In an aligned and continuous carbon fiber-reinforced nylon 6,6 composite, the fibers are to carry 94 % of a load applied in the longitudinal direction. i Carbon fiber Nylon 6,6 (a) Using the data provided, determine the volume fraction of fibers that will be required. i Modulus of Elasticity [GPa(psi)] 260 (37 ×106) 2.8 (4.0×105) Tensile Strength [MPa(psi)] 4000 (5.8×105) 76 (11,000) (b) What will be the tensile strength of this composite? Assume that the matrix stress at fiber failure is 50 MPa (7250 psi). MPa

In an aligned and continuous carbon fiber-reinforced nylon 6,6 composite, the fibers are to carry 94 % of a load applied in the longitudinal direction. i Carbon fiber Nylon 6,6 (a) Using the data provided, determine the volume fraction of fibers that will be required. i Modulus of Elasticity [GPa(psi)] 260 (37 ×106) 2.8 (4.0×105) Tensile Strength [MPa(psi)] 4000 (5.8×105) 76 (11,000) (b) What will be the tensile strength of this composite? Assume that the matrix stress at fiber failure is 50 MPa (7250 psi). MPa

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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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
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
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?
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
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.
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
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
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?
Q5 (a) Figure 6 shows two types of polymeric products fabricated using different processing techniques. Suggest with justification for the type of processes used to produce the products: i. Product A ii. Product B A B Figure 6. Two types of polymeric products (a) plastic bottles and (b) plastic car boot tray (b) The molecular weight data of a Polymer X are given in Table 3. Once undergone a melting process, it achieves degree of polymerization, DP of 498 upon solidification. i. Calculate the number-average molecular weight (Mn) for the polymer. ii. Calculate the molecular weight for monomers of the Polymer X. iii. Prove that the Polymer X is a polytetrafluoroethylene (PTFE) with chemical formula of (C2F4)n- Given the atomic weights for carbon, C is 12.011 g/mol and fluorine, F is 18.998 g/mol.
A continuous and aligned fiber-reinforced composite is to be produced consisting of 30% vol aramid fibers and 70% vol of a polycarbonate matrix. Mechanical characteristics from the test are given below. The composite is characterized by mechanical testing in both longitudinal and transverse loading. Calculate the elastic modulus of each component. Modulus of Elasticity (GPa) Aramid fibers 121.68 Polycarbonate 3.42
The repeat unit MW of an unknown polymeric material is 230 g/mol and has the following composition. With the information provided below calculate: -mers 80 % O The number-average MW O The weight-average MW 0 Dispersity 5 90 25 100 30 120 25 150 15
An unknown polymer sample was found to have the following molecular weight distribution: Molecular weight range Wi 8,000 - 20,000 0.05 0.02 20,000 – 32,000 0.15 0.08 32,000 - 44,000 0.21 0.17 44,000 – 56,000 0.28 0.29 56,000 - 68,000 0.18 0.23 68,000 - 80,000 0.10 0.16 80,000 - 92,000 0.03 0.05 Which of the following common polymers is this sample? (This question has only one correct answer)