Question

A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?

\[ {Given: } F = 1000\,{N} \]

• A. \(BD\)
• B. \(BC\)
• C. \(BA\)
• D. \(AD\)

Hint:

In truss analysis, always look for joints with no external loads and minimal connecting members to quickly identify zero-force members.

Answer 1

The Correct Option is A

Analyzing the truss structure

In truss analysis, zero-force members can be identified using the following rules:
1. If two non-collinear members meet at a joint that has no external force or support, both members are zero-force members.
2. If three members meet at a joint where two of them are collinear and there is no external force or support, the third member is a zero-force member.

Looking at the truss structure, the joint \( B \) only has two members: \( BD \) and \( BC \), and there is no external force or support acting at this joint. Therefore, by Rule 1, both members are zero-force members.

Conclusion:
The member \( BD \) is a zero-force member.