City Guilds Model Questions Vol1 2024 Engineering Question 44

Practice objective / multiple choice question 44 from the 2024 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2024 Engineering Objective / Multiple Choice Medium Difficulty
Question 44 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2024 • ENGINEERING • objective

A rectangular beam of length \(1.2\) m has a cross‑section \(30\) mm × \(20\) mm and is made of a composite material consisting of \(60\%\) carbon fibre (Young's modulus \(E_f = 230\) GPa) and \(40\%\) epoxy matrix (Young's modulus \(E_m = 3.5\) GPa), with fibres aligned along the beam length.\ \(i\) Determine the effective Young's modulus \(E_{\text{eff}}\) of the composite using the rule of mixtures.\ \(ii\) If the beam is subjected to an axial tensile load of \(12\) kN, calculate the resulting axial elongation \(\Delta L\) (in mm). Give \(E_{\text{eff}}\) to two decimal places and \(\Delta L\) to two decimal places.

Answer Options

Correct Answer A. E_eff = 139.40 GPa, ΔL = 0.17 mm
B. E_eff = 141.50 GPa, ΔL = 0.15 mm
C. E_eff = 136.20 GPa, ΔL = 0.20 mm
D. E_eff = 138.00 GPa, ΔL = 0.22 mm
Correct Answer
A
Correct Option:
E_eff = 139.40 GPa, ΔL = 0.17 mm

About This Question

This is City Guilds Model Questions Vol1 2024 Engineering Question 44. It is one of the objective questions from the 2024 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Medium .

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support