Step 1: Understanding the ideal truss assumption.
In the analysis of trusses, certain ideal assumptions are made to simplify calculations. One key assumption is related to the nature of joints between members.
Step 2: Nature of joints in a truss.
Truss members are assumed to be connected by smooth pin joints.
Smooth pins allow rotation but do not resist moments, ensuring that only axial forces (tension or compression) act in the members.
Step 3: Analysis of options.
(A) Rough pins: Incorrect, because rough pins would resist rotation and introduce moments.
(B) Smooth pins: Correct, as this assumption ensures members carry only axial forces.
(C) Either of them: Incorrect, since the assumption is specific to smooth pins.
(D) Neither of them: Incorrect, as pin joints are essential to truss behavior.
Step 4: Conclusion.
Hence, in a truss, members are assumed to be joined by smooth pins.