City Guilds Model Questions Vol1 2023 Engineering Question 5

Practice practical question 5 from the 2023 City Guilds Model Questions Vol1 Engineering examination. This question covers Materials, Tensile testing, Stress‑strain relationship, Young’s modulus, Experimental error .

City Guilds Model Questions Vol1 2023 Engineering Practical

Topics: Materials Tensile testing Stress‑strain relationship Young’s modulus Experimental error

Question 5 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2023 • ENGINEERING • practical

A student is required to determine the tensile strength and Young’s modulus of a cylindrical steel rod using a universal testing machine (UTM). The rod has a measured length of 300 mm (to the nearest 0.5 mm) and a diameter of 12.0 mm (to the nearest 0.1 mm). The UTM records the load applied and the corresponding extension of the rod as shown in the table. | Load (N) | Extension (mm) | |----------|----------------| | 0 | 0.00 | | 2000 | 0.12 | | 4000 | 0.24 | | 6000 | 0.36 | | 8000 | 0.48 | | 10000 | 0.60 | | 12000 | 0.85 | | 14000 | 1.20 | | 16000 | 1.80 | | 18000 | 2.55 | | 20000 | 3.60 | The data up to a load of 10 000 N are considered to lie within the elastic region. Answer the following questions:

Question Parts

( a )

Calculate the original cross‑sectional area of the rod. Show how the uncertainty in the diameter measurement propagates to give the uncertainty in the area (express the result as A ± ΔA in mm²).

( b )

Using the data for the elastic region (loads up to 10 000 N), calculate: (i) the engineering stress (σ) in MPa for each of the five points; (ii) the engineering strain (ε) for each of the five points; (iii) the Young’s modulus (E) of the material by determining the gradient of the stress‑strain curve (use the first and the fifth point). Show all intermediate steps.

( c )

Identify two possible sources of systematic error in this tensile test and suggest one method to minimise each error.

( d )

State one important precaution that must be observed when mounting the specimen on the UTM to avoid bending stresses.

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About This Question

This is City Guilds Model Questions Vol1 2023 Engineering Question 5. It is one of the practical questions from the 2023 City Guilds Model Questions Vol1 Engineering examination.

The question covers Materials, Tensile testing, Stress‑strain relationship, Young’s modulus, Experimental error .

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