A continuous and aligned fiber-reinforced composite is to be produced consisting of 42 vol% aramid fibers and 58 vol% of a polycarbonate matrix; mechanical characteristics of these two materials are as follows: Aramid fiber Polycarbonate Modulus of Elasticity [GPa (psi)] Tensile Strength [MPa (psi)] 131 (19×106) 2.4 (3.5×105) 3600 (520,000) 65 (9425) Also, the stress on the polycarbonate matrix when the aramid fibers fail is 45 MPa (6500 psi). For this composite, compute: (a) the longitudinal tensile strength

A continuous and aligned fiber-reinforced composite is to be produced consisting of 42 vol% aramid fibers and 58 vol% of a polycarbonate matrix; mechanical characteristics of these two materials are as follows: Aramid fiber Polycarbonate Modulus of Elasticity [GPa (psi)] Tensile Strength [MPa (psi)] 131 (19×106) 2.4 (3.5×105) 3600 (520,000) 65 (9425) Also, the stress on the polycarbonate matrix when the aramid fibers fail is 45 MPa (6500 psi). For this composite, compute: (a) the longitudinal tensile strength

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A continuous and aligned fiber-reinforced composite is to be produced consisting of 33 vol% aramid fibers and 67 vol% of a polycarbonate matrix; mechanical characteristics of these two materials are as follows: Modulus of Elasticity [GPa (psi)] Tensile Strength [MPa (psi)] 131 (19 × 106) 3600 (520,000) 2.4 (3.5 × 105) 65 (9425) i Assume that this composite has a cross-sectional area of 340 mm² (0.53 in.²) and is subjected to a longitudinal load of 48200 N (10800 lbf). (a) Calculate the fiber-matrix load ratio. Aramid fiber i Polycarbonate (b) Calculate the actual load carried by fiber phase. i N (c) Calculate the actual load carried by matrix phase. N
Molecular weight data for some polymer are tabulated here. Compute (a) the number-average molecular weight, (b) the weight-average molecular weight. (c) If it is known that this material's degree of polymerization is 710, which one of the polymers listed in Table 14.3 is this polymer? Why? Molecular Weight Range g/mol 15,000-30,000 Xi Wi 0.04 0.01 30,000-45,000 0.07 0.04 45,000-60,000 0.16 0.11 60,000-75,000 0.26 0.24 75,000-90,000 0.24 0.27 90,000 105,000 0.12 0.16 105,000-120,000 0.08 0.12 120,000-135,000 0.03 0.05
Consider a graphite-reinforced polymer composite lamina. Plot the graph of each elastic constant (E1, V12, E2, and G₁2) versus the fiber volume fraction V. Use all values of V, ranging from 0 to 1 (in increments of 0.1). Assume the following material properties for the matrix and fibers. Em 4.62 GPa, E{ = 233 GPa, E = 23.1 GPa, G₁₂ = = 8.96 GPa = vm = 0.360 v2 = 0.200 123 = 0.400 G₁3 = 8.27 GPa
Compression molding is a manufacturing process in which the molding material is preheated then placed in an open mold cavity where the compressive action of the punch forces the polymer into the desired shape as shown in the figure below. Based on your understanding of the behavior of polymers, which of the statements below regarding compression molding of polymers are accurate? Punch Cavity C. -Upper mold half Charge 41 (1) -Lower mold half Knock-out pin V, F |x.F (2) and (3) Molded part a. Lower operating temperatures are more desirable as they reduce viscosity making it easier to fill the cavity b. This process can only be used for thermosets as they can thermally cure from monomer state This process can be used for both thermosets and thermoplastics as they can both be thermally shaped d. This process is suitable for rubber, PVC and polymethyl methacrylate
(b) A continuous and aligned fiber-reinforced composite is to be produced using 45 vol% of aramid fibers and 55 vol% of polycarbonate matrix. Mechanical properties of these two materials that are given in Table Q5(b): Table Q5(b): Mechanical properties of fiber and matrix Modulus of Elasticity (GPa) Tensile Strength (MPa) Aramid Fiber 131 3600 Polycarbonate 2.4 65 If the stress on the polycarbonate matrix is 35 MPa, when the aramid fibers fail, then compute the followings: (i) the longitudinal tensile strength (ii) the longitudinal modulus of elasticity
It is known that a unidirectional composite lamina has the reduced stiffness matrixin its fiber direction. [156 GPa 3 G Pa O 3 GPa 12 GPa 0 004 GPa] (a) What is the transformed reduced stiffness matrix for a lamina that is oriented in 45°? (b) A composite laminate has a stack sequence of [0/45]2 with the lamina. Each lamina has a thickness of 1 mm. Calculate the [A], [B] and [D].
Consider a graphite-reinforced polymer composite lamina. Use the simple rule-of-mixtures formulas to calculate the values of the four elastic constants E1, V12, E2, and G12 for the lamina. Use V₁= 0.6. Assume the following material properties for the matrix and fibers. Em 4.62 GPa, E = 233 GPa, E = 23.1 GPa, G₁₂ = 8.96 GPa m = 0.360 2 = 0.200 3 = 0.400 G3 = 8.27 GPa
Question 2 = 219,48 M//a = 247,3785 Pa 2.1 Consider a polymer reinforced with Spectra 1000 fibers, with a fiber volume ratio of x = 15 %. For a cross sectional area of 130 mm² and a load of 250 kg, calculate the stress in the fibers and in the matrix if the matrix material is polycarbonate. 2.2 Why are fibres capable of supporting a large portion of the tensile load in composite materials?
Calculate the density of a composite made with 35% Kevlar-49 fibers in an epoxy resin (ρ = 1.1 kg/m3, E = 2.5 GPa). For Kevlar-49, Ef = 131 GPa; density = 1440 kg/m3
(B) Composite consists of polyester as a matrix reinforced by glass fiber. If the composite have cross- sectional area is (250 mm') and stress of (50 MPa) is applied in this longitudinal direction. 1-Compute the weight fraction of fibers and matrix. 2-Compute the magnitude of the load carried by each of fiber and matrix phase. Note:- Modulus of Elasticity (GPa) Material Density (g/cm³) Polyester 1.38 3.4 Glass Fiber 2.58 69 Composite 2.1
A composite with a minimum elastic modulus of 50 GPa is to be created by mixing uniaxial epoxy with metal fibre. Calculate the minimum Elastic modulus of the metal fibre given the following data for the epoxy matrix: Elastic modulus of the epoxy matrix is 5 GPa • Volume fraction of the epoxy matrix is 0.6 A- в I U S x2 x
Connecting rod (as shown below) is a car part that connects engine piston to crankshaft and converts reciprocating motion into rotating motion. It performs under load at high temperature around 150°C. Long carbon fiber thermoplastic composite (LFT) with 30% carbon fiber has been considered to replace metal (steel or aluminum) rod to improve efficiency. Based on the data for different polymers listed in the table above, which polymer(s) would you choose as the polymer matrix for the connecting rod? What is your rationale?