EXACT SOLUTION OF THE PROBLEM OF DEFLECTION OF A TRUSS WITH AN ARBITRARY NUMBER OF PANELS IN THE MAPLE SYSTEM

Abstract

This article presents the formulae derived for statically determinate flat truss under load evenly distributed in the lower boom depending on the number of panels. The truss lattice with lowering diagonals is symmetric with respect to the middle. In order to calculate the forces in the rods, method of joints is used. Simultaneous equations in symbol presentation were solved using the Maple computer mathematics software package. Different stiffness coefficients for boom and lattice rods are considered when calculating the deflection using Maxwell–Mohr formula. For the purpose of synthesis of a number of solutions for the trusses with different numbers of panels in case of arbitrary number of panels, the induction method and functions for creation and solution of recurrent equations in Maple system were used. As a result, some limit properties of solution were discovered.

Keywords

• truss
• exact solution
• deflection
• induction