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To solve this truss problem, let’s analyze each question in turn. Given dataTo solve this truss problem, let’s analyze each question in turn. Given 

- Height \( h = 4 \, \text{m} \)
- Span \( s = 3 \, \text{m} \)
- Load \( W = 30 \, \text{kN} \)

For these types of problems, the following steps will be useful:
1. Use the method of joints or method of sections to analyze forces within members.
2. Recognize that diagonal members will be in either tension (T) or compression (C), based on their placement and the external load distribution.

### Problem 1: Determine the Force in Member CD
To solve this, let’s consider the geometry of the truss and symmetry, as well as how the load \( W \) distributes through the truss.

### Problem 2: Determine Which Diagonal is Acting and the Force in It
For diagonal members \( CF \) and \( DE \), use the structure's symmetry. Since the load \( W \) is centrally located, we need to determine which diagonal (either \( CF \) or \( DE \)) will experience a compressive or tensile force based on this central load.

### Problem 3: Determine the Resulting Force in Member BD
Member \( BD \) should be analyzed based on its position relative to the load \( W \) and other members. Using truss analysis methods can yield the exact internal force and determine if it’s in tension or compression.

Would you like to go through the calculations in detail for each part? 

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**Relative Questions for Further Understanding:**

1. How would the forces change if the load \( W \) was applied asymmetrically?
2. What role does the height \( h \) play in determining the force in member CD?
3. How would you determine whether CF or DE is in tension or compression without solving the entire truss?
4. What methods are available for analyzing complex trusses beyond the method of joints?
5. How does the position of a load impact the resulting forces in members of a symmetric truss?

**Tip:** When analyzing trusses, symmetry can simplify calculations by reducing the number of unknowns to solve.

Problem 1. Flexible cables CF and DE brace the truss at its central panel. Given: h = 4 m, s = 3 m, W = 30 kN. Determine the force in member CD, in kN. Determine which diagonal is acting and the force in it, in kN. Determine the resulting force in member BD, in kN.

Solve a truss analysis problem involving forces in members CD, CF, and BD for a structure with a central load of 30 kN, height of 4 m, and span of 3 m. Learn about the method of joints and sections for determining forces in truss members, including compressive and tensile forces.

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