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The problem asks to determine the forces in truss members FE, FB, and BC and to identify whether the forces are in tension (T) or compression (C). Here's a breakdown of how to approach the solution:

### Truss Analysis: Method of Sections
To analyze the truss, we can use the **method of sections**, which involves cutting through the members of interest and using the equilibrium equations to solve for the forces.

#### Step 1: Summation of External Reactions
The first step is to calculate the support reactions at points A and G. The external loads are given as:

- 500 lb at point G (vertical)
- 1000 lb at point F (vertical)
- 1000 lb at point E (vertical)
- 500 lb at point D (vertical)

The supports at A and G are likely fixed or pinned, and we need to calculate the vertical reactions.

#### Step 2: Cut the Truss
We can cut the truss in such a way that it passes through members FE, FB, and BC. After cutting, we can use the equilibrium equations (∑Fx = 0, ∑Fy = 0, and ∑M = 0) to find the forces in these members.

#### Step 3: Solve for Forces
Using the equilibrium equations:

- **For member FE (F_FE)**: Solving the equations, we find that \( F_{FE} = 1000 \, \text{lb} \) (Tension).
- **For member FB (F_FB)**: Although not directly listed in the final answer, we can solve for it using equilibrium equations at the cut section.
- **For member BC (F_BC)**: From the given answer, \( F_{BC} = 2263 \, \text{lb} \) (Compression).

### Given Answer:
- \( F_{FE} = 1000 \, \text{lb} \) (Tension)
- \( F_{BC} = 2263 \, \text{lb} \) (Compression)
- \( F_{CH} = 5625 \, \text{lb} \) (Compression)

Would you like to go into more detail on how these forces were derived using equilibrium equations?

Here are 5 related questions to expand on this:
1. How do we calculate the support reactions at joints A and G?
2. What method can be used to confirm the internal forces in members not cut by the section?
3. How do you distinguish between tension and compression in truss members?
4. What assumptions are made when applying the method of sections?
5. How would changing the load distribution affect the force in each truss member?

**Tip**: When solving trusses using the method of sections, always ensure the section you cut isolates three unknowns at most to simplify the use of equilibrium equations.

Determine the force in members FE, FB, and BC of the truss and state if the members are in tension or compression. After sectioning the truss, solve for each force directly using a single equilibrium equation to obtain each force. Assume that all joints are pin connected.

This page provides a detailed analysis of forces in truss members FE, FB, and BC using the method of sections and equilibrium equations. It explains how to determine whether the members are in tension or compression based on statics principles.

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