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A cantilever truss as shown in the figure is subjected to a horizontal load 'P' at joint A. The total number of zero force members in the truss is

A cantilever truss as shown in the figure is subjected to a horizontal load 'P' at joint A. The total number of zero force members in the truss is Correct Answer 10

For the zero-force member in the truss:

two forces act at a joint and they are not the same line, then each force must be zero provided there is no external load at that joint.

If three forces act at a joint and two of them are in same line, then the third force must be zero provided no external force at the joint.

Therefore, member BI is a zero – force member.

Similarly, CI, HC, DH, GD, EG are also zero – force member.

Since load P and the member AB are collinear, therefore, member AI, IH, HG and GF are also zero – force member.

Hence, the total number of zero – force member in the given truss is 10. 

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