Calculate the expected elastic modulus for a carbon-fiber composite with a continuous uniaxial reinforcement loaded longitudinally given the matrix has a modulus of 5 GPa, the reinforcement has a modulus of 120 GPa and the composite has 63vol% matrix & 37vol% reinforcement.
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- Q: For a continuous and oriented fiber-reinforced composite, the moduli of elasticity in the longitudinal and transverse directions are 19.7 GPa and 3.66 GPa, respectively. A) If the volume fraction of fibers is 0.25, determine the moduli of elasticity of fiber and matrix phases. B) If the cross-sectional area is 200 mm? and a stress of 40 MPa is applied in this longitudinal direction, compute the magnitude of the load carried by each of the fiber and matrix phases. C) Determine the strain that is sustained by each phase when the stress in part (b) is applied.Determine the y-bar centroid of the composite figure shown. Where x1%-68; x2=100 and y3D84 x1 x2 - yDetermine the x-bar centroid of the composite figure shown. Where r=49 mmShow your solution and round off if possible
- Determine the x-bar centroid of the composite figure shown. Where r=42 mmShow your solutionConsider a 40 % V¢ SiC whisker-reinforced aluminum composite. Ef = 400 GPa, Em = 70 GPa, and (l/d) = 20. Compute the longitudinal elastic mod- %3D ulus of this composite if all the whiskers are aligned in the longitudinal direction. Use Halpin-Tsai-Kardos equations. Take = 2(1ld).IV- It is necessary to design a continuous and aligned glass fiber-reinforced polyester having a tensile strength of at least 1400 MPa in the longitudinal direction. The maximum possible specific gravity is 1.65. Using the following data, determine whether such a composite is possible. Justify. Assume a value of 15 MPa for the stress on the matrix when the fibers fail. Material Glass fiber Polyester Specific gravity 2.5 1.35 Tensile strength (MPa) 3500 50
- A FRP composite includes 47% continuous and aligned Aramid fibers by volume. The moduli of elasticity of the Aramid fibers and the epoxy resin matrix are 19 * 106 psi and 0.6 * 106 psi, respectively.a. Compute the modulus of elasticity of the composite in the longitudinal and transverse directions.b. If the composite cross-sectional area is 0.5 in.2 and a stress of 12 ksi is applied in the longitudinal direction, compute the load carried by the fibers and the matrix.c. Determine the strain sustained by each of the phases when stress in part(b) is applied.A circular FRP composite rod with continuous and aligned fibers has a 3 in. diameter. The rod is simply supported with a span of 4 ft and is subjected to three-point bending with a 270 lb center load. a. If the maximum allowable center deflection cannot exceed 0.02 in., what is the minimum modulus of the composite in order to meet this requirement? b. If the FRP has a modulus as obtained in Part a and the moduli of the matrix and the fibers are 0.5 × 10" psi and 20 × 10* psi, respectively. what is minimum percent of fibers that meets this requirement?Compute the components of the centroid Of the composite area shown. X = ÿ 11 y 60 mm 60 mm x
- A circular FRP composite rod with continuous and aligned fibers has a3 in. diameter. The rod is simply supported with a span of 4 ft and is subjected to three-point bending with a 270 lb center load.a. If the maximum allowable center deflection cannot exceed 0.02 in.,what is the minimum modulus of the composite in order to meet this requirement?b. If the FRP has a modulus as obtained in Part a and the moduli of the matrix and the fibers are 0.5 * 106 psi and 20 * 106 psi, respectively, what is minimum percent of fibers that meets this requirement?An aligned and continuous fiber reinforced composite consists of fibers with an elastic modulus of 42 * 106 psi and a matrix with an elastic modulus of 0.5 * 106 psi. If the fibers are required to carry 92% of the total load in the longitudinal direction (isostrain condition), determine the volume fraction of the fibers and matrix needed to accomplish this task. Also, determine the composite modulus of elasticity for this case.Define Particle-Reinforced Composites.