Discussion
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?
Answer: A
The zero-force member is BD.
At joint B, members BA and BC lie on the same straight line CA, and BD is the only member not along that line. No external load acts at B.
Resolving forces at B perpendicular to CA, only BD has a component in that direction, so its force must be zero. BA, BC and AD all carry load: the 1000 N force at A is shared between AC and AD, and the supports at C and D react it.
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