Inputs:Outputs:●●●=E₁, E2, U12, G₁2, α₁ and a₂Use the following numerical values for sample calculation: (vf●E{ = 233 GPav2 = 13 = 0.200Fiber propertiesMatrix propertiesFiber volume fractionG2 G3 = 8.96 GPaa = -0.540 x 10-6/KE = E= 23.1 GPa23 = 0.400G₁3α₂ = α² = 10.10 x 10-6/K= 8.27 GPa=0.6)Em4.62 GPaa = 41.4 x 10-6/K= 0.360 3- Derive the rule-of-mixtures equation (α₂ = α{V¹ + a²Vm) for the coefficient of thermal expansion α₂.Compare the variation of a₂ based on rule-of-mixtures & alternative rule with fiber volume fraction forgraphite-reinforced material (use numerical values of question 1 for fiber and matrix properties).

Answered: Image /qna-images/answer/55b3a339-4b6b-4c39-90bc-ecd69ff9da21.jpg

3- Derive the rule-of-mixtures equation (a₂ = a{Vf + amVm) for the coefficient of thermal expansion α2. Compare the variation of a₂ based on rule-of-mixtures & alternative rule with fiber volume fraction for graphite-reinforced material (use numerical values of question 1 for fiber and matrix properties).

3- Derive the rule-of-mixtures equation (a₂ = a{Vf + amVm) for the coefficient of thermal expansion α2. Compare the variation of a₂ based on rule-of-mixtures & alternative rule with fiber volume fraction for graphite-reinforced material (use numerical values of question 1 for fiber and matrix properties).

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

ii) A continuous and aligned glass fiber-reinforced composite consist of 40 vol% of glass fibers having a modulus of elasticity of 69 GPa and 60 vol% of polyester resin that, when hardened, displays a modulus of 3.4 GPa. Find the modulus of elasticity of this composite in the longitudinal direction.
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.
Solve correctly please,with detailed explaination.
V. Using the figure/data below, answer the following questions for polystyrene: (a) What is the specific free volume at 120°C? (b) What is the specific free volume at 80°C? ag "24 x 104 1ºc OR "55x 104 10C Spacific Volume 100°C Temperature, OC
9) Consider a layered biocomposite (see Figure) in which a crystalline phase (dark) is alternating with amorphous phase (light). The volume fraction of the crystalline material is 0.3 and the Young's modulus of the crystalline and amorphous fractions are 50 GPa and 50 MPa respectively. Find effective Young's modulus in perpendicular direction and to the composite. Compare this result to effective Young's modulus in parallel direction to the composite.
Using the aid of a diagram, describe the behaviour stress vs strain of a brittle polymer. Give one example of a brittle pharmaceutical polymer and their function in table formu
(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
The compressive strength of aramid fiber is about one-eighth of its tensile stress. Estimate the smallest diameter of a rod on which the aramid fiber can be wound without causing kinks, etc., on its compression side.
Consider a carbon fibre composite, made using an epoxy resin. The modulus of the fibres Efis 210 GPa, and the modulus of the matrix Em is 3.2 GPa. Calculate the following moduli, and choose the correct answers from the list below. Modulus of a unidirectional composite using the rule of mixtures at a volume fraction of 35% fibre. E0⁰ E0°/90° Maximum modulus of a cross-ply laminate of the material. Egº = 76.5 MPa. E0⁰ = 75.6 GPa. Eoº = 101.8 GPa. Egº = 110.2 MPa. E0°/90° = 0.3 MPa. E0°/90° = 0.5 MPa. E0°/90° = 36.8 GPa. E0°/90° = 42.5 GPa.
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
Question 5. A metal-matrix composite (MMC) is made of a 6061-Al alloy matrix and continuous boron fibers. The boron fibers are produced with a 15.5 ụm diameter tungsten-wire core that is coated with boron to make a final 107 µm diameter fiber. A unidirectional composite is made with 63 vol % of the boron fibers in the Al 6061 matrix. ASsuming the law of mixtures applies to isostrain conditions, calculate the tensile modulus of the composite in the direction of the fibers. Data are Eß = 370 GPa, Ew = 410 GPa, and EAi = 70.4 GPa.
Question Seven (Plastics) The data below is from a fibre reinforced plastic. Would this composite be suitable for use at 400°C? Explain your answer. Temperature (°C) 20 100 200 300 400 500 600 Plastic A Plastic B Plastic C Yield Strength (MPa) 270 350 47 Tensile Strength (MPa) 300 500 52 E (GPa) 130 3 14 115 100 95 Question Eight (Plastics) Identify the thermoplastic, the elastomer and the thermoset. 70 58 0 Young's Modulus (GPa) Elongation (%) 12 3 600