We have found new exact analytical expressions of the deflection of various plane truss structures and analyzed the existing ones. Truss deflections have been calculated by the Maxwell-Mohr formula assuming the elastic behavior of the truss elements using the method of induction on the number of panels. We have carried out a comparative analysis with known solutions and studied the quantitative and qualitative features of solutions. Characteristic features and limits on the number of panels have been identified. The studies have been carried out with the support of the Maple computer mathematics system in symbolic form. We used the Lira multifunctional software package aimed at designing and calculating civil and engineering structures for comparing the solutions and testing them.