City Guilds Model Questions Vol1 2019 Engineering Question 41

Practice objective / multiple choice question 41 from the 2019 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2019 Engineering Objective / Multiple Choice Medium Difficulty
Question 41 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2019 • ENGINEERING • objective

A composite material consists of carbon fibres and an epoxy matrix. The tensile strength of the epoxy is \(55\) MPa. The overall tensile strength of the composite, measured experimentally, is \(210\) MPa. The fibre volume fraction is \(V_f = 0.60\). (a) Determine the tensile strength of the fibre material. (b) Assuming the Young's modulus of the epoxy is \(3\) GPa and that the fibre modulus relates to its tensile strength by \(E_f = 5\,\sigma_f\) (with \(\sigma_f\) in GPa and \(E_f\) in GPa), calculate the Young's modulus of the composite using the rule of mixtures and state whether it satisfies a design requirement of at least \(2.0\) GPa.

Answer Options

A. Fiber tensile strength ≈ 280 MPa; Composite modulus ≈ 1.95 GPa; requirement not satisfied
Correct Answer B. Fiber tensile strength ≈ 313 MPa; Composite modulus ≈ 2.14 GPa; requirement satisfied
C. Fiber tensile strength ≈ 340 MPa; Composite modulus ≈ 2.30 GPa; requirement satisfied
D. Fiber tensile strength ≈ 313 MPa; Composite modulus ≈ 1.80 GPa; requirement not satisfied
Correct Answer
B
Correct Option:
Fiber tensile strength ≈ 313 MPa; Composite modulus ≈ 2.14 GPa; requirement satisfied

About This Question

This is City Guilds Model Questions Vol1 2019 Engineering Question 41. It is one of the objective questions from the 2019 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Medium .

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