 1550 MPa 102 1550 MPa 72 1550 MPa 102 1550 MPa 34 35 MPa

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A continuous and aligned fiber-reinforced composite having a cross-sectional area of 1200 mm² is subjected to an external tensile load. If the stresses sustained by the fiber and matrix phases are 152 and 2.27 MPa, respectively, the force sustained by the fiber phase is 72300 N, and the total longitudinal strain is 0.00143, determine the following: (a) The force sustained by the matrix phase (in N). i (b) The modulus of elasticity of the composite material in the longitudinal direction (in GPa). i N i (c) The modulus of elasticity for the fiber phase (in GPa). GPa i GPa (d) The modulus of elasticity for the matrix phase (in GPa). GPa

An unknown polymer sample was found to have the following molecular weight distribution: Molecular weight range 8,000 - 20,000 20,000 - 32,000 32,000 - 44,000 44,000 - 56,000 56,000 -68,000 68,000 -80,000 80,000 - 92,000 Having a DP=763, which of the following common polymers is this sample? Xi 0.05 0.15 0.21 0.28 0.18 0.10 0.03 Wi 0.02 0.08 0.17 0.29 0.23 0.16 0.05 Select one: O a. Polymethylmethacrylate with a monomer molecular weight of 100.121 g/mol O b. Polystyrene with a monomer molecular weight of 104.15 g/mol Polycarbonate with a monomer molecular weight of 61.0168 g/mol O c. O d. Polyvinyl chloride with a monomer molecular weight of 62.498 g/mol Polypropylene with a monomer molecular weight of 42.08 g/mol O e.

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An epoxy (E=2.7GPA) is reinforced with carbon fiber with module of elasticity equal to 260 GPa. Design a composite with a longitudinal elastic modulus of 160 GPa. Select one: a. Vm = 70 vol%, Vf = 30 vol% b. Vm = 40 vol%, Vf = 50 vol% C. Vm = 39 vol%, Vf = 61 vol% d. Vm = 62 vol%, Vf = 38 vol%

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