An old composite product of a company is comprised of 40 vol% fibre with the Young's modulus (E = 110 GPa) in a matrix with the Young's modulus (E = 40 GPa). Recent inspection has identified deficiencies in this product that require replacement of this material. Which of the following statement is false regarding the replacement if the Young's modulus of the new composite parallel to the fibre direction should not be lower than the old product? Note that: E₂ = V₁E₁ + (1-V₂) Em (A) Using the same matrix (E = 40 GPa), and 35 vol% of a different type of fibre (Ef = 120 GPa) can satisfy the requirement. (B) Composite consisting of 25 vol% of fibre with the Young's modulus (E-130 GPa), and the matrix with the Young's modulus (E_ = 30 GPa) is a good candidate. Keeping the same type of fibre (E = 110 GPa), but with 50 vol% in a different matrix (E = 35 GPa) can be considered. (C) (D) It is not recommended to use 20 vol% fibres with the Young's modulus (E;= 140 GPa) in a matrix with the Young's modulus (E = 30 GPa). (E) It is acceptable to use the same 40 vol% of fibres but with a different Young's modulus (E;= 120 GPa) in a matrix with the Young's modulus (E_ = 35 GPa).
An old composite product of a company is comprised of 40 vol% fibre with the Young's modulus (E = 110 GPa) in a matrix with the Young's modulus (E = 40 GPa). Recent inspection has identified deficiencies in this product that require replacement of this material. Which of the following statement is false regarding the replacement if the Young's modulus of the new composite parallel to the fibre direction should not be lower than the old product? Note that: E₂ = V₁E₁ + (1-V₂) Em (A) Using the same matrix (E = 40 GPa), and 35 vol% of a different type of fibre (Ef = 120 GPa) can satisfy the requirement. (B) Composite consisting of 25 vol% of fibre with the Young's modulus (E-130 GPa), and the matrix with the Young's modulus (E_ = 30 GPa) is a good candidate. Keeping the same type of fibre (E = 110 GPa), but with 50 vol% in a different matrix (E = 35 GPa) can be considered. (C) (D) It is not recommended to use 20 vol% fibres with the Young's modulus (E;= 140 GPa) in a matrix with the Young's modulus (E = 30 GPa). (E) It is acceptable to use the same 40 vol% of fibres but with a different Young's modulus (E;= 120 GPa) in a matrix with the Young's modulus (E_ = 35 GPa).
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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