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Figure 2: Shaft subjected to concentrated loadings. Question 2 11 marks The hanger in Fig. 2 is made from three aluminium rods \( A B, C D \) and \( E F \). In addition, rigid beams \( A C \) and \( B D \) are attached as well as a spring at \( E \). Please note the following: - Rods \( A B \) and \( C D \) have a diameter of 8.5 mm . - Rod EF has a diameter of \( \mathbf{1 4 . 0 ~ m m} \). - The spring has a stiffness of \( k=2.75 \mathrm{kMN} / m \) and is unstretched when \( \mathbf{P}=0 \). Assuming \( E_{a l}=73.1 \mathrm{GPa} \) and linear elastic material behaviour, perform the following: (a) Explain what is meant by the term "rigid beam", and how will it impact our calculations in this example. [4] (b) Determine the vertical displacement of \( F \). [7]

          Figure 2: Shaft subjected to concentrated loadings.

Question 2 11 marks The hanger in Fig. 2 is made from three aluminium rods \( A B, C D \) and \( E F \). In addition, rigid beams \( A C \) and \( B D \) are attached as well as a spring at \( E \). Please note the following:
- Rods \( A B \) and \( C D \) have a diameter of 8.5 mm .
- Rod EF has a diameter of \( \mathbf{1 4 . 0 ~ m m} \).
- The spring has a stiffness of \( k=2.75 \mathrm{kMN} / m \) and is unstretched when \( \mathbf{P}=0 \).

Assuming \( E_{a l}=73.1 \mathrm{GPa} \) and linear elastic material behaviour, perform the following:
(a) Explain what is meant by the term "rigid beam", and how will it impact our calculations in this example.
[4]
(b) Determine the vertical displacement of \( F \).
[7]

Figure 2: Shaft subjected to concentrated loadings.

Question 2 11 marks The hanger in Fig. 2 is made from three aluminium rods A B, C D and E F. In addition, rigid beams A C and B D are attached as well as a spring at E. Please note the following:
- Rods A B and C D have a diameter of 8.5 mm .
- Rod EF has a diameter of 1 4 . 0 𝐦 𝐦.
- The spring has a stiffness of k=2.75 kMN / m and is unstretched when 𝐏=0.

Assuming Ea l=73.1 GPa and linear elastic material behaviour, perform the following:
(a) Explain what is meant by the term "rigid beam", and how will it impact our calculations in this example.
[4]
(b) Determine the vertical displacement of F.
[7]

Added by Lisa B.

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