Question

How many zero force members are there in the truss shown in figure?

• A. 0
• B. 1
• C. 2
• D. 3

Hint:

Always start with joints having only two or three members—it simplifies identification of zero-force members.

Answer 1

The Correct Option is C

Concept: Zero-force members are structural members in a truss that do not carry any force for a given loading condition. These members are often included for stability or future loading conditions. Rules:
• If two non-collinear members meet at a joint with no external load → both are zero-force.
• If three members meet at a joint and two are collinear → third is zero-force.

Step 1: Analyze joint by joint carefully.
We inspect each joint of the truss systematically.

Step 2: Identify joints with no external load.
At such joints, apply zero-force member rules.

Step 3: Apply collinearity rule.
At joints where two members lie in straight line, the third non-collinear member carries no force.

Step 4: Deduce zero-force members.
Applying above rules carefully to the given figure:
• Two members clearly satisfy zero-force conditions

Step 5: Final conclusion.
\[ \boxed{2 \text{ zero-force members}} \]