Q1: You are designing a high-pressure oxygen cylinder for hospitals fighting against COVID. The material used is layered unidirectional continuous fiber reinforced composite, as schematically shown in Fig.1 (a). In the 0⁰ layer, the fiber is along the Y direction, and the fiber is along X direction in the 90° layer. The thickness of the 90° layer is 1.5 times of that of the 0° layer. The matrix material is an isotropic material with the Young's modulus E-10 GPa and volume fraction Vm=20%, while the continuous fiber is an anisotropic material with the Young's modulus E₁-250 GPa along the length direction, E2-20 GPa along the transverse direction and volume fraction V₁-80% a) Based on rule of mixture and mechanics of material method, calculate the effective Young's modulus along each direction (Ex, Ey, E₂). b) The as-produced (unloaded) inner radius Ro-0.1 m, the wall thickness H=0.005 m (<

Q1: You are designing a high-pressure oxygen cylinder for hospitals fighting against COVID. The material used is layered unidirectional continuous fiber reinforced composite, as schematically shown in Fig.1 (a). In the 0⁰ layer, the fiber is along the Y direction, and the fiber is along X direction in the 90° layer. The thickness of the 90° layer is 1.5 times of that of the 0° layer. The matrix material is an isotropic material with the Young's modulus E-10 GPa and volume fraction Vm=20%, while the continuous fiber is an anisotropic material with the Young's modulus E₁-250 GPa along the length direction, E2-20 GPa along the transverse direction and volume fraction V₁-80% a) Based on rule of mixture and mechanics of material method, calculate the effective Young's modulus along each direction (Ex, Ey, E₂). b) The as-produced (unloaded) inner radius Ro-0.1 m, the wall thickness H=0.005 m (<

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

See similar textbooks

Similar questions

Q1: Consider the diameter of carbon fiber is 7 µm and the diameter of glass fiber is 16 μm. (a) Determine the fiber volume fraction in (i) Square array of fiber packing and (ii) Triangular array of fiber packing, for fiber spacing-to-fiber diameter ratios (s/d) of 1.0, 1.25, 1.5, 1.75, and 2.0. a) Find the fiber center-to-center spacing for the ratios. b) Plot the fiber volume fractions and the center- to- center / diameter ratios c) Explain what factors affect the fiber volume fraction d) Compare the fiber volume fraction of the two packing methods. e) What is the theoretical maximum fiber volume fraction for each of the two composites? Are they dependent on the fiber type or diameter?
1. An element of graphite-reinforced composite is completely dry and is constrained against any dimensional changes in the 1 and 2 directions, but it is free to expand in the 3 direction. The element absorbs 1.5% of its dry weight in the form of moisture. (a) What is the strain in the 3 direction as a result of the moisture absorption? Why is this strain different from the value given by B3AM? (b) What stresses develop in the element? Assume that moisture absorption does not influence the material properties.
Lightweight epoxy composite with thermal insulation properties is required. Use a hollow glass ball as a stabilizer. Glass balls 1/16 inch in diameter and 0.001 inch in wall thickness. It weighs one foot and has a density of 0.65 g / cm3 The glass ball epoxy of any weight trying to produce a composite to do more? The density of glass is 2.5 g / cm3 and that of epoxy is 1.25 g / cm3
(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
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
Using the table below, estimate the components of the matrices and develop the stiffness and compliance matrices for an orthotropic lamina of E-glass/470-36 E-glass/vinylester.
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
1) Assuming that the moduli and volume fractions of fiber and matrix materials are known, obtain the rule of mixtures in order to calculate the longitudinal Young's (elasticity) modulus of a unidirectional lamina by use of iso-strain assumption
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
A large-particle composite consisting of tungsten particles within a copper matrix is to be prepared. If the volume fractions of tungsten and copper are 0.70 and 0.30, respectively, a) Compute the modulus of elasticity of this composite in the longitudinal direction. (The upper limit) and the modulus of elasticity in the transverse direction. (The lower limit), given the data that follow. Modulus of Elasticity (GPa) Copper 110 Tungsten 407 b) If the cross-sectional area is 280 mm2 and a stress of 60 MPa is applied in this longitudinal direction, compute the magnitude of the load carried by each of the fiber (tungsten) and matrix (copper) phases.
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
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