Problem 2: The hanger consists of three 2014-T6 aluminum alloy rods, rigid beams AC and BD, and a spring. If the hook supports a load of P = 60 kN, determine the vertical displacement of F. Rods AB and CD each have a diameter of 10 mm, and rod EF has a diameter of 15 mm. The spring has a stiffness of k = 100 MN/m and is unstretched when P = 0. 450 mm E D 450 mm

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The hanger consists of three 2014-T6 aluminum alloy rods, rigid beams AC and BD, and a spring.
If the hook supports a load of P = 60 kN, determine the vertical displacement of F. Rods AB and CD each have
a diameter of 10 mm, and rod EF has a diameter of 15 mm. The spring has a stiffness of k = 100 MN/m and is
unstretched when P = 0. 

**Problem 2:**

The hanger consists of three 2014-T6 aluminum alloy rods, rigid beams \( AC \) and \( BD \), and a spring. If the hook supports a load of \( P = 60 \, \text{kN} \), determine the vertical displacement of \( F \). Rods \( AB \) and \( CD \) each have a diameter of \( 10 \, \text{mm} \), and rod \( EF \) has a diameter of \( 15 \, \text{mm} \). The spring has a stiffness of \( k = 100 \, \text{MN/m} \) and is unstretched when \( P = 0 \).

**Diagram Explanation:**

- **Rigid Beams**: Horizontal beams \( AC \) and \( BD \) are shown connecting the vertical rods.
- **Vertical Rods**: 
  - Rods \( AB \) and \( CD \) are shown with a vertical length of \( 450 \, \text{mm} \) each.
  - Rod \( EF \) is also vertical, with the spring in parallel, connected at point \( E \) and extending down to the hook at \( F \).
- **Spring**: Positioned between \( E \) and \( F \), symbolized in a coiled shape, with stiffness \( k = 100 \, \text{MN/m} \).
- **Load**: The load \( P = 60 \, \text{kN} \) acts downward at point \( F \).

The goal is to compute how much point \( F \) moves vertically when the assembly bears the described load.
Transcribed Image Text:**Problem 2:** The hanger consists of three 2014-T6 aluminum alloy rods, rigid beams \( AC \) and \( BD \), and a spring. If the hook supports a load of \( P = 60 \, \text{kN} \), determine the vertical displacement of \( F \). Rods \( AB \) and \( CD \) each have a diameter of \( 10 \, \text{mm} \), and rod \( EF \) has a diameter of \( 15 \, \text{mm} \). The spring has a stiffness of \( k = 100 \, \text{MN/m} \) and is unstretched when \( P = 0 \). **Diagram Explanation:** - **Rigid Beams**: Horizontal beams \( AC \) and \( BD \) are shown connecting the vertical rods. - **Vertical Rods**: - Rods \( AB \) and \( CD \) are shown with a vertical length of \( 450 \, \text{mm} \) each. - Rod \( EF \) is also vertical, with the spring in parallel, connected at point \( E \) and extending down to the hook at \( F \). - **Spring**: Positioned between \( E \) and \( F \), symbolized in a coiled shape, with stiffness \( k = 100 \, \text{MN/m} \). - **Load**: The load \( P = 60 \, \text{kN} \) acts downward at point \( F \). The goal is to compute how much point \( F \) moves vertically when the assembly bears the described load.
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