Basically, a truss is a structure whose members are only under axial loads (this means the members are either in pure tension or compression, there is no bending in the members) In reality, construction defects and eccentricity in the loads can cause small bending of the members, but this is ignored in analysis.
The governing equation when analyzing a truss is that the sum of forces has to equal zero (because our structure is not moving, right?). Compression is considered a negative force and tension is positive, and the balance of tension and compression in the truss cancels out so the structure is in equilibrium.
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