Analytical Dependence of Planar Truss Deformations on the Number of Panels

Building constructions, buildings and structures

The object of the study is a planar statically determinate truss of the regular type. By the method of induction, based on the results of calculations of a series of similar trusses with a consistently increasing number of panels, the desired dependence is derived. All transformations and the solution of the system of linear equations for determining the forces in the rods are performed in the Maple computer mathematics package. The deflection is calculated using the Maxwell-Mohr formula. Results. The formula for the dependence of the deflection on the number of panels contains ten coefficients obtained from the solution of recurrent equations. Graphs of the dependence of the deflection and horizontal displacement of the movable support under the action of a uniform load along the upper belt are constructed. The asymptotics of the solutions is found.