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To solve this truss problem, we will apply **method of joints** and **method of sections** to determine the forces in members \( FI \), \( FG \), \( DG \), and \( EH \) and whether each member is in **tension** or **compression**. Here's an outline of how to approach this:

### Steps to Analyze the Truss
1. **Calculate Reactions at Supports**:
   - Identify the supports (usually pinned and roller supports). Given the loading and geometry, we’ll use equilibrium equations to calculate the reactions at points \( A \) and \( L \).
   - Use the sum of vertical forces and the sum of moments about a point to solve for the reactions.

2. **Analyze Joints for Member Forces**:
   - Start at a joint where only two or three unknowns exist, often the simplest joints.
   - Use the equilibrium equations \(\Sigma F_x = 0\) and \(\Sigma F_y = 0\) at each joint.
   
3. **Determine Tension or Compression**:
   - When solving for forces in members, positive values generally indicate **tension** (pulling the joint), and negative values indicate **compression** (pushing the joint).

4. **Apply Specific Analysis for Members \( FI \), \( FG \), \( DG \), and \( EH \)**:
   - Focus on these members by selecting sections or joints that directly connect these members.

Would you like a detailed, step-by-step solution for each calculation?

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### Follow-Up Questions
1. How do we determine the support reactions at points \( A \) and \( L \)?
2. What role does the method of sections play in solving truss problems?
3. How can we interpret the direction of forces in truss members as tension or compression?
4. Why is it important to start analyzing joints with fewer unknowns?
5. How does the geometry of the truss affect the distribution of forces in its members?

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**Tip**: When dealing with truss problems, a free-body diagram is essential for understanding the forces at each joint and support.

A vaulted roof truss is loaded as shown. Determine the force in members FI, FG, DG, and EH. Point G is halfway between points F and H. Also state whether each member is in tension or compression.

Analyze a vaulted roof truss to determine the forces in members FI, FG, DG, and EH, using the method of joints and sections. Includes equilibrium equations and analysis of tension/compression in truss members. Suitable for college engineering students.

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