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日期:2024-12-28 07:18

Materials Module (4CCE1MAT)

Coursework 1 (Semester 1, 2024-25)

Deadline: 4 pm, Thursday, 24th  October

Question

A wire made of copper (Cu) (diameter=0.209 cm) undergoes different conditions as shown in Figure 1. The unloaded length of the Cu wire at 25 °C (initial state) is 1.5 m. At State A, the temperature increases to 400 °C. At state B, the wire is loaded with a solid cube made of copper while the temperature is 400 °C. Finally, at State C, the copper cube is first removed, and then the temperature returns to the initial temperature (25 °C). Using the information provided in Table 1 and Figure 2,

a)   Calculate the length of the wire at State A (LA). [20 Marks]

b)   Calculate the length of the wire at State B (LB). [40 Marks]

c)   Calculate the length of the wire at State C (LC). [40 Marks]

Figure 1. A copper wire at different conditions

Table 1. Some materials parameters for copper (Cu)

Density (g/cm3)

Thermal expansion coefficient (1/°C)

8.96

17×10-6

Figure 2. Stress-strain curve for copper (Cu) at 400 °C




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