City Guilds Model Questions Vol1 2024 Engineering Question 21

Practice objective / multiple choice question 21 from the 2024 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2024 Engineering Objective / Multiple Choice Medium Difficulty
Question 21 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2024 • ENGINEERING • objective

Two rods A and B are fixed in parallel between two plates and carry a tensile load of 10 kN. Rod A has Young's modulus \(E_{A}=200\) GPa and cross‑sectional area \(A_{A}=20\) mm\(^2\). Rod B has unknown modulus \(E_{B}\) and area \(A_{B}=30\) mm\(^2\). The measured total extension of the assembly under load is \(0.5\) mm.\n\n(a) Determine \(E_{B}\) in GPa (to two decimal places).\n\n(b) If the extension must not exceed \(0.4\) mm and the area of rod A cannot be changed, what minimum additional area (mm\(^2\), nearest integer) must be added to rod B while keeping \(E_{B}\) unchanged?

Answer Options

A. E_B = 480.00 GPa; additional area = 12 mm^2
B. E_B = 533.33 GPa; additional area = 8 mm^2
Correct Answer C. E_B = 533.33 GPa; additional area = 9 mm^2
D. E_B = 600.00 GPa; additional area = 7 mm^2
Correct Answer
C
Correct Option:
E_B = 533.33 GPa; additional area = 9 mm^2

About This Question

This is City Guilds Model Questions Vol1 2024 Engineering Question 21. It is one of the objective questions from the 2024 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Medium .

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