Discussion
Identify the zero-force member in the truss structure as shown in the figure.
Figure is not to scale
Answer: A
The zero-force member is ST.
Look at joint T. It meets only two members, ST (horizontal) and RT (vertical), and the roller support there gives only a vertical reaction. There is no horizontal external force at T, so horizontal equilibrium of the joint gives the force in ST as zero. RT then carries the support reaction.
The rule of thumb: at an unloaded joint, or one loaded only along one member, where two non-collinear members meet, the member not aligned with the load carries nothing.
SR, SP and SQ all carry load: the 10 kN acts at S, and SQ, SP and SR are needed to carry it to the supports.
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