https://file.aiquickdraw.com/mathbot/file/1721843981806z1vm202x.png

To identify the zero-force members in the truss shown, we can use the following rules:

1. **Rule 1:** If two non-collinear members meet at a joint unstressed by external forces or support reactions, both members are zero-force members.
2. **Rule 2:** If three members form a truss joint and two of them are collinear, the third member is a zero-force member, provided no external load or support reaction is applied at the joint.

Let's apply these rules step-by-step:

1. **Joint F:**
   - Members: \( AF \), \( FC \), \( FG \)
   - There are no external forces acting on joint \( F \), and \( AF \) and \( FG \) are collinear. Therefore, \( FC \) is a zero-force member.

2. **Joint G:**
   - Members: \( FG \), \( GE \), \( GH \)
   - There are no external forces acting on joint \( G \), and \( FG \) and \( GH \) are collinear. Therefore, \( GE \) is a zero-force member.

3. **Joint H:**
   - Members: \( GH \), \( HD \), \( HB \)
   - There are no external forces acting on joint \( H \), and \( GH \) and \( HB \) are collinear. Therefore, \( HD \) is a zero-force member.

After applying these rules, the zero-force members identified are \( FC \), \( GE \), and \( HD \).

Would you like more details or have any questions? Here are five related questions you can ask:

1. How can you determine if a member in a truss is a zero-force member using joint equilibrium equations?
2. What are the steps to analyze a truss using the method of joints?
3. How does the method of sections help in identifying zero-force members in a truss?
4. Can you explain the difference between a zero-force member and a member with negligible force?
5. What are the practical applications of identifying zero-force members in truss design?

**Tip:** When analyzing trusses, always start by looking for joints with two non-collinear members or three members where two are collinear to quickly identify zero-force members.

Learn how to identify zero-force members in trusses using rules of statics. This guide provides a detailed step-by-step solution for identifying zero-force members in a truss structure, applying rules of equilibrium and structural analysis techniques.

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