City Guilds Model Questions Vol1 2021 Engineering Question 5

Practice practical question 5 from the 2021 City Guilds Model Questions Vol1 Engineering examination. This question covers Mechanical properties, Stress‑strain relationship, Young's modulus, Experimental error analysis .

City Guilds Model Questions Vol1 2021 Engineering Practical
Topics: Mechanical properties Stress‑strain relationship Young's modulus Experimental error analysis
Question 5 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2021 • ENGINEERING • practical

In the Materials laboratory a cylindrical steel specimen is to be tested for its Young's modulus using a universal testing machine (UTM). The specimen is clamped between the machine grips and the gauge length (distance between the inner faces of the grips) is 200 mm. The diameter of the specimen is measured at three equally spaced locations along its length and the readings are 12.00 mm, 11.96 mm and 12.04 mm. The UTM records the applied axial load and the corresponding extension of the specimen as follows: | Load (kN) | Measured extension (mm) | |-----------|--------------------------| | 5 | 0.15 | | 10 | 0.31 | | 15 | 0.48 | The machine has a compliance of 0.02 mm kN⁻¹, meaning that a portion of the measured extension is due to deformation of the machine itself. Using the data provided, answer the questions below.

Question Parts

( a )
Determine the average diameter of the specimen and calculate its cross‑sectional area. Express the area in m².
( b )
For each load, calculate: (i) the engineering stress (σ = P/A) in MPa; (ii) the corrected strain (ε) after removing the machine compliance, using ε = (ΔL – C·P)/L₀, where C = 0.02 mm kN⁻¹ and L₀ = 200 mm. Present the results in a table.
( c )
Using the stress–strain data obtained in part (b), determine the Young's modulus of the steel specimen. Assume a linear relationship and calculate the gradient of the best‑fit straight line through the three points (you may use the first‑ and last‑point method). Express the modulus in GPa.
( d )
The reference Young's modulus for the grade of steel used is 210 GPa. Calculate the percentage error of the experimentally obtained value.
( e )
Identify two possible sources of systematic error in this experiment and suggest one practical method to minimise each.

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This is City Guilds Model Questions Vol1 2021 Engineering Question 5. It is one of the practical questions from the 2021 City Guilds Model Questions Vol1 Engineering examination.

The question covers Mechanical properties, Stress‑strain relationship, Young's modulus, Experimental error analysis .

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